0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n088.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:29:38 CST 2018
15.41/15.60	% done 3309 iterations in 15.397s
15.41/15.60	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
15.41/15.60	% SZS output start Refutation
15.41/15.60	tff(help_COMBK_1_1_U, axiom,
15.41/15.60	  (![B:$tType,A:$tType,Q:B,P:A]: (aa(B,A,combk(A,B,P),Q) = P))).
15.41/15.60	tff('0', plain,
15.41/15.60	    ![X423 : $tType, X424 : X423, X425 : $tType, X426 : X425]:
15.41/15.60	      aa(X425, X423, combk(X423, X425, X424), X426) = X424,
15.41/15.60	    inference('cnf', [status(esa)], [help_COMBK_1_1_U])).
15.41/15.60	tff(fact_7_escape, axiom,
15.41/15.60	  (![B:$tType,Q1:fun(B,fun(state,bool)),Ca:com,
15.41/15.60	     Ga:fun(hoare_28830079triple(B),bool),Pa:fun(B,fun(state,bool))]:
15.41/15.60	     ((![Z1:B,S:state]:
15.41/15.60	         (pp(aa(state,bool,aa(B,fun(state,bool),Pa,Z1),S)) =>
15.41/15.60	          hoare_992312373derivs(B,Ga,
15.41/15.60	                                aa(fun(hoare_28830079triple(B),bool),
15.41/15.60	                                   fun(hoare_28830079triple(B),bool),
15.41/15.60	                                   aa(hoare_28830079triple(B),
15.41/15.60	                                      fun(fun(hoare_28830079triple(B),bool),
15.41/15.60	                                          fun(hoare_28830079triple(B),bool)),
15.41/15.60	                                      insert(hoare_28830079triple(B)),
15.41/15.60	                                      hoare_1841697145triple(B,
15.41/15.61	                                                             combk(fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   B,
15.41/15.61	                                                                   aa(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   aa(
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool)),
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool)),
15.41/15.61	                                                                   combc(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   fequal(
15.41/15.61	                                                                   state)),S)),
15.41/15.61	                                                             Ca,
15.41/15.61	                                                             combk(fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   B,
15.41/15.61	                                                                   aa(
15.41/15.61	                                                                   B,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   Q1,Z1)))),
15.41/15.61	                                   bot_bot(fun(hoare_28830079triple(B),bool)))))) =>
15.41/15.61	      hoare_992312373derivs(B,Ga,
15.41/15.61	                            aa(fun(hoare_28830079triple(B),bool),
15.41/15.61	                               fun(hoare_28830079triple(B),bool),
15.41/15.61	                               aa(hoare_28830079triple(B),
15.41/15.61	                                  fun(fun(hoare_28830079triple(B),bool),
15.41/15.61	                                      fun(hoare_28830079triple(B),bool)),
15.41/15.61	                                  insert(hoare_28830079triple(B)),
15.41/15.61	                                  hoare_1841697145triple(B,Pa,Ca,Q1)),
15.41/15.61	                               bot_bot(fun(hoare_28830079triple(B),bool))))))).
15.41/15.61	tff('1', plain,
15.41/15.61	    ![X28 : $tType, X29 : fun(hoare_28830079triple(X28), bool), 
15.41/15.61	      X30 : fun(X28, fun(state, bool)), X31 : com, 
15.41/15.61	      X32 : fun(X28, fun(state, bool))]:
15.41/15.61	      (hoare_992312373derivs(X28, X29, 
15.41/15.61	         aa(fun(hoare_28830079triple(X28), bool), 
15.41/15.61	           fun(hoare_28830079triple(X28), bool), 
15.41/15.61	           aa(hoare_28830079triple(X28), 
15.41/15.61	             fun(fun(hoare_28830079triple(X28), bool), 
15.41/15.61	               fun(hoare_28830079triple(X28), bool)), 
15.41/15.61	             insert(hoare_28830079triple(X28)), 
15.41/15.61	             hoare_1841697145triple(X28, X30, X31, X32)), 
15.41/15.61	           bot_bot(fun(hoare_28830079triple(X28), bool))))
15.41/15.61	       | pp(
15.41/15.61	           aa(state, bool, 
15.41/15.61	             aa(X28, fun(state, bool), X30, sk_Z1(X28, X30, X29, X31, X32)), 
15.41/15.61	             sk_S(X28, X30, X29, X31, X32)))),
15.41/15.61	    inference('cnf', [status(esa)], [fact_7_escape])).
15.41/15.61	tff(fact_5_singleton__conv2, axiom,
15.41/15.61	  (![B:$tType,A5:B]:
15.41/15.61	     (collect(B,aa(B,fun(B,bool),fequal(B),A5)) =
15.41/15.61	      aa(fun(B,bool),fun(B,bool),
15.41/15.61	         aa(B,fun(fun(B,bool),fun(B,bool)),insert(B),A5),bot_bot(fun(B,bool)))))).
15.41/15.61	tff('2', plain,
15.41/15.61	    ![X24 : $tType, X25 : X24]:
15.41/15.61	      collect(X24, aa(X24, fun(X24, bool), fequal(X24), X25))
15.41/15.61	       = aa(fun(X24, bool), fun(X24, bool), 
15.41/15.61	           aa(X24, fun(fun(X24, bool), fun(X24, bool)), insert(X24), X25), 
15.41/15.61	           bot_bot(fun(X24, bool))),
15.41/15.61	    inference('cnf', [status(esa)], [fact_5_singleton__conv2])).
15.41/15.61	tff(fact_77_Collect__def, axiom,
15.41/15.61	  (![B:$tType,Pa:fun(B,bool)]: (collect(B,Pa) = Pa))).
15.41/15.61	tff('3', plain,
15.41/15.61	    ![X299 : $tType, X300 : fun(X299, bool)]: collect(X299, X300) = X300,
15.41/15.61	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
15.41/15.61	tff('4', plain,
15.41/15.61	    ![X24 : $tType, X25 : X24]:
15.41/15.61	      aa(X24, fun(X24, bool), fequal(X24), X25)
15.41/15.61	       = aa(fun(X24, bool), fun(X24, bool), 
15.41/15.61	           aa(X24, fun(fun(X24, bool), fun(X24, bool)), insert(X24), X25), 
15.41/15.61	           bot_bot(fun(X24, bool))),
15.41/15.61	    inference('demod', [status(thm)], ['2', '3'])).
15.41/15.61	tff('5', plain,
15.41/15.61	    ![X28 : $tType, X29 : fun(hoare_28830079triple(X28), bool), 
15.41/15.61	      X30 : fun(X28, fun(state, bool)), X31 : com, 
15.41/15.61	      X32 : fun(X28, fun(state, bool))]:
15.41/15.61	      (hoare_992312373derivs(X28, X29, 
15.41/15.61	         aa(hoare_28830079triple(X28), fun(hoare_28830079triple(X28), bool), 
15.41/15.61	           fequal(hoare_28830079triple(X28)), 
15.41/15.61	           hoare_1841697145triple(X28, X30, X31, X32)))
15.41/15.61	       | pp(
15.41/15.61	           aa(state, bool, 
15.41/15.61	             aa(X28, fun(state, bool), X30, sk_Z1(X28, X30, X29, X31, X32)), 
15.41/15.61	             sk_S(X28, X30, X29, X31, X32)))),
15.41/15.61	    inference('demod', [status(thm)], ['1', '4'])).
15.41/15.61	tff('6', plain,
15.41/15.61	    ![X0 : fun(state, bool), X1 : $tType, X2 : fun(X1, fun(state, bool)), 
15.41/15.61	      X3 : com, X4 : fun(hoare_28830079triple(X1), bool)]:
15.41/15.61	      (pp(
15.41/15.61	         aa(state, bool, X0, 
15.41/15.61	           sk_S(X1, combk(fun(state, bool), X1, X0), X4, X3, X2)))
15.41/15.61	       | hoare_992312373derivs(X1, X4, 
15.41/15.61	           aa(hoare_28830079triple(X1), fun(hoare_28830079triple(X1), bool), 
15.41/15.61	             fequal(hoare_28830079triple(X1)), 
15.41/15.61	             hoare_1841697145triple(X1, combk(fun(state, bool), X1, X0), X3, 
15.41/15.61	               X2)))),
15.41/15.61	    inference('sup+', [status(thm)], ['0', '5'])).
15.41/15.61	tff(conj_0, conjecture,
15.41/15.61	  (hoare_992312373derivs(a,g,
15.41/15.61	                         aa(fun(hoare_28830079triple(a),bool),
15.41/15.61	                            fun(hoare_28830079triple(a),bool),
15.41/15.61	                            aa(hoare_28830079triple(a),
15.41/15.61	                               fun(fun(hoare_28830079triple(a),bool),
15.41/15.61	                                   fun(hoare_28830079triple(a),bool)),
15.41/15.61	                               insert(hoare_28830079triple(a)),
15.41/15.61	                               hoare_1841697145triple(a,
15.41/15.61	                                                      combk(fun(state,bool),
15.41/15.61	                                                            a,
15.41/15.61	                                                            combk(bool,state,
15.41/15.61	                                                                  fFalse)),
15.41/15.61	                                                      c,
15.41/15.61	                                                      aa(fun(state,bool),
15.41/15.61	                                                         fun(a,
15.41/15.61	                                                             fun(state,bool)),
15.41/15.61	                                                         aa(fun(a,
15.41/15.61	                                                                fun(fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool),
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool))),
15.41/15.61	                                                            fun(fun(state,
15.41/15.61	                                                                    bool),
15.41/15.61	                                                                fun(a,
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool))),
15.41/15.61	                                                            combc(a,
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  state,bool),
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  state,bool)),
15.41/15.61	                                                            aa(fun(a,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   bool,bool))),
15.41/15.61	                                                               fun(a,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool))),
15.41/15.61	                                                               combb(
15.41/15.61	                                                               fun(state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   bool,bool)),
15.41/15.61	                                                               fun(fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool)),
15.41/15.61	                                                               a,
15.41/15.61	                                                               combs(
15.41/15.61	                                                               state,bool,
15.41/15.61	                                                               bool)),
15.41/15.61	                                                               aa(fun(
15.41/15.61	                                                                  a,
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  state,bool)),
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  a,
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  state,
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  bool,bool))),
15.41/15.61	                                                                  combb(
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  state,bool),
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  state,
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  bool,bool)),
15.41/15.61	                                                                  a,
15.41/15.61	                                                                  combb(
15.41/15.61	                                                                  bool,
15.41/15.61	                                                                  fun(
15.41/15.61	                                                                  bool,bool),
15.41/15.61	                                                                  state,fconj)),
15.41/15.61	                                                                  p))),
15.41/15.61	                                                         aa(fun(state,bool),
15.41/15.61	                                                            fun(state,bool),
15.41/15.61	                                                            combb(bool,bool,
15.41/15.61	                                                                  state,fNot),
15.41/15.61	                                                            b)))),
15.41/15.61	                            bot_bot(fun(hoare_28830079triple(a),bool)))))).
15.41/15.61	tff(zf_stmt_0, negated_conjecture,
15.41/15.61	  (~
15.41/15.61	    hoare_992312373derivs(a,g,
15.41/15.61	                          aa(fun(hoare_28830079triple(a),bool),
15.41/15.61	                             fun(hoare_28830079triple(a),bool),
15.41/15.61	                             aa(hoare_28830079triple(a),
15.41/15.61	                                fun(fun(hoare_28830079triple(a),bool),
15.41/15.61	                                    fun(hoare_28830079triple(a),bool)),
15.41/15.61	                                insert(hoare_28830079triple(a)),
15.41/15.61	                                hoare_1841697145triple(a,
15.41/15.61	                                                       combk(fun(state,bool),
15.41/15.61	                                                             a,
15.41/15.61	                                                             combk(bool,
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fFalse)),
15.41/15.61	                                                       c,
15.41/15.61	                                                       aa(fun(state,bool),
15.41/15.61	                                                          fun(a,
15.41/15.61	                                                              fun(state,bool)),
15.41/15.61	                                                          aa(fun(a,
15.41/15.61	                                                                 fun(
15.41/15.61	                                                                 fun(
15.41/15.61	                                                                 state,bool),
15.41/15.61	                                                                 fun(
15.41/15.61	                                                                 state,bool))),
15.41/15.61	                                                             fun(fun(
15.41/15.61	                                                                 state,bool),
15.41/15.61	                                                                 fun(
15.41/15.61	                                                                 a,
15.41/15.61	                                                                 fun(
15.41/15.61	                                                                 state,bool))),
15.41/15.61	                                                             combc(a,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool)),
15.41/15.61	                                                             aa(fun(a,
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    bool,bool))),
15.41/15.61	                                                                fun(a,
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool),
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool))),
15.41/15.61	                                                                combb(
15.41/15.61	                                                                fun(state,
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    bool,bool)),
15.41/15.61	                                                                fun(fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool),
15.41/15.61	                                                                    fun(
15.41/15.61	                                                                    state,
15.41/15.61	                                                                    bool)),
15.41/15.61	                                                                a,
15.41/15.61	                                                                combs(
15.41/15.61	                                                                state,bool,
15.41/15.61	                                                                bool)),
15.41/15.61	                                                                aa(fun(
15.41/15.61	                                                                   a,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool)),
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   a,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   bool,bool))),
15.41/15.61	                                                                   combb(
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,bool),
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   bool,bool)),
15.41/15.61	                                                                   a,
15.41/15.61	                                                                   combb(
15.41/15.61	                                                                   bool,
15.41/15.61	                                                                   fun(
15.41/15.61	                                                                   bool,bool),
15.41/15.61	                                                                   state,
15.41/15.61	                                                                   fconj)),p))),
15.41/15.61	                                                          aa(fun(state,bool),
15.41/15.61	                                                             fun(state,bool),
15.41/15.61	                                                             combb(bool,bool,
15.41/15.61	                                                                   state,fNot),
15.41/15.61	                                                             b)))),
15.41/15.61	                             bot_bot(fun(hoare_28830079triple(a),bool)))))).
15.41/15.61	tff('7', plain,
15.41/15.61	    ~ hoare_992312373derivs(a, g, 
15.41/15.61	        aa(fun(hoare_28830079triple(a), bool), 
15.41/15.61	          fun(hoare_28830079triple(a), bool), 
15.41/15.61	          aa(hoare_28830079triple(a), 
15.41/15.61	            fun(fun(hoare_28830079triple(a), bool), 
15.41/15.61	              fun(hoare_28830079triple(a), bool)), 
15.41/15.61	            insert(hoare_28830079triple(a)), 
15.41/15.61	            hoare_1841697145triple(a, 
15.41/15.61	              combk(fun(state, bool), a, combk(bool, state, fFalse)), c, 
15.41/15.61	              aa(fun(state, bool), fun(a, fun(state, bool)), 
15.41/15.61	                aa(fun(a, fun(fun(state, bool), fun(state, bool))), 
15.41/15.61	                  fun(fun(state, bool), fun(a, fun(state, bool))), 
15.41/15.61	                  combc(a, fun(state, bool), fun(state, bool)), 
15.41/15.61	                  aa(fun(a, fun(state, fun(bool, bool))), 
15.41/15.61	                    fun(a, fun(fun(state, bool), fun(state, bool))), 
15.41/15.61	                    combb(fun(state, fun(bool, bool)), 
15.41/15.61	                      fun(fun(state, bool), fun(state, bool)), a, 
15.41/15.61	                      combs(state, bool, bool)), 
15.41/15.61	                    aa(fun(a, fun(state, bool)), 
15.41/15.61	                      fun(a, fun(state, fun(bool, bool))), 
15.41/15.61	                      combb(fun(state, bool), fun(state, fun(bool, bool)), 
15.41/15.61	                        a, combb(bool, fun(bool, bool), state, fconj)), p))), 
15.41/15.61	                aa(fun(state, bool), fun(state, bool), 
15.41/15.61	                  combb(bool, bool, state, fNot), b)))), 
15.41/15.61	          bot_bot(fun(hoare_28830079triple(a), bool)))),
15.41/15.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
15.41/15.61	tff(fact_22_empty__def, axiom,
15.41/15.61	  (![B:$tType]: (bot_bot(fun(B,bool)) = collect(B,combk(bool,B,fFalse))))).
15.41/15.61	tff('8', plain,
15.41/15.61	    ![X92 : $tType]:
15.41/15.61	      bot_bot(fun(X92, bool)) = collect(X92, combk(bool, X92, fFalse)),
15.41/15.61	    inference('cnf', [status(esa)], [fact_22_empty__def])).
15.41/15.61	tff('9', plain,
15.41/15.61	    ![X92 : $tType]: bot_bot(fun(X92, bool)) = combk(bool, X92, fFalse),
15.41/15.61	    inference('demod', [status(thm)], ['8', '3'])).
15.41/15.61	tff('10', plain,
15.41/15.61	    ~ hoare_992312373derivs(a, g, 
15.41/15.61	        aa(hoare_28830079triple(a), fun(hoare_28830079triple(a), bool), 
15.41/15.61	          fequal(hoare_28830079triple(a)), 
15.41/15.61	          hoare_1841697145triple(a, 
15.41/15.61	            combk(fun(state, bool), a, bot_bot(fun(state, bool))), c, 
15.41/15.61	            aa(fun(state, bool), fun(a, fun(state, bool)), 
15.41/15.61	              aa(fun(a, fun(fun(state, bool), fun(state, bool))), 
15.41/15.61	                fun(fun(state, bool), fun(a, fun(state, bool))), 
15.41/15.61	                combc(a, fun(state, bool), fun(state, bool)), 
15.41/15.61	                aa(fun(a, fun(state, fun(bool, bool))), 
15.41/15.61	                  fun(a, fun(fun(state, bool), fun(state, bool))), 
15.41/15.61	                  combb(fun(state, fun(bool, bool)), 
15.41/15.61	                    fun(fun(state, bool), fun(state, bool)), a, 
15.41/15.61	                    combs(state, bool, bool)), 
15.41/15.61	                  aa(fun(a, fun(state, bool)), 
15.41/15.61	                    fun(a, fun(state, fun(bool, bool))), 
15.41/15.61	                    combb(fun(state, bool), fun(state, fun(bool, bool)), a, 
15.41/15.61	                      combb(bool, fun(bool, bool), state, fconj)), p))), 
15.41/15.61	              aa(fun(state, bool), fun(state, bool), 
15.41/15.61	                combb(bool, bool, state, fNot), b))))),
15.41/15.61	    inference('demod', [status(thm)], ['7', '9', '4'])).
15.41/15.61	tff('11', plain,
15.41/15.61	    (~ $true
15.41/15.61	     | pp(
15.41/15.61	         aa(state, bool, bot_bot(fun(state, bool)), 
15.41/15.61	           sk_S(a, combk(fun(state, bool), a, bot_bot(fun(state, bool))), g, 
15.41/15.61	             c, 
15.41/15.61	             aa(fun(state, bool), fun(a, fun(state, bool)), 
15.41/15.61	               aa(fun(a, fun(fun(state, bool), fun(state, bool))), 
15.41/15.61	                 fun(fun(state, bool), fun(a, fun(state, bool))), 
15.41/15.61	                 combc(a, fun(state, bool), fun(state, bool)), 
15.41/15.61	                 aa(fun(a, fun(state, fun(bool, bool))), 
15.41/15.61	                   fun(a, fun(fun(state, bool), fun(state, bool))), 
15.41/15.61	                   combb(fun(state, fun(bool, bool)), 
15.41/15.61	                     fun(fun(state, bool), fun(state, bool)), a, 
15.41/15.61	                     combs(state, bool, bool)), 
15.41/15.61	                   aa(fun(a, fun(state, bool)), 
15.41/15.61	                     fun(a, fun(state, fun(bool, bool))), 
15.41/15.61	                     combb(fun(state, bool), fun(state, fun(bool, bool)), a, 
15.41/15.61	                       combb(bool, fun(bool, bool), state, fconj)), p))), 
15.41/15.61	               aa(fun(state, bool), fun(state, bool), 
15.41/15.61	                 combb(bool, bool, state, fNot), b)))))),
15.41/15.61	    inference('sup-', [status(thm)], ['6', '10'])).
15.41/15.61	tff('12', plain,
15.41/15.61	    ![X0 : $tType, X1 : X0]:
15.41/15.61	      aa(X0, bool, bot_bot(fun(X0, bool)), X1) = fFalse,
15.41/15.61	    inference('sup+', [status(thm)], ['9', '0'])).
15.41/15.61	tff('13', plain, (~ $true | pp(fFalse)),
15.41/15.61	    inference('demod', [status(thm)], ['11', '12'])).
15.41/15.61	tff('14', plain, pp(fFalse), inference('simplify', [status(thm)], ['13'])).
15.41/15.61	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
15.41/15.61	tff('15', plain, ~ pp(fFalse),
15.41/15.61	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
15.41/15.61	tff('16', plain, ~ $true, inference('sup-', [status(thm)], ['14', '15'])).
15.41/15.61	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
15.41/15.61	
15.41/15.61	% SZS output end Refutation
15.41/15.61	EOF
