%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET969+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 02:57:24 EDT 2022

% Result   : Theorem 4.99s 5.55s
% Output   : Proof 5.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET969+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % 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
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 10:12:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.99/5.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.99/5.56  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/5.56  
% 5.08/5.56  %-----------------------------------------------------
% 5.08/5.56  fof(t122_zfmisc_1, conjecture, ! [_109784, _109787, _109790] : (cartesian_product2(set_intersection2(_109784, _109787), _109790) = set_intersection2(cartesian_product2(_109784, _109790), cartesian_product2(_109787, _109790)) & cartesian_product2(_109790, set_intersection2(_109784, _109787)) = set_intersection2(cartesian_product2(_109790, _109784), cartesian_product2(_109790, _109787))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t122_zfmisc_1)).
% 5.08/5.56  fof(commutativity_k3_xboole_0, axiom, ! [_110095, _110098] : set_intersection2(_110095, _110098) = set_intersection2(_110098, _110095), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 5.08/5.56  fof(d3_xboole_0, axiom, ! [_110241, _110244, _110247] : (_110247 = set_intersection2(_110241, _110244) <=> ! [_110268] : (in(_110268, _110247) <=> in(_110268, _110241) & in(_110268, _110244))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 5.08/5.56  fof(l55_zfmisc_1, axiom, ! [_110526, _110529, _110532, _110535] : (in(ordered_pair(_110526, _110529), cartesian_product2(_110532, _110535)) <=> in(_110526, _110532) & in(_110529, _110535)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 5.08/5.56  fof(reflexivity_r1_tarski, axiom, ! [_110780, _110783] : subset(_110780, _110780), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 5.08/5.56  fof(t107_zfmisc_1, axiom, ! [_110898, _110901, _110904, _110907] : (in(ordered_pair(_110898, _110901), cartesian_product2(_110904, _110907)) => in(ordered_pair(_110901, _110898), cartesian_product2(_110907, _110904))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t107_zfmisc_1)).
% 5.08/5.56  fof(t17_xboole_1, axiom, ! [_111130, _111133] : subset(set_intersection2(_111130, _111133), _111130), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t17_xboole_1)).
% 5.08/5.56  fof(t110_zfmisc_1, axiom, ! [_111264, _111267, _111270, _111273, _111276, _111279] : (subset(_111264, cartesian_product2(_111267, _111270)) & subset(_111273, cartesian_product2(_111276, _111279)) & ! [_111321, _111324] : (in(ordered_pair(_111321, _111324), _111264) <=> in(ordered_pair(_111321, _111324), _111273)) => _111264 = _111273), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t110_zfmisc_1)).
% 5.08/5.56  
% 5.08/5.56  cnf(1, plain, [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))], clausify(t122_zfmisc_1)).
% 5.08/5.56  cnf(2, plain, [-(set_intersection2(_14696, _14741) = set_intersection2(_14741, _14696))], clausify(commutativity_k3_xboole_0)).
% 5.08/5.56  cnf(3, plain, [_15145 = set_intersection2(_15006, _15076), in(_15309, _15145), -(in(_15309, _15006))], clausify(d3_xboole_0)).
% 5.08/5.56  cnf(4, plain, [_15145 = set_intersection2(_15006, _15076), in(_15309, _15145), -(in(_15309, _15076))], clausify(d3_xboole_0)).
% 5.08/5.56  cnf(5, plain, [_15145 = set_intersection2(_15006, _15076), -(in(_15309, _15145)), in(_15309, _15006), in(_15309, _15076)], clausify(d3_xboole_0)).
% 5.08/5.56  cnf(6, plain, [in(ordered_pair(_16595, _16662), cartesian_product2(_16728, _16793)), -(in(_16595, _16728))], clausify(l55_zfmisc_1)).
% 5.08/5.56  cnf(7, plain, [in(ordered_pair(_16595, _16662), cartesian_product2(_16728, _16793)), -(in(_16662, _16793))], clausify(l55_zfmisc_1)).
% 5.08/5.56  cnf(8, plain, [-(in(ordered_pair(_16595, _16662), cartesian_product2(_16728, _16793))), in(_16595, _16728), in(_16662, _16793)], clausify(l55_zfmisc_1)).
% 5.08/5.56  cnf(9, plain, [-(subset(_17564, _17564))], clausify(reflexivity_r1_tarski)).
% 5.08/5.56  cnf(10, plain, [in(ordered_pair(_17788, _17855), cartesian_product2(_17921, _17986)), -(in(ordered_pair(_17855, _17788), cartesian_product2(_17986, _17921)))], clausify(t107_zfmisc_1)).
% 5.08/5.56  cnf(11, plain, [-(subset(set_intersection2(_19820, _19862), _19820))], clausify(t17_xboole_1)).
% 5.08/5.56  cnf(12, plain, [-(_18433 = _18745), subset(_18433, cartesian_product2(_18538, _18642)), subset(_18745, cartesian_product2(_18847, _18948)), in(ordered_pair(4 ^ [_18948, _18847, _18745, _18642, _18538, _18433], 5 ^ [_18948, _18847, _18745, _18642, _18538, _18433]), _18433), in(ordered_pair(4 ^ [_18948, _18847, _18745, _18642, _18538, _18433], 5 ^ [_18948, _18847, _18745, _18642, _18538, _18433]), _18745)], clausify(t110_zfmisc_1)).
% 5.08/5.56  cnf(13, plain, [-(_18433 = _18745), subset(_18433, cartesian_product2(_18538, _18642)), subset(_18745, cartesian_product2(_18847, _18948)), -(in(ordered_pair(4 ^ [_18948, _18847, _18745, _18642, _18538, _18433], 5 ^ [_18948, _18847, _18745, _18642, _18538, _18433]), _18433)), -(in(ordered_pair(4 ^ [_18948, _18847, _18745, _18642, _18538, _18433], 5 ^ [_18948, _18847, _18745, _18642, _18538, _18433]), _18745))], clausify(t110_zfmisc_1)).
% 5.08/5.56  
% 5.08/5.56  cnf('1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],start(1)).
% 5.08/5.56  cnf('1.1',plain,[-(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],extension(12,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [8 ^ [], 6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.1',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.2',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ [])), in(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [])],extension(8,bind([[_16595, _16728, _16662, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []), 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.1',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []))), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ []), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ [])],extension(5,bind([[_15145, _15006, _15309, _15076], [set_intersection2(6 ^ [], 7 ^ []), 7 ^ [], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(2,bind([[_14741, _14696], [7 ^ [], 6 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.1.2',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(7 ^ [], 8 ^ []))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ [], 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.1.2.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(7 ^ [], 8 ^ []))), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],extension(3,bind([[_15006, _15076, _15309, _15145], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ []), ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.3.1.2.1.1',plain,[-(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.2.1.2',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(13,bind([[_18948, _18847, _18745, _18642, _18538, _18433], [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.2.1.2.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.3.1.2.1.2.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.2.1.2.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.2.1.2.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],reduction('1.1')).
% 5.08/5.56  cnf('1.1.3.1.3',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(6 ^ [], 8 ^ []))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ [], 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.1.3.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(6 ^ [], 8 ^ []))), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],extension(4,bind([[_15006, _15076, _15309, _15145], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ []), ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.3.1.3.1.1',plain,[-(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.3.1.2',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(13,bind([[_18948, _18847, _18745, _18642, _18538, _18433], [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.3.1.2.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.3.1.3.1.2.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.3.1.2.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.1.3.1.2.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],reduction('1.1')).
% 5.08/5.56  cnf('1.1.3.2',plain,[-(in(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [])), in(ordered_pair(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(8 ^ [], 7 ^ []))],extension(6,bind([[_16595, _16662, _16728, _16793], [5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [], 7 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.2.1',plain,[-(in(ordered_pair(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(8 ^ [], 7 ^ []))), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(7 ^ [], 8 ^ []))],extension(10,bind([[_17788, _17855, _17921, _17986], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ [], 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.3.2.1.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(7 ^ [], 8 ^ []))), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],extension(3,bind([[_15006, _15076, _15309, _15145], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ []), ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.3.2.1.1.1',plain,[-(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.2.1.1.2',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(13,bind([[_18948, _18847, _18745, _18642, _18538, _18433], [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.2.1.1.2.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.3.2.1.1.2.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.2.1.1.2.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.3.2.1.1.2.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],reduction('1.1')).
% 5.08/5.56  cnf('1.1.4',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(7 ^ [], 8 ^ [])), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(6 ^ [], 8 ^ []))],extension(5,bind([[_15145, _15006, _15309, _15076], [set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(7 ^ [], 8 ^ []), ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.1',plain,[-(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(7 ^ [], 8 ^ []))), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ []), in(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [])],extension(8,bind([[_16595, _16728, _16662, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ [], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.2.1',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []))],extension(3,bind([[_15006, _15076, _15309, _15145], [7 ^ [], 6 ^ [], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(2,bind([[_14741, _14696], [7 ^ [], 6 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.2.1.2',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []))), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []), 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.2.1.2.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [8 ^ [], 6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.4.2.1.2.1.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.4.2.1.2.1.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2.1.2.1.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2.1.2.1.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],reduction('1.1')).
% 5.08/5.56  cnf('1.1.4.2.2',plain,[-(in(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [])), in(ordered_pair(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],extension(6,bind([[_16595, _16662, _16728, _16793], [5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2.2.1',plain,[-(in(ordered_pair(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],extension(10,bind([[_17788, _17855, _17921, _17986], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []), 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.2.2.1.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [8 ^ [], 6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.4.2.2.1.1.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.4.2.2.1.1.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2.2.1.1.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.2.2.1.1.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],reduction('1.1')).
% 5.08/5.56  cnf('1.1.4.3',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(6 ^ [], 8 ^ []))), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ []), in(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [])],extension(8,bind([[_16595, _16728, _16662, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ [], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.3.1',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 6 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []), in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []))],extension(4,bind([[_15006, _15076, _15309, _15145], [7 ^ [], 6 ^ [], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.3.1.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(2,bind([[_14741, _14696], [7 ^ [], 6 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.3.1.2',plain,[-(in(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []))), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []), 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.3.1.2.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [8 ^ [], 6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.4.3.1.2.1.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.4.3.1.2.1.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.3.1.2.1.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.3.1.2.1.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],reduction('1.1')).
% 5.08/5.56  cnf('1.1.4.3.2',plain,[-(in(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [])), in(ordered_pair(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],extension(6,bind([[_16595, _16662, _16728, _16793], [5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 8 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.3.2.1',plain,[-(in(ordered_pair(5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))],extension(10,bind([[_17788, _17855, _17921, _17986], [4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], set_intersection2(6 ^ [], 7 ^ []), 8 ^ []]]))).
% 5.08/5.56  cnf('1.1.4.3.2.1.1',plain,[-(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []))), -(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))), subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])), subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])), -(in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [8 ^ [], 6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))]]))).
% 5.08/5.56  cnf('1.1.4.3.2.1.1.1',plain,[cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ []))],reduction('1')).
% 5.08/5.56  cnf('1.1.4.3.2.1.1.2',plain,[-(subset(cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])))],extension(9,bind([[_17564], [cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.3.2.1.1.3',plain,[-(subset(set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), cartesian_product2(6 ^ [], 8 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(7 ^ [], 8 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]]))).
% 5.08/5.56  cnf('1.1.4.3.2.1.1.4',plain,[in(ordered_pair(4 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])], 5 ^ [8 ^ [], 6 ^ [], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), cartesian_product2(set_intersection2(6 ^ [], 7 ^ []), 8 ^ [])]), set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],reduction('1.1')).
% 5.08/5.56  cnf('1.2',plain,[-(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],extension(12,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.56  cnf('1.2.1',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.56  cnf('1.2.2',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.56  cnf('1.2.3',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), in(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ []))],extension(8,bind([[_16595, _16728, _16662, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.56  cnf('1.2.3.1',plain,[-(in(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 7 ^ []))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], 7 ^ []]]))).
% 5.08/5.56  cnf('1.2.3.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 7 ^ []))), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],extension(3,bind([[_15006, _15076, _15309, _15145], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ []), ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.56  cnf('1.2.3.1.1.1',plain,[-(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.56  cnf('1.2.3.1.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18745, _18642, _18538, _18433], [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.1.1.2.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.3.1.1.2.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.1.1.2.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.3.1.1.2.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  cnf('1.2.3.2',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ []))), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 7 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 6 ^ [])],extension(5,bind([[_15145, _15006, _15309, _15076], [set_intersection2(6 ^ [], 7 ^ []), 7 ^ [], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 6 ^ []]]))).
% 5.08/5.57  cnf('1.2.3.2.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(2,bind([[_14741, _14696], [7 ^ [], 6 ^ []]]))).
% 5.08/5.57  cnf('1.2.3.2.2',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 7 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 7 ^ []))],extension(7,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], 7 ^ []]]))).
% 5.08/5.57  cnf('1.2.3.2.2.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 7 ^ []))), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],extension(3,bind([[_15006, _15076, _15309, _15145], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ []), ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.2.2.1.1',plain,[-(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.3.2.2.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18745, _18642, _18538, _18433], [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.2.2.1.2.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.3.2.2.1.2.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.2.2.1.2.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.3.2.2.1.2.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  cnf('1.2.3.2.3',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 6 ^ []))],extension(7,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], 6 ^ []]]))).
% 5.08/5.57  cnf('1.2.3.2.3.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 6 ^ []))), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],extension(4,bind([[_15006, _15076, _15309, _15145], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ []), ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.2.3.1.1',plain,[-(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.3.2.3.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18745, _18642, _18538, _18433], [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.2.3.1.2.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.3.2.3.1.2.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.3.2.3.1.2.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.3.2.3.1.2.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  cnf('1.2.4',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 7 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 6 ^ []))],extension(5,bind([[_15145, _15006, _15309, _15076], [set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 7 ^ []), ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.1',plain,[-(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])))],extension(2,bind([[_14741, _14696], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 7 ^ []))), in(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 7 ^ [])],extension(8,bind([[_16595, _16728, _16662, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 7 ^ []]]))).
% 5.08/5.57  cnf('1.2.4.2.1',plain,[-(in(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.2.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.2.1.1.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.4.2.1.1.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.2.1.1.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.2.1.1.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  cnf('1.2.4.2.2',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ []))],extension(3,bind([[_15006, _15076, _15309, _15145], [7 ^ [], 6 ^ [], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.2.2.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(2,bind([[_14741, _14696], [7 ^ [], 6 ^ []]]))).
% 5.08/5.57  cnf('1.2.4.2.2.2',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ []))), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],extension(7,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.2.2.2.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.2.2.2.1.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.4.2.2.2.1.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.2.2.2.1.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.2.2.2.1.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  cnf('1.2.4.3',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], 6 ^ []))), in(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 6 ^ [])],extension(8,bind([[_16595, _16728, _16662, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 6 ^ []]]))).
% 5.08/5.57  cnf('1.2.4.3.1',plain,[-(in(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],extension(6,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.3.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.3.1.1.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.4.3.1.1.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.3.1.1.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.3.1.1.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  cnf('1.2.4.3.2',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 6 ^ [])), set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []), in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ []))],extension(4,bind([[_15006, _15076, _15309, _15145], [7 ^ [], 6 ^ [], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.3.2.1',plain,[-(set_intersection2(6 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 6 ^ []))],extension(2,bind([[_14741, _14696], [7 ^ [], 6 ^ []]]))).
% 5.08/5.57  cnf('1.2.4.3.2.2',plain,[-(in(5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], set_intersection2(6 ^ [], 7 ^ []))), in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))],extension(7,bind([[_16595, _16662, _16728, _16793], [4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 8 ^ [], set_intersection2(6 ^ [], 7 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.3.2.2.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])))), -(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))), subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))), subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])), -(in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))))],extension(13,bind([[_18948, _18847, _18642, _18538, _18433, _18745], [6 ^ [], 8 ^ [], set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.3.2.2.1.1',plain,[cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])) = set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ []))],reduction('1')).
% 5.08/5.57  cnf('1.2.4.3.2.2.1.2',plain,[-(subset(cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))))],extension(9,bind([[_17564], [cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]]))).
% 5.08/5.57  cnf('1.2.4.3.2.2.1.3',plain,[-(subset(set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), cartesian_product2(8 ^ [], 6 ^ [])))],extension(11,bind([[_19862, _19820], [cartesian_product2(8 ^ [], 7 ^ []), cartesian_product2(8 ^ [], 6 ^ [])]]))).
% 5.08/5.57  cnf('1.2.4.3.2.2.1.4',plain,[in(ordered_pair(4 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))], 5 ^ [6 ^ [], 8 ^ [], set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])), set_intersection2(6 ^ [], 7 ^ []), 8 ^ [], cartesian_product2(8 ^ [], set_intersection2(6 ^ [], 7 ^ []))]), set_intersection2(cartesian_product2(8 ^ [], 6 ^ []), cartesian_product2(8 ^ [], 7 ^ [])))],reduction('1.2')).
% 5.08/5.57  %-----------------------------------------------------
% 5.08/5.57  
% 5.08/5.57  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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