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    : supatvars_int
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	  --sup-at-vars \
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
0.00/0.20	% Computer   : n032.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 07:05:54 CST 2018
2.32/2.58	% done 1348 iterations in 2.370s
2.32/2.58	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.32/2.58	% SZS output start Refutation
2.32/2.58	tff(conj_0, conjecture,
2.32/2.58	  (![E:fun(nat,type),T:type,U:dB,I:nat]:
2.32/2.58	     (pp(aa(dB,bool,it,
2.32/2.58	            aa(nat,dB,
2.32/2.58	               aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U),I))) | 
2.32/2.58	      (~
2.32/2.58	        pp(aa(type,bool,
2.32/2.58	              aa(dB,fun(type,bool),
2.32/2.58	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
2.32/2.58	              t))) | 
2.32/2.58	      (~pp(aa(dB,bool,it,U))) | 
2.32/2.58	      (~
2.32/2.58	        pp(aa(type,bool,
2.32/2.58	              aa(dB,fun(type,bool),
2.32/2.58	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
2.32/2.58	                    aa(type,fun(nat,type),
2.32/2.58	                       aa(nat,fun(type,fun(nat,type)),
2.32/2.58	                          aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
2.32/2.58	                             shift(type),E),
2.32/2.58	                          I),
2.32/2.58	                       t)),
2.32/2.58	                 b),
2.32/2.58	              T)))))).
2.32/2.58	tff(zf_stmt_0, negated_conjecture,
2.32/2.58	  (~
2.32/2.58	    (![E:fun(nat,type),T:type,U:dB,I:nat]:
2.32/2.58	       (pp(aa(dB,bool,it,
2.32/2.58	              aa(nat,dB,
2.32/2.58	                 aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U),I))) | 
2.32/2.58	        (~
2.32/2.58	          pp(aa(type,bool,
2.32/2.58	                aa(dB,fun(type,bool),
2.32/2.58	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
2.32/2.58	                t))) | 
2.32/2.58	        (~pp(aa(dB,bool,it,U))) | 
2.32/2.58	        (~
2.32/2.58	          pp(aa(type,bool,
2.32/2.58	                aa(dB,fun(type,bool),
2.32/2.58	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
2.32/2.58	                      aa(type,fun(nat,type),
2.32/2.58	                         aa(nat,fun(type,fun(nat,type)),
2.32/2.58	                            aa(fun(nat,type),
2.32/2.58	                               fun(nat,fun(type,fun(nat,type))),shift(type),E),
2.32/2.58	                            I),
2.32/2.58	                         t)),
2.32/2.58	                   b),
2.32/2.58	                T))))))).
2.32/2.58	tff('0', plain,
2.32/2.58	    pp(
2.32/2.58	      aa(type, bool, 
2.32/2.58	        aa(dB, fun(type, bool), 
2.32/2.58	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.32/2.58	            aa(type, fun(nat, type), 
2.32/2.58	              aa(nat, fun(type, fun(nat, type)), 
2.32/2.58	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
2.32/2.58	                  shift(type), sk_E), sk_I), t)), b), sk_T)),
2.32/2.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.32/2.58	tff('1', plain,
2.32/2.58	    pp(
2.32/2.58	      aa(type, bool, 
2.32/2.58	        aa(dB, fun(type, bool), 
2.32/2.58	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, sk_E), sk_U), 
2.32/2.58	        t)),
2.32/2.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.32/2.58	tff(fact_5_Cons_I1_J, axiom,
2.32/2.58	  ((?[X11:type]:
2.32/2.58	      pp(aa(type,bool,
2.32/2.58	            aa(dB,fun(type,bool),
2.32/2.58	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
2.32/2.58	                  aa(type,fun(nat,type),
2.32/2.58	                     aa(nat,fun(type,fun(nat,type)),
2.32/2.58	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
2.32/2.58	                           shift(type),e),
2.32/2.58	                        i),
2.32/2.58	                     t)),
2.32/2.58	               b),
2.32/2.58	            X11))) & 
2.32/2.58	   (![E2:fun(nat,type),T4:type,U3:dB,I2:nat]:
2.32/2.58	      (pp(aa(type,bool,
2.32/2.58	             aa(dB,fun(type,bool),
2.32/2.58	                aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
2.32/2.58	                   aa(type,fun(nat,type),
2.32/2.58	                      aa(nat,fun(type,fun(nat,type)),
2.32/2.58	                         aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
2.32/2.58	                            shift(type),E2),
2.32/2.58	                         I2),
2.32/2.58	                      t)),
2.32/2.58	                b),
2.32/2.58	             T4)) =>
2.32/2.58	       (pp(aa(dB,bool,it,U3)) =>
2.32/2.58	        (pp(aa(type,bool,
2.32/2.58	               aa(dB,fun(type,bool),
2.32/2.58	                  aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E2),U3),
2.32/2.58	               t)) =>
2.32/2.58	         pp(aa(dB,bool,it,
2.32/2.58	               aa(nat,dB,
2.32/2.58	                  aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U3),I2))))))))).
2.32/2.58	tff('2', plain,
2.32/2.58	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
2.32/2.58	      (~ pp(aa(dB, bool, it, X0))
2.32/2.58	       | ~ pp(
2.32/2.58	             aa(type, bool, 
2.32/2.58	               aa(dB, fun(type, bool), 
2.32/2.58	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, X1), 
2.32/2.58	                 X0), t))
2.32/2.58	       | ~ pp(
2.32/2.58	             aa(type, bool, 
2.32/2.58	               aa(dB, fun(type, bool), 
2.32/2.58	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.32/2.58	                   aa(type, fun(nat, type), 
2.32/2.58	                     aa(nat, fun(type, fun(nat, type)), 
2.32/2.58	                       aa(fun(nat, type), 
2.32/2.58	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
2.32/2.58	                         X1), X2), t)), b), X3))
2.32/2.58	       | pp(
2.32/2.58	           aa(dB, bool, it, 
2.32/2.58	             aa(nat, dB, 
2.32/2.58	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	                 X0), X2)))),
2.32/2.58	    inference('cnf', [status(esa)], [fact_5_Cons_I1_J])).
2.32/2.58	tff('3', plain,
2.32/2.58	    ![X0 : nat, X1 : type]:
2.32/2.58	      (~ $true
2.32/2.58	       | pp(
2.32/2.58	           aa(dB, bool, it, 
2.32/2.58	             aa(nat, dB, 
2.32/2.58	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	                 sk_U), X0)))
2.32/2.58	       | ~ pp(
2.32/2.58	             aa(type, bool, 
2.32/2.58	               aa(dB, fun(type, bool), 
2.32/2.58	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.32/2.58	                   aa(type, fun(nat, type), 
2.32/2.58	                     aa(nat, fun(type, fun(nat, type)), 
2.32/2.58	                       aa(fun(nat, type), 
2.32/2.58	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
2.32/2.58	                         sk_E), X0), t)), b), X1))
2.32/2.58	       | ~ pp(aa(dB, bool, it, sk_U))),
2.32/2.58	    inference('sup-', [status(thm)], ['1', '2'])).
2.32/2.58	tff('4', plain, pp(aa(dB, bool, it, sk_U)),
2.32/2.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.32/2.58	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
2.32/2.58	tff('5', plain, ![X332 : bool]: (X332 = fFalse | X332 = fTrue),
2.32/2.58	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
2.32/2.58	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
2.32/2.58	tff('6', plain, ~ pp(fFalse),
2.32/2.58	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
2.32/2.58	tff('7', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
2.32/2.58	    inference('sup-', [status(thm)], ['5', '6'])).
2.32/2.58	tff('8', plain, (~ $true | aa(dB, bool, it, sk_U) = fTrue),
2.32/2.58	    inference('sup-', [status(thm)], ['4', '7'])).
2.32/2.58	tff('9', plain, aa(dB, bool, it, sk_U) = fTrue,
2.32/2.58	    inference('simplify', [status(thm)], ['8'])).
2.32/2.58	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
2.32/2.58	tff('10', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
2.32/2.58	tff('11', plain,
2.32/2.58	    ![X0 : nat, X1 : type]:
2.32/2.58	      (~ $true
2.32/2.58	       | pp(
2.32/2.58	           aa(dB, bool, it, 
2.32/2.58	             aa(nat, dB, 
2.32/2.58	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	                 sk_U), X0)))
2.32/2.58	       | ~ pp(
2.32/2.58	             aa(type, bool, 
2.32/2.58	               aa(dB, fun(type, bool), 
2.32/2.58	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.32/2.58	                   aa(type, fun(nat, type), 
2.32/2.58	                     aa(nat, fun(type, fun(nat, type)), 
2.32/2.58	                       aa(fun(nat, type), 
2.32/2.58	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
2.32/2.58	                         sk_E), X0), t)), b), X1))
2.32/2.58	       | ~ $true),
2.32/2.58	    inference('demod', [status(thm)], ['3', '9', '10'])).
2.32/2.58	tff('12', plain,
2.32/2.58	    ![X0 : nat, X1 : type]:
2.32/2.58	      (~ pp(
2.32/2.58	           aa(type, bool, 
2.32/2.58	             aa(dB, fun(type, bool), 
2.32/2.58	               aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
2.32/2.58	                 aa(type, fun(nat, type), 
2.32/2.58	                   aa(nat, fun(type, fun(nat, type)), 
2.32/2.58	                     aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
2.32/2.58	                       shift(type), sk_E), X0), t)), b), X1))
2.32/2.58	       | pp(
2.32/2.58	           aa(dB, bool, it, 
2.32/2.58	             aa(nat, dB, 
2.32/2.58	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	                 sk_U), X0)))),
2.32/2.58	    inference('simplify', [status(thm)], ['11'])).
2.32/2.58	tff('13', plain,
2.32/2.58	    (~ $true
2.32/2.58	     | pp(
2.32/2.58	         aa(dB, bool, it, 
2.32/2.58	           aa(nat, dB, 
2.32/2.58	             aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	               sk_U), sk_I)))),
2.32/2.58	    inference('sup-', [status(thm)], ['0', '12'])).
2.32/2.58	tff('14', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
2.32/2.58	    inference('sup+', [status(thm)], ['5', '10'])).
2.32/2.58	tff('15', plain,
2.32/2.58	    ~ pp(
2.32/2.58	        aa(dB, bool, it, 
2.32/2.58	          aa(nat, dB, 
2.32/2.58	            aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	              sk_U), sk_I))),
2.32/2.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.32/2.58	tff('16', plain,
2.32/2.58	    (~ $true
2.32/2.58	     | aa(dB, bool, it, 
2.32/2.58	         aa(nat, dB, 
2.32/2.58	           aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
2.32/2.58	             sk_U), sk_I))
2.32/2.58	        = fFalse),
2.32/2.58	    inference('sup-', [status(thm)], ['14', '15'])).
2.32/2.58	tff('17', plain,
2.32/2.58	    aa(dB, bool, it, 
2.32/2.58	      aa(nat, dB, 
2.32/2.58	        aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), sk_U), 
2.32/2.58	        sk_I))
2.32/2.58	     = fFalse,
2.32/2.58	    inference('simplify', [status(thm)], ['16'])).
2.32/2.58	tff('18', plain, (~ $true | pp(fFalse)),
2.32/2.58	    inference('demod', [status(thm)], ['13', '17'])).
2.32/2.58	tff('19', plain, pp(fFalse), inference('simplify', [status(thm)], ['18'])).
2.32/2.58	tff('20', plain, ~ $true, inference('sup-', [status(thm)], ['19', '6'])).
2.32/2.58	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
2.32/2.58	
2.32/2.58	% SZS output end Refutation
2.32/2.59	EOF
