TSTP Solution File: SET148+4 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n023.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 02:51:52 EDT 2022

% Result   : Theorem 0.39s 1.41s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n023.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 04:45:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.42  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.42  
% 0.47/1.42  %-----------------------------------------------------
% 0.47/1.42  fof(thI13, conjecture, ! [_29744] : equal_set(intersection(_29744, _29744), _29744), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI13)).
% 0.47/1.42  fof(subset, axiom, ! [_29881, _29884] : (subset(_29881, _29884) <=> ! [_29902] : (member(_29902, _29881) => member(_29902, _29884))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.47/1.42  fof(equal_set, axiom, ! [_30100, _30103] : (equal_set(_30100, _30103) <=> subset(_30100, _30103) & subset(_30103, _30100)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.47/1.42  fof(intersection, axiom, ! [_30276, _30279, _30282] : (member(_30276, intersection(_30279, _30282)) <=> member(_30276, _30279) & member(_30276, _30282)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.47/1.42  
% 0.47/1.42  cnf(1, plain, [equal_set(intersection(4 ^ [], 4 ^ []), 4 ^ [])], clausify(thI13)).
% 0.47/1.42  cnf(2, plain, [-(subset(_14528, _14584)), -(member(1 ^ [_14584, _14528], _14528))], clausify(subset)).
% 0.47/1.42  cnf(3, plain, [-(subset(_14528, _14584)), member(1 ^ [_14584, _14528], _14584)], clausify(subset)).
% 0.47/1.42  cnf(4, plain, [-(equal_set(_14989, _15040)), subset(_14989, _15040), subset(_15040, _14989)], clausify(equal_set)).
% 0.47/1.42  cnf(5, plain, [member(_15715, intersection(_15774, _15832)), -(member(_15715, _15774))], clausify(intersection)).
% 0.47/1.42  cnf(6, plain, [-(member(_15715, intersection(_15774, _15832))), member(_15715, _15774), member(_15715, _15832)], clausify(intersection)).
% 0.47/1.42  
% 0.47/1.42  cnf('1',plain,[equal_set(intersection(4 ^ [], 4 ^ []), 4 ^ [])],start(1)).
% 0.47/1.42  cnf('1.1',plain,[-(equal_set(intersection(4 ^ [], 4 ^ []), 4 ^ [])), subset(intersection(4 ^ [], 4 ^ []), 4 ^ []), subset(4 ^ [], intersection(4 ^ [], 4 ^ []))],extension(4,bind([[_15040, _14989], [4 ^ [], intersection(4 ^ [], 4 ^ [])]]))).
% 0.47/1.42  cnf('1.1.1',plain,[-(subset(intersection(4 ^ [], 4 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], intersection(4 ^ [], 4 ^ [])], intersection(4 ^ [], 4 ^ [])))],extension(2,bind([[_14584, _14528], [4 ^ [], intersection(4 ^ [], 4 ^ [])]]))).
% 0.47/1.42  cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], intersection(4 ^ [], 4 ^ [])], intersection(4 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], intersection(4 ^ [], 4 ^ [])], 4 ^ []))],extension(5,bind([[_15832, _15715, _15774], [4 ^ [], 1 ^ [4 ^ [], intersection(4 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.47/1.42  cnf('1.1.1.1.1',plain,[member(1 ^ [4 ^ [], intersection(4 ^ [], 4 ^ [])], 4 ^ []), -(subset(intersection(4 ^ [], 4 ^ []), 4 ^ []))],extension(3,bind([[_14528, _14584], [intersection(4 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.47/1.42  cnf('1.1.1.1.1.1',plain,[subset(intersection(4 ^ [], 4 ^ []), 4 ^ [])],reduction('1.1')).
% 0.47/1.42  cnf('1.1.2',plain,[-(subset(4 ^ [], intersection(4 ^ [], 4 ^ []))), -(member(1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ []))],extension(2,bind([[_14584, _14528], [intersection(4 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.47/1.42  cnf('1.1.2.1',plain,[member(1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ []), -(member(1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], intersection(4 ^ [], 4 ^ []))), member(1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ [])],extension(6,bind([[_15774, _15715, _15832], [4 ^ [], 1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ []]]))).
% 0.47/1.42  cnf('1.1.2.1.1',plain,[member(1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], intersection(4 ^ [], 4 ^ [])), -(subset(4 ^ [], intersection(4 ^ [], 4 ^ [])))],extension(3,bind([[_14528, _14584], [4 ^ [], intersection(4 ^ [], 4 ^ [])]]))).
% 0.47/1.42  cnf('1.1.2.1.1.1',plain,[subset(4 ^ [], intersection(4 ^ [], 4 ^ []))],reduction('1.1')).
% 0.47/1.42  cnf('1.1.2.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 4 ^ []), 4 ^ []], 4 ^ []))],reduction('1.1.2')).
% 0.47/1.42  %-----------------------------------------------------
% 0.47/1.43  
% 0.47/1.43  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------