0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_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	  --sup-at-vars \
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   : n138.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 07:06:23 CST 2018
2.12/2.34	% done 1283 iterations in 2.140s
2.12/2.34	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
2.12/2.34	% SZS output start Refutation
2.12/2.34	tff(fact_6__096e_060i_058T_062_A_092_060turnstile_062_Ab_A_058_AU_096, axiom,
2.12/2.34	  (pp(aa(type,bool,
2.12/2.34	         aa(dB,fun(type,bool),
2.12/2.34	            aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
2.12/2.34	               aa(type,fun(nat,type),
2.12/2.34	                  aa(nat,fun(type,fun(nat,type)),
2.12/2.34	                     aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
2.12/2.34	                        shift(type),e),
2.12/2.34	                     i),
2.12/2.34	                  t)),
2.12/2.34	            b),
2.12/2.34	         ua1)))).
2.12/2.34	tff('0', plain,
2.12/2.34	    pp(
2.12/2.34	      aa(type, bool, 
2.12/2.34	        aa(dB, fun(type, bool), 
2.12/2.34	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.12/2.34	            aa(type, fun(nat, type), 
2.12/2.34	              aa(nat, fun(type, fun(nat, type)), 
2.12/2.34	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
2.12/2.34	                  shift(type), e), i), t)), b), ua1)),
2.12/2.34	    inference('cnf', [status(esa)],
2.12/2.34	              [fact_6__096e_060i_058T_062_A_092_060turnstile_062_Ab_A_058_AU_096])).
2.12/2.34	tff(fact_3_uT, axiom,
2.12/2.34	  (pp(aa(type,bool,
2.12/2.34	         aa(dB,fun(type,bool),
2.12/2.34	            aa(fun(nat,type),fun(dB,fun(type,bool)),typing,e),u),
2.12/2.34	         t)))).
2.12/2.34	tff('1', plain,
2.12/2.34	    pp(
2.12/2.34	      aa(type, bool, 
2.12/2.34	        aa(dB, fun(type, bool), 
2.12/2.34	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, e), u), t)),
2.12/2.34	    inference('cnf', [status(esa)], [fact_3_uT])).
2.12/2.34	tff(fact_5_I, axiom,
2.12/2.34	  (![E1:fun(nat,type),T3:type,U2:dB,I1:nat]:
2.12/2.34	     (pp(aa(type,bool,
2.12/2.34	            aa(dB,fun(type,bool),
2.12/2.34	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
2.12/2.34	                  aa(type,fun(nat,type),
2.12/2.34	                     aa(nat,fun(type,fun(nat,type)),
2.12/2.34	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
2.12/2.34	                           shift(type),E1),
2.12/2.34	                        I1),
2.12/2.34	                     t)),
2.12/2.34	               b),
2.12/2.34	            T3)) =>
2.12/2.34	      (pp(aa(dB,bool,it,U2)) =>
2.12/2.34	       (pp(aa(type,bool,
2.12/2.34	              aa(dB,fun(type,bool),
2.12/2.34	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E1),U2),
2.12/2.34	              t)) =>
2.12/2.34	        pp(aa(dB,bool,it,
2.12/2.34	              aa(nat,dB,
2.12/2.34	                 aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U2),I1)))))))).
2.12/2.34	tff('2', plain,
2.12/2.34	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
2.12/2.34	      (~ pp(aa(dB, bool, it, X0))
2.12/2.34	       | ~ pp(
2.12/2.34	             aa(type, bool, 
2.12/2.34	               aa(dB, fun(type, bool), 
2.12/2.34	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, X1), 
2.12/2.34	                 X0), t))
2.12/2.34	       | ~ pp(
2.12/2.34	             aa(type, bool, 
2.12/2.34	               aa(dB, fun(type, bool), 
2.12/2.34	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.12/2.34	                   aa(type, fun(nat, type), 
2.12/2.34	                     aa(nat, fun(type, fun(nat, type)), 
2.12/2.34	                       aa(fun(nat, type), 
2.12/2.34	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
2.12/2.34	                         X1), X2), t)), b), X3))
2.12/2.34	       | pp(
2.12/2.34	           aa(dB, bool, it, 
2.12/2.34	             aa(nat, dB, 
2.12/2.34	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.12/2.34	                 X0), X2)))),
2.12/2.34	    inference('cnf', [status(esa)], [fact_5_I])).
2.12/2.34	tff('3', plain,
2.12/2.34	    ![X0 : nat, X1 : type]:
2.12/2.34	      (~ $true
2.12/2.34	       | pp(
2.12/2.34	           aa(dB, bool, it, 
2.12/2.34	             aa(nat, dB, 
2.12/2.34	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.12/2.34	                 u), X0)))
2.12/2.34	       | ~ pp(
2.12/2.34	             aa(type, bool, 
2.12/2.34	               aa(dB, fun(type, bool), 
2.12/2.34	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.12/2.34	                   aa(type, fun(nat, type), 
2.12/2.34	                     aa(nat, fun(type, fun(nat, type)), 
2.12/2.34	                       aa(fun(nat, type), 
2.12/2.34	                         fun(nat, fun(type, fun(nat, type))), shift(type), e), 
2.12/2.34	                       X0), t)), b), X1))
2.12/2.34	       | ~ pp(aa(dB, bool, it, u))),
2.12/2.34	    inference('sup-', [status(thm)], ['1', '2'])).
2.12/2.34	tff(fact_2_uIT, axiom, (pp(aa(dB,bool,it,u)))).
2.12/2.34	tff('4', plain, pp(aa(dB, bool, it, u)),
2.12/2.34	    inference('cnf', [status(esa)], [fact_2_uIT])).
2.12/2.34	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
2.12/2.34	tff('5', plain, ![X334 : bool]: (X334 = fFalse | X334 = fTrue),
2.12/2.34	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
2.12/2.34	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
2.12/2.34	tff('6', plain, ~ pp(fFalse),
2.12/2.34	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
2.12/2.34	tff('7', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
2.12/2.34	    inference('sup-', [status(thm)], ['5', '6'])).
2.12/2.34	tff('8', plain, (~ $true | aa(dB, bool, it, u) = fTrue),
2.12/2.34	    inference('sup-', [status(thm)], ['4', '7'])).
2.12/2.34	tff('9', plain, aa(dB, bool, it, u) = fTrue,
2.12/2.34	    inference('simplify', [status(thm)], ['8'])).
2.12/2.34	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
2.12/2.34	tff('10', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
2.12/2.34	tff('11', plain,
2.12/2.34	    ![X0 : nat, X1 : type]:
2.12/2.34	      (~ $true
2.12/2.34	       | pp(
2.12/2.34	           aa(dB, bool, it, 
2.12/2.34	             aa(nat, dB, 
2.12/2.34	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.12/2.34	                 u), X0)))
2.12/2.34	       | ~ pp(
2.12/2.34	             aa(type, bool, 
2.12/2.34	               aa(dB, fun(type, bool), 
2.12/2.34	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.12/2.34	                   aa(type, fun(nat, type), 
2.12/2.34	                     aa(nat, fun(type, fun(nat, type)), 
2.12/2.34	                       aa(fun(nat, type), 
2.12/2.34	                         fun(nat, fun(type, fun(nat, type))), shift(type), e), 
2.12/2.34	                       X0), t)), b), X1))
2.12/2.34	       | ~ $true),
2.12/2.34	    inference('demod', [status(thm)], ['3', '9', '10'])).
2.12/2.34	tff('12', plain,
2.12/2.34	    ![X0 : nat, X1 : type]:
2.12/2.34	      (~ pp(
2.12/2.34	           aa(type, bool, 
2.12/2.34	             aa(dB, fun(type, bool), 
2.12/2.34	               aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.12/2.34	                 aa(type, fun(nat, type), 
2.12/2.34	                   aa(nat, fun(type, fun(nat, type)), 
2.12/2.34	                     aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
2.12/2.34	                       shift(type), e), X0), t)), b), X1))
2.12/2.34	       | pp(
2.12/2.34	           aa(dB, bool, it, 
2.12/2.34	             aa(nat, dB, 
2.12/2.34	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.12/2.34	                 u), X0)))),
2.12/2.34	    inference('simplify', [status(thm)], ['11'])).
2.12/2.34	tff('13', plain,
2.12/2.34	    (~ $true
2.12/2.34	     | pp(
2.12/2.34	         aa(dB, bool, it, 
2.12/2.34	           aa(nat, dB, 
2.12/2.34	             aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), u), 
2.12/2.34	             i)))),
2.12/2.34	    inference('sup-', [status(thm)], ['0', '12'])).
2.12/2.34	tff('14', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
2.12/2.34	    inference('sup+', [status(thm)], ['5', '10'])).
2.12/2.34	tff(conj_0, conjecture,
2.12/2.34	  (pp(aa(dB,bool,it,
2.12/2.34	         aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i))))).
2.12/2.34	tff(zf_stmt_0, negated_conjecture,
2.12/2.34	  (~
2.12/2.34	    pp(aa(dB,bool,it,
2.12/2.34	          aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i))))).
2.12/2.34	tff('15', plain,
2.12/2.34	    ~ pp(
2.12/2.34	        aa(dB, bool, it, 
2.12/2.34	          aa(nat, dB, 
2.12/2.34	            aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), u), 
2.12/2.34	            i))),
2.12/2.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.12/2.34	tff('16', plain,
2.12/2.34	    (~ $true
2.12/2.34	     | aa(dB, bool, it, 
2.12/2.34	         aa(nat, dB, 
2.12/2.34	           aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), u), 
2.12/2.34	           i))
2.12/2.34	        = fFalse),
2.12/2.34	    inference('sup-', [status(thm)], ['14', '15'])).
2.12/2.34	tff('17', plain,
2.12/2.34	    aa(dB, bool, it, 
2.12/2.34	      aa(nat, dB, 
2.12/2.34	        aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), u), i))
2.12/2.34	     = fFalse,
2.12/2.34	    inference('simplify', [status(thm)], ['16'])).
2.12/2.34	tff('18', plain, (~ $true | pp(fFalse)),
2.12/2.34	    inference('demod', [status(thm)], ['13', '17'])).
2.12/2.34	tff('19', plain, pp(fFalse), inference('simplify', [status(thm)], ['18'])).
2.12/2.34	tff('20', plain, ~ $true, inference('sup-', [status(thm)], ['19', '6'])).
2.12/2.34	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
2.12/2.34	
2.12/2.34	% SZS output end Refutation
2.12/2.34	EOF
