TSTP Solution File: SEU094+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n007.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 12:00:07 EDT 2022

% Result   : Theorem 30.20s 29.46s
% Output   : Proof 30.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 22:31:44 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 30.20/29.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.20/29.47  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.20/29.47  
% 30.20/29.47  %-----------------------------------------------------
% 30.20/29.47  fof(t25_finset_1, conjecture, ! [_78250] : (finite(_78250) & ! [_78265] : (in(_78265, _78250) => finite(_78265)) <=> finite(union(_78250))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t25_finset_1)).
% 30.20/29.47  fof(l22_finset_1, axiom, ! [_78530] : (finite(_78530) & ! [_78545] : (in(_78545, _78530) => finite(_78545)) => finite(union(_78530))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l22_finset_1)).
% 30.20/29.47  fof(t100_zfmisc_1, axiom, ! [_78932] : subset(_78932, powerset(union(_78932))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t100_zfmisc_1)).
% 30.20/29.47  fof(t13_finset_1, axiom, ! [_79057, _79060] : (subset(_79057, _79060) & finite(_79060) => finite(_79057)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t13_finset_1)).
% 30.20/29.47  fof(t24_finset_1, axiom, ! [_79218] : (finite(_79218) <=> finite(powerset(_79218))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_finset_1)).
% 30.20/29.47  fof(t92_zfmisc_1, axiom, ! [_79356, _79359] : (in(_79356, _79359) => subset(_79356, union(_79359))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t92_zfmisc_1)).
% 30.20/29.47  
% 30.20/29.47  cnf(1, plain, [-(41 ^ []), finite(40 ^ [])], clausify(t25_finset_1)).
% 30.20/29.47  cnf(2, plain, [-(41 ^ []), -(in(40 ^ [], 38 ^ []))], clausify(t25_finset_1)).
% 30.20/29.47  cnf(3, plain, [-(42 ^ []), finite(38 ^ []), 41 ^ []], clausify(t25_finset_1)).
% 30.20/29.47  cnf(4, plain, [-(42 ^ []), -(finite(union(38 ^ [])))], clausify(t25_finset_1)).
% 30.20/29.47  cnf(5, plain, [-(39 ^ []), in(_61035, 38 ^ []), -(finite(_61035))], clausify(t25_finset_1)).
% 30.20/29.47  cnf(6, plain, [-(39 ^ []), -(finite(38 ^ []))], clausify(t25_finset_1)).
% 30.20/29.47  cnf(7, plain, [-(39 ^ []), finite(union(38 ^ []))], clausify(t25_finset_1)).
% 30.20/29.47  cnf(8, plain, [-(10 ^ [_39783]), finite(9 ^ [_39783])], clausify(l22_finset_1)).
% 30.20/29.47  cnf(9, plain, [-(10 ^ [_39783]), -(in(9 ^ [_39783], _39783))], clausify(l22_finset_1)).
% 30.20/29.47  cnf(10, plain, [39 ^ [], 42 ^ []], clausify(t25_finset_1)).
% 30.20/29.47  cnf(11, plain, [-(finite(union(_39783))), finite(_39783), 10 ^ [_39783]], clausify(l22_finset_1)).
% 30.20/29.47  cnf(12, plain, [-(subset(_48510, powerset(union(_48510))))], clausify(t100_zfmisc_1)).
% 30.20/29.47  cnf(13, plain, [-(finite(_48720)), subset(_48720, _48769), finite(_48769)], clausify(t13_finset_1)).
% 30.20/29.47  cnf(14, plain, [finite(_49380), -(finite(powerset(_49380)))], clausify(t24_finset_1)).
% 30.20/29.47  cnf(15, plain, [in(_52206, _52253), -(subset(_52206, union(_52253)))], clausify(t92_zfmisc_1)).
% 30.20/29.47  
% 30.20/29.47  cnf('1',plain,[39 ^ [], 42 ^ []],start(10)).
% 30.20/29.47  cnf('1.1',plain,[-(39 ^ []), in(9 ^ [38 ^ []], 38 ^ []), -(finite(9 ^ [38 ^ []]))],extension(5,bind([[_61035], [9 ^ [38 ^ []]]]))).
% 30.20/29.47  cnf('1.1.1',plain,[-(in(9 ^ [38 ^ []], 38 ^ [])), -(10 ^ [38 ^ []])],extension(9,bind([[_39783], [38 ^ []]]))).
% 30.20/29.47  cnf('1.1.1.1',plain,[10 ^ [38 ^ []], -(finite(union(38 ^ []))), finite(38 ^ [])],extension(11,bind([[_39783], [38 ^ []]]))).
% 30.20/29.47  cnf('1.1.1.1.1',plain,[finite(union(38 ^ [])), -(39 ^ [])],extension(7)).
% 30.20/29.47  cnf('1.1.1.1.1.1',plain,[39 ^ []],reduction('1')).
% 30.20/29.47  cnf('1.1.1.1.2',plain,[-(finite(38 ^ [])), -(39 ^ [])],extension(6)).
% 30.20/29.47  cnf('1.1.1.1.2.1',plain,[39 ^ []],reduction('1')).
% 30.20/29.47  cnf('1.1.2',plain,[finite(9 ^ [38 ^ []]), -(10 ^ [38 ^ []])],extension(8,bind([[_39783], [38 ^ []]]))).
% 30.20/29.48  cnf('1.1.2.1',plain,[10 ^ [38 ^ []], -(finite(union(38 ^ []))), finite(38 ^ [])],extension(11,bind([[_39783], [38 ^ []]]))).
% 30.20/29.48  cnf('1.1.2.1.1',plain,[finite(union(38 ^ [])), -(39 ^ [])],extension(7)).
% 30.20/29.48  cnf('1.1.2.1.1.1',plain,[39 ^ []],reduction('1')).
% 30.20/29.48  cnf('1.1.2.1.2',plain,[-(finite(38 ^ [])), -(39 ^ [])],extension(6)).
% 30.20/29.48  cnf('1.1.2.1.2.1',plain,[39 ^ []],reduction('1')).
% 30.20/29.48  cnf('1.2',plain,[-(42 ^ []), -(finite(union(38 ^ [])))],extension(4)).
% 30.20/29.48  cnf('1.2.1',plain,[finite(union(38 ^ [])), -(finite(powerset(union(38 ^ []))))],extension(14,bind([[_49380], [union(38 ^ [])]]))).
% 30.20/29.48  cnf('1.2.1.1',plain,[finite(powerset(union(38 ^ []))), -(finite(38 ^ [])), subset(38 ^ [], powerset(union(38 ^ [])))],extension(13,bind([[_48720, _48769], [38 ^ [], powerset(union(38 ^ []))]]))).
% 30.20/29.48  cnf('1.2.1.1.1',plain,[finite(38 ^ []), -(42 ^ []), 41 ^ []],extension(3)).
% 30.20/29.48  cnf('1.2.1.1.1.1',plain,[42 ^ []],reduction('1')).
% 30.20/29.48  cnf('1.2.1.1.1.2',plain,[-(41 ^ []), -(in(40 ^ [], 38 ^ []))],extension(2)).
% 30.20/29.48  cnf('1.2.1.1.1.2.1',plain,[in(40 ^ [], 38 ^ []), -(subset(40 ^ [], union(38 ^ [])))],extension(15,bind([[_52206, _52253], [40 ^ [], 38 ^ []]]))).
% 30.20/29.48  cnf('1.2.1.1.1.2.1.1',plain,[subset(40 ^ [], union(38 ^ [])), -(finite(40 ^ [])), finite(union(38 ^ []))],extension(13,bind([[_48720, _48769], [40 ^ [], union(38 ^ [])]]))).
% 30.20/29.48  cnf('1.2.1.1.1.2.1.1.1',plain,[finite(40 ^ []), -(41 ^ [])],extension(1)).
% 30.20/29.48  cnf('1.2.1.1.1.2.1.1.1.1',plain,[41 ^ []],reduction('1.2.1.1.1')).
% 30.20/29.48  cnf('1.2.1.1.1.2.1.1.2',plain,[-(finite(union(38 ^ [])))],reduction('1.2')).
% 30.20/29.48  cnf('1.2.1.1.2',plain,[-(subset(38 ^ [], powerset(union(38 ^ []))))],extension(12,bind([[_48510], [38 ^ []]]))).
% 30.20/29.48  %-----------------------------------------------------
% 30.20/29.48  
% 30.20/29.48  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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