0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
0.00/0.01	% Ordering    : kbo
0.00/0.01	% 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 ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
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
0.00/0.20	% Computer   : n109.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:18:08 CST 2018
4.00/4.19	% done 1254 iterations in 3.983s
4.00/4.19	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
4.00/4.19	% SZS output start Refutation
4.00/4.19	tff(conj_0, conjecture,
4.00/4.19	  (![E:fun(nat,type),T:type,U:dB,I:nat]:
4.00/4.19	     (pp(aa(dB,bool,it,
4.00/4.19	            aa(nat,dB,
4.00/4.19	               aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U),I))) | 
4.00/4.19	      (~
4.00/4.19	        pp(aa(type,bool,
4.00/4.19	              aa(dB,fun(type,bool),
4.00/4.19	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
4.00/4.19	              t))) | 
4.00/4.19	      (~pp(aa(dB,bool,it,U))) | 
4.00/4.19	      (~
4.00/4.19	        pp(aa(type,bool,
4.00/4.19	              aa(dB,fun(type,bool),
4.00/4.19	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
4.00/4.19	                    aa(type,fun(nat,type),
4.00/4.19	                       aa(nat,fun(type,fun(nat,type)),
4.00/4.19	                          aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
4.00/4.19	                             shift(type),E),
4.00/4.19	                          I),
4.00/4.19	                       t)),
4.00/4.19	                 a),
4.00/4.19	              T)))))).
4.00/4.19	tff(zf_stmt_0, negated_conjecture,
4.00/4.19	  (~
4.00/4.19	    (![E:fun(nat,type),T:type,U:dB,I:nat]:
4.00/4.19	       (pp(aa(dB,bool,it,
4.00/4.19	              aa(nat,dB,
4.00/4.19	                 aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U),I))) | 
4.00/4.19	        (~
4.00/4.19	          pp(aa(type,bool,
4.00/4.19	                aa(dB,fun(type,bool),
4.00/4.19	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
4.00/4.19	                t))) | 
4.00/4.19	        (~pp(aa(dB,bool,it,U))) | 
4.00/4.19	        (~
4.00/4.19	          pp(aa(type,bool,
4.00/4.19	                aa(dB,fun(type,bool),
4.00/4.19	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
4.00/4.19	                      aa(type,fun(nat,type),
4.00/4.19	                         aa(nat,fun(type,fun(nat,type)),
4.00/4.19	                            aa(fun(nat,type),
4.00/4.19	                               fun(nat,fun(type,fun(nat,type))),shift(type),E),
4.00/4.19	                            I),
4.00/4.19	                         t)),
4.00/4.19	                   a),
4.00/4.19	                T))))))).
4.00/4.19	tff('0', plain,
4.00/4.19	    pp(
4.00/4.19	      aa(type, bool, 
4.00/4.19	        aa(dB, fun(type, bool), 
4.00/4.19	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.00/4.19	            aa(type, fun(nat, type), 
4.00/4.19	              aa(nat, fun(type, fun(nat, type)), 
4.00/4.19	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
4.00/4.19	                  shift(type), sk_E), sk_I), t)), a), sk_T)),
4.00/4.19	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.00/4.19	tff('1', plain,
4.00/4.19	    pp(
4.00/4.19	      aa(type, bool, 
4.00/4.19	        aa(dB, fun(type, bool), 
4.00/4.19	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, sk_E), sk_U1), 
4.00/4.19	        t)),
4.00/4.19	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.00/4.19	tff(fact_5_Cons_I1_J, axiom,
4.00/4.19	  ((?[X11:type]:
4.00/4.19	      pp(aa(type,bool,
4.00/4.19	            aa(dB,fun(type,bool),
4.00/4.19	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
4.00/4.19	                  aa(type,fun(nat,type),
4.00/4.19	                     aa(nat,fun(type,fun(nat,type)),
4.00/4.19	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
4.00/4.19	                           shift(type),e),
4.00/4.19	                        i),
4.00/4.19	                     t)),
4.00/4.19	               a),
4.00/4.19	            X11))) & 
4.00/4.19	   (![E2:fun(nat,type),T5:type,U3:dB,I2:nat]:
4.00/4.19	      (pp(aa(type,bool,
4.00/4.19	             aa(dB,fun(type,bool),
4.00/4.19	                aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
4.00/4.19	                   aa(type,fun(nat,type),
4.00/4.19	                      aa(nat,fun(type,fun(nat,type)),
4.00/4.19	                         aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
4.00/4.19	                            shift(type),E2),
4.00/4.19	                         I2),
4.00/4.19	                      t)),
4.00/4.19	                a),
4.00/4.19	             T5)) =>
4.00/4.19	       (pp(aa(dB,bool,it,U3)) =>
4.00/4.19	        (pp(aa(type,bool,
4.00/4.19	               aa(dB,fun(type,bool),
4.00/4.19	                  aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E2),U3),
4.00/4.19	               t)) =>
4.00/4.19	         pp(aa(dB,bool,it,
4.00/4.19	               aa(nat,dB,
4.00/4.19	                  aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U3),I2))))))))).
4.00/4.19	tff('2', plain,
4.00/4.19	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
4.00/4.19	      (~ pp(aa(dB, bool, it, X0))
4.00/4.19	       | ~ pp(
4.00/4.19	             aa(type, bool, 
4.00/4.19	               aa(dB, fun(type, bool), 
4.00/4.19	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, X1), 
4.00/4.19	                 X0), t))
4.00/4.19	       | ~ pp(
4.00/4.19	             aa(type, bool, 
4.00/4.19	               aa(dB, fun(type, bool), 
4.00/4.19	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.00/4.19	                   aa(type, fun(nat, type), 
4.00/4.19	                     aa(nat, fun(type, fun(nat, type)), 
4.00/4.19	                       aa(fun(nat, type), 
4.00/4.19	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
4.00/4.19	                         X1), X2), t)), a), X3))
4.00/4.19	       | pp(
4.00/4.19	           aa(dB, bool, it, 
4.00/4.19	             aa(nat, dB, 
4.00/4.19	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	                 X0), X2)))),
4.00/4.19	    inference('cnf', [status(esa)], [fact_5_Cons_I1_J])).
4.00/4.19	tff('3', plain,
4.00/4.19	    ![X0 : nat, X1 : type]:
4.00/4.19	      (~ $true
4.00/4.19	       | pp(
4.00/4.19	           aa(dB, bool, it, 
4.00/4.19	             aa(nat, dB, 
4.00/4.19	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	                 sk_U1), X0)))
4.00/4.19	       | ~ pp(
4.00/4.19	             aa(type, bool, 
4.00/4.19	               aa(dB, fun(type, bool), 
4.00/4.19	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.00/4.19	                   aa(type, fun(nat, type), 
4.00/4.19	                     aa(nat, fun(type, fun(nat, type)), 
4.00/4.19	                       aa(fun(nat, type), 
4.00/4.19	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
4.00/4.19	                         sk_E), X0), t)), a), X1))
4.00/4.19	       | ~ pp(aa(dB, bool, it, sk_U1))),
4.00/4.19	    inference('sup-', [status(thm)], ['1', '2'])).
4.00/4.19	tff('4', plain, pp(aa(dB, bool, it, sk_U1)),
4.00/4.19	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.00/4.19	tff('5', plain,
4.00/4.19	    ![X0 : nat, X1 : type]:
4.00/4.19	      (~ $true
4.00/4.19	       | pp(
4.00/4.19	           aa(dB, bool, it, 
4.00/4.19	             aa(nat, dB, 
4.00/4.19	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	                 sk_U1), X0)))
4.00/4.19	       | ~ pp(
4.00/4.19	             aa(type, bool, 
4.00/4.19	               aa(dB, fun(type, bool), 
4.00/4.19	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.00/4.19	                   aa(type, fun(nat, type), 
4.00/4.19	                     aa(nat, fun(type, fun(nat, type)), 
4.00/4.19	                       aa(fun(nat, type), 
4.00/4.19	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
4.00/4.19	                         sk_E), X0), t)), a), X1))
4.00/4.19	       | ~ $true),
4.00/4.19	    inference('demod', [status(thm)], ['3', '4'])).
4.00/4.19	tff('6', plain,
4.00/4.19	    ![X0 : nat, X1 : type]:
4.00/4.19	      (~ pp(
4.00/4.19	           aa(type, bool, 
4.00/4.19	             aa(dB, fun(type, bool), 
4.00/4.19	               aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.00/4.19	                 aa(type, fun(nat, type), 
4.00/4.19	                   aa(nat, fun(type, fun(nat, type)), 
4.00/4.19	                     aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
4.00/4.19	                       shift(type), sk_E), X0), t)), a), X1))
4.00/4.19	       | pp(
4.00/4.19	           aa(dB, bool, it, 
4.00/4.19	             aa(nat, dB, 
4.00/4.19	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	                 sk_U1), X0)))),
4.00/4.19	    inference('simplify', [status(thm)], ['5'])).
4.00/4.19	tff('7', plain,
4.00/4.19	    (~ $true
4.00/4.19	     | pp(
4.00/4.19	         aa(dB, bool, it, 
4.00/4.19	           aa(nat, dB, 
4.00/4.19	             aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	               sk_U1), sk_I)))),
4.00/4.19	    inference('sup-', [status(thm)], ['0', '6'])).
4.00/4.19	tff('8', plain,
4.00/4.19	    pp(
4.00/4.19	      aa(dB, bool, it, 
4.00/4.19	        aa(nat, dB, 
4.00/4.19	          aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	            sk_U1), sk_I))),
4.00/4.19	    inference('simplify', [status(thm)], ['7'])).
4.00/4.19	tff('9', plain,
4.00/4.19	    ~ pp(
4.00/4.19	        aa(dB, bool, it, 
4.00/4.19	          aa(nat, dB, 
4.00/4.19	            aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.00/4.19	              sk_U1), sk_I))),
4.00/4.19	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.00/4.19	tff('10', plain, ~ $true, inference('sup-', [status(thm)], ['8', '9'])).
4.00/4.19	tff('11', plain, $false, inference('simplify', [status(thm)], ['10'])).
4.00/4.19	
4.00/4.19	% SZS output end Refutation
4.00/4.20	EOF
