TSTP Solution File: SEU130+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n005.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 12:00:18 EDT 2022

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 19 03:27:08 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.35/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  fof(t28_xboole_1, conjecture, ! [_46029, _46032] : (subset(_46029, _46032) => set_intersection2(_46029, _46032) = _46029), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t28_xboole_1)).
% 0.35/1.41  fof(d3_tarski, axiom, ! [_46234, _46237] : (subset(_46234, _46237) <=> ! [_46255] : (in(_46255, _46234) => in(_46255, _46237))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.35/1.41  fof(d3_xboole_0, axiom, ! [_46441, _46444, _46447] : (_46447 = set_intersection2(_46441, _46444) <=> ! [_46468] : (in(_46468, _46447) <=> in(_46468, _46441) & in(_46468, _46444))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.35/1.41  
% 0.35/1.41  cnf(1, plain, [-(subset(9 ^ [], 10 ^ []))], clausify(t28_xboole_1)).
% 0.35/1.41  cnf(2, plain, [set_intersection2(9 ^ [], 10 ^ []) = 9 ^ []], clausify(t28_xboole_1)).
% 0.35/1.41  cnf(3, plain, [_14730 = _14775, -(_14775 = _14730)], theory(equality)).
% 0.35/1.41  cnf(4, plain, [subset(_21380, _21436), in(_21550, _21380), -(in(_21550, _21436))], clausify(d3_tarski)).
% 0.35/1.41  cnf(5, plain, [-(_21980 = set_intersection2(_21841, _21911)), -(in(4 ^ [_21980, _21911, _21841], _21980)), -(in(4 ^ [_21980, _21911, _21841], _21841))], clausify(d3_xboole_0)).
% 0.35/1.41  cnf(6, plain, [-(_21980 = set_intersection2(_21841, _21911)), in(4 ^ [_21980, _21911, _21841], _21980), in(4 ^ [_21980, _21911, _21841], _21841), in(4 ^ [_21980, _21911, _21841], _21911)], clausify(d3_xboole_0)).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[set_intersection2(9 ^ [], 10 ^ []) = 9 ^ []],start(2)).
% 0.35/1.41  cnf('1.1',plain,[-(set_intersection2(9 ^ [], 10 ^ []) = 9 ^ []), 9 ^ [] = set_intersection2(9 ^ [], 10 ^ [])],extension(3,bind([[_14730, _14775], [9 ^ [], set_intersection2(9 ^ [], 10 ^ [])]]))).
% 0.35/1.41  cnf('1.1.1',plain,[-(9 ^ [] = set_intersection2(9 ^ [], 10 ^ [])), in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ []), in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ []), in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 10 ^ [])],extension(6,bind([[_21980, _21841, _21911], [9 ^ [], 9 ^ [], 10 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.1',plain,[-(in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ [])), -(9 ^ [] = set_intersection2(9 ^ [], 10 ^ [])), -(in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ []))],extension(5,bind([[_21980, _21911, _21841], [9 ^ [], 10 ^ [], 9 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.1.1',plain,[9 ^ [] = set_intersection2(9 ^ [], 10 ^ [])],reduction('1.1')).
% 0.35/1.41  cnf('1.1.1.1.2',plain,[in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ [])],reduction('1.1.1')).
% 0.35/1.41  cnf('1.1.1.2',plain,[-(in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ []))],lemmata('1.1.1')).
% 0.35/1.41  cnf('1.1.1.3',plain,[-(in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 10 ^ [])), subset(9 ^ [], 10 ^ []), in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ [])],extension(4,bind([[_21436, _21550, _21380], [10 ^ [], 4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.3.1',plain,[-(subset(9 ^ [], 10 ^ []))],extension(1)).
% 0.35/1.41  cnf('1.1.1.3.2',plain,[-(in(4 ^ [9 ^ [], 10 ^ [], 9 ^ []], 9 ^ []))],lemmata('1.1.1')).
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  
% 0.35/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------