TSTP Solution File: SWW362+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW362+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 00:47:20 EDT 2022
% Result : Theorem 34.65s 33.60s
% Output : Proof 34.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW362+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 4 18:44:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 34.65/33.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.65/33.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.65/33.61
% 34.65/33.61 %-----------------------------------------------------
% 34.65/33.61 fof(conj_3, conjecture, hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(t_a), hAPP(v_mgt__call, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool)))), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)).
% 34.65/33.61 fof(fact_empty__subsetI, axiom, ! [_1628788, _1628791] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_1628791, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_1628791, tc_HOL_Obool))), _1628788)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_empty__subsetI)).
% 34.65/33.61 fof(fact_imageI, axiom, ! [_1629026, _1629029, _1629032, _1629035, _1629038] : (hBOOL(hAPP(hAPP(c_member(_1629038), _1629035), _1629032)) => hBOOL(hAPP(hAPP(c_member(_1629029), hAPP(_1629026, _1629035)), hAPP(c_Set_Oimage(_1629038, _1629029, _1629026), _1629032)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_imageI)).
% 34.65/33.61 fof(fact_insert__subset, axiom, ! [_1629359, _1629362, _1629365, _1629368] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_1629368, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_1629368), _1629365), _1629362)), _1629359)) <=> hBOOL(hAPP(hAPP(c_member(_1629368), _1629365), _1629359)) & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_1629368, tc_HOL_Obool)), _1629362), _1629359))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_insert__subset)).
% 34.65/33.61 fof(conj_2, hypothesis, hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), v_pn), v_U)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)).
% 34.65/33.61
% 34.65/33.61 cnf(1, plain, [hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(t_a), hAPP(v_mgt__call, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool)))), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))], clausify(conj_3)).
% 34.65/33.61 cnf(2, plain, [-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_452257, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_452257, tc_HOL_Obool))), _452256)))], clausify(fact_empty__subsetI)).
% 34.65/33.61 cnf(3, plain, [hBOOL(hAPP(hAPP(c_member(_454531), _454530), _454529)), -(hBOOL(hAPP(hAPP(c_member(_454528), hAPP(_454527, _454530)), hAPP(c_Set_Oimage(_454531, _454528, _454527), _454529))))], clausify(fact_imageI)).
% 34.65/33.61 cnf(4, plain, [-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_455935, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_455935), _455934), _455933)), _455932))), hBOOL(hAPP(hAPP(c_member(_455935), _455934), _455932)), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_455935, tc_HOL_Obool)), _455933), _455932))], clausify(fact_insert__subset)).
% 34.65/33.61 cnf(5, plain, [-(hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), v_pn), v_U)))], clausify(conj_2)).
% 34.65/33.61
% 34.65/33.61 cnf('1',plain,[hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(t_a), hAPP(v_mgt__call, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool)))), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))],start(1)).
% 34.65/33.61 cnf('1.1',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(t_a), hAPP(v_mgt__call, v_pn)), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool)))), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))), hBOOL(hAPP(hAPP(c_member(t_a), hAPP(v_mgt__call, v_pn)), 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)), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool))), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))],extension(4,bind([[_455934, _455935, _455933, _455932], [hAPP(v_mgt__call, v_pn), t_a, c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)]]))).
% 34.65/33.61 cnf('1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(t_a), hAPP(v_mgt__call, v_pn)), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)))), hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), v_pn), v_U))],extension(3,bind([[_454528, _454527, _454531, _454530, _454529], [t_a, v_mgt__call, tc_Com_Opname, v_pn, v_U]]))).
% 34.65/33.61 cnf('1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), v_pn), v_U)))],extension(5)).
% 34.65/33.61 cnf('1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_HOL_Obool))), hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U))))],extension(2,bind([[_452257, _452256], [t_a, hAPP(c_Set_Oimage(tc_Com_Opname, t_a, v_mgt__call), v_U)]]))).
% 34.65/33.61 %-----------------------------------------------------
% 34.65/33.62
% 34.65/33.62 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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