TSTP Solution File: SET581+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n016.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 02:54:22 EDT 2022

% Result   : Theorem 0.33s 1.41s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Sat Jul  9 17:32:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.33/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.43  
% 0.33/1.43  %-----------------------------------------------------
% 0.33/1.43  fof(prove_th24, conjecture, ! [_16494, _16497, _16500] : (member(_16494, _16497) & member(_16494, _16500) => not_equal(intersection(_16497, _16500), empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th24)).
% 0.33/1.43  fof(intersection_defn, axiom, ! [_16748, _16751, _16754] : (member(_16754, intersection(_16748, _16751)) <=> member(_16754, _16748) & member(_16754, _16751)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.33/1.43  fof(empty_set_defn, axiom, ! [_16949] : ~ member(_16949, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.33/1.43  fof(not_equal_defn, axiom, ! [_17064, _17067] : (not_equal(_17064, _17067) <=> (! _17064) = _17067), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', not_equal_defn)).
% 0.33/1.43  
% 0.33/1.43  cnf(1, plain, [-(member(3 ^ [], 4 ^ []))], clausify(prove_th24)).
% 0.33/1.43  cnf(2, plain, [-(member(3 ^ [], 5 ^ []))], clausify(prove_th24)).
% 0.33/1.43  cnf(3, plain, [not_equal(intersection(4 ^ [], 5 ^ []), empty_set)], clausify(prove_th24)).
% 0.33/1.43  cnf(4, plain, [-(_5204 = _5204)], theory(equality)).
% 0.33/1.43  cnf(5, plain, [-(member(_6508, _6639)), member(_6441, _6574), _6441 = _6508, _6574 = _6639], theory(equality)).
% 0.33/1.43  cnf(6, plain, [-(member(_8491, intersection(_8374, _8433))), member(_8491, _8374), member(_8491, _8433)], clausify(intersection_defn)).
% 0.33/1.43  cnf(7, plain, [member(_8887, empty_set)], clausify(empty_set_defn)).
% 0.33/1.43  cnf(8, plain, [-(not_equal(_9540, _9587)), -(_9540 = _9587)], clausify(not_equal_defn)).
% 0.33/1.43  
% 0.33/1.43  cnf('1',plain,[not_equal(intersection(4 ^ [], 5 ^ []), empty_set)],start(3)).
% 0.33/1.43  cnf('1.1',plain,[-(not_equal(intersection(4 ^ [], 5 ^ []), empty_set)), -(intersection(4 ^ [], 5 ^ []) = empty_set)],extension(8,bind([[_9540, _9587], [intersection(4 ^ [], 5 ^ []), empty_set]]))).
% 0.33/1.43  cnf('1.1.1',plain,[intersection(4 ^ [], 5 ^ []) = empty_set, -(member(3 ^ [], empty_set)), member(3 ^ [], intersection(4 ^ [], 5 ^ [])), 3 ^ [] = 3 ^ []],extension(5,bind([[_6639, _6574, _6441, _6508], [empty_set, intersection(4 ^ [], 5 ^ []), 3 ^ [], 3 ^ []]]))).
% 0.33/1.43  cnf('1.1.1.1',plain,[member(3 ^ [], empty_set)],extension(7,bind([[_8887], [3 ^ []]]))).
% 0.33/1.43  cnf('1.1.1.2',plain,[-(member(3 ^ [], intersection(4 ^ [], 5 ^ []))), member(3 ^ [], 4 ^ []), member(3 ^ [], 5 ^ [])],extension(6,bind([[_8374, _8491, _8433], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.33/1.43  cnf('1.1.1.2.1',plain,[-(member(3 ^ [], 4 ^ []))],extension(1)).
% 0.33/1.43  cnf('1.1.1.2.2',plain,[-(member(3 ^ [], 5 ^ []))],extension(2)).
% 0.33/1.43  cnf('1.1.1.3',plain,[-(3 ^ [] = 3 ^ [])],extension(4,bind([[_5204], [3 ^ []]]))).
% 0.33/1.43  %-----------------------------------------------------
% 0.33/1.43  
% 0.33/1.44  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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