TSTP Solution File: SET689+4 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n028.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 : Tue Jul 19 02:55:24 EDT 2022

% Result   : Theorem 0.64s 1.42s
% Output   : Proof 0.64s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 23:39:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.64/1.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/1.43  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/1.44  
% 0.64/1.44  %-----------------------------------------------------
% 0.64/1.44  fof(thI05, conjecture, ! [_29791, _29794, _29797] : (subset(_29791, _29794) & subset(_29794, _29797) & subset(_29797, _29791) => equal_set(_29791, _29797)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI05)).
% 0.64/1.44  fof(subset, axiom, ! [_30051, _30054] : (subset(_30051, _30054) <=> ! [_30072] : (member(_30072, _30051) => member(_30072, _30054))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.64/1.44  fof(equal_set, axiom, ! [_30281, _30284] : (equal_set(_30281, _30284) <=> subset(_30281, _30284) & subset(_30284, _30281)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.64/1.44  
% 0.64/1.44  cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(thI05)).
% 0.64/1.44  cnf(2, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(thI05)).
% 0.64/1.44  cnf(3, plain, [-(subset(6 ^ [], 4 ^ []))], clausify(thI05)).
% 0.64/1.44  cnf(4, plain, [equal_set(4 ^ [], 6 ^ [])], clausify(thI05)).
% 0.64/1.44  cnf(5, plain, [-(subset(_14818, _14874)), -(member(1 ^ [_14874, _14818], _14818))], clausify(subset)).
% 0.64/1.44  cnf(6, plain, [-(subset(_14818, _14874)), member(1 ^ [_14874, _14818], _14874)], clausify(subset)).
% 0.64/1.44  cnf(7, plain, [subset(_14818, _14874), member(_14988, _14818), -(member(_14988, _14874))], clausify(subset)).
% 0.64/1.44  cnf(8, plain, [-(equal_set(_15279, _15330)), subset(_15279, _15330), subset(_15330, _15279)], clausify(equal_set)).
% 0.64/1.44  
% 0.64/1.44  cnf('1',plain,[equal_set(4 ^ [], 6 ^ [])],start(4)).
% 0.64/1.44  cnf('1.1',plain,[-(equal_set(4 ^ [], 6 ^ [])), subset(4 ^ [], 6 ^ []), subset(6 ^ [], 4 ^ [])],extension(8,bind([[_15330, _15279], [6 ^ [], 4 ^ []]]))).
% 0.64/1.44  cnf('1.1.1',plain,[-(subset(4 ^ [], 6 ^ [])), -(member(1 ^ [6 ^ [], 4 ^ []], 4 ^ []))],extension(5,bind([[_14874, _14818], [6 ^ [], 4 ^ []]]))).
% 0.64/1.44  cnf('1.1.1.1',plain,[member(1 ^ [6 ^ [], 4 ^ []], 4 ^ []), subset(4 ^ [], 5 ^ []), -(member(1 ^ [6 ^ [], 4 ^ []], 5 ^ []))],extension(7,bind([[_14818, _14988, _14874], [4 ^ [], 1 ^ [6 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.64/1.44  cnf('1.1.1.1.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.64/1.44  cnf('1.1.1.1.2',plain,[member(1 ^ [6 ^ [], 4 ^ []], 5 ^ []), subset(5 ^ [], 6 ^ []), -(member(1 ^ [6 ^ [], 4 ^ []], 6 ^ []))],extension(7,bind([[_14818, _14988, _14874], [5 ^ [], 1 ^ [6 ^ [], 4 ^ []], 6 ^ []]]))).
% 0.64/1.44  cnf('1.1.1.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(2)).
% 0.64/1.44  cnf('1.1.1.1.2.2',plain,[member(1 ^ [6 ^ [], 4 ^ []], 6 ^ []), -(subset(4 ^ [], 6 ^ []))],extension(6,bind([[_14818, _14874], [4 ^ [], 6 ^ []]]))).
% 0.64/1.44  cnf('1.1.1.1.2.2.1',plain,[subset(4 ^ [], 6 ^ [])],reduction('1.1')).
% 0.64/1.44  cnf('1.1.2',plain,[-(subset(6 ^ [], 4 ^ []))],extension(3)).
% 0.64/1.44  %-----------------------------------------------------
% 0.64/1.44  
% 0.64/1.44  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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