TSTP Solution File: KRS073+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n032.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 03:13:37 EDT 2022

% Result   : Unsatisfiable 0.41s 1.36s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.10  % Command  : leancop_casc.sh %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Tue Jun  7 11:57:20 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.41/1.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.36  % SZS output start Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.37  
% 0.48/1.37  %-----------------------------------------------------
% 0.48/1.37  fof(axiom_2, axiom, ! [_48805] : (cUnsatisfiable(_48805) <=> ? [_48820] : (rf(_48805, _48820) & ! [_48838] : (rinvS(_48820, _48838) => cp(_48838)) & ! [_48838] : (rinvF(_48820, _48838) => ? [_48880] : (rs(_48838, _48880) & cp(_48880)))) & ~ cp(_48805)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.48/1.37  fof(rs_substitution_2, axiom, ! [_49265, _49268, _49271] : (_49265 = _49268 & rs(_49271, _49265) => rs(_49271, _49268)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rs_substitution_2)).
% 0.48/1.37  fof(axiom_3, axiom, ! [_49464, _49467, _49470] : (rf(_49464, _49467) & rf(_49464, _49470) => _49467 = _49470), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 0.48/1.37  fof(axiom_5, axiom, ! [_49647, _49650] : (rinvF(_49647, _49650) <=> rf(_49650, _49647)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 0.48/1.37  fof(axiom_7, axiom, ! [_49796, _49799] : (rinvS(_49796, _49799) <=> rs(_49799, _49796)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_7)).
% 0.48/1.37  fof(axiom_9, axiom, cUnsatisfiable(i2003_11_14_17_18_54369), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_9)).
% 0.48/1.37  fof(axiom_11, axiom, ! [_49991, _49994] : (rs(_49991, _49994) => rf(_49991, _49994)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_11)).
% 0.48/1.37  
% 0.48/1.37  cnf(1, plain, [-(3 ^ [_36882, _29429]), -(rs(_36882, 2 ^ [_36882, _29429]))], clausify(axiom_2)).
% 0.48/1.37  cnf(2, plain, [-(4 ^ [_29429]), rinvF(1 ^ [_29429], _36882), 3 ^ [_36882, _29429]], clausify(axiom_2)).
% 0.48/1.37  cnf(3, plain, [-(4 ^ [_29429]), rinvS(1 ^ [_29429], _36869), -(cp(_36869))], clausify(axiom_2)).
% 0.48/1.37  cnf(4, plain, [-(4 ^ [_29429]), -(rf(_29429, 1 ^ [_29429]))], clausify(axiom_2)).
% 0.48/1.37  cnf(5, plain, [-(4 ^ [_29429]), cp(_29429)], clausify(axiom_2)).
% 0.48/1.37  cnf(6, plain, [-(rs(_27917, _27862)), _27806 = _27862, rs(_27917, _27806)], clausify(rs_substitution_2)).
% 0.48/1.37  cnf(7, plain, [cUnsatisfiable(_29429), 4 ^ [_29429]], clausify(axiom_2)).
% 0.48/1.37  cnf(8, plain, [-(_30436 = _30491), rf(_30380, _30436), rf(_30380, _30491)], clausify(axiom_3)).
% 0.48/1.37  cnf(9, plain, [-(rinvF(_31314, _31359)), rf(_31359, _31314)], clausify(axiom_5)).
% 0.48/1.37  cnf(10, plain, [-(rinvS(_31934, _31979)), rs(_31979, _31934)], clausify(axiom_7)).
% 0.48/1.37  cnf(11, plain, [-(cUnsatisfiable(i2003_11_14_17_18_54369))], clausify(axiom_9)).
% 0.48/1.37  cnf(12, plain, [rs(_33123, _33168), -(rf(_33123, _33168))], clausify(axiom_11)).
% 0.48/1.37  
% 0.48/1.37  cnf('1',plain,[cUnsatisfiable(i2003_11_14_17_18_54369), 4 ^ [i2003_11_14_17_18_54369]],start(7,bind([[_29429], [i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_18_54369))],extension(11)).
% 0.48/1.37  cnf('1.2',plain,[-(4 ^ [i2003_11_14_17_18_54369]), rinvF(1 ^ [i2003_11_14_17_18_54369], i2003_11_14_17_18_54369), 3 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]],extension(2,bind([[_36882, _29429], [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.1',plain,[-(rinvF(1 ^ [i2003_11_14_17_18_54369], i2003_11_14_17_18_54369)), rf(i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369])],extension(9,bind([[_31359, _31314], [i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369]]]))).
% 0.48/1.37  cnf('1.2.1.1',plain,[-(rf(i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369])), -(4 ^ [i2003_11_14_17_18_54369])],extension(4,bind([[_29429], [i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.1.1.1',plain,[4 ^ [i2003_11_14_17_18_54369]],reduction('1')).
% 0.48/1.37  cnf('1.2.2',plain,[-(3 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]), -(rs(i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]))],extension(1,bind([[_36882, _29429], [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.2.1',plain,[rs(i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]), -(rs(i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369])), 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369] = 1 ^ [i2003_11_14_17_18_54369]],extension(6,bind([[_27917, _27806, _27862], [i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369], 1 ^ [i2003_11_14_17_18_54369]]]))).
% 0.48/1.37  cnf('1.2.2.1.1',plain,[rs(i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369]), -(rinvS(1 ^ [i2003_11_14_17_18_54369], i2003_11_14_17_18_54369))],extension(10,bind([[_31934, _31979], [1 ^ [i2003_11_14_17_18_54369], i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.2.1.1.1',plain,[rinvS(1 ^ [i2003_11_14_17_18_54369], i2003_11_14_17_18_54369), -(4 ^ [i2003_11_14_17_18_54369]), -(cp(i2003_11_14_17_18_54369))],extension(3,bind([[_29429, _36869], [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.2.1.1.1.1',plain,[4 ^ [i2003_11_14_17_18_54369]],reduction('1')).
% 0.48/1.37  cnf('1.2.2.1.1.1.2',plain,[cp(i2003_11_14_17_18_54369), -(4 ^ [i2003_11_14_17_18_54369])],extension(5,bind([[_29429], [i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.2.1.1.1.2.1',plain,[4 ^ [i2003_11_14_17_18_54369]],lemmata('1.2.2.1.1.1')).
% 0.48/1.37  cnf('1.2.2.1.2',plain,[-(2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369] = 1 ^ [i2003_11_14_17_18_54369]), rf(i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]), rf(i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369])],extension(8,bind([[_30436, _30380, _30491], [2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369], i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369]]]))).
% 0.48/1.37  cnf('1.2.2.1.2.1',plain,[-(rf(i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369])), rs(i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369])],extension(12,bind([[_33123, _33168], [i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]]]))).
% 0.48/1.37  cnf('1.2.2.1.2.1.1',plain,[-(rs(i2003_11_14_17_18_54369, 2 ^ [i2003_11_14_17_18_54369, i2003_11_14_17_18_54369]))],reduction('1.2.2')).
% 0.48/1.37  cnf('1.2.2.1.2.2',plain,[-(rf(i2003_11_14_17_18_54369, 1 ^ [i2003_11_14_17_18_54369])), -(4 ^ [i2003_11_14_17_18_54369])],extension(4,bind([[_29429], [i2003_11_14_17_18_54369]]))).
% 0.48/1.37  cnf('1.2.2.1.2.2.1',plain,[4 ^ [i2003_11_14_17_18_54369]],reduction('1')).
% 0.48/1.37  %-----------------------------------------------------
% 0.48/1.37  
% 0.48/1.37  % SZS output end Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
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