TSTP Solution File: KRS078+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS078+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 03:13:38 EDT 2022

% Result   : Unsatisfiable 0.33s 1.40s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % 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 : Tue Jun  7 13:47:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.33/1.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41  % SZS output start Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41  
% 0.33/1.41  %-----------------------------------------------------
% 0.33/1.41  fof(axiom_2, axiom, ! [_34863] : (cUnsatisfiable(_34863) <=> ? [_34878] : (rr(_34863, _34878) & ? [_34896] : (rinvR(_34878, _34896) & ! [_34914] : (rs(_34896, _34914) => cp(_34914))) & ! [_34939, _34942] : (rinvR(_34878, _34939) & rinvR(_34878, _34942) => _34939 = _34942)) & ? [_34878] : (rs(_34863, _34878) & ~ cq(_34878) & ~ cp(_34878))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.33/1.41  fof(rs_substitution_1, axiom, ! [_35457, _35460, _35463] : (_35457 = _35460 & rs(_35457, _35463) => rs(_35460, _35463)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rs_substitution_1)).
% 0.33/1.41  fof(axiom_4, axiom, cUnsatisfiable(i2003_11_14_17_19_13721), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.33/1.41  fof(axiom_3, axiom, ! [_35693, _35696] : (rinvR(_35693, _35696) <=> rr(_35696, _35693)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.33/1.41  
% 0.33/1.41  cnf(1, plain, [-(4 ^ [_21105]), -(_25489 = _25494), rinvR(1 ^ [_21105], _25489), rinvR(1 ^ [_21105], _25494)], clausify(axiom_2)).
% 0.33/1.41  cnf(2, plain, [-(4 ^ [_21105]), rs(2 ^ [_21105], _25578), -(cp(_25578))], clausify(axiom_2)).
% 0.33/1.41  cnf(3, plain, [-(4 ^ [_21105]), -(rinvR(1 ^ [_21105], 2 ^ [_21105]))], clausify(axiom_2)).
% 0.33/1.41  cnf(4, plain, [-(4 ^ [_21105]), -(rr(_21105, 1 ^ [_21105]))], clausify(axiom_2)).
% 0.33/1.41  cnf(5, plain, [-(4 ^ [_21105]), cp(3 ^ [_21105])], clausify(axiom_2)).
% 0.33/1.41  cnf(6, plain, [-(4 ^ [_21105]), -(rs(_21105, 3 ^ [_21105]))], clausify(axiom_2)).
% 0.33/1.41  cnf(7, plain, [-(rs(_19071, _19126)), _19015 = _19071, rs(_19015, _19126)], clausify(rs_substitution_1)).
% 0.33/1.41  cnf(8, plain, [-(cUnsatisfiable(i2003_11_14_17_19_13721))], clausify(axiom_4)).
% 0.33/1.41  cnf(9, plain, [-(rinvR(_22473, _22518)), rr(_22518, _22473)], clausify(axiom_3)).
% 0.33/1.41  cnf(10, plain, [cUnsatisfiable(_21105), 4 ^ [_21105]], clausify(axiom_2)).
% 0.33/1.41  
% 0.33/1.41  cnf('1',plain,[cUnsatisfiable(i2003_11_14_17_19_13721), 4 ^ [i2003_11_14_17_19_13721]],start(10,bind([[_21105], [i2003_11_14_17_19_13721]]))).
% 0.33/1.41  cnf('1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_19_13721))],extension(8)).
% 0.33/1.41  cnf('1.2',plain,[-(4 ^ [i2003_11_14_17_19_13721]), -(i2003_11_14_17_19_13721 = 2 ^ [i2003_11_14_17_19_13721]), rinvR(1 ^ [i2003_11_14_17_19_13721], i2003_11_14_17_19_13721), rinvR(1 ^ [i2003_11_14_17_19_13721], 2 ^ [i2003_11_14_17_19_13721])],extension(1,bind([[_25489, _21105, _25494], [i2003_11_14_17_19_13721, i2003_11_14_17_19_13721, 2 ^ [i2003_11_14_17_19_13721]]]))).
% 0.33/1.41  cnf('1.2.1',plain,[i2003_11_14_17_19_13721 = 2 ^ [i2003_11_14_17_19_13721], -(rs(2 ^ [i2003_11_14_17_19_13721], 3 ^ [i2003_11_14_17_19_13721])), rs(i2003_11_14_17_19_13721, 3 ^ [i2003_11_14_17_19_13721])],extension(7,bind([[_19071, _19015, _19126], [2 ^ [i2003_11_14_17_19_13721], i2003_11_14_17_19_13721, 3 ^ [i2003_11_14_17_19_13721]]]))).
% 0.33/1.41  cnf('1.2.1.1',plain,[rs(2 ^ [i2003_11_14_17_19_13721], 3 ^ [i2003_11_14_17_19_13721]), -(4 ^ [i2003_11_14_17_19_13721]), -(cp(3 ^ [i2003_11_14_17_19_13721]))],extension(2,bind([[_21105, _25578], [i2003_11_14_17_19_13721, 3 ^ [i2003_11_14_17_19_13721]]]))).
% 0.33/1.41  cnf('1.2.1.1.1',plain,[4 ^ [i2003_11_14_17_19_13721]],reduction('1')).
% 0.33/1.41  cnf('1.2.1.1.2',plain,[cp(3 ^ [i2003_11_14_17_19_13721]), -(4 ^ [i2003_11_14_17_19_13721])],extension(5,bind([[_21105], [i2003_11_14_17_19_13721]]))).
% 0.33/1.41  cnf('1.2.1.1.2.1',plain,[4 ^ [i2003_11_14_17_19_13721]],lemmata('1.2.1.1')).
% 0.33/1.41  cnf('1.2.1.2',plain,[-(rs(i2003_11_14_17_19_13721, 3 ^ [i2003_11_14_17_19_13721])), -(4 ^ [i2003_11_14_17_19_13721])],extension(6,bind([[_21105], [i2003_11_14_17_19_13721]]))).
% 0.33/1.41  cnf('1.2.1.2.1',plain,[4 ^ [i2003_11_14_17_19_13721]],reduction('1')).
% 0.33/1.41  cnf('1.2.2',plain,[-(rinvR(1 ^ [i2003_11_14_17_19_13721], i2003_11_14_17_19_13721)), rr(i2003_11_14_17_19_13721, 1 ^ [i2003_11_14_17_19_13721])],extension(9,bind([[_22518, _22473], [i2003_11_14_17_19_13721, 1 ^ [i2003_11_14_17_19_13721]]]))).
% 0.33/1.41  cnf('1.2.2.1',plain,[-(rr(i2003_11_14_17_19_13721, 1 ^ [i2003_11_14_17_19_13721])), -(4 ^ [i2003_11_14_17_19_13721])],extension(4,bind([[_21105], [i2003_11_14_17_19_13721]]))).
% 0.33/1.41  cnf('1.2.2.1.1',plain,[4 ^ [i2003_11_14_17_19_13721]],reduction('1')).
% 0.33/1.41  cnf('1.2.3',plain,[-(rinvR(1 ^ [i2003_11_14_17_19_13721], 2 ^ [i2003_11_14_17_19_13721])), -(4 ^ [i2003_11_14_17_19_13721])],extension(3,bind([[_21105], [i2003_11_14_17_19_13721]]))).
% 0.33/1.41  cnf('1.2.3.1',plain,[4 ^ [i2003_11_14_17_19_13721]],reduction('1')).
% 0.33/1.41  %-----------------------------------------------------
% 0.41/1.42  
% 0.41/1.42  % SZS output end Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
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