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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET932+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n028.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 02:57:11 EDT 2022

% Result   : Theorem 0.35s 1.41s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET932+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n028.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 : Mon Jul 11 05:21:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.35/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42  
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  fof(t79_zfmisc_1, conjecture, ! [_17393, _17396] : (subset(_17393, _17396) => subset(powerset(_17393), powerset(_17396))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t79_zfmisc_1)).
% 0.35/1.42  fof(t1_xboole_1, axiom, ! [_17601, _17604, _17607] : (subset(_17601, _17604) & subset(_17604, _17607) => subset(_17601, _17607)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_xboole_1)).
% 0.35/1.42  fof(d3_tarski, axiom, ! [_17786, _17789] : (subset(_17786, _17789) <=> ! [_17807] : (in(_17807, _17786) => in(_17807, _17789))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.35/1.42  fof(d1_zfmisc_1, axiom, ! [_18003, _18006] : (_18006 = powerset(_18003) <=> ! [_18024] : (in(_18024, _18006) <=> subset(_18024, _18003))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.35/1.42  
% 0.35/1.42  cnf(1, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(t79_zfmisc_1)).
% 0.35/1.42  cnf(2, plain, [subset(powerset(5 ^ []), powerset(6 ^ []))], clausify(t79_zfmisc_1)).
% 0.35/1.42  cnf(3, plain, [_7720 = _7769, -(powerset(_7720) = powerset(_7769))], theory(equality)).
% 0.35/1.42  cnf(4, plain, [-(_5210 = _5210)], theory(equality)).
% 0.35/1.42  cnf(5, plain, [-(subset(_9895, _10006)), subset(_9895, _9951), subset(_9951, _10006)], clausify(t1_xboole_1)).
% 0.35/1.42  cnf(6, plain, [-(subset(_8896, _8952)), -(in(2 ^ [_8952, _8896], _8896))], clausify(d3_tarski)).
% 0.35/1.42  cnf(7, plain, [-(subset(_8896, _8952)), in(2 ^ [_8952, _8896], _8952)], clausify(d3_tarski)).
% 0.35/1.42  cnf(8, plain, [_8473 = powerset(_8415), in(_8605, _8473), -(subset(_8605, _8415))], clausify(d1_zfmisc_1)).
% 0.35/1.42  cnf(9, plain, [_8473 = powerset(_8415), -(in(_8605, _8473)), subset(_8605, _8415)], clausify(d1_zfmisc_1)).
% 0.35/1.42  
% 0.35/1.42  cnf('1',plain,[subset(powerset(5 ^ []), powerset(6 ^ []))],start(2)).
% 0.35/1.42  cnf('1.1',plain,[-(subset(powerset(5 ^ []), powerset(6 ^ []))), -(in(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], powerset(5 ^ [])))],extension(6,bind([[_8952, _8896], [powerset(6 ^ []), powerset(5 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1',plain,[in(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], powerset(5 ^ [])), powerset(5 ^ []) = powerset(5 ^ []), -(subset(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], 5 ^ []))],extension(8,bind([[_8473, _8605, _8415], [powerset(5 ^ []), 2 ^ [powerset(6 ^ []), powerset(5 ^ [])], 5 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.1',plain,[-(powerset(5 ^ []) = powerset(5 ^ [])), 5 ^ [] = 5 ^ []],extension(3,bind([[_7720, _7769], [5 ^ [], 5 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_5210], [5 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.2',plain,[subset(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], 5 ^ []), -(subset(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], 6 ^ [])), subset(5 ^ [], 6 ^ [])],extension(5,bind([[_9895, _9951, _10006], [2 ^ [powerset(6 ^ []), powerset(5 ^ [])], 5 ^ [], 6 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.2.1',plain,[subset(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], 6 ^ []), powerset(6 ^ []) = powerset(6 ^ []), -(in(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], powerset(6 ^ [])))],extension(9,bind([[_8415, _8605, _8473], [6 ^ [], 2 ^ [powerset(6 ^ []), powerset(5 ^ [])], powerset(6 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1.2.1.1',plain,[-(powerset(6 ^ []) = powerset(6 ^ []))],extension(4,bind([[_5210], [powerset(6 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1.2.1.2',plain,[in(2 ^ [powerset(6 ^ []), powerset(5 ^ [])], powerset(6 ^ [])), -(subset(powerset(5 ^ []), powerset(6 ^ [])))],extension(7,bind([[_8896, _8952], [powerset(5 ^ []), powerset(6 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1.2.1.2.1',plain,[subset(powerset(5 ^ []), powerset(6 ^ []))],extension(2)).
% 0.35/1.42  cnf('1.1.1.2.2',plain,[-(subset(5 ^ [], 6 ^ []))],extension(1)).
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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