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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET885+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 02:56:49 EDT 2022

% Result   : Theorem 0.33s 1.40s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET885+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 17:23:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.33/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42  
% 0.33/1.42  %-----------------------------------------------------
% 0.33/1.42  fof(t26_zfmisc_1, conjecture, ! [_19626, _19629, _19632] : (subset(unordered_pair(_19626, _19629), singleton(_19632)) => _19626 = _19632), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_zfmisc_1)).
% 0.33/1.42  fof(d1_tarski, axiom, ! [_19847, _19850] : (_19850 = singleton(_19847) <=> ! [_19868] : (in(_19868, _19850) <=> _19868 = _19847)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.33/1.42  fof(d3_tarski, axiom, ! [_20060, _20063] : (subset(_20060, _20063) <=> ! [_20081] : (in(_20081, _20060) => in(_20081, _20063))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.33/1.42  fof(d2_tarski, axiom, ! [_20264, _20267, _20270] : (_20270 = unordered_pair(_20264, _20267) <=> ! [_20291] : (in(_20291, _20270) <=> _20291 = _20264 | _20291 = _20267)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 0.33/1.42  
% 0.33/1.42  cnf(1, plain, [-(subset(unordered_pair(6 ^ [], 7 ^ []), singleton(8 ^ [])))], clausify(t26_zfmisc_1)).
% 0.33/1.42  cnf(2, plain, [6 ^ [] = 8 ^ []], clausify(t26_zfmisc_1)).
% 0.33/1.42  cnf(3, plain, [_8250 = _8299, -(singleton(_8250) = singleton(_8299))], theory(equality)).
% 0.33/1.42  cnf(4, plain, [-(_5730 = _5730)], theory(equality)).
% 0.33/1.42  cnf(5, plain, [_9942 = singleton(_9884), in(_10074, _9942), -(_10074 = _9884)], clausify(d1_tarski)).
% 0.33/1.42  cnf(6, plain, [subset(_11050, _11106), in(_11220, _11050), -(in(_11220, _11106))], clausify(d3_tarski)).
% 0.33/1.42  cnf(7, plain, [_10504 = unordered_pair(_10365, _10435), -(in(_10668, _10504)), _10668 = _10365], clausify(d2_tarski)).
% 0.33/1.42  
% 0.33/1.42  cnf('1',plain,[6 ^ [] = 8 ^ []],start(2)).
% 0.33/1.42  cnf('1.1',plain,[-(6 ^ [] = 8 ^ []), singleton(8 ^ []) = singleton(8 ^ []), in(6 ^ [], singleton(8 ^ []))],extension(5,bind([[_9884, _10074, _9942], [8 ^ [], 6 ^ [], singleton(8 ^ [])]]))).
% 0.33/1.42  cnf('1.1.1',plain,[-(singleton(8 ^ []) = singleton(8 ^ [])), 8 ^ [] = 8 ^ []],extension(3,bind([[_8250, _8299], [8 ^ [], 8 ^ []]]))).
% 0.33/1.42  cnf('1.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_5730], [8 ^ []]]))).
% 0.33/1.42  cnf('1.1.2',plain,[-(in(6 ^ [], singleton(8 ^ []))), subset(unordered_pair(6 ^ [], 7 ^ []), singleton(8 ^ [])), in(6 ^ [], unordered_pair(6 ^ [], 7 ^ []))],extension(6,bind([[_11106, _11220, _11050], [singleton(8 ^ []), 6 ^ [], unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.33/1.42  cnf('1.1.2.1',plain,[-(subset(unordered_pair(6 ^ [], 7 ^ []), singleton(8 ^ [])))],extension(1)).
% 0.33/1.42  cnf('1.1.2.2',plain,[-(in(6 ^ [], unordered_pair(6 ^ [], 7 ^ []))), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 6 ^ [] = 6 ^ []],extension(7,bind([[_10504, _10435, _10668, _10365], [unordered_pair(6 ^ [], 7 ^ []), 7 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.33/1.42  cnf('1.1.2.2.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(4,bind([[_5730], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.33/1.42  cnf('1.1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_5730], [6 ^ []]]))).
% 0.33/1.42  %-----------------------------------------------------
% 0.33/1.42  
% 0.33/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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