TSTP Solution File: SET961+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET961+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:57:21 EDT 2022
% Result : Theorem 242.94s 235.39s
% Output : Proof 242.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET961+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 23:00:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 242.94/235.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 242.94/235.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 242.94/235.40
% 242.94/235.40 %-----------------------------------------------------
% 242.94/235.40 fof(t2_tarski, axiom, ! [_41307, _41310] : (! [_41318] : (in(_41318, _41307) <=> in(_41318, _41310)) => _41307 = _41310), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_tarski)).
% 242.94/235.40 fof(l55_zfmisc_1, axiom, ! [_41507, _41510, _41513, _41516] : (in(ordered_pair(_41507, _41510), cartesian_product2(_41513, _41516)) <=> in(_41507, _41513) & in(_41510, _41516)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 242.94/235.40 fof(t114_zfmisc_1, conjecture, ! [_41763, _41766] : (cartesian_product2(_41763, _41766) = cartesian_product2(_41766, _41763) => _41763 = empty_set | _41766 = empty_set | _41763 = _41766), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t114_zfmisc_1)).
% 242.94/235.40 fof(d1_xboole_0, axiom, ! [_42021] : (_42021 = empty_set <=> ! [_42035] : ~ in(_42035, _42021)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 242.94/235.40
% 242.94/235.40 cnf(1, plain, [-(_13100 = _13156), -(in(4 ^ [_13156, _13100], _13100)), -(in(4 ^ [_13156, _13100], _13156))], clausify(t2_tarski)).
% 242.94/235.40 cnf(2, plain, [-(in(ordered_pair(_12141, _12208), cartesian_product2(_12274, _12339))), in(_12141, _12274), in(_12208, _12339)], clausify(l55_zfmisc_1)).
% 242.94/235.40 cnf(3, plain, [_6428 = _6473, -(_6473 = _6428)], theory(equality)).
% 242.94/235.40 cnf(4, plain, [-(in(_7569, _7700)), in(_7502, _7635), _7502 = _7569, _7635 = _7700], theory(equality)).
% 242.94/235.40 cnf(5, plain, [6 ^ [] = empty_set], clausify(t114_zfmisc_1)).
% 242.94/235.40 cnf(6, plain, [in(ordered_pair(_12141, _12208), cartesian_product2(_12274, _12339)), -(in(_12141, _12274))], clausify(l55_zfmisc_1)).
% 242.94/235.40 cnf(7, plain, [-(_6707 = _6818), _6707 = _6763, _6763 = _6818], theory(equality)).
% 242.94/235.40 cnf(8, plain, [5 ^ [] = 6 ^ []], clausify(t114_zfmisc_1)).
% 242.94/235.40 cnf(9, plain, [_11068 = empty_set, in(_11174, _11068)], clausify(d1_xboole_0)).
% 242.94/235.40 cnf(10, plain, [-(cartesian_product2(5 ^ [], 6 ^ []) = cartesian_product2(6 ^ [], 5 ^ []))], clausify(t114_zfmisc_1)).
% 242.94/235.40 cnf(11, plain, [-(_13100 = _13156), in(4 ^ [_13156, _13100], _13100), in(4 ^ [_13156, _13100], _13156)], clausify(t2_tarski)).
% 242.94/235.40 cnf(12, plain, [in(ordered_pair(_12141, _12208), cartesian_product2(_12274, _12339)), -(in(_12208, _12339))], clausify(l55_zfmisc_1)).
% 242.94/235.40 cnf(13, plain, [-(_6275 = _6275)], theory(equality)).
% 242.94/235.40 cnf(14, plain, [-(_11068 = empty_set), -(in(1 ^ [_11068], _11068))], clausify(d1_xboole_0)).
% 242.94/235.40 cnf(15, plain, [5 ^ [] = empty_set], clausify(t114_zfmisc_1)).
% 242.94/235.40
% 242.94/235.40 cnf('1',plain,[5 ^ [] = 6 ^ []],start(8)).
% 242.94/235.40 cnf('1.1',plain,[-(5 ^ [] = 6 ^ []), -(in(4 ^ [6 ^ [], 5 ^ []], 5 ^ [])), -(in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []))],extension(1,bind([[_13100, _13156], [5 ^ [], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1',plain,[in(4 ^ [6 ^ [], 5 ^ []], 5 ^ []), -(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ []))), in(1 ^ [6 ^ []], 6 ^ [])],extension(2,bind([[_12141, _12274, _12208, _12339], [4 ^ [6 ^ [], 5 ^ []], 5 ^ [], 1 ^ [6 ^ []], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.1',plain,[in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ [])), -(in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))],extension(2,bind([[_12141, _12274, _12208, _12339], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ []), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))]]))).
% 242.94/235.40 cnf('1.1.1.1.1',plain,[in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))), -(in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))))), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))],extension(2,bind([[_12141, _12274, _12208, _12339], [ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))]]))).
% 242.94/235.40 cnf('1.1.1.1.1.1',plain,[in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))), -(in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), 4 ^ [6 ^ [], 5 ^ []]), cartesian_product2(cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))), 6 ^ []))), in(4 ^ [6 ^ [], 5 ^ []], 6 ^ [])],extension(2,bind([[_12141, _12274, _12208, _12339], [ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))), 4 ^ [6 ^ [], 5 ^ []], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.1.1.1.1',plain,[in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), 4 ^ [6 ^ [], 5 ^ []]), cartesian_product2(cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))), 6 ^ [])), -(in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []))],extension(12,bind([[_12141, _12274, _12208, _12339], [ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))), 4 ^ [6 ^ [], 5 ^ []], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.1.1.1.1.1',plain,[in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []), -(5 ^ [] = 6 ^ []), in(4 ^ [6 ^ [], 5 ^ []], 5 ^ [])],extension(11,bind([[_13156, _13100], [6 ^ [], 5 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.1.1.1.1.1.1',plain,[5 ^ [] = 6 ^ []],extension(8)).
% 242.94/235.40 cnf('1.1.1.1.1.1.1.1.2',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 5 ^ []))],reduction('1.1')).
% 242.94/235.40 cnf('1.1.1.1.1.1.2',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))],extension(6,bind([[_12141, _12208, _12274, _12339], [4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), 6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))]]))).
% 242.94/235.40 cnf('1.1.1.1.1.1.2.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))), in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))))],extension(12,bind([[_12141, _12208, _12274, _12339], [ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))]]))).
% 242.94/235.40 cnf('1.1.1.1.1.1.2.1.1',plain,[-(in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))))],reduction('1.1.1.1.1')).
% 242.94/235.40 cnf('1.1.1.1.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])))), cartesian_product2(6 ^ [], cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))), in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []), in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))],extension(2,bind([[_12141, _12274, _12208, _12339], [4 ^ [6 ^ [], 5 ^ []], 6 ^ [], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))]]))).
% 242.94/235.40 cnf('1.1.1.1.1.2.1',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))],extension(6,bind([[_12141, _12208, _12274, _12339], [4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), 6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])]]))).
% 242.94/235.40 cnf('1.1.1.1.1.2.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))), in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))))],extension(12,bind([[_12141, _12208, _12274, _12339], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])), cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ []))]]))).
% 242.94/235.40 cnf('1.1.1.1.1.2.1.1.1',plain,[-(in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))],reduction('1.1.1.1')).
% 242.94/235.40 cnf('1.1.1.1.1.2.2',plain,[-(in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))), cartesian_product2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))))],reduction('1.1.1.1')).
% 242.94/235.40 cnf('1.1.1.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])), cartesian_product2(6 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))), in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ []))],extension(2,bind([[_12141, _12274, _12208, _12339], [4 ^ [6 ^ [], 5 ^ []], 6 ^ [], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ [])]]))).
% 242.94/235.40 cnf('1.1.1.1.2.1',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 6 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(6 ^ [], 5 ^ []))],extension(6,bind([[_12141, _12208, _12274, _12339], [4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []], 6 ^ [], 5 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.1.2.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(6 ^ [], 5 ^ []))), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ [])), ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]) = ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ []) = cartesian_product2(6 ^ [], 5 ^ [])],extension(4,bind([[_7502, _7569, _7635, _7700], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], 5 ^ [])]]))).
% 242.94/235.40 cnf('1.1.1.1.2.1.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ [])))],reduction('1.1.1')).
% 242.94/235.40 cnf('1.1.1.1.2.1.1.2',plain,[-(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]) = ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]))],extension(13,bind([[_6275], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []])]]))).
% 242.94/235.40 cnf('1.1.1.1.2.1.1.3',plain,[-(cartesian_product2(5 ^ [], 6 ^ []) = cartesian_product2(6 ^ [], 5 ^ []))],extension(10)).
% 242.94/235.40 cnf('1.1.1.1.2.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [6 ^ []]), cartesian_product2(5 ^ [], 6 ^ [])))],reduction('1.1.1')).
% 242.94/235.40 cnf('1.1.1.2',plain,[-(in(1 ^ [6 ^ []], 6 ^ [])), -(6 ^ [] = empty_set)],extension(14,bind([[_11068], [6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.2.1',plain,[6 ^ [] = empty_set, -(empty_set = 6 ^ [])],extension(3,bind([[_6473, _6428], [empty_set, 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.2.1.1',plain,[empty_set = 6 ^ [], -(empty_set = 6 ^ []), 6 ^ [] = 6 ^ []],extension(7,bind([[_6707, _6763, _6818], [empty_set, 6 ^ [], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.2.1.1.1',plain,[empty_set = 6 ^ [], -(6 ^ [] = empty_set)],extension(3,bind([[_6473, _6428], [6 ^ [], empty_set]]))).
% 242.94/235.40 cnf('1.1.1.2.1.1.1.1',plain,[6 ^ [] = empty_set],extension(5)).
% 242.94/235.40 cnf('1.1.1.2.1.1.2',plain,[-(6 ^ [] = 6 ^ []), -(in(4 ^ [6 ^ [], 6 ^ []], 6 ^ [])), -(in(4 ^ [6 ^ [], 6 ^ []], 6 ^ []))],extension(1,bind([[_13100, _13156], [6 ^ [], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.2.1.1.2.1',plain,[in(4 ^ [6 ^ [], 6 ^ []], 6 ^ []), 6 ^ [] = empty_set],extension(9,bind([[_11174, _11068], [4 ^ [6 ^ [], 6 ^ []], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.1.2.1.1.2.1.1',plain,[-(6 ^ [] = empty_set)],reduction('1.1.1.2')).
% 242.94/235.40 cnf('1.1.1.2.1.1.2.2',plain,[in(4 ^ [6 ^ [], 6 ^ []], 6 ^ [])],lemmata('1.1.1.2.1.1.2')).
% 242.94/235.40 cnf('1.1.2',plain,[in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []), -(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ []))), in(1 ^ [5 ^ []], 5 ^ [])],extension(2,bind([[_12141, _12274, _12208, _12339], [4 ^ [6 ^ [], 5 ^ []], 6 ^ [], 1 ^ [5 ^ []], 5 ^ []]]))).
% 242.94/235.40 cnf('1.1.2.1',plain,[in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ [])), -(in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))],extension(2,bind([[_12141, _12274, _12208, _12339], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ []), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))]]))).
% 242.94/235.40 cnf('1.1.2.1.1',plain,[in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))), -(in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))))), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))],extension(2,bind([[_12141, _12274, _12208, _12339], [ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))]]))).
% 242.94/235.40 cnf('1.1.2.1.1.1',plain,[in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))), -(in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), 4 ^ [6 ^ [], 5 ^ []]), cartesian_product2(cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))), 5 ^ []))), in(4 ^ [6 ^ [], 5 ^ []], 5 ^ [])],extension(2,bind([[_12141, _12274, _12208, _12339], [ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))), 4 ^ [6 ^ [], 5 ^ []], 5 ^ []]]))).
% 242.94/235.40 cnf('1.1.2.1.1.1.1',plain,[in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), 4 ^ [6 ^ [], 5 ^ []]), cartesian_product2(cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))), 5 ^ [])), -(in(4 ^ [6 ^ [], 5 ^ []], 5 ^ []))],extension(12,bind([[_12141, _12274, _12208, _12339], [ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))), 4 ^ [6 ^ [], 5 ^ []], 5 ^ []]]))).
% 242.94/235.40 cnf('1.1.2.1.1.1.1.1',plain,[in(4 ^ [6 ^ [], 5 ^ []], 5 ^ []), -(5 ^ [] = 6 ^ []), in(4 ^ [6 ^ [], 5 ^ []], 6 ^ [])],extension(11,bind([[_13100, _13156], [5 ^ [], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.2.1.1.1.1.1.1',plain,[5 ^ [] = 6 ^ []],extension(8)).
% 242.94/235.40 cnf('1.1.2.1.1.1.1.1.2',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 6 ^ []))],reduction('1.1')).
% 242.94/235.40 cnf('1.1.2.1.1.1.2',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 5 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))],extension(6,bind([[_12141, _12208, _12274, _12339], [4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), 5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))]]))).
% 242.94/235.40 cnf('1.1.2.1.1.1.2.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))), in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))))],extension(12,bind([[_12141, _12208, _12274, _12339], [ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))]]))).
% 242.94/235.40 cnf('1.1.2.1.1.1.2.1.1',plain,[-(in(ordered_pair(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))))), cartesian_product2(cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))))],reduction('1.1.2.1.1')).
% 242.94/235.40 cnf('1.1.2.1.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])))), cartesian_product2(5 ^ [], cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))), in(4 ^ [6 ^ [], 5 ^ []], 5 ^ []), in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))],extension(2,bind([[_12141, _12274, _12208, _12339], [4 ^ [6 ^ [], 5 ^ []], 5 ^ [], ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))]]))).
% 242.94/235.40 cnf('1.1.2.1.1.2.1',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 5 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))],extension(6,bind([[_12141, _12208, _12274, _12339], [4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), 5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])]]))).
% 242.94/235.40 cnf('1.1.2.1.1.2.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))), in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))))],extension(12,bind([[_12141, _12208, _12274, _12339], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])), cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ []))]]))).
% 242.94/235.40 cnf('1.1.2.1.1.2.1.1.1',plain,[-(in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))],reduction('1.1.2.1')).
% 242.94/235.40 cnf('1.1.2.1.1.2.2',plain,[-(in(ordered_pair(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))), cartesian_product2(cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))))],reduction('1.1.2.1')).
% 242.94/235.40 cnf('1.1.2.1.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])), cartesian_product2(5 ^ [], cartesian_product2(6 ^ [], 5 ^ [])))), in(4 ^ [6 ^ [], 5 ^ []], 5 ^ []), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ []))],extension(2,bind([[_12141, _12274, _12208, _12339], [4 ^ [6 ^ [], 5 ^ []], 5 ^ [], ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ [])]]))).
% 242.94/235.40 cnf('1.1.2.1.2.1',plain,[-(in(4 ^ [6 ^ [], 5 ^ []], 5 ^ [])), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(5 ^ [], 6 ^ []))],extension(6,bind([[_12141, _12208, _12274, _12339], [4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []], 5 ^ [], 6 ^ []]]))).
% 242.94/235.40 cnf('1.1.2.1.2.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(5 ^ [], 6 ^ []))), in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ [])), ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]) = ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ []) = cartesian_product2(5 ^ [], 6 ^ [])],extension(4,bind([[_7502, _7569, _7635, _7700], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ []), cartesian_product2(5 ^ [], 6 ^ [])]]))).
% 242.94/235.40 cnf('1.1.2.1.2.1.1.1',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 242.94/235.40 cnf('1.1.2.1.2.1.1.2',plain,[-(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]) = ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]))],extension(13,bind([[_6275], [ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []])]]))).
% 242.94/235.40 cnf('1.1.2.1.2.1.1.3',plain,[-(cartesian_product2(6 ^ [], 5 ^ []) = cartesian_product2(5 ^ [], 6 ^ [])), cartesian_product2(5 ^ [], 6 ^ []) = cartesian_product2(6 ^ [], 5 ^ [])],extension(3,bind([[_6428, _6473], [cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(6 ^ [], 5 ^ [])]]))).
% 242.94/235.40 cnf('1.1.2.1.2.1.1.3.1',plain,[-(cartesian_product2(5 ^ [], 6 ^ []) = cartesian_product2(6 ^ [], 5 ^ []))],extension(10)).
% 242.94/235.40 cnf('1.1.2.1.2.2',plain,[-(in(ordered_pair(4 ^ [6 ^ [], 5 ^ []], 1 ^ [5 ^ []]), cartesian_product2(6 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 242.94/235.40 cnf('1.1.2.2',plain,[-(in(1 ^ [5 ^ []], 5 ^ [])), -(5 ^ [] = empty_set)],extension(14,bind([[_11068], [5 ^ []]]))).
% 242.94/235.40 cnf('1.1.2.2.1',plain,[5 ^ [] = empty_set],extension(15)).
% 242.94/235.40 %-----------------------------------------------------
% 242.94/235.40
% 242.94/235.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------