TSTP Solution File: SEU166+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU166+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 12:00:40 EDT 2022
% Result : Theorem 30.48s 30.36s
% Output : Proof 30.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEU166+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 23:40:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 30.48/30.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.48/30.37 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.48/30.37
% 30.48/30.37 %-----------------------------------------------------
% 30.48/30.37 fof(d3_tarski, axiom, ! [_39815, _39818] : (subset(_39815, _39818) <=> ! [_39836] : (in(_39836, _39815) => in(_39836, _39818))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 30.48/30.37 fof(d2_zfmisc_1, axiom, ! [_40036, _40039, _40042] : (_40042 = cartesian_product2(_40036, _40039) <=> ! [_40063] : (in(_40063, _40042) <=> ? [_40081, _40084] : (in(_40081, _40036) & in(_40084, _40039) & _40063 = ordered_pair(_40081, _40084)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_zfmisc_1)).
% 30.48/30.37 fof(t118_zfmisc_1, conjecture, ! [_40420, _40423, _40426] : (subset(_40420, _40423) => subset(cartesian_product2(_40420, _40426), cartesian_product2(_40423, _40426)) & subset(cartesian_product2(_40426, _40420), cartesian_product2(_40426, _40423))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t118_zfmisc_1)).
% 30.48/30.37
% 30.48/30.37 cnf(1, plain, [-(11 ^ [_12936, _12880]), in(10 ^ [_12936, _12880], _12936)], clausify(d3_tarski)).
% 30.48/30.37 cnf(2, plain, [-(11 ^ [_12936, _12880]), -(in(10 ^ [_12936, _12880], _12880))], clausify(d3_tarski)).
% 30.48/30.37 cnf(3, plain, [-(3 ^ [_12213, _12030, _11942, _11853]), -(_12213 = ordered_pair(1 ^ [_12213, _12030, _11942, _11853], 2 ^ [_12213, _12030, _11942, _11853]))], clausify(d2_zfmisc_1)).
% 30.48/30.37 cnf(4, plain, [-(3 ^ [_12213, _12030, _11942, _11853]), -(in(2 ^ [_12213, _12030, _11942, _11853], _11942))], clausify(d2_zfmisc_1)).
% 30.48/30.37 cnf(5, plain, [-(3 ^ [_12213, _12030, _11942, _11853]), -(in(1 ^ [_12213, _12030, _11942, _11853], _11853))], clausify(d2_zfmisc_1)).
% 30.48/30.37 cnf(6, plain, [-(4 ^ [_12030, _11942, _11853]), -(in(_12213, _12030)), in(_12350, _11853), in(_12421, _11942), _12213 = ordered_pair(_12350, _12421)], clausify(d2_zfmisc_1)).
% 30.48/30.37 cnf(7, plain, [-(4 ^ [_12030, _11942, _11853]), in(_12213, _12030), 3 ^ [_12213, _12030, _11942, _11853]], clausify(d2_zfmisc_1)).
% 30.48/30.37 cnf(8, plain, [-(subset(14 ^ [], 15 ^ []))], clausify(t118_zfmisc_1)).
% 30.48/30.37 cnf(9, plain, [subset(cartesian_product2(14 ^ [], 16 ^ []), cartesian_product2(15 ^ [], 16 ^ [])), subset(cartesian_product2(16 ^ [], 14 ^ []), cartesian_product2(16 ^ [], 15 ^ []))], clausify(t118_zfmisc_1)).
% 30.48/30.37 cnf(10, plain, [-(subset(_12880, _12936)), 11 ^ [_12936, _12880]], clausify(d3_tarski)).
% 30.48/30.37 cnf(11, plain, [subset(_12880, _12936), in(_13050, _12880), -(in(_13050, _12936))], clausify(d3_tarski)).
% 30.48/30.37 cnf(12, plain, [_12030 = cartesian_product2(_11853, _11942), 4 ^ [_12030, _11942, _11853]], clausify(d2_zfmisc_1)).
% 30.48/30.37 cnf(13, plain, [-(cartesian_product2(_8941, _9074) = cartesian_product2(_9008, _9139)), _8941 = _9008, _9074 = _9139], theory(equality)).
% 30.48/30.37 cnf(14, plain, [-(_6421 = _6421)], theory(equality)).
% 30.48/30.37
% 30.48/30.37 cnf('1',plain,[subset(cartesian_product2(14 ^ [], 16 ^ []), cartesian_product2(15 ^ [], 16 ^ [])), subset(cartesian_product2(16 ^ [], 14 ^ []), cartesian_product2(16 ^ [], 15 ^ []))],start(9)).
% 30.48/30.37 cnf('1.1',plain,[-(subset(cartesian_product2(14 ^ [], 16 ^ []), cartesian_product2(15 ^ [], 16 ^ []))), 11 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])]],extension(10,bind([[_12936, _12880], [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])]]))).
% 30.48/30.37 cnf('1.1.1',plain,[-(11 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])]), -(in(10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ [])))],extension(2,bind([[_12936, _12880], [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])]]))).
% 30.48/30.37 cnf('1.1.1.1',plain,[in(10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ [])), -(4 ^ [cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]), 3 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]],extension(7,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.1',plain,[4 ^ [cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], cartesian_product2(14 ^ [], 16 ^ []) = cartesian_product2(14 ^ [], 16 ^ [])],extension(12,bind([[_12030, _11853, _11942], [cartesian_product2(14 ^ [], 16 ^ []), 14 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.1.1',plain,[-(cartesian_product2(14 ^ [], 16 ^ []) = cartesian_product2(14 ^ [], 16 ^ [])), 14 ^ [] = 14 ^ [], 16 ^ [] = 16 ^ []],extension(13,bind([[_8941, _9008, _9074, _9139], [14 ^ [], 14 ^ [], 16 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.1.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(14,bind([[_6421], [14 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.1.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(14,bind([[_6421], [16 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.2',plain,[-(3 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]), -(in(2 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 16 ^ []))],extension(4,bind([[_12213, _12030, _11853, _11942], [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 14 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1',plain,[in(2 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 16 ^ []), -(4 ^ [cartesian_product2(15 ^ [], 16 ^ []), 16 ^ [], 15 ^ []]), -(in(10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(15 ^ [], 16 ^ []))), in(1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 15 ^ []), 10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])] = ordered_pair(1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 2 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []])],extension(6,bind([[_11942, _12030, _11853, _12213, _12350, _12421], [16 ^ [], cartesian_product2(15 ^ [], 16 ^ []), 15 ^ [], 10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], 1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 2 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.1',plain,[4 ^ [cartesian_product2(15 ^ [], 16 ^ []), 16 ^ [], 15 ^ []], cartesian_product2(15 ^ [], 16 ^ []) = cartesian_product2(15 ^ [], 16 ^ [])],extension(12,bind([[_12030, _11853, _11942], [cartesian_product2(15 ^ [], 16 ^ []), 15 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.1.1',plain,[-(cartesian_product2(15 ^ [], 16 ^ []) = cartesian_product2(15 ^ [], 16 ^ []))],extension(14,bind([[_6421], [cartesian_product2(15 ^ [], 16 ^ [])]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.2',plain,[in(10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(15 ^ [], 16 ^ [])), -(11 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])])],extension(1,bind([[_12936, _12880], [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.2.1',plain,[11 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])]],reduction('1.1')).
% 30.48/30.37 cnf('1.1.1.1.2.1.3',plain,[-(in(1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 15 ^ [])), subset(14 ^ [], 15 ^ []), in(1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 14 ^ [])],extension(11,bind([[_12936, _13050, _12880], [15 ^ [], 1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 14 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.3.1',plain,[-(subset(14 ^ [], 15 ^ []))],extension(8)).
% 30.48/30.37 cnf('1.1.1.1.2.1.3.2',plain,[-(in(1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 14 ^ [])), -(3 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []])],extension(5,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.3.2.1',plain,[3 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]],reduction('1.1.1.1')).
% 30.48/30.37 cnf('1.1.1.1.2.1.4',plain,[-(10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])] = ordered_pair(1 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], 2 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []])), -(3 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []])],extension(3,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]]))).
% 30.48/30.37 cnf('1.1.1.1.2.1.4.1',plain,[3 ^ [10 ^ [cartesian_product2(15 ^ [], 16 ^ []), cartesian_product2(14 ^ [], 16 ^ [])], cartesian_product2(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]],reduction('1.1.1.1')).
% 30.48/30.37 cnf('1.2',plain,[-(subset(cartesian_product2(16 ^ [], 14 ^ []), cartesian_product2(16 ^ [], 15 ^ []))), 11 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])]],extension(10,bind([[_12936, _12880], [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])]]))).
% 30.48/30.37 cnf('1.2.1',plain,[-(11 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])]), -(in(10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ [])))],extension(2,bind([[_12936, _12880], [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])]]))).
% 30.48/30.37 cnf('1.2.1.1',plain,[in(10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ [])), -(4 ^ [cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]), 3 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]],extension(7,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.1',plain,[4 ^ [cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], cartesian_product2(16 ^ [], 14 ^ []) = cartesian_product2(16 ^ [], 14 ^ [])],extension(12,bind([[_12030, _11853, _11942], [cartesian_product2(16 ^ [], 14 ^ []), 16 ^ [], 14 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.1.1',plain,[-(cartesian_product2(16 ^ [], 14 ^ []) = cartesian_product2(16 ^ [], 14 ^ [])), 16 ^ [] = 16 ^ [], 14 ^ [] = 14 ^ []],extension(13,bind([[_8941, _9008, _9074, _9139], [16 ^ [], 16 ^ [], 14 ^ [], 14 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.1.1.1',plain,[-(16 ^ [] = 16 ^ [])],extension(14,bind([[_6421], [16 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.1.1.2',plain,[-(14 ^ [] = 14 ^ [])],extension(14,bind([[_6421], [14 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.2',plain,[-(3 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]), -(in(1 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 16 ^ []))],extension(5,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1',plain,[in(1 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 16 ^ []), -(4 ^ [cartesian_product2(16 ^ [], 15 ^ []), 15 ^ [], 16 ^ []]), -(in(10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 15 ^ []))), in(2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 15 ^ []), 10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])] = ordered_pair(1 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []])],extension(6,bind([[_11853, _12030, _11942, _12213, _12350, _12421], [16 ^ [], cartesian_product2(16 ^ [], 15 ^ []), 15 ^ [], 10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], 1 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.1',plain,[4 ^ [cartesian_product2(16 ^ [], 15 ^ []), 15 ^ [], 16 ^ []], cartesian_product2(16 ^ [], 15 ^ []) = cartesian_product2(16 ^ [], 15 ^ [])],extension(12,bind([[_12030, _11853, _11942], [cartesian_product2(16 ^ [], 15 ^ []), 16 ^ [], 15 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.1.1',plain,[-(cartesian_product2(16 ^ [], 15 ^ []) = cartesian_product2(16 ^ [], 15 ^ []))],extension(14,bind([[_6421], [cartesian_product2(16 ^ [], 15 ^ [])]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.2',plain,[in(10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 15 ^ [])), -(11 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])])],extension(1,bind([[_12936, _12880], [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.2.1',plain,[11 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])]],reduction('1.2')).
% 30.48/30.37 cnf('1.2.1.1.2.1.3',plain,[-(in(2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 15 ^ [])), subset(14 ^ [], 15 ^ []), in(2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 14 ^ [])],extension(11,bind([[_12936, _13050, _12880], [15 ^ [], 2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 14 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.3.1',plain,[-(subset(14 ^ [], 15 ^ []))],extension(8)).
% 30.48/30.37 cnf('1.2.1.1.2.1.3.2',plain,[-(in(2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 14 ^ [])), -(3 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []])],extension(4,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.3.2.1',plain,[3 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]],reduction('1.2.1.1')).
% 30.48/30.37 cnf('1.2.1.1.2.1.4',plain,[-(10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])] = ordered_pair(1 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []], 2 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []])), -(3 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []])],extension(3,bind([[_12213, _12030, _11942, _11853], [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]]))).
% 30.48/30.37 cnf('1.2.1.1.2.1.4.1',plain,[3 ^ [10 ^ [cartesian_product2(16 ^ [], 15 ^ []), cartesian_product2(16 ^ [], 14 ^ [])], cartesian_product2(16 ^ [], 14 ^ []), 14 ^ [], 16 ^ []]],reduction('1.2.1.1')).
% 30.48/30.37 %-----------------------------------------------------
% 30.48/30.38
% 30.51/30.38 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------