TSTP Solution File: KRS109+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:13:43 EDT 2022

% Result   : Unsatisfiable 81.89s 81.04s
% Output   : Proof 81.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 13:43:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 81.89/81.04  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.89/81.05  % SZS output start Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.89/81.05  
% 81.89/81.05  %-----------------------------------------------------
% 81.89/81.05  fof(rs_substitution_1, axiom, ! [_66208, _66211, _66214] : (_66208 = _66211 & rs(_66208, _66214) => rs(_66211, _66214)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rs_substitution_1)).
% 81.89/81.05  fof(axiom_2, axiom, ! [_66396] : (cUnsatisfiable(_66396) <=> cpxcomp(_66396) & ? [_66418] : (rf(_66396, _66418) & ca_Ax2(_66418))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 81.89/81.05  fof(axiom_3, axiom, ! [_66621] : (cp(_66621) <=> ~ ? [_66638] : ra_Px1(_66621, _66638)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 81.89/81.05  fof(axiom_4, axiom, ! [_66787] : (cpxcomp(_66787) <=> ? [_66802] : ra_Px1(_66787, _66802)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 81.89/81.05  fof(axiom_5, axiom, ! [_66950] : (ca_Ax2(_66950) <=> ! [_66965] : (rinvS(_66950, _66965) => cp(_66965)) & ! [_66965] : (rinvF(_66950, _66965) => ca_Vx3(_66965))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 81.89/81.05  fof(axiom_6, axiom, ! [_67219] : (ca_Vx3(_67219) <=> ? [_67234] : (rs(_67219, _67234) & cp(_67234))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 81.89/81.05  fof(axiom_7, axiom, ! [_67400, _67403, _67406] : (rf(_67400, _67403) & rf(_67400, _67406) => _67403 = _67406), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_7)).
% 81.89/81.05  fof(axiom_9, axiom, ! [_67583, _67586] : (rinvF(_67583, _67586) <=> rf(_67586, _67583)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 81.89/81.05  fof(axiom_11, axiom, ! [_67732, _67735] : (rinvS(_67732, _67735) <=> rs(_67735, _67732)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_11)).
% 81.89/81.05  fof(axiom_13, axiom, cUnsatisfiable(i2003_11_14_17_21_08508), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_13)).
% 81.89/81.05  fof(axiom_14, axiom, ! [_67926, _67929] : (rs(_67926, _67929) => rf(_67926, _67929)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_14)).
% 81.89/81.05  
% 81.89/81.05  cnf(1, plain, [-(_17911 = _17911)], theory(equality)).
% 81.89/81.05  cnf(2, plain, [_18064 = _18109, -(_18109 = _18064)], theory(equality)).
% 81.89/81.05  cnf(3, plain, [-(rf(_21813, _21944)), rf(_21746, _21879), _21746 = _21813, _21879 = _21944], theory(equality)).
% 81.89/81.05  cnf(4, plain, [-(rs(_24933, _25064)), rs(_24866, _24999), _24866 = _24933, _24999 = _25064], theory(equality)).
% 81.89/81.05  cnf(5, plain, [-(rs(_34517, _34572)), _34461 = _34517, rs(_34461, _34572)], clausify(rs_substitution_1)).
% 81.89/81.05  cnf(6, plain, [cUnsatisfiable(_36551), -(cpxcomp(_36551))], clausify(axiom_2)).
% 81.89/81.05  cnf(7, plain, [cUnsatisfiable(_36551), -(rf(_36551, 1 ^ [_36551]))], clausify(axiom_2)).
% 81.89/81.05  cnf(8, plain, [cUnsatisfiable(_36551), -(ca_Ax2(1 ^ [_36551]))], clausify(axiom_2)).
% 81.89/81.05  cnf(9, plain, [cp(_36955), ra_Px1(_36955, _37048)], clausify(axiom_3)).
% 81.89/81.05  cnf(10, plain, [cpxcomp(_37256), -(ra_Px1(_37256, 3 ^ [_37256]))], clausify(axiom_4)).
% 81.89/81.05  cnf(11, plain, [ca_Ax2(_37539), rinvS(_37539, _37652), -(cp(_37652))], clausify(axiom_5)).
% 81.89/81.05  cnf(12, plain, [ca_Ax2(_37539), rinvF(_37539, _37804), -(ca_Vx3(_37804))], clausify(axiom_5)).
% 81.89/81.05  cnf(13, plain, [ca_Vx3(_38077), -(rs(_38077, 6 ^ [_38077]))], clausify(axiom_6)).
% 81.89/81.05  cnf(14, plain, [-(_38479 = _38534), rf(_38423, _38479), rf(_38423, _38534)], clausify(axiom_7)).
% 81.89/81.05  cnf(15, plain, [-(rinvF(_39357, _39402)), rf(_39402, _39357)], clausify(axiom_9)).
% 81.89/81.05  cnf(16, plain, [-(rinvS(_39977, _40022)), rs(_40022, _39977)], clausify(axiom_11)).
% 81.89/81.05  cnf(17, plain, [-(cUnsatisfiable(i2003_11_14_17_21_08508))], clausify(axiom_13)).
% 81.89/81.05  cnf(18, plain, [rs(_40866, _40911), -(rf(_40866, _40911))], clausify(axiom_14)).
% 81.89/81.05  
% 81.89/81.05  cnf('1',plain,[-(rs(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])), i2003_11_14_17_21_08508 = i2003_11_14_17_21_08508, rs(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])],start(5,bind([[_34517, _34461, _34572], [i2003_11_14_17_21_08508, i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.1',plain,[rs(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508]), -(rinvS(1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508))],extension(16,bind([[_39977, _40022], [1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.1.1',plain,[rinvS(1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508), ca_Ax2(1 ^ [i2003_11_14_17_21_08508]), -(cp(i2003_11_14_17_21_08508))],extension(11,bind([[_37539, _37652], [1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.1.1.1',plain,[-(ca_Ax2(1 ^ [i2003_11_14_17_21_08508])), cUnsatisfiable(i2003_11_14_17_21_08508)],extension(8,bind([[_36551], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_08508))],extension(17)).
% 81.89/81.05  cnf('1.1.1.2',plain,[cp(i2003_11_14_17_21_08508), ra_Px1(i2003_11_14_17_21_08508, 3 ^ [i2003_11_14_17_21_08508])],extension(9,bind([[_36955, _37048], [i2003_11_14_17_21_08508, 3 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.1.1.2.1',plain,[-(ra_Px1(i2003_11_14_17_21_08508, 3 ^ [i2003_11_14_17_21_08508])), cpxcomp(i2003_11_14_17_21_08508)],extension(10,bind([[_37256], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.1.1.2.1.1',plain,[-(cpxcomp(i2003_11_14_17_21_08508)), cUnsatisfiable(i2003_11_14_17_21_08508)],extension(6,bind([[_36551], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.1.1.2.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_08508))],extension(17)).
% 81.89/81.05  cnf('1.2',plain,[-(i2003_11_14_17_21_08508 = i2003_11_14_17_21_08508)],extension(1,bind([[_17911], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3',plain,[-(rs(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])), rs(i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508]), i2003_11_14_17_21_08508 = i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508] = 1 ^ [i2003_11_14_17_21_08508]],extension(4,bind([[_24866, _24933, _24999, _25064], [i2003_11_14_17_21_08508, i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508], 1 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.1',plain,[-(rs(i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508])), ca_Vx3(i2003_11_14_17_21_08508)],extension(13,bind([[_38077], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.1.1',plain,[-(ca_Vx3(i2003_11_14_17_21_08508)), ca_Ax2(1 ^ [i2003_11_14_17_21_08508]), rinvF(1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508)],extension(12,bind([[_37539, _37804], [1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.1.1.1',plain,[-(ca_Ax2(1 ^ [i2003_11_14_17_21_08508])), cUnsatisfiable(i2003_11_14_17_21_08508)],extension(8,bind([[_36551], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_08508))],extension(17)).
% 81.89/81.05  cnf('1.3.1.1.2',plain,[-(rinvF(1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508)), rf(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])],extension(15,bind([[_39402, _39357], [i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.1.1.2.1',plain,[-(rf(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])), cUnsatisfiable(i2003_11_14_17_21_08508)],extension(7,bind([[_36551], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.1.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_08508))],extension(17)).
% 81.89/81.05  cnf('1.3.2',plain,[-(i2003_11_14_17_21_08508 = i2003_11_14_17_21_08508)],extension(1,bind([[_17911], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.3',plain,[-(6 ^ [i2003_11_14_17_21_08508] = 1 ^ [i2003_11_14_17_21_08508]), 1 ^ [i2003_11_14_17_21_08508] = 6 ^ [i2003_11_14_17_21_08508]],extension(2,bind([[_18064, _18109], [1 ^ [i2003_11_14_17_21_08508], 6 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.3.1',plain,[-(1 ^ [i2003_11_14_17_21_08508] = 6 ^ [i2003_11_14_17_21_08508]), rf(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508]), rf(i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508])],extension(14,bind([[_38479, _38423, _38534], [1 ^ [i2003_11_14_17_21_08508], i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.3.1.1',plain,[-(rf(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])), rf(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508]), i2003_11_14_17_21_08508 = i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508] = 1 ^ [i2003_11_14_17_21_08508]],extension(3,bind([[_21746, _21813, _21879, _21944], [i2003_11_14_17_21_08508, i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508], 1 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.3.1.1.1',plain,[-(rf(i2003_11_14_17_21_08508, 1 ^ [i2003_11_14_17_21_08508])), cUnsatisfiable(i2003_11_14_17_21_08508)],extension(7,bind([[_36551], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.3.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_08508))],extension(17)).
% 81.89/81.05  cnf('1.3.3.1.1.2',plain,[-(i2003_11_14_17_21_08508 = i2003_11_14_17_21_08508)],extension(1,bind([[_17911], [i2003_11_14_17_21_08508]]))).
% 81.89/81.05  cnf('1.3.3.1.1.3',plain,[-(1 ^ [i2003_11_14_17_21_08508] = 1 ^ [i2003_11_14_17_21_08508])],extension(1,bind([[_17911], [1 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.3.1.2',plain,[-(rf(i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508])), rs(i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508])],extension(18,bind([[_40866, _40911], [i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508]]]))).
% 81.89/81.05  cnf('1.3.3.1.2.1',plain,[-(rs(i2003_11_14_17_21_08508, 6 ^ [i2003_11_14_17_21_08508]))],lemmata('1.3')).
% 81.89/81.05  %-----------------------------------------------------
% 81.89/81.06  
% 81.89/81.06  % SZS output end Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
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