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    : purification_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	  --ho-purify int \
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   : n118.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 09:36:08 CST 2018
218.99/219.25	% done 89719 iterations in 219.051s
218.99/219.25	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
218.99/219.25	% SZS output start Refutation
218.99/219.25	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
218.99/219.25	tff('0', plain, ![X3000 : bool]: (X3000 = fFalse | X3000 = fTrue),
218.99/219.25	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
218.99/219.25	tff(fact_500_finite_OemptyI, axiom,
218.99/219.25	  (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)))).
218.99/219.25	tff('1', plain,
218.99/219.25	    hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, bot_bot_fun_a_bool)),
218.99/219.25	    inference('cnf', [status(esa)], [fact_500_finite_OemptyI])).
218.99/219.25	tff(help_fFalse_1_1_U, axiom, (~hBOOL(fFalse))).
218.99/219.25	tff('2', plain, ~ hBOOL(fFalse),
218.99/219.25	    inference('cnf', [status(esa)], [help_fFalse_1_1_U])).
218.99/219.25	tff('3', plain, ![X0 : bool]: (~ hBOOL(X0) | X0 = fTrue),
218.99/219.25	    inference('sup-', [status(thm)], ['0', '2'])).
218.99/219.25	tff('4', plain,
218.99/219.25	    (~ $true
218.99/219.25	     | hAPP_fun_a_bool_bool(finite_finite_a, bot_bot_fun_a_bool) = fTrue),
218.99/219.25	    inference('sup-', [status(thm)], ['1', '3'])).
218.99/219.25	tff('5', plain,
218.99/219.25	    hAPP_fun_a_bool_bool(finite_finite_a, bot_bot_fun_a_bool) = fTrue,
218.99/219.25	    inference('simplify', [status(thm)], ['4'])).
218.99/219.25	tff('6', plain, hBOOL(fTrue), inference('demod', [status(thm)], ['1', '5'])).
218.99/219.25	tff('7', plain, ![X0 : bool]: (hBOOL(X0) | X0 = fFalse),
218.99/219.25	    inference('sup+', [status(thm)], ['0', '6'])).
218.99/219.25	tff(conj_6, conjecture,
218.99/219.25	  (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
218.99/219.25	                                                     hAPP_f2050579477a_bool(
218.99/219.25	                                                     hAPP_a1206381875a_bool(
218.99/219.25	                                                     insert_a,
218.99/219.25	                                                     hAPP_pname_a(mgt_call,pn)),
218.99/219.25	                                                     g)),
218.99/219.25	                              image_pname_a(mgt_call,u))))).
218.99/219.25	tff(zf_stmt_0, negated_conjecture,
218.99/219.25	  (~
218.99/219.25	    hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
218.99/219.25	                                                      hAPP_f2050579477a_bool(
218.99/219.25	                                                      hAPP_a1206381875a_bool(
218.99/219.25	                                                      insert_a,
218.99/219.25	                                                      hAPP_pname_a(mgt_call,
218.99/219.25	                                                                   pn)),
218.99/219.25	                                                      g)),
218.99/219.25	                               image_pname_a(mgt_call,u))))).
218.99/219.25	tff('8', plain,
218.99/219.25	    ~ hBOOL(
218.99/219.25	        hAPP_fun_a_bool_bool(
218.99/219.25	          hAPP_f1631501043l_bool(ord_le1311769555a_bool, 
218.99/219.25	            hAPP_f2050579477a_bool(
218.99/219.25	              hAPP_a1206381875a_bool(insert_a, hAPP_pname_a(mgt_call, pn)), 
218.99/219.25	              g)), image_pname_a(mgt_call, u))),
218.99/219.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
218.99/219.25	tff('9', plain,
218.99/219.25	    (~ $true
218.99/219.25	     | hAPP_fun_a_bool_bool(
218.99/219.25	         hAPP_f1631501043l_bool(ord_le1311769555a_bool, 
218.99/219.25	           hAPP_f2050579477a_bool(
218.99/219.25	             hAPP_a1206381875a_bool(insert_a, hAPP_pname_a(mgt_call, pn)), g)), 
218.99/219.25	         image_pname_a(mgt_call, u))
218.99/219.25	        = fFalse),
218.99/219.25	    inference('sup-', [status(thm)], ['7', '8'])).
218.99/219.25	tff('10', plain,
218.99/219.25	    hAPP_fun_a_bool_bool(
218.99/219.25	      hAPP_f1631501043l_bool(ord_le1311769555a_bool, 
218.99/219.25	        hAPP_f2050579477a_bool(
218.99/219.25	          hAPP_a1206381875a_bool(insert_a, hAPP_pname_a(mgt_call, pn)), g)), 
218.99/219.25	      image_pname_a(mgt_call, u))
218.99/219.25	     = fFalse,
218.99/219.25	    inference('simplify', [status(thm)], ['9'])).
218.99/219.25	tff(fact_453_insert__subset, axiom,
218.99/219.25	  (![X_1:x_a,A:fun_a_bool,B:fun_a_bool]:
218.99/219.25	     (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
218.99/219.25	                                                        hAPP_f2050579477a_bool(
218.99/219.25	                                                        hAPP_a1206381875a_bool(
218.99/219.25	                                                        insert_a,X_1),A)),
218.99/219.25	                                 B)) <=>
218.99/219.25	      (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,
218.99/219.25	                                                         A),
218.99/219.25	                                  B)) & 
218.99/219.25	       hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)))))).
218.99/219.25	tff('11', plain,
218.99/219.25	    ![X1118 : fun_a_bool, X1120 : x_a, X1121 : fun_a_bool]:
218.99/219.25	      (hBOOL(
218.99/219.25	         hAPP_fun_a_bool_bool(
218.99/219.25	           hAPP_f1631501043l_bool(ord_le1311769555a_bool, 
218.99/219.25	             hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a, X1120), 
218.99/219.25	               X1118)), X1121))
218.99/219.25	       | ~ hBOOL(
218.99/219.25	             hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, X1120), 
218.99/219.25	               X1121))
218.99/219.25	       | ~ hBOOL(
218.99/219.25	             hAPP_fun_a_bool_bool(
218.99/219.25	               hAPP_f1631501043l_bool(ord_le1311769555a_bool, X1118), X1121))),
218.99/219.25	    inference('cnf', [status(esa)], [fact_453_insert__subset])).
218.99/219.25	tff('12', plain,
218.99/219.25	    (hBOOL(fFalse)
218.99/219.25	     | ~ hBOOL(
218.99/219.25	           hAPP_fun_a_bool_bool(
218.99/219.25	             hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), 
218.99/219.25	             image_pname_a(mgt_call, u)))
218.99/219.25	     | ~ hBOOL(
218.99/219.25	           hAPP_fun_a_bool_bool(
218.99/219.25	             hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), 
218.99/219.25	             image_pname_a(mgt_call, u)))),
218.99/219.25	    inference('sup+', [status(thm)], ['10', '11'])).
218.99/219.25	tff(conj_1, axiom,
218.99/219.25	  (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),
218.99/219.25	                              image_pname_a(mgt_call,u))))).
218.99/219.25	tff('13', plain,
218.99/219.25	    hBOOL(
218.99/219.25	      hAPP_fun_a_bool_bool(
218.99/219.25	        hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), 
218.99/219.25	        image_pname_a(mgt_call, u))),
218.99/219.25	    inference('cnf', [status(esa)], [conj_1])).
218.99/219.25	tff('14', plain,
218.99/219.25	    (~ $true
218.99/219.25	     | hAPP_fun_a_bool_bool(
218.99/219.25	         hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), 
218.99/219.25	         image_pname_a(mgt_call, u))
218.99/219.25	        = fTrue),
218.99/219.25	    inference('sup-', [status(thm)], ['13', '3'])).
218.99/219.25	tff('15', plain,
218.99/219.25	    hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), 
218.99/219.25	      image_pname_a(mgt_call, u))
218.99/219.25	     = fTrue,
218.99/219.25	    inference('simplify', [status(thm)], ['14'])).
218.99/219.25	tff('16', plain,
218.99/219.25	    (hBOOL(fFalse)
218.99/219.25	     | ~ $true
218.99/219.25	     | ~ hBOOL(
218.99/219.25	           hAPP_fun_a_bool_bool(
218.99/219.25	             hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), 
218.99/219.25	             image_pname_a(mgt_call, u)))),
218.99/219.25	    inference('demod', [status(thm)], ['12', '15', '6'])).
218.99/219.25	tff('17', plain,
218.99/219.25	    (~ hBOOL(
218.99/219.25	         hAPP_fun_a_bool_bool(
218.99/219.25	           hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), 
218.99/219.25	           image_pname_a(mgt_call, u)))
218.99/219.25	     | hBOOL(fFalse)),
218.99/219.25	    inference('simplify', [status(thm)], ['16'])).
218.99/219.25	tff(conj_4, axiom,
218.99/219.25	  (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)))).
218.99/219.25	tff('18', plain,
218.99/219.25	    hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)),
218.99/219.25	    inference('cnf', [status(esa)], [conj_4])).
218.99/219.25	tff('19', plain,
218.99/219.25	    (~ $true
218.99/219.25	     | hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)
218.99/219.25	        = fTrue),
218.99/219.25	    inference('sup-', [status(thm)], ['18', '3'])).
218.99/219.25	tff('20', plain,
218.99/219.25	    hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)
218.99/219.25	     = fTrue,
218.99/219.25	    inference('simplify', [status(thm)], ['19'])).
218.99/219.25	tff(fact_400_insert__absorb, axiom,
218.99/219.25	  (![A_2:pname,A:fun_pname_bool]:
218.99/219.25	     (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)) =>
218.99/219.25	      (hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A) = A)))).
218.99/219.25	tff('21', plain,
218.99/219.25	    ![X973 : fun_pname_bool, X974 : pname]:
218.99/219.25	      (hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname, X974), X973)
218.99/219.25	        = X973
218.99/219.25	       | ~ hBOOL(
218.99/219.25	             hAPP_f1664156314l_bool(
218.99/219.25	               hAPP_p338031245l_bool(member_pname, X974), X973))),
218.99/219.25	    inference('cnf', [status(esa)], [fact_400_insert__absorb])).
218.99/219.25	tff('22', plain,
218.99/219.25	    (~ hBOOL(fTrue)
218.99/219.25	     | hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname, pn), u) = u),
218.99/219.25	    inference('sup-', [status(thm)], ['20', '21'])).
218.99/219.25	tff('23', plain,
218.99/219.25	    (~ $true
218.99/219.25	     | hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname, pn), u) = u),
218.99/219.25	    inference('demod', [status(thm)], ['22', '6'])).
218.99/219.25	tff('24', plain,
218.99/219.25	    hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname, pn), u) = u,
218.99/219.25	    inference('simplify', [status(thm)], ['23'])).
218.99/219.25	tff(fact_468_image__insert, axiom,
218.99/219.25	  (![F:fun_pname_a,A_2:pname,B:fun_pname_bool]:
218.99/219.25	     (image_pname_a(F,
218.99/219.25	                    hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,
218.99/219.25	                                                                A_2),
218.99/219.25	                                          B)) =
218.99/219.25	      hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,
218.99/219.25	                                                    hAPP_pname_a(F,A_2)),
218.99/219.25	                             image_pname_a(F,B))))).
218.99/219.25	tff('25', plain,
218.99/219.25	    ![X1167 : fun_pname_a, X1168 : pname, X1169 : fun_pname_bool]:
218.99/219.25	      image_pname_a(X1167, 
218.99/219.25	        hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname, X1168), 
218.99/219.25	          X1169))
218.99/219.25	       = hAPP_f2050579477a_bool(
218.99/219.25	           hAPP_a1206381875a_bool(insert_a, hAPP_pname_a(X1167, X1168)), 
218.99/219.25	           image_pname_a(X1167, X1169)),
218.99/219.25	    inference('cnf', [status(esa)], [fact_468_image__insert])).
218.99/219.25	tff(fact_365_insertI1, axiom,
218.99/219.25	  (![A_2:x_a,B:fun_a_bool]:
218.99/219.25	     hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),
218.99/219.25	                                hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(
218.99/219.25	                                                       insert_a,A_2),B))))).
218.99/219.25	tff('26', plain,
218.99/219.25	    ![X882 : x_a, X883 : fun_a_bool]:
218.99/219.25	      hBOOL(
218.99/219.25	        hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, X882), 
218.99/219.25	          hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a, X882), 
218.99/219.25	            X883))),
218.99/219.25	    inference('cnf', [status(esa)], [fact_365_insertI1])).
218.99/219.25	tff('27', plain,
218.99/219.25	    ![X0 : fun_a_bool, X1 : x_a]:
218.99/219.25	      (~ $true
218.99/219.25	       | hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, X1), 
218.99/219.25	           hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a, X1), X0))
218.99/219.25	          = fTrue),
218.99/219.25	    inference('sup-', [status(thm)], ['26', '3'])).
218.99/219.25	tff('28', plain,
218.99/219.25	    ![X0 : fun_a_bool, X1 : x_a]:
218.99/219.25	      hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, X1), 
218.99/219.25	        hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a, X1), X0))
218.99/219.25	       = fTrue,
218.99/219.25	    inference('simplify', [status(thm)], ['27'])).
218.99/219.25	tff('29', plain,
218.99/219.25	    ![X0 : fun_pname_bool, X1 : pname, X2 : fun_pname_a]:
218.99/219.25	      hAPP_fun_a_bool_bool(
218.99/219.25	        hAPP_a85458249l_bool(member_a, hAPP_pname_a(X2, X1)), 
218.99/219.25	        image_pname_a(X2, 
218.99/219.25	          hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname, X1), X0)))
218.99/219.25	       = fTrue,
218.99/219.25	    inference('sup+', [status(thm)], ['25', '28'])).
218.99/219.25	tff('30', plain,
218.99/219.25	    ![X0 : fun_pname_a]:
218.99/219.25	      hAPP_fun_a_bool_bool(
218.99/219.25	        hAPP_a85458249l_bool(member_a, hAPP_pname_a(X0, pn)), 
218.99/219.25	        image_pname_a(X0, u))
218.99/219.25	       = fTrue,
218.99/219.25	    inference('sup+', [status(thm)], ['24', '29'])).
218.99/219.25	tff(fact_535_bot__apply, axiom,
218.99/219.25	  (![X_1:nat]:
218.99/219.25	     (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1)) <=> hBOOL(bot_bot_bool)))).
218.99/219.25	tff('31', plain,
218.99/219.25	    ![X1308 : nat]:
218.99/219.25	      (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool, X1308))
218.99/219.25	       | ~ hBOOL(bot_bot_bool)),
218.99/219.25	    inference('cnf', [status(esa)], [fact_535_bot__apply])).
218.99/219.25	tff(fact_539_empty__def, axiom,
218.99/219.25	  (bot_bot_fun_nat_bool = collect_nat(cOMBK_bool_nat(fFalse)))).
218.99/219.25	tff('32', plain, bot_bot_fun_nat_bool = collect_nat(cOMBK_bool_nat(fFalse)),
218.99/219.25	    inference('cnf', [status(esa)], [fact_539_empty__def])).
218.99/219.25	tff(fact_381_Collect__def, axiom,
218.99/219.25	  (![Pa:fun_nat_bool]: (collect_nat(Pa) = Pa))).
218.99/219.25	tff('33', plain, ![X917 : fun_nat_bool]: collect_nat(X917) = X917,
218.99/219.25	    inference('cnf', [status(esa)], [fact_381_Collect__def])).
218.99/219.25	tff('34', plain, bot_bot_fun_nat_bool = cOMBK_bool_nat(fFalse),
218.99/219.25	    inference('demod', [status(thm)], ['32', '33'])).
218.99/219.25	tff(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U, axiom,
218.99/219.25	  (![P:bool,Q:nat]: (hAPP_nat_bool(cOMBK_bool_nat(P),Q) = P))).
218.99/219.25	tff('35', plain,
218.99/219.25	    ![X3040 : bool, X3041 : nat]:
218.99/219.25	      hAPP_nat_bool(cOMBK_bool_nat(X3040), X3041) = X3040,
218.99/219.25	    inference('cnf', [status(esa)],
218.99/219.25	              [help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U])).
218.99/219.25	tff('36', plain,
218.99/219.25	    ![X0 : nat]: hAPP_nat_bool(bot_bot_fun_nat_bool, X0) = fFalse,
218.99/219.25	    inference('sup+', [status(thm)], ['34', '35'])).
218.99/219.25	tff('37', plain, (hBOOL(fFalse) | ~ hBOOL(bot_bot_bool)),
218.99/219.25	    inference('demod', [status(thm)], ['31', '36'])).
218.99/219.25	tff('38', plain, ~ hBOOL(bot_bot_bool),
218.99/219.25	    inference('clc', [status(thm)], ['37', '2'])).
218.99/219.25	tff('39', plain, (~ $true | bot_bot_bool = fFalse),
218.99/219.25	    inference('sup-', [status(thm)], ['7', '38'])).
218.99/219.25	tff('40', plain, bot_bot_bool = fFalse,
218.99/219.25	    inference('simplify', [status(thm)], ['39'])).
218.99/219.25	tff('41', plain, (~ $true | hBOOL(bot_bot_bool)),
218.99/219.25	    inference('demod', [status(thm)], ['17', '30', '6', '40'])).
218.99/219.25	tff('42', plain, hBOOL(bot_bot_bool),
218.99/219.25	    inference('simplify', [status(thm)], ['41'])).
218.99/219.25	tff('43', plain, ~ $true, inference('sup-', [status(thm)], ['42', '38'])).
218.99/219.25	tff('44', plain, $false, inference('simplify', [status(thm)], ['43'])).
218.99/219.25	
218.99/219.25	% SZS output end Refutation
218.99/219.26	EOF
