TSTP Solution File: SET934+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET934+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n019.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 33.98s 33.56s
% Output   : Proof 34.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET934+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 10:31:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 33.98/33.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.98/33.57  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.98/33.57  
% 33.98/33.57  %-----------------------------------------------------
% 33.98/33.57  fof(d3_tarski, axiom, ! [_45599, _45602] : (subset(_45599, _45602) <=> ! [_45620] : (in(_45620, _45599) => in(_45620, _45602))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 33.98/33.57  fof(d2_xboole_0, axiom, ! [_45819, _45822, _45825] : (_45825 = set_union2(_45819, _45822) <=> ! [_45846] : (in(_45846, _45825) <=> in(_45846, _45819) | in(_45846, _45822))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 33.98/33.57  fof(d1_zfmisc_1, axiom, ! [_46114, _46117] : (_46117 = powerset(_46114) <=> ! [_46135] : (in(_46135, _46117) <=> subset(_46135, _46114))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 33.98/33.57  fof(t81_zfmisc_1, conjecture, ! [_46335, _46338] : subset(set_union2(powerset(_46335), powerset(_46338)), powerset(set_union2(_46335, _46338))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t81_zfmisc_1)).
% 33.98/33.57  fof(t1_xboole_1, axiom, ! [_46600, _46603, _46606] : (subset(_46600, _46603) & subset(_46603, _46606) => subset(_46600, _46606)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_xboole_1)).
% 33.98/33.57  
% 33.98/33.57  cnf(1, plain, [-(11 ^ [_12611, _12555]), in(10 ^ [_12611, _12555], _12611)], clausify(d3_tarski)).
% 33.98/33.57  cnf(2, plain, [-(11 ^ [_12611, _12555]), -(in(10 ^ [_12611, _12555], _12555))], clausify(d3_tarski)).
% 33.98/33.57  cnf(3, plain, [-(5 ^ [_12173, _12009, _11940, _11870]), in(_12173, _11940)], clausify(d2_xboole_0)).
% 33.98/33.57  cnf(4, plain, [-(5 ^ [_12173, _12009, _11940, _11870]), in(_12173, _11870)], clausify(d2_xboole_0)).
% 33.98/33.57  cnf(5, plain, [-(6 ^ [_12009, _11940, _11870]), in(_12173, _12009), -(in(_12173, _11870)), -(in(_12173, _11940))], clausify(d2_xboole_0)).
% 33.98/33.57  cnf(6, plain, [-(6 ^ [_12009, _11940, _11870]), -(in(_12173, _12009)), 5 ^ [_12173, _12009, _11940, _11870]], clausify(d2_xboole_0)).
% 33.98/33.57  cnf(7, plain, [-(1 ^ [_11447, _11389]), -(in(_11579, _11447)), subset(_11579, _11389)], clausify(d1_zfmisc_1)).
% 33.98/33.57  cnf(8, plain, [-(1 ^ [_11447, _11389]), in(_11579, _11447), -(subset(_11579, _11389))], clausify(d1_zfmisc_1)).
% 33.98/33.57  cnf(9, plain, [subset(set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(set_union2(14 ^ [], 15 ^ [])))], clausify(t81_zfmisc_1)).
% 33.98/33.57  cnf(10, plain, [_9755 = _9804, -(powerset(_9755) = powerset(_9804))], theory(equality)).
% 33.98/33.57  cnf(11, plain, [-(set_union2(_10074, _10207) = set_union2(_10141, _10272)), _10074 = _10141, _10207 = _10272], theory(equality)).
% 33.98/33.57  cnf(12, plain, [-(_7235 = _7235)], theory(equality)).
% 33.98/33.57  cnf(13, plain, [_11447 = powerset(_11389), 1 ^ [_11447, _11389]], clausify(d1_zfmisc_1)).
% 33.98/33.57  cnf(14, plain, [_12009 = set_union2(_11870, _11940), 6 ^ [_12009, _11940, _11870]], clausify(d2_xboole_0)).
% 33.98/33.57  cnf(15, plain, [-(subset(_12555, _12611)), 11 ^ [_12611, _12555]], clausify(d3_tarski)).
% 33.98/33.57  cnf(16, plain, [-(subset(_14525, _14636)), subset(_14525, _14581), subset(_14581, _14636)], clausify(t1_xboole_1)).
% 33.98/33.57  
% 33.98/33.57  cnf('1',plain,[subset(set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(set_union2(14 ^ [], 15 ^ [])))],start(9)).
% 33.98/33.57  cnf('1.1',plain,[-(subset(set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(set_union2(14 ^ [], 15 ^ [])))), 11 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]],extension(15,bind([[_12611, _12555], [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]]))).
% 33.98/33.57  cnf('1.1.1',plain,[-(11 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]), -(in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(powerset(14 ^ []), powerset(15 ^ []))))],extension(2,bind([[_12611, _12555], [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]]))).
% 33.98/33.57  cnf('1.1.1.1',plain,[in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(powerset(14 ^ []), powerset(15 ^ []))), -(6 ^ [set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(15 ^ []), powerset(14 ^ [])]), -(in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(14 ^ []))), -(in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(15 ^ [])))],extension(5,bind([[_12009, _11870, _12173, _11940], [set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(14 ^ []), 10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.1',plain,[6 ^ [set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(15 ^ []), powerset(14 ^ [])], set_union2(powerset(14 ^ []), powerset(15 ^ [])) = set_union2(powerset(14 ^ []), powerset(15 ^ []))],extension(14,bind([[_12009, _11870, _11940], [set_union2(powerset(14 ^ []), powerset(15 ^ [])), powerset(14 ^ []), powerset(15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.1.1',plain,[-(set_union2(powerset(14 ^ []), powerset(15 ^ [])) = set_union2(powerset(14 ^ []), powerset(15 ^ []))), powerset(14 ^ []) = powerset(14 ^ []), powerset(15 ^ []) = powerset(15 ^ [])],extension(11,bind([[_10074, _10141, _10207, _10272], [powerset(14 ^ []), powerset(14 ^ []), powerset(15 ^ []), powerset(15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.1.1.1',plain,[-(powerset(14 ^ []) = powerset(14 ^ [])), 14 ^ [] = 14 ^ []],extension(10,bind([[_9755, _9804], [14 ^ [], 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.1.1.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(12,bind([[_7235], [14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.1.1.2',plain,[-(powerset(15 ^ []) = powerset(15 ^ [])), 15 ^ [] = 15 ^ []],extension(10,bind([[_9755, _9804], [15 ^ [], 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.1.1.2.1',plain,[-(15 ^ [] = 15 ^ [])],extension(12,bind([[_7235], [15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2',plain,[in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(14 ^ [])), -(1 ^ [powerset(14 ^ []), 14 ^ []]), -(subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 14 ^ []))],extension(8,bind([[_11447, _11579, _11389], [powerset(14 ^ []), 10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.1',plain,[1 ^ [powerset(14 ^ []), 14 ^ []], powerset(14 ^ []) = powerset(14 ^ [])],extension(13,bind([[_11447, _11389], [powerset(14 ^ []), 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.1.1',plain,[-(powerset(14 ^ []) = powerset(14 ^ [])), 14 ^ [] = 14 ^ []],extension(10,bind([[_9755, _9804], [14 ^ [], 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.1.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(12,bind([[_7235], [14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2',plain,[subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 14 ^ []), -(subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ []))), subset(14 ^ [], set_union2(14 ^ [], 15 ^ []))],extension(16,bind([[_14525, _14581, _14636], [10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 14 ^ [], set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1',plain,[subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ [])), -(subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ []))), subset(set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ []))],extension(16,bind([[_14525, _14581, _14636], [10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.1',plain,[subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ [])), -(1 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(14 ^ [], 15 ^ [])]), -(in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(set_union2(14 ^ [], 15 ^ []))))],extension(7,bind([[_11389, _11579, _11447], [set_union2(14 ^ [], 15 ^ []), 10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(set_union2(14 ^ [], 15 ^ []))]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.1.1',plain,[1 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(14 ^ [], 15 ^ [])], powerset(set_union2(14 ^ [], 15 ^ [])) = powerset(set_union2(14 ^ [], 15 ^ []))],extension(13,bind([[_11447, _11389], [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.1.1.1',plain,[-(powerset(set_union2(14 ^ [], 15 ^ [])) = powerset(set_union2(14 ^ [], 15 ^ []))), set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ [])],extension(10,bind([[_9755, _9804], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.1.1.1.1',plain,[-(set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ []))],extension(12,bind([[_7235], [set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.1.2',plain,[in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(set_union2(14 ^ [], 15 ^ []))), -(11 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))])],extension(1,bind([[_12611, _12555], [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.1.2.1',plain,[11 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]],reduction('1.1')).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.2',plain,[-(subset(set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ []))), 11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]],extension(15,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.2.1',plain,[-(11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]), in(10 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])], set_union2(14 ^ [], 15 ^ []))],extension(1,bind([[_12555, _12611], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.2.1.1',plain,[-(in(10 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])], set_union2(14 ^ [], 15 ^ []))), -(11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])])],extension(2,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.1.2.1.1.1',plain,[11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]],reduction('1.1.1.1.2.2.1.2')).
% 33.98/33.57  cnf('1.1.1.1.2.2.2',plain,[-(subset(14 ^ [], set_union2(14 ^ [], 15 ^ []))), 11 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []]],extension(15,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1',plain,[-(11 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []]), in(10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], set_union2(14 ^ [], 15 ^ []))],extension(1,bind([[_12555, _12611], [14 ^ [], set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1.1',plain,[-(in(10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], set_union2(14 ^ [], 15 ^ []))), -(6 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]), 5 ^ [10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]],extension(6,bind([[_12173, _12009, _11940, _11870], [10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1.1.1',plain,[6 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []], set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ [])],extension(14,bind([[_12009, _11870, _11940], [set_union2(14 ^ [], 15 ^ []), 14 ^ [], 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1.1.1.1',plain,[-(set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ []))],extension(12,bind([[_7235], [set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1.1.2',plain,[-(5 ^ [10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]), in(10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], 14 ^ [])],extension(4,bind([[_12009, _11940, _12173, _11870], [set_union2(14 ^ [], 15 ^ []), 15 ^ [], 10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1.1.2.1',plain,[-(in(10 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []], 14 ^ [])), -(11 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []])],extension(2,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.2.2.2.1.1.2.1.1',plain,[11 ^ [set_union2(14 ^ [], 15 ^ []), 14 ^ []]],reduction('1.1.1.1.2.2.2')).
% 33.98/33.57  cnf('1.1.1.1.3',plain,[in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(15 ^ [])), -(1 ^ [powerset(15 ^ []), 15 ^ []]), -(subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 15 ^ []))],extension(8,bind([[_11447, _11579, _11389], [powerset(15 ^ []), 10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.1',plain,[1 ^ [powerset(15 ^ []), 15 ^ []], powerset(15 ^ []) = powerset(15 ^ [])],extension(13,bind([[_11447, _11389], [powerset(15 ^ []), 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.1.1',plain,[-(powerset(15 ^ []) = powerset(15 ^ [])), 15 ^ [] = 15 ^ []],extension(10,bind([[_9755, _9804], [15 ^ [], 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.1.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(12,bind([[_7235], [15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2',plain,[subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 15 ^ []), -(subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ []))), subset(15 ^ [], set_union2(14 ^ [], 15 ^ []))],extension(16,bind([[_14525, _14581, _14636], [10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], 15 ^ [], set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1',plain,[subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ [])), -(subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ []))), subset(set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ []))],extension(16,bind([[_14525, _14581, _14636], [10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.1',plain,[subset(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], set_union2(14 ^ [], 15 ^ [])), -(1 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(14 ^ [], 15 ^ [])]), -(in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(set_union2(14 ^ [], 15 ^ []))))],extension(7,bind([[_11389, _11579, _11447], [set_union2(14 ^ [], 15 ^ []), 10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(set_union2(14 ^ [], 15 ^ []))]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.1.1',plain,[1 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(14 ^ [], 15 ^ [])], powerset(set_union2(14 ^ [], 15 ^ [])) = powerset(set_union2(14 ^ [], 15 ^ []))],extension(13,bind([[_11447, _11389], [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.1.1.1',plain,[-(powerset(set_union2(14 ^ [], 15 ^ [])) = powerset(set_union2(14 ^ [], 15 ^ []))), set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ [])],extension(10,bind([[_9755, _9804], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.1.1.1.1',plain,[-(set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ []))],extension(12,bind([[_7235], [set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.1.2',plain,[in(10 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))], powerset(set_union2(14 ^ [], 15 ^ []))), -(11 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))])],extension(1,bind([[_12611, _12555], [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.1.2.1',plain,[11 ^ [powerset(set_union2(14 ^ [], 15 ^ [])), set_union2(powerset(14 ^ []), powerset(15 ^ []))]],reduction('1.1')).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.2',plain,[-(subset(set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ []))), 11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]],extension(15,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.2.1',plain,[-(11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]), in(10 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])], set_union2(14 ^ [], 15 ^ []))],extension(1,bind([[_12555, _12611], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.2.1.1',plain,[-(in(10 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])], set_union2(14 ^ [], 15 ^ []))), -(11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])])],extension(2,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.1.2.1.1.1',plain,[11 ^ [set_union2(14 ^ [], 15 ^ []), set_union2(14 ^ [], 15 ^ [])]],reduction('1.1.1.1.3.2.1.2')).
% 33.98/33.57  cnf('1.1.1.1.3.2.2',plain,[-(subset(15 ^ [], set_union2(14 ^ [], 15 ^ []))), 11 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []]],extension(15,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1',plain,[-(11 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []]), in(10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], set_union2(14 ^ [], 15 ^ []))],extension(1,bind([[_12555, _12611], [15 ^ [], set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1.1',plain,[-(in(10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], set_union2(14 ^ [], 15 ^ []))), -(6 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]), 5 ^ [10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]],extension(6,bind([[_12173, _12009, _11940, _11870], [10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1.1.1',plain,[6 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []], set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ [])],extension(14,bind([[_12009, _11870, _11940], [set_union2(14 ^ [], 15 ^ []), 14 ^ [], 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1.1.1.1',plain,[-(set_union2(14 ^ [], 15 ^ []) = set_union2(14 ^ [], 15 ^ []))],extension(12,bind([[_7235], [set_union2(14 ^ [], 15 ^ [])]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1.1.2',plain,[-(5 ^ [10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], set_union2(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]), in(10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], 15 ^ [])],extension(3,bind([[_12009, _11870, _12173, _11940], [set_union2(14 ^ [], 15 ^ []), 14 ^ [], 10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1.1.2.1',plain,[-(in(10 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []], 15 ^ [])), -(11 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []])],extension(2,bind([[_12611, _12555], [set_union2(14 ^ [], 15 ^ []), 15 ^ []]]))).
% 33.98/33.57  cnf('1.1.1.1.3.2.2.1.1.2.1.1',plain,[11 ^ [set_union2(14 ^ [], 15 ^ []), 15 ^ []]],reduction('1.1.1.1.3.2.2')).
% 33.98/33.57  %-----------------------------------------------------
% 34.08/33.58  
% 34.08/33.58  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------