TSTP Solution File: SWW358+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW358+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 00:47:19 EDT 2022
% Result : Theorem 76.19s 74.14s
% Output : Proof 76.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW358+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 23:28:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 76.19/74.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.19/74.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.19/74.15
% 76.19/74.15 %-----------------------------------------------------
% 76.19/74.15 fof(conj_4, conjecture, v_G = hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_4)).
% 76.19/74.15 fof(fact_finite__imageI, axiom, ! [_1816893, _1816896, _1816899, _1816902] : (hBOOL(hAPP(c_Finite__Set_Ofinite(_1816902), _1816899)) => hBOOL(hAPP(c_Finite__Set_Ofinite(_1816896), hAPP(c_Set_Oimage(_1816902, _1816896, _1816893), _1816899)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_finite__imageI)).
% 76.19/74.15 fof(fact_card__seteq, axiom, ! [_1817149, _1817152, _1817155] : (hBOOL(hAPP(c_Finite__Set_Ofinite(_1817155), _1817152)) => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_1817155, tc_HOL_Obool)), _1817149), _1817152)) => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_1817155), _1817152)), hAPP(c_Finite__Set_Ocard(_1817155), _1817149))) => _1817149 = _1817152), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_card__seteq)).
% 76.19/74.15 fof(fact_order__eq__iff, axiom, ! [_1817525, _1817528, _1817531] : (class_Orderings_Oorder(_1817531) => (_1817528 = _1817525 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_1817531), _1817528), _1817525)) & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_1817531), _1817525), _1817528)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_order__eq__iff)).
% 76.19/74.15 fof(arity_Nat__Onat__Orderings_Oorder, axiom, class_Orderings_Oorder(tc_Nat_Onat), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Nat__Onat__Orderings_Oorder)).
% 76.19/74.15 fof(conj_0, hypothesis, hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), v_U)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 76.19/74.15 fof(conj_1, hypothesis, hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)).
% 76.19/74.15 fof(conj_2, hypothesis, hAPP(c_Finite__Set_Ocard(t_a), v_G) = hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)).
% 76.19/74.15
% 76.19/74.15 cnf(1, plain, [v_G = hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)], clausify(conj_4)).
% 76.19/74.15 cnf(2, plain, [hBOOL(hAPP(c_Finite__Set_Ofinite(_452218), _452217)), -(hBOOL(hAPP(c_Finite__Set_Ofinite(_452216), hAPP(c_Set_Oimage(_452218, _452216, _452215), _452217))))], clausify(fact_finite__imageI)).
% 76.19/74.15 cnf(3, plain, [hBOOL(hAPP(c_Finite__Set_Ofinite(_452942), _452941)), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_452942, tc_HOL_Obool)), _452940), _452941)), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_452942), _452941)), hAPP(c_Finite__Set_Ocard(_452942), _452940))), -(_452940 = _452941)], clausify(fact_card__seteq)).
% 76.19/74.15 cnf(4, plain, [class_Orderings_Oorder(_453826), _453825 = _453824, -(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_453826), _453824), _453825)))], clausify(fact_order__eq__iff)).
% 76.19/74.15 cnf(5, plain, [-(class_Orderings_Oorder(tc_Nat_Onat))], clausify(arity_Nat__Onat__Orderings_Oorder)).
% 76.19/74.15 cnf(6, plain, [-(hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), v_U)))], clausify(conj_0)).
% 76.19/74.15 cnf(7, plain, [-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))))], clausify(conj_1)).
% 76.19/74.15 cnf(8, plain, [-(hAPP(c_Finite__Set_Ocard(t_a), v_G) = hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))], clausify(conj_2)).
% 76.19/74.15
% 76.19/74.15 cnf('1',plain,[v_G = hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)],start(1)).
% 76.19/74.15 cnf('1.1',plain,[-(v_G = hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)), hBOOL(hAPP(c_Finite__Set_Ofinite(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))), hAPP(c_Finite__Set_Ocard(t_a), v_G)))],extension(3,bind([[_452941, _452942, _452940], [hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U), t_a, v_G]]))).
% 76.19/74.15 cnf('1.1.1',plain,[-(hBOOL(hAPP(c_Finite__Set_Ofinite(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))), hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), v_U))],extension(2,bind([[_452216, _452215, _452218, _452217], [t_a, v_mgt__call, tc_Com_Opname, v_U]]))).
% 76.19/74.15 cnf('1.1.1.1',plain,[-(hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), v_U)))],extension(6)).
% 76.19/74.15 cnf('1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))))],extension(7)).
% 76.19/74.15 cnf('1.1.3',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))), hAPP(c_Finite__Set_Ocard(t_a), v_G)))), class_Orderings_Oorder(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(t_a), v_G) = hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))],extension(4,bind([[_453826, _453825, _453824], [tc_Nat_Onat, hAPP(c_Finite__Set_Ocard(t_a), v_G), hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))]]))).
% 76.19/74.15 cnf('1.1.3.1',plain,[-(class_Orderings_Oorder(tc_Nat_Onat))],extension(5)).
% 76.19/74.15 cnf('1.1.3.2',plain,[-(hAPP(c_Finite__Set_Ocard(t_a), v_G) = hAPP(c_Finite__Set_Ocard(t_a), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))],extension(8)).
% 76.19/74.15 %-----------------------------------------------------
% 76.19/74.16
% 76.19/74.16 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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