0.00/0.01	% File    : /export/starexec/sandbox/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   : n029.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 07:11:08 CST 2018
3.63/3.85	% done 1443 iterations in 3.645s
3.63/3.85	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
3.63/3.85	% SZS output start Refutation
3.63/3.85	tff(conj_0, conjecture,
3.63/3.85	  (![E:fun(nat,type),T:type,U:dB,I:nat]:
3.63/3.85	     (pp(aa(dB,bool,it,
3.63/3.85	            aa(nat,dB,
3.63/3.85	               aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U),I))) | 
3.63/3.85	      (~
3.63/3.85	        pp(aa(type,bool,
3.63/3.85	              aa(dB,fun(type,bool),
3.63/3.85	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
3.63/3.85	              t))) | 
3.63/3.85	      (~pp(aa(dB,bool,it,U))) | 
3.63/3.85	      (~
3.63/3.85	        pp(aa(type,bool,
3.63/3.85	              aa(dB,fun(type,bool),
3.63/3.85	                 aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.63/3.85	                    aa(type,fun(nat,type),
3.63/3.85	                       aa(nat,fun(type,fun(nat,type)),
3.63/3.85	                          aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
3.63/3.85	                             shift(type),E),
3.63/3.85	                          I),
3.63/3.85	                       t)),
3.63/3.85	                 b),
3.63/3.85	              T)))))).
3.63/3.85	tff(zf_stmt_0, negated_conjecture,
3.63/3.85	  (~
3.63/3.85	    (![E:fun(nat,type),T:type,U:dB,I:nat]:
3.63/3.85	       (pp(aa(dB,bool,it,
3.63/3.85	              aa(nat,dB,
3.63/3.85	                 aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U),I))) | 
3.63/3.85	        (~
3.63/3.85	          pp(aa(type,bool,
3.63/3.85	                aa(dB,fun(type,bool),
3.63/3.85	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E),U),
3.63/3.85	                t))) | 
3.63/3.85	        (~pp(aa(dB,bool,it,U))) | 
3.63/3.85	        (~
3.63/3.85	          pp(aa(type,bool,
3.63/3.85	                aa(dB,fun(type,bool),
3.63/3.85	                   aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.63/3.85	                      aa(type,fun(nat,type),
3.63/3.85	                         aa(nat,fun(type,fun(nat,type)),
3.63/3.85	                            aa(fun(nat,type),
3.63/3.85	                               fun(nat,fun(type,fun(nat,type))),shift(type),E),
3.63/3.85	                            I),
3.63/3.85	                         t)),
3.63/3.85	                   b),
3.63/3.85	                T))))))).
3.63/3.85	tff('0', plain,
3.63/3.85	    pp(
3.63/3.85	      aa(type, bool, 
3.63/3.85	        aa(dB, fun(type, bool), 
3.63/3.85	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.63/3.85	            aa(type, fun(nat, type), 
3.63/3.85	              aa(nat, fun(type, fun(nat, type)), 
3.63/3.85	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
3.63/3.85	                  shift(type), sk_E), sk_I), t)), b), sk_T)),
3.63/3.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.63/3.85	tff('1', plain,
3.63/3.85	    pp(
3.63/3.85	      aa(type, bool, 
3.63/3.85	        aa(dB, fun(type, bool), 
3.63/3.85	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, sk_E), sk_U), 
3.63/3.85	        t)),
3.63/3.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.63/3.85	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
3.63/3.85	tff('2', plain, ![X332 : bool]: (X332 = fFalse | X332 = fTrue),
3.63/3.85	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
3.63/3.85	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
3.63/3.85	tff('3', plain, ~ pp(fFalse),
3.63/3.85	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
3.63/3.85	tff('4', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
3.63/3.85	    inference('sup-', [status(thm)], ['2', '3'])).
3.63/3.85	tff('5', plain,
3.63/3.85	    (~ $true
3.63/3.85	     | aa(type, bool, 
3.63/3.85	         aa(dB, fun(type, bool), 
3.63/3.85	           aa(fun(nat, type), fun(dB, fun(type, bool)), typing, sk_E), sk_U), 
3.63/3.85	         t)
3.63/3.85	        = fTrue),
3.63/3.85	    inference('sup-', [status(thm)], ['1', '4'])).
3.63/3.85	tff('6', plain,
3.63/3.85	    aa(type, bool, 
3.63/3.85	      aa(dB, fun(type, bool), 
3.63/3.85	        aa(fun(nat, type), fun(dB, fun(type, bool)), typing, sk_E), sk_U), t)
3.63/3.85	     = fTrue,
3.63/3.85	    inference('simplify', [status(thm)], ['5'])).
3.63/3.85	tff(fact_5_Cons_I1_J, axiom,
3.63/3.85	  ((?[X11:type]:
3.63/3.85	      pp(aa(type,bool,
3.63/3.85	            aa(dB,fun(type,bool),
3.63/3.85	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.63/3.85	                  aa(type,fun(nat,type),
3.63/3.85	                     aa(nat,fun(type,fun(nat,type)),
3.63/3.85	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
3.63/3.85	                           shift(type),e),
3.63/3.85	                        i),
3.63/3.85	                     t)),
3.63/3.85	               b),
3.63/3.85	            X11))) & 
3.63/3.85	   (![E2:fun(nat,type),T4:type,U3:dB,I2:nat]:
3.63/3.85	      (pp(aa(type,bool,
3.63/3.85	             aa(dB,fun(type,bool),
3.63/3.85	                aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
3.63/3.85	                   aa(type,fun(nat,type),
3.63/3.85	                      aa(nat,fun(type,fun(nat,type)),
3.63/3.85	                         aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
3.63/3.85	                            shift(type),E2),
3.63/3.85	                         I2),
3.63/3.85	                      t)),
3.63/3.85	                b),
3.63/3.85	             T4)) =>
3.63/3.85	       (pp(aa(dB,bool,it,U3)) =>
3.63/3.85	        (pp(aa(type,bool,
3.63/3.85	               aa(dB,fun(type,bool),
3.63/3.85	                  aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E2),U3),
3.63/3.85	               t)) =>
3.63/3.85	         pp(aa(dB,bool,it,
3.63/3.85	               aa(nat,dB,
3.63/3.85	                  aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U3),I2))))))))).
3.63/3.85	tff('7', plain,
3.63/3.85	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
3.63/3.85	      (~ pp(aa(dB, bool, it, X0))
3.63/3.85	       | ~ pp(
3.63/3.85	             aa(type, bool, 
3.63/3.85	               aa(dB, fun(type, bool), 
3.63/3.85	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, X1), 
3.63/3.85	                 X0), t))
3.63/3.85	       | ~ pp(
3.63/3.85	             aa(type, bool, 
3.63/3.85	               aa(dB, fun(type, bool), 
3.63/3.85	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.63/3.85	                   aa(type, fun(nat, type), 
3.63/3.85	                     aa(nat, fun(type, fun(nat, type)), 
3.63/3.85	                       aa(fun(nat, type), 
3.63/3.85	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
3.63/3.85	                         X1), X2), t)), b), X3))
3.63/3.85	       | pp(
3.63/3.85	           aa(dB, bool, it, 
3.63/3.85	             aa(nat, dB, 
3.63/3.85	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	                 X0), X2)))),
3.63/3.85	    inference('cnf', [status(esa)], [fact_5_Cons_I1_J])).
3.63/3.85	tff('8', plain,
3.63/3.85	    ![X0 : nat, X1 : type]:
3.63/3.85	      (~ pp(fTrue)
3.63/3.85	       | pp(
3.63/3.85	           aa(dB, bool, it, 
3.63/3.85	             aa(nat, dB, 
3.63/3.85	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	                 sk_U), X0)))
3.63/3.85	       | ~ pp(
3.63/3.85	             aa(type, bool, 
3.63/3.85	               aa(dB, fun(type, bool), 
3.63/3.85	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.63/3.85	                   aa(type, fun(nat, type), 
3.63/3.85	                     aa(nat, fun(type, fun(nat, type)), 
3.63/3.85	                       aa(fun(nat, type), 
3.63/3.85	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
3.63/3.85	                         sk_E), X0), t)), b), X1))
3.63/3.85	       | ~ pp(aa(dB, bool, it, sk_U))),
3.63/3.85	    inference('sup-', [status(thm)], ['6', '7'])).
3.63/3.85	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
3.63/3.85	tff('9', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
3.63/3.85	tff('10', plain, pp(aa(dB, bool, it, sk_U)),
3.63/3.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.63/3.85	tff('11', plain, (~ $true | aa(dB, bool, it, sk_U) = fTrue),
3.63/3.85	    inference('sup-', [status(thm)], ['10', '4'])).
3.63/3.85	tff('12', plain, aa(dB, bool, it, sk_U) = fTrue,
3.63/3.85	    inference('simplify', [status(thm)], ['11'])).
3.63/3.85	tff('13', plain,
3.63/3.85	    ![X0 : nat, X1 : type]:
3.63/3.85	      (~ $true
3.63/3.85	       | pp(
3.63/3.85	           aa(dB, bool, it, 
3.63/3.85	             aa(nat, dB, 
3.63/3.85	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	                 sk_U), X0)))
3.63/3.85	       | ~ pp(
3.63/3.85	             aa(type, bool, 
3.63/3.85	               aa(dB, fun(type, bool), 
3.63/3.85	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.63/3.85	                   aa(type, fun(nat, type), 
3.63/3.85	                     aa(nat, fun(type, fun(nat, type)), 
3.63/3.85	                       aa(fun(nat, type), 
3.63/3.85	                         fun(nat, fun(type, fun(nat, type))), shift(type), 
3.63/3.85	                         sk_E), X0), t)), b), X1))
3.63/3.85	       | ~ $true),
3.63/3.85	    inference('demod', [status(thm)], ['8', '9', '12', '9'])).
3.63/3.85	tff('14', plain,
3.63/3.85	    ![X0 : nat, X1 : type]:
3.63/3.85	      (~ pp(
3.63/3.85	           aa(type, bool, 
3.63/3.85	             aa(dB, fun(type, bool), 
3.63/3.85	               aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
3.63/3.85	                 aa(type, fun(nat, type), 
3.63/3.85	                   aa(nat, fun(type, fun(nat, type)), 
3.63/3.85	                     aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
3.63/3.85	                       shift(type), sk_E), X0), t)), b), X1))
3.63/3.85	       | pp(
3.63/3.85	           aa(dB, bool, it, 
3.63/3.85	             aa(nat, dB, 
3.63/3.85	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	                 sk_U), X0)))),
3.63/3.85	    inference('simplify', [status(thm)], ['13'])).
3.63/3.85	tff('15', plain,
3.63/3.85	    (~ $true
3.63/3.85	     | pp(
3.63/3.85	         aa(dB, bool, it, 
3.63/3.85	           aa(nat, dB, 
3.63/3.85	             aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	               sk_U), sk_I)))),
3.63/3.85	    inference('sup-', [status(thm)], ['0', '14'])).
3.63/3.85	tff('16', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
3.63/3.85	    inference('sup+', [status(thm)], ['2', '9'])).
3.63/3.85	tff('17', plain,
3.63/3.85	    ~ pp(
3.63/3.85	        aa(dB, bool, it, 
3.63/3.85	          aa(nat, dB, 
3.63/3.85	            aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	              sk_U), sk_I))),
3.63/3.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.63/3.85	tff('18', plain,
3.63/3.85	    (~ $true
3.63/3.85	     | aa(dB, bool, it, 
3.63/3.85	         aa(nat, dB, 
3.63/3.85	           aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), 
3.63/3.85	             sk_U), sk_I))
3.63/3.85	        = fFalse),
3.63/3.85	    inference('sup-', [status(thm)], ['16', '17'])).
3.63/3.85	tff('19', plain,
3.63/3.85	    aa(dB, bool, it, 
3.63/3.85	      aa(nat, dB, 
3.63/3.85	        aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), sk_U), 
3.63/3.85	        sk_I))
3.63/3.85	     = fFalse,
3.63/3.85	    inference('simplify', [status(thm)], ['18'])).
3.63/3.85	tff('20', plain, (~ $true | pp(fFalse)),
3.63/3.85	    inference('demod', [status(thm)], ['15', '19'])).
3.63/3.85	tff('21', plain, pp(fFalse), inference('simplify', [status(thm)], ['20'])).
3.63/3.85	tff('22', plain, ~ $true, inference('sup-', [status(thm)], ['21', '3'])).
3.63/3.85	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
3.63/3.85	
3.63/3.85	% SZS output end Refutation
3.63/3.85	EOF
