TSTP Solution File: SWW342+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW342+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:47:18 EDT 2022
% Result : Theorem 51.92s 50.10s
% Output : Proof 51.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWW342+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 09:59:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 51.92/50.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.92/50.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.92/50.11
% 51.92/50.11 %-----------------------------------------------------
% 51.92/50.11 fof(fact_inj__map__eq__map, axiom, ! [_1590075, _1590078, _1590081, _1590084, _1590087] : (c_Fun_Oinj__on(_1590087, _1590084, _1590081, c_Orderings_Otop__class_Otop(tc_fun(_1590087, tc_HOL_Obool))) => (hAPP(hAPP(c_List_Omap(_1590087, _1590084), _1590081), _1590078) = hAPP(hAPP(c_List_Omap(_1590087, _1590084), _1590081), _1590075) <=> _1590078 = _1590075)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inj__map__eq__map)).
% 51.92/50.11 fof(conj_1, conjecture, ! [_1592753, _1592756] : (v_P(_1592753, _1592756) => ! [_1592774] : (c_Natural_Oevaln(c_Com_Ocom_OSKIP, _1592756, v_n, _1592774) => v_P(_1592753, _1592774))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)).
% 51.92/50.11 fof(fact_evaln__elim__cases_I1_J, axiom, ! [_1593504, _1593507, _1593510] : (c_Natural_Oevaln(c_Com_Ocom_OSKIP, _1593510, _1593507, _1593504) => _1593504 = _1593510), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_evaln__elim__cases_I1_J)).
% 51.92/50.11 fof(fact_inj__int, axiom, c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inj__int)).
% 51.92/50.11
% 51.92/50.11 cnf(1, plain, [-(1566 ^ [_773395, _773394, _773393, _773392, _773391]), hAPP(hAPP(c_List_Omap(_773395, _773394), _773393), _773392) = hAPP(hAPP(c_List_Omap(_773395, _773394), _773393), _773391), -(_773392 = _773391)], clausify(fact_inj__map__eq__map)).
% 51.92/50.11 cnf(2, plain, [-(v_P(1754 ^ [], 1755 ^ []))], clausify(conj_1)).
% 51.92/50.11 cnf(3, plain, [-(c_Natural_Oevaln(c_Com_Ocom_OSKIP, 1755 ^ [], v_n, 1756 ^ []))], clausify(conj_1)).
% 51.92/50.11 cnf(4, plain, [v_P(1754 ^ [], 1756 ^ [])], clausify(conj_1)).
% 51.92/50.11 cnf(5, plain, [-(_425961 = _425961)], theory(equality)).
% 51.92/50.11 cnf(6, plain, [_425975 = _425976, -(_425976 = _425975)], theory(equality)).
% 51.92/50.11 cnf(7, plain, [-(v_P(_432346, _432348)), v_P(_432345, _432347), _432345 = _432346, _432347 = _432348], theory(equality)).
% 51.92/50.11 cnf(8, plain, [c_Natural_Oevaln(c_Com_Ocom_OSKIP, _453033, _453032, _453031), -(_453031 = _453033)], clausify(fact_evaln__elim__cases_I1_J)).
% 51.92/50.11 cnf(9, plain, [-(c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))], clausify(fact_inj__int)).
% 51.92/50.11 cnf(10, plain, [c_Fun_Oinj__on(_773395, _773394, _773393, c_Orderings_Otop__class_Otop(tc_fun(_773395, tc_HOL_Obool))), 1566 ^ [_773395, _773394, _773393, _773392, _773391]], clausify(fact_inj__map__eq__map)).
% 51.92/50.11
% 51.92/50.11 cnf('1',plain,[-(v_P(1754 ^ [], 1755 ^ []))],start(2)).
% 51.92/50.11 cnf('1.1',plain,[v_P(1754 ^ [], 1755 ^ []), -(v_P(1754 ^ [], 1756 ^ [])), 1754 ^ [] = 1754 ^ [], 1755 ^ [] = 1756 ^ []],extension(7,bind([[_432345, _432346, _432347, _432348], [1754 ^ [], 1754 ^ [], 1755 ^ [], 1756 ^ []]]))).
% 51.92/50.11 cnf('1.1.1',plain,[v_P(1754 ^ [], 1756 ^ [])],extension(4)).
% 51.92/50.11 cnf('1.1.2',plain,[-(1754 ^ [] = 1754 ^ []), -(1566 ^ [tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), 1754 ^ [], 1754 ^ []]), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), 1754 ^ []) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), 1754 ^ [])],extension(1,bind([[_773392, _773395, _773394, _773393, _773391], [1754 ^ [], tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), 1754 ^ []]]))).
% 51.92/50.11 cnf('1.1.2.1',plain,[1566 ^ [tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), 1754 ^ [], 1754 ^ []], c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))],extension(10,bind([[_773392, _773391, _773394, _773393, _773395], [1754 ^ [], 1754 ^ [], tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), tc_Nat_Onat]]))).
% 51.92/50.11 cnf('1.1.2.1.1',plain,[-(c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))],extension(9)).
% 51.92/50.11 cnf('1.1.2.2',plain,[-(hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), 1754 ^ []) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), 1754 ^ []))],extension(5,bind([[_425961], [hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), 1754 ^ [])]]))).
% 51.92/50.11 cnf('1.1.3',plain,[-(1755 ^ [] = 1756 ^ []), 1756 ^ [] = 1755 ^ []],extension(6,bind([[_425975, _425976], [1756 ^ [], 1755 ^ []]]))).
% 51.92/50.11 cnf('1.1.3.1',plain,[-(1756 ^ [] = 1755 ^ []), c_Natural_Oevaln(c_Com_Ocom_OSKIP, 1755 ^ [], v_n, 1756 ^ [])],extension(8,bind([[_453033, _453032, _453031], [1755 ^ [], v_n, 1756 ^ []]]))).
% 51.92/50.11 cnf('1.1.3.1.1',plain,[-(c_Natural_Oevaln(c_Com_Ocom_OSKIP, 1755 ^ [], v_n, 1756 ^ []))],extension(3)).
% 51.92/50.11 %-----------------------------------------------------
% 51.92/50.12
% 51.92/50.12 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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