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    : purification_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	  --ho-purify int \
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   : n183.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 09:34:38 CST 2018
2.18/2.39	% done 3324 iterations in 2.182s
2.18/2.39	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.18/2.39	% SZS output start Refutation
2.18/2.39	tff(fact_324_insert__subset, axiom,
2.18/2.39	  (![X_3:x_a,A_1:fun_a_bool,B_6:fun_a_bool]:
2.18/2.39	     (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
2.18/2.39	                                                        insert_a(X_3,A_1)),
2.18/2.39	                                 B_6)) <=>
2.18/2.39	      (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
2.18/2.39	                                                         A_1),
2.18/2.39	                                  B_6)) & 
2.18/2.39	       hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)))))).
2.18/2.39	tff('0', plain,
2.18/2.39	    ![X788 : fun_a_bool, X790 : x_a, X791 : fun_a_bool]:
2.18/2.39	      (hBOOL(
2.18/2.39	         hAPP_fun_a_bool_bool(
2.18/2.39	           hAPP_f1631501043l_bool(ord_le1311769555a_bool, 
2.18/2.39	             insert_a(X790, X788)), X791))
2.18/2.39	       | ~ hBOOL(
2.18/2.39	             hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, X790), X791))
2.18/2.39	       | ~ hBOOL(
2.18/2.39	             hAPP_fun_a_bool_bool(
2.18/2.39	               hAPP_f1631501043l_bool(ord_le1311769555a_bool, X788), X791))),
2.18/2.39	    inference('cnf', [status(esa)], [fact_324_insert__subset])).
2.18/2.39	tff(conj_6, conjecture,
2.18/2.39	  (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
2.18/2.39	                                                     insert_a(hAPP_pname_a(
2.18/2.39	                                                              mgt_call,pn),g)),
2.18/2.39	                              image_pname_a(mgt_call,u))))).
2.18/2.39	tff(zf_stmt_0, negated_conjecture,
2.18/2.39	  (~
2.18/2.39	    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
2.18/2.39	                                                      insert_a(hAPP_pname_a(
2.18/2.39	                                                               mgt_call,pn),g)),
2.18/2.39	                               image_pname_a(mgt_call,u))))).
2.18/2.39	tff('1', plain,
2.18/2.39	    ~ hBOOL(
2.18/2.39	        hAPP_fun_a_bool_bool(
2.18/2.39	          hAPP_f1631501043l_bool(ord_le1311769555a_bool, 
2.18/2.39	            insert_a(hAPP_pname_a(mgt_call, pn), g)), 
2.18/2.39	          image_pname_a(mgt_call, u))),
2.18/2.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.18/2.39	tff('2', plain,
2.18/2.39	    (~ $true
2.18/2.39	     | ~ hBOOL(
2.18/2.39	           hAPP_fun_a_bool_bool(
2.18/2.39	             hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), 
2.18/2.39	             image_pname_a(mgt_call, u)))
2.18/2.39	     | ~ hBOOL(
2.18/2.39	           hAPP_fun_a_bool_bool(
2.18/2.39	             hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), 
2.18/2.39	             image_pname_a(mgt_call, u)))),
2.18/2.39	    inference('sup-', [status(thm)], ['0', '1'])).
2.18/2.39	tff(conj_1, axiom,
2.18/2.39	  (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),
2.18/2.39	                              image_pname_a(mgt_call,u))))).
2.18/2.39	tff('3', plain,
2.18/2.39	    hBOOL(
2.18/2.39	      hAPP_fun_a_bool_bool(
2.18/2.39	        hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), 
2.18/2.39	        image_pname_a(mgt_call, u))),
2.18/2.39	    inference('cnf', [status(esa)], [conj_1])).
2.18/2.39	tff(conj_4, axiom,
2.18/2.39	  (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)))).
2.18/2.39	tff('4', plain,
2.18/2.39	    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)),
2.18/2.39	    inference('cnf', [status(esa)], [conj_4])).
2.18/2.39	tff(fact_264_insert__absorb, axiom,
2.18/2.39	  (![A_3:pname,A_1:fun_pname_bool]:
2.18/2.39	     (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),
2.18/2.39	                                   A_1)) =>
2.18/2.39	      (insert_pname(A_3,A_1) = A_1)))).
2.18/2.39	tff('5', plain,
2.18/2.39	    ![X637 : fun_pname_bool, X638 : pname]:
2.18/2.39	      (insert_pname(X638, X637) = X637
2.18/2.39	       | ~ hBOOL(
2.18/2.39	             hAPP_f1664156314l_bool(
2.18/2.39	               hAPP_p338031245l_bool(member_pname, X638), X637))),
2.18/2.39	    inference('cnf', [status(esa)], [fact_264_insert__absorb])).
2.18/2.39	tff('6', plain, (~ $true | insert_pname(pn, u) = u),
2.18/2.39	    inference('sup-', [status(thm)], ['4', '5'])).
2.18/2.39	tff('7', plain, insert_pname(pn, u) = u,
2.18/2.39	    inference('simplify', [status(thm)], ['6'])).
2.18/2.39	tff(fact_337_image__insert, axiom,
2.18/2.39	  (![F:fun_pname_a,A_3:pname,B_6:fun_pname_bool]:
2.18/2.39	     (image_pname_a(F,insert_pname(A_3,B_6)) =
2.18/2.39	      insert_a(hAPP_pname_a(F,A_3),image_pname_a(F,B_6))))).
2.18/2.39	tff('8', plain,
2.18/2.39	    ![X828 : fun_pname_a, X829 : pname, X830 : fun_pname_bool]:
2.18/2.39	      image_pname_a(X828, insert_pname(X829, X830))
2.18/2.39	       = insert_a(hAPP_pname_a(X828, X829), image_pname_a(X828, X830)),
2.18/2.39	    inference('cnf', [status(esa)], [fact_337_image__insert])).
2.18/2.39	tff(fact_232_insertI1, axiom,
2.18/2.39	  (![A_3:x_a,B_6:fun_a_bool]:
2.18/2.39	     hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),
2.18/2.39	                                insert_a(A_3,B_6))))).
2.18/2.39	tff('9', plain,
2.18/2.39	    ![X552 : x_a, X553 : fun_a_bool]:
2.18/2.39	      hBOOL(
2.18/2.39	        hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, X552), 
2.18/2.39	          insert_a(X552, X553))),
2.18/2.39	    inference('cnf', [status(esa)], [fact_232_insertI1])).
2.18/2.39	tff('10', plain,
2.18/2.39	    ![X0 : fun_pname_bool, X1 : pname, X2 : fun_pname_a]:
2.18/2.39	      hBOOL(
2.18/2.39	        hAPP_fun_a_bool_bool(
2.18/2.39	          hAPP_a85458249l_bool(member_a, hAPP_pname_a(X2, X1)), 
2.18/2.39	          image_pname_a(X2, insert_pname(X1, X0)))),
2.18/2.39	    inference('sup+', [status(thm)], ['8', '9'])).
2.18/2.39	tff('11', plain,
2.18/2.39	    ![X0 : fun_pname_a]:
2.18/2.39	      hBOOL(
2.18/2.39	        hAPP_fun_a_bool_bool(
2.18/2.39	          hAPP_a85458249l_bool(member_a, hAPP_pname_a(X0, pn)), 
2.18/2.39	          image_pname_a(X0, u))),
2.18/2.39	    inference('sup+', [status(thm)], ['7', '10'])).
2.18/2.39	tff('12', plain, (~ $true | ~ $true | ~ $true),
2.18/2.39	    inference('demod', [status(thm)], ['2', '3', '11'])).
2.18/2.39	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
2.18/2.39	
2.18/2.39	% SZS output end Refutation
2.18/2.39	EOF
