TSTP Solution File: SWW295+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW295+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 00:47:12 EDT 2022

% Result   : Theorem 30.81s 30.46s
% Output   : Proof 30.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW295+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n018.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 06:27:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 30.81/30.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.81/30.47  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.81/30.47  
% 30.81/30.47  %-----------------------------------------------------
% 30.81/30.47  fof(conj_0, conjecture, ! [_1712739, _1712742] : (v_P(_1712739, _1712742) => ! [_1712760] : (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), _1712742, v_n, _1712760) => v_Q(_1712739, _1712760))) <=> ! [_1712739, _1712742] : (v_P(_1712739, _1712742) => ! [_1712760] : (c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), _1712742, hAPP(c_Nat_OSuc, v_n), _1712760) => v_Q(_1712739, _1712760))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 30.81/30.47  fof(fact_evaln_OBody, axiom, ! [_1716339, _1716342, _1716345, _1716348] : (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _1716348)), _1716345, _1716342, _1716339) => c_Natural_Oevaln(c_Com_Ocom_OBODY(_1716348), _1716345, hAPP(c_Nat_OSuc, _1716342), _1716339)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_evaln_OBody)).
% 30.81/30.47  fof(fact_evaln_Oequations_I9_J, axiom, ! [_1716601, _1716604, _1716607, _1716610] : (c_Natural_Oevaln(c_Com_Ocom_OBODY(_1716610), _1716607, hAPP(c_Nat_OSuc, _1716604), _1716601) <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _1716610)), _1716607, _1716604, _1716601)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_evaln_Oequations_I9_J)).
% 30.81/30.47  
% 30.81/30.47  cnf(1, plain, [-(1734 ^ []), v_P(_840462, _840463), c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), _840463, hAPP(c_Nat_OSuc, v_n), _840467), -(v_Q(_840462, _840467))], clausify(conj_0)).
% 30.81/30.47  cnf(2, plain, [-(1734 ^ []), v_Q(1731 ^ [], 1733 ^ [])], clausify(conj_0)).
% 30.81/30.47  cnf(3, plain, [-(1734 ^ []), -(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 1732 ^ [], v_n, 1733 ^ []))], clausify(conj_0)).
% 30.81/30.47  cnf(4, plain, [-(1734 ^ []), -(v_P(1731 ^ [], 1732 ^ []))], clausify(conj_0)).
% 30.81/30.47  cnf(5, plain, [-(1730 ^ []), v_P(_840419, _840420), c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), _840420, v_n, _840424), -(v_Q(_840419, _840424))], clausify(conj_0)).
% 30.81/30.47  cnf(6, plain, [-(1730 ^ []), v_Q(1727 ^ [], 1729 ^ [])], clausify(conj_0)).
% 30.81/30.47  cnf(7, plain, [-(1730 ^ []), -(c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 1728 ^ [], hAPP(c_Nat_OSuc, v_n), 1729 ^ []))], clausify(conj_0)).
% 30.81/30.47  cnf(8, plain, [-(1730 ^ []), -(v_P(1727 ^ [], 1728 ^ []))], clausify(conj_0)).
% 30.81/30.47  cnf(9, plain, [1730 ^ [], 1734 ^ []], clausify(conj_0)).
% 30.81/30.47  cnf(10, plain, [c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _449395)), _449394, _449393, _449392), -(c_Natural_Oevaln(c_Com_Ocom_OBODY(_449395), _449394, hAPP(c_Nat_OSuc, _449393), _449392))], clausify(fact_evaln_OBody)).
% 30.81/30.47  cnf(11, plain, [c_Natural_Oevaln(c_Com_Ocom_OBODY(_449451), _449450, hAPP(c_Nat_OSuc, _449449), _449448), -(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _449451)), _449450, _449449, _449448))], clausify(fact_evaln_Oequations_I9_J)).
% 30.81/30.47  
% 30.81/30.47  cnf('1',plain,[1730 ^ [], 1734 ^ []],start(9)).
% 30.81/30.47  cnf('1.1',plain,[-(1730 ^ []), v_P(1727 ^ [], 1728 ^ []), c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 1728 ^ [], v_n, 1729 ^ []), -(v_Q(1727 ^ [], 1729 ^ []))],extension(5,bind([[_840420, _840419, _840424], [1728 ^ [], 1727 ^ [], 1729 ^ []]]))).
% 30.81/30.47  cnf('1.1.1',plain,[-(v_P(1727 ^ [], 1728 ^ [])), -(1730 ^ [])],extension(8)).
% 30.81/30.47  cnf('1.1.1.1',plain,[1730 ^ []],reduction('1')).
% 30.81/30.47  cnf('1.1.2',plain,[-(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 1728 ^ [], v_n, 1729 ^ [])), c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 1728 ^ [], hAPP(c_Nat_OSuc, v_n), 1729 ^ [])],extension(11,bind([[_449451, _449450, _449449, _449448], [v_pn, 1728 ^ [], v_n, 1729 ^ []]]))).
% 30.81/30.47  cnf('1.1.2.1',plain,[-(c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 1728 ^ [], hAPP(c_Nat_OSuc, v_n), 1729 ^ [])), -(1730 ^ [])],extension(7)).
% 30.81/30.47  cnf('1.1.2.1.1',plain,[1730 ^ []],reduction('1')).
% 30.81/30.47  cnf('1.1.3',plain,[v_Q(1727 ^ [], 1729 ^ []), -(1730 ^ [])],extension(6)).
% 30.81/30.47  cnf('1.1.3.1',plain,[1730 ^ []],reduction('1')).
% 30.81/30.47  cnf('1.2',plain,[-(1734 ^ []), v_P(1731 ^ [], 1732 ^ []), c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 1732 ^ [], hAPP(c_Nat_OSuc, v_n), 1733 ^ []), -(v_Q(1731 ^ [], 1733 ^ []))],extension(1,bind([[_840463, _840462, _840467], [1732 ^ [], 1731 ^ [], 1733 ^ []]]))).
% 30.81/30.47  cnf('1.2.1',plain,[-(v_P(1731 ^ [], 1732 ^ [])), -(1734 ^ [])],extension(4)).
% 30.81/30.47  cnf('1.2.1.1',plain,[1734 ^ []],reduction('1')).
% 30.81/30.47  cnf('1.2.2',plain,[-(c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 1732 ^ [], hAPP(c_Nat_OSuc, v_n), 1733 ^ [])), c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 1732 ^ [], v_n, 1733 ^ [])],extension(10,bind([[_449395, _449394, _449393, _449392], [v_pn, 1732 ^ [], v_n, 1733 ^ []]]))).
% 30.81/30.47  cnf('1.2.2.1',plain,[-(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 1732 ^ [], v_n, 1733 ^ [])), -(1734 ^ [])],extension(3)).
% 30.81/30.47  cnf('1.2.2.1.1',plain,[1734 ^ []],reduction('1')).
% 30.81/30.47  cnf('1.2.3',plain,[v_Q(1731 ^ [], 1733 ^ []), -(1734 ^ [])],extension(2)).
% 30.81/30.47  cnf('1.2.3.1',plain,[1734 ^ []],reduction('1')).
% 30.81/30.47  %-----------------------------------------------------
% 30.81/30.47  
% 30.81/30.48  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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