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    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n170.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 07:17:53 CST 2018
3.12/3.35	% done 1148 iterations in 3.157s
3.12/3.35	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
3.12/3.35	% SZS output start Refutation
3.12/3.35	tff(conj_0, conjecture,
3.12/3.35	  (![E:fun(nat,type),T:type,U:dB,I:nat]:
3.12/3.35	     (pp(aa(dB,bool,it,
3.12/3.35	            aa(nat,dB,
3.12/3.35	               aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U),I))) | 
3.12/3.35	      (~
3.12/3.35	        pp(aa(type,bool,
3.12/3.35	              aa(dB,fun(type,bool),
3.12/3.35	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
3.12/3.35	              t))) | 
3.12/3.35	      (~pp(aa(dB,bool,it,U))) | 
3.12/3.35	      (~
3.12/3.35	        pp(aa(type,bool,
3.12/3.35	              aa(dB,fun(type,bool),
3.12/3.35	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.12/3.35	                    aa(type,fun(nat,type),
3.12/3.35	                       aa(nat,fun(type,fun(nat,type)),
3.12/3.35	                          aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
3.12/3.35	                             shift(type),E),
3.12/3.35	                          I),
3.12/3.35	                       t)),
3.12/3.35	                 a),
3.12/3.35	              T)))))).
3.12/3.35	tff(zf_stmt_0, negated_conjecture,
3.12/3.35	  (~
3.12/3.35	    (![E:fun(nat,type),T:type,U:dB,I:nat]:
3.12/3.35	       (pp(aa(dB,bool,it,
3.12/3.35	              aa(nat,dB,
3.12/3.35	                 aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U),I))) | 
3.12/3.35	        (~
3.12/3.35	          pp(aa(type,bool,
3.12/3.35	                aa(dB,fun(type,bool),
3.12/3.35	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
3.12/3.35	                t))) | 
3.12/3.35	        (~pp(aa(dB,bool,it,U))) | 
3.12/3.35	        (~
3.12/3.35	          pp(aa(type,bool,
3.12/3.35	                aa(dB,fun(type,bool),
3.12/3.35	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.12/3.35	                      aa(type,fun(nat,type),
3.12/3.35	                         aa(nat,fun(type,fun(nat,type)),
3.12/3.35	                            aa(fun(nat,type),
3.12/3.35	                               fun(nat,fun(type,fun(nat,type))),shift(type),E),
3.12/3.35	                            I),
3.12/3.35	                         t)),
3.12/3.35	                   a),
3.12/3.35	                T))))))).
3.12/3.35	tff('0', plain,
3.12/3.35	    pp(
3.12/3.35	      aa(type, bool, 
3.12/3.35	        aa(dB, fun(type, bool), 
3.12/3.35	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.12/3.35	            aa(type, fun(nat, type), 
3.12/3.35	              aa(nat, fun(type, fun(nat, type)), 
3.12/3.35	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
3.12/3.35	                  shift(type), sk_E), sk_I), t)), a), sk_T)),
3.12/3.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.12/3.35	tff('1', plain,
3.12/3.35	    pp(
3.12/3.35	      aa(type, bool, 
3.12/3.35	        aa(dB, fun(type, bool), 
3.12/3.35	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, sk_E), sk_U1), 
3.12/3.35	        t)),
3.12/3.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.12/3.35	tff(fact_5_Cons_I1_J, axiom,
3.12/3.35	  ((?[X11:type]:
3.12/3.35	      pp(aa(type,bool,
3.12/3.35	            aa(dB,fun(type,bool),
3.12/3.35	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.12/3.35	                  aa(type,fun(nat,type),
3.12/3.35	                     aa(nat,fun(type,fun(nat,type)),
3.12/3.35	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
3.12/3.35	                           shift(type),e),
3.12/3.35	                        i),
3.12/3.35	                     t)),
3.12/3.35	               a),
3.12/3.35	            X11))) & 
3.12/3.35	   (![E2:fun(nat,type),T5:type,U3:dB,I2:nat]:
3.12/3.35	      (pp(aa(type,bool,
3.12/3.35	             aa(dB,fun(type,bool),
3.12/3.35	                aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.12/3.35	                   aa(type,fun(nat,type),
3.12/3.35	                      aa(nat,fun(type,fun(nat,type)),
3.12/3.35	                         aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
3.12/3.35	                            shift(type),E2),
3.12/3.35	                         I2),
3.12/3.35	                      t)),
3.12/3.35	                a),
3.12/3.35	             T5)) =>
3.12/3.35	       (pp(aa(dB,bool,it,U3)) =>
3.12/3.35	        (pp(aa(type,bool,
3.12/3.35	               aa(dB,fun(type,bool),
3.12/3.35	                  aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E2),U3),
3.12/3.35	               t)) =>
3.12/3.35	         pp(aa(dB,bool,it,
3.12/3.35	               aa(nat,dB,
3.12/3.35	                  aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U3),I2))))))))).
3.12/3.35	tff('2', plain,
3.12/3.35	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
3.12/3.35	      (~ pp(aa(dB, bool, it, X0))
3.12/3.35	       | ~ pp(
3.12/3.35	             aa(type, bool, 
3.12/3.35	               aa(dB, fun(type, bool), 
3.12/3.35	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, X1), 
3.12/3.35	                 X0), t))
3.12/3.35	       | ~ pp(
3.12/3.35	             aa(type, bool, 
3.12/3.35	               aa(dB, fun(type, bool), 
3.12/3.35	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.12/3.35	                   aa(type, fun(nat, type), 
3.12/3.35	                     aa(nat, fun(type, fun(nat, type)), 
3.12/3.35	                       aa(fun(nat, type), 
3.12/3.35	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
3.12/3.35	                         X1), X2), t)), a), X3))
3.12/3.35	       | pp(
3.12/3.35	           aa(dB, bool, it, 
3.12/3.35	             aa(nat, dB, 
3.12/3.35	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	                 X0), X2)))),
3.12/3.35	    inference('cnf', [status(esa)], [fact_5_Cons_I1_J])).
3.12/3.35	tff('3', plain,
3.12/3.35	    ![X0 : nat, X1 : type]:
3.12/3.35	      (~ $true
3.12/3.35	       | pp(
3.12/3.35	           aa(dB, bool, it, 
3.12/3.35	             aa(nat, dB, 
3.12/3.35	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	                 sk_U1), X0)))
3.12/3.35	       | ~ pp(
3.12/3.35	             aa(type, bool, 
3.12/3.35	               aa(dB, fun(type, bool), 
3.12/3.35	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.12/3.35	                   aa(type, fun(nat, type), 
3.12/3.35	                     aa(nat, fun(type, fun(nat, type)), 
3.12/3.35	                       aa(fun(nat, type), 
3.12/3.35	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
3.12/3.35	                         sk_E), X0), t)), a), X1))
3.12/3.35	       | ~ pp(aa(dB, bool, it, sk_U1))),
3.12/3.35	    inference('sup-', [status(thm)], ['1', '2'])).
3.12/3.35	tff('4', plain, pp(aa(dB, bool, it, sk_U1)),
3.12/3.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.12/3.35	tff('5', plain,
3.12/3.35	    ![X0 : nat, X1 : type]:
3.12/3.35	      (~ $true
3.12/3.35	       | pp(
3.12/3.35	           aa(dB, bool, it, 
3.12/3.35	             aa(nat, dB, 
3.12/3.35	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	                 sk_U1), X0)))
3.12/3.35	       | ~ pp(
3.12/3.35	             aa(type, bool, 
3.12/3.35	               aa(dB, fun(type, bool), 
3.12/3.35	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.12/3.35	                   aa(type, fun(nat, type), 
3.12/3.35	                     aa(nat, fun(type, fun(nat, type)), 
3.12/3.35	                       aa(fun(nat, type), 
3.12/3.35	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
3.12/3.35	                         sk_E), X0), t)), a), X1))
3.12/3.35	       | ~ $true),
3.12/3.35	    inference('demod', [status(thm)], ['3', '4'])).
3.12/3.35	tff('6', plain,
3.12/3.35	    ![X0 : nat, X1 : type]:
3.12/3.35	      (~ pp(
3.12/3.35	           aa(type, bool, 
3.12/3.35	             aa(dB, fun(type, bool), 
3.12/3.35	               aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.12/3.35	                 aa(type, fun(nat, type), 
3.12/3.35	                   aa(nat, fun(type, fun(nat, type)), 
3.12/3.35	                     aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
3.12/3.35	                       shift(type), sk_E), X0), t)), a), X1))
3.12/3.35	       | pp(
3.12/3.35	           aa(dB, bool, it, 
3.12/3.35	             aa(nat, dB, 
3.12/3.35	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	                 sk_U1), X0)))),
3.12/3.35	    inference('simplify', [status(thm)], ['5'])).
3.12/3.35	tff('7', plain,
3.12/3.35	    (~ $true
3.12/3.35	     | pp(
3.12/3.35	         aa(dB, bool, it, 
3.12/3.35	           aa(nat, dB, 
3.12/3.35	             aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	               sk_U1), sk_I)))),
3.12/3.35	    inference('sup-', [status(thm)], ['0', '6'])).
3.12/3.35	tff('8', plain,
3.12/3.35	    pp(
3.12/3.35	      aa(dB, bool, it, 
3.12/3.35	        aa(nat, dB, 
3.12/3.35	          aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	            sk_U1), sk_I))),
3.12/3.35	    inference('simplify', [status(thm)], ['7'])).
3.12/3.35	tff('9', plain,
3.12/3.35	    ~ pp(
3.12/3.35	        aa(dB, bool, it, 
3.12/3.35	          aa(nat, dB, 
3.12/3.35	            aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.12/3.35	              sk_U1), sk_I))),
3.12/3.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.12/3.35	tff('10', plain, ~ $true, inference('sup-', [status(thm)], ['8', '9'])).
3.12/3.35	tff('11', plain, $false, inference('simplify', [status(thm)], ['10'])).
3.12/3.35	
3.12/3.35	% SZS output end Refutation
3.12/3.36	EOF
