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_ext
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n048.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 07:16:53 CST 2018
4.16/4.37	% done 1251 iterations in 4.180s
4.16/4.37	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
4.16/4.37	% SZS output start Refutation
4.16/4.38	tff(fact_6__096e_060i_058T_062_A_092_060turnstile_062_Aa_A_058_AU_096, axiom,
4.16/4.38	  (pp(aa(type,bool,
4.16/4.38	         aa(dB,fun(type,bool),
4.16/4.38	            aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
4.16/4.38	               aa(type,fun(nat,type),
4.16/4.38	                  aa(nat,fun(type,fun(nat,type)),
4.16/4.38	                     aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
4.16/4.38	                        shift(type),e),
4.16/4.38	                     i),
4.16/4.38	                  t)),
4.16/4.38	            a),
4.16/4.38	         ua1)))).
4.16/4.38	tff('0', plain,
4.16/4.38	    pp(
4.16/4.38	      aa(type, bool, 
4.16/4.38	        aa(dB, fun(type, bool), 
4.16/4.38	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.16/4.38	            aa(type, fun(nat, type), 
4.16/4.38	              aa(nat, fun(type, fun(nat, type)), 
4.16/4.38	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
4.16/4.38	                  shift(type), e), i), t)), a), ua1)),
4.16/4.38	    inference('cnf', [status(esa)],
4.16/4.38	              [fact_6__096e_060i_058T_062_A_092_060turnstile_062_Aa_A_058_AU_096])).
4.16/4.38	tff(fact_3_uT, axiom,
4.16/4.38	  (pp(aa(type,bool,
4.16/4.38	         aa(dB,fun(type,bool),
4.16/4.38	            aa(fun(nat,type),fun(dB,fun(type,bool)),typing,e),u),
4.16/4.38	         t)))).
4.16/4.38	tff('1', plain,
4.16/4.38	    pp(
4.16/4.38	      aa(type, bool, 
4.16/4.38	        aa(dB, fun(type, bool), 
4.16/4.38	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, e), u), t)),
4.16/4.38	    inference('cnf', [status(esa)], [fact_3_uT])).
4.16/4.38	tff(fact_5_I, axiom,
4.16/4.38	  (![E1:fun(nat,type),T4:type,U3:dB,I1:nat]:
4.16/4.38	     (pp(aa(type,bool,
4.16/4.38	            aa(dB,fun(type,bool),
4.16/4.38	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
4.16/4.38	                  aa(type,fun(nat,type),
4.16/4.38	                     aa(nat,fun(type,fun(nat,type)),
4.16/4.38	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
4.16/4.38	                           shift(type),E1),
4.16/4.38	                        I1),
4.16/4.38	                     t)),
4.16/4.38	               a),
4.16/4.38	            T4)) =>
4.16/4.38	      (pp(aa(dB,bool,it,U3)) =>
4.16/4.38	       (pp(aa(type,bool,
4.16/4.38	              aa(dB,fun(type,bool),
4.16/4.38	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E1),U3),
4.16/4.38	              t)) =>
4.16/4.38	        pp(aa(dB,bool,it,
4.16/4.38	              aa(nat,dB,
4.16/4.38	                 aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),U3),I1)))))))).
4.16/4.38	tff('2', plain,
4.16/4.38	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
4.16/4.38	      (~ pp(aa(dB, bool, it, X0))
4.16/4.38	       | ~ pp(
4.16/4.38	             aa(type, bool, 
4.16/4.38	               aa(dB, fun(type, bool), 
4.16/4.38	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, X1), 
4.16/4.38	                 X0), t))
4.16/4.38	       | ~ pp(
4.16/4.38	             aa(type, bool, 
4.16/4.38	               aa(dB, fun(type, bool), 
4.16/4.38	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.16/4.38	                   aa(type, fun(nat, type), 
4.16/4.38	                     aa(nat, fun(type, fun(nat, type)), 
4.16/4.38	                       aa(fun(nat, type), 
4.16/4.38	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
4.16/4.38	                         X1), X2), t)), a), X3))
4.16/4.38	       | pp(
4.16/4.38	           aa(dB, bool, it, 
4.16/4.38	             aa(nat, dB, 
4.16/4.38	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.16/4.38	                 X0), X2)))),
4.16/4.38	    inference('cnf', [status(esa)], [fact_5_I])).
4.16/4.38	tff('3', plain,
4.16/4.38	    ![X0 : nat, X1 : type]:
4.16/4.38	      (~ $true
4.16/4.38	       | pp(
4.16/4.38	           aa(dB, bool, it, 
4.16/4.38	             aa(nat, dB, 
4.16/4.38	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.16/4.38	                 u), X0)))
4.16/4.38	       | ~ pp(
4.16/4.38	             aa(type, bool, 
4.16/4.38	               aa(dB, fun(type, bool), 
4.16/4.38	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.16/4.38	                   aa(type, fun(nat, type), 
4.16/4.38	                     aa(nat, fun(type, fun(nat, type)), 
4.16/4.38	                       aa(fun(nat, type), 
4.16/4.38	                         fun(nat, fun(type, fun(nat, type))), shift(type), e), 
4.16/4.38	                       X0), t)), a), X1))
4.16/4.38	       | ~ pp(aa(dB, bool, it, u))),
4.16/4.38	    inference('sup-', [status(thm)], ['1', '2'])).
4.16/4.38	tff(fact_2_uIT, axiom, (pp(aa(dB,bool,it,u)))).
4.16/4.38	tff('4', plain, pp(aa(dB, bool, it, u)),
4.16/4.38	    inference('cnf', [status(esa)], [fact_2_uIT])).
4.16/4.38	tff('5', plain,
4.16/4.38	    ![X0 : nat, X1 : type]:
4.16/4.38	      (~ $true
4.16/4.38	       | pp(
4.16/4.38	           aa(dB, bool, it, 
4.16/4.38	             aa(nat, dB, 
4.16/4.38	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.16/4.38	                 u), X0)))
4.16/4.38	       | ~ pp(
4.16/4.38	             aa(type, bool, 
4.16/4.38	               aa(dB, fun(type, bool), 
4.16/4.38	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.16/4.38	                   aa(type, fun(nat, type), 
4.16/4.38	                     aa(nat, fun(type, fun(nat, type)), 
4.16/4.38	                       aa(fun(nat, type), 
4.16/4.38	                         fun(nat, fun(type, fun(nat, type))), shift(type), e), 
4.16/4.38	                       X0), t)), a), X1))
4.16/4.38	       | ~ $true),
4.16/4.38	    inference('demod', [status(thm)], ['3', '4'])).
4.16/4.38	tff('6', plain,
4.16/4.38	    ![X0 : nat, X1 : type]:
4.16/4.38	      (~ pp(
4.16/4.38	           aa(type, bool, 
4.16/4.38	             aa(dB, fun(type, bool), 
4.16/4.38	               aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
4.16/4.38	                 aa(type, fun(nat, type), 
4.16/4.38	                   aa(nat, fun(type, fun(nat, type)), 
4.16/4.38	                     aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
4.16/4.38	                       shift(type), e), X0), t)), a), X1))
4.16/4.38	       | pp(
4.16/4.38	           aa(dB, bool, it, 
4.16/4.38	             aa(nat, dB, 
4.16/4.38	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
4.16/4.38	                 u), X0)))),
4.16/4.38	    inference('simplify', [status(thm)], ['5'])).
4.16/4.38	tff('7', plain,
4.16/4.38	    (~ $true
4.16/4.38	     | pp(
4.16/4.38	         aa(dB, bool, it, 
4.16/4.38	           aa(nat, dB, 
4.16/4.38	             aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), u), 
4.16/4.38	             i)))),
4.16/4.38	    inference('sup-', [status(thm)], ['0', '6'])).
4.16/4.38	tff('8', plain,
4.16/4.38	    pp(
4.16/4.38	      aa(dB, bool, it, 
4.16/4.38	        aa(nat, dB, 
4.16/4.38	          aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), u), 
4.16/4.38	          i))),
4.16/4.38	    inference('simplify', [status(thm)], ['7'])).
4.16/4.38	tff(conj_0, conjecture,
4.16/4.38	  (pp(aa(dB,bool,it,
4.16/4.38	         aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i))))).
4.16/4.38	tff(zf_stmt_0, negated_conjecture,
4.16/4.38	  (~
4.16/4.38	    pp(aa(dB,bool,it,
4.16/4.38	          aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i))))).
4.16/4.38	tff('9', plain,
4.16/4.38	    ~ pp(
4.16/4.38	        aa(dB, bool, it, 
4.16/4.38	          aa(nat, dB, 
4.16/4.38	            aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), u), 
4.16/4.38	            i))),
4.16/4.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.16/4.38	tff('10', plain, ~ $true, inference('sup-', [status(thm)], ['8', '9'])).
4.16/4.38	tff('11', plain, $false, inference('simplify', [status(thm)], ['10'])).
4.16/4.38	
4.16/4.38	% SZS output end Refutation
4.16/4.38	EOF
