TSTP Solution File: SET957+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET957+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 02:57:20 EDT 2022
% Result : Theorem 31.80s 31.48s
% Output : Proof 31.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET957+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jul 10 07:50:10 EDT 2022
% 0.15/0.35 % CPUTime :
% 31.80/31.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.80/31.49 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.80/31.50
% 31.80/31.50 %-----------------------------------------------------
% 31.80/31.50 fof(t2_tarski, axiom, ! [_39480, _39483] : (! [_39491] : (in(_39491, _39480) <=> in(_39491, _39483)) => _39480 = _39483), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_tarski)).
% 31.80/31.50 fof(t103_zfmisc_1, axiom, ! [_39713, _39716, _39719, _39722] : ~ (subset(_39713, cartesian_product2(_39716, _39719)) & in(_39722, _39713) & ! [_39759, _39762] : ~ (in(_39759, _39716) & in(_39762, _39719) & _39722 = ordered_pair(_39759, _39762))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t103_zfmisc_1)).
% 31.80/31.50 fof(t110_zfmisc_1, conjecture, ! [_40050, _40053, _40056, _40059, _40062, _40065] : (subset(_40050, cartesian_product2(_40053, _40056)) & subset(_40059, cartesian_product2(_40062, _40065)) & ! [_40107, _40110] : (in(ordered_pair(_40107, _40110), _40050) <=> in(ordered_pair(_40107, _40110), _40059)) => _40050 = _40059), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t110_zfmisc_1)).
% 31.80/31.50
% 31.80/31.50 cnf(1, plain, [-(8 ^ [_14521, _14465]), in(6 ^ [_14521, _14465], _14465)], clausify(t2_tarski)).
% 31.80/31.50 cnf(2, plain, [-(8 ^ [_14521, _14465]), -(in(6 ^ [_14521, _14465], _14521))], clausify(t2_tarski)).
% 31.80/31.50 cnf(3, plain, [-(7 ^ [_14521, _14465]), in(6 ^ [_14521, _14465], _14521)], clausify(t2_tarski)).
% 31.80/31.50 cnf(4, plain, [-(7 ^ [_14521, _14465]), -(in(6 ^ [_14521, _14465], _14465))], clausify(t2_tarski)).
% 31.80/31.50 cnf(5, plain, [-(5 ^ [_13665, _13574, _13482, _13389]), -(_13665 = ordered_pair(3 ^ [_13665, _13574, _13482, _13389], 4 ^ [_13665, _13574, _13482, _13389]))], clausify(t103_zfmisc_1)).
% 31.80/31.50 cnf(6, plain, [9 ^ [] = 12 ^ []], clausify(t110_zfmisc_1)).
% 31.80/31.50 cnf(7, plain, [-(subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])))], clausify(t110_zfmisc_1)).
% 31.80/31.50 cnf(8, plain, [-(subset(12 ^ [], cartesian_product2(13 ^ [], 14 ^ [])))], clausify(t110_zfmisc_1)).
% 31.80/31.50 cnf(9, plain, [in(ordered_pair(_18562, _18567), 9 ^ []), -(in(ordered_pair(_18562, _18567), 12 ^ []))], clausify(t110_zfmisc_1)).
% 31.80/31.50 cnf(10, plain, [-(in(ordered_pair(_18562, _18567), 9 ^ [])), in(ordered_pair(_18562, _18567), 12 ^ [])], clausify(t110_zfmisc_1)).
% 31.80/31.50 cnf(11, plain, [subset(_13389, cartesian_product2(_13482, _13574)), in(_13665, _13389), 5 ^ [_13665, _13574, _13482, _13389]], clausify(t103_zfmisc_1)).
% 31.80/31.50 cnf(12, plain, [-(_14465 = _14521), 7 ^ [_14521, _14465], 8 ^ [_14521, _14465]], clausify(t2_tarski)).
% 31.80/31.50 cnf(13, plain, [-(_6772 = _6772)], theory(equality)).
% 31.80/31.50 cnf(14, plain, [_6925 = _6970, -(_6970 = _6925)], theory(equality)).
% 31.80/31.50 cnf(15, plain, [-(in(_8076, _8207)), in(_8009, _8142), _8009 = _8076, _8142 = _8207], theory(equality)).
% 31.80/31.50
% 31.80/31.50 cnf('1',plain,[9 ^ [] = 12 ^ []],start(6)).
% 31.80/31.50 cnf('1.1',plain,[-(9 ^ [] = 12 ^ []), 7 ^ [12 ^ [], 9 ^ []], 8 ^ [12 ^ [], 9 ^ []]],extension(12,bind([[_14521, _14465], [12 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1',plain,[-(7 ^ [12 ^ [], 9 ^ []]), -(in(6 ^ [12 ^ [], 9 ^ []], 9 ^ []))],extension(4,bind([[_14521, _14465], [12 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1',plain,[in(6 ^ [12 ^ [], 9 ^ []], 9 ^ []), subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])), 5 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]],extension(11,bind([[_13665, _13574, _13482, _13389], [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.1',plain,[-(subset(9 ^ [], cartesian_product2(10 ^ [], 11 ^ [])))],extension(7)).
% 31.80/31.50 cnf('1.1.1.1.2',plain,[-(5 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), -(6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]))],extension(5,bind([[_13665, _13574, _13482, _13389], [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1',plain,[6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), -(in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), 9 ^ [])), in(6 ^ [12 ^ [], 9 ^ []], 9 ^ []), 9 ^ [] = 9 ^ []],extension(15,bind([[_8076, _8009, _8142, _8207], [ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), 6 ^ [12 ^ [], 9 ^ []], 9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.1',plain,[in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), 9 ^ []), -(in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), 12 ^ []))],extension(9,bind([[_18562, _18567], [3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.1.1',plain,[in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), 12 ^ []), -(in(6 ^ [12 ^ [], 9 ^ []], 12 ^ [])), ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]) = 6 ^ [12 ^ [], 9 ^ []], 12 ^ [] = 12 ^ []],extension(15,bind([[_8009, _8076, _8142, _8207], [ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]), 6 ^ [12 ^ [], 9 ^ []], 12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.1.1.1',plain,[in(6 ^ [12 ^ [], 9 ^ []], 12 ^ []), -(7 ^ [12 ^ [], 9 ^ []])],extension(3,bind([[_14521, _14465], [12 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.1.1.1.1',plain,[7 ^ [12 ^ [], 9 ^ []]],reduction('1.1')).
% 31.80/31.50 cnf('1.1.1.1.2.1.1.1.2',plain,[-(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]) = 6 ^ [12 ^ [], 9 ^ []]), 6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []])],extension(14,bind([[_6925, _6970], [6 ^ [12 ^ [], 9 ^ []], ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []])]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.1.1.2.1',plain,[-(6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 11 ^ [], 10 ^ [], 9 ^ []]))],reduction('1.1.1.1.2')).
% 31.80/31.50 cnf('1.1.1.1.2.1.1.1.3',plain,[-(12 ^ [] = 12 ^ [])],extension(13,bind([[_6772], [12 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.2',plain,[-(in(6 ^ [12 ^ [], 9 ^ []], 9 ^ []))],reduction('1.1.1')).
% 31.80/31.50 cnf('1.1.1.1.2.1.3',plain,[-(9 ^ [] = 9 ^ []), 7 ^ [9 ^ [], 9 ^ []], 8 ^ [9 ^ [], 9 ^ []]],extension(12,bind([[_14521, _14465], [9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.3.1',plain,[-(7 ^ [9 ^ [], 9 ^ []]), in(6 ^ [9 ^ [], 9 ^ []], 9 ^ [])],extension(3,bind([[_14465, _14521], [9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.3.1.1',plain,[-(in(6 ^ [9 ^ [], 9 ^ []], 9 ^ [])), -(7 ^ [9 ^ [], 9 ^ []])],extension(4,bind([[_14521, _14465], [9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.3.1.1.1',plain,[7 ^ [9 ^ [], 9 ^ []]],reduction('1.1.1.1.2.1.3')).
% 31.80/31.50 cnf('1.1.1.1.2.1.3.2',plain,[-(8 ^ [9 ^ [], 9 ^ []]), in(6 ^ [9 ^ [], 9 ^ []], 9 ^ [])],extension(1,bind([[_14521, _14465], [9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.3.2.1',plain,[-(in(6 ^ [9 ^ [], 9 ^ []], 9 ^ [])), -(8 ^ [9 ^ [], 9 ^ []])],extension(2,bind([[_14521, _14465], [9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.1.1.2.1.3.2.1.1',plain,[8 ^ [9 ^ [], 9 ^ []]],reduction('1.1.1.1.2.1.3')).
% 31.80/31.50 cnf('1.1.2',plain,[-(8 ^ [12 ^ [], 9 ^ []]), -(in(6 ^ [12 ^ [], 9 ^ []], 12 ^ []))],extension(2,bind([[_14465, _14521], [9 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1',plain,[in(6 ^ [12 ^ [], 9 ^ []], 12 ^ []), subset(12 ^ [], cartesian_product2(13 ^ [], 14 ^ [])), 5 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]],extension(11,bind([[_13665, _13574, _13482, _13389], [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.1',plain,[-(subset(12 ^ [], cartesian_product2(13 ^ [], 14 ^ [])))],extension(8)).
% 31.80/31.50 cnf('1.1.2.1.2',plain,[-(5 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), -(6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]))],extension(5,bind([[_13665, _13574, _13482, _13389], [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1',plain,[6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), -(in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), 12 ^ [])), in(6 ^ [12 ^ [], 9 ^ []], 12 ^ []), 12 ^ [] = 12 ^ []],extension(15,bind([[_8076, _8009, _8142, _8207], [ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), 6 ^ [12 ^ [], 9 ^ []], 12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.1',plain,[in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), 12 ^ []), -(in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), 9 ^ []))],extension(10,bind([[_18562, _18567], [3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.1.1',plain,[in(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), 9 ^ []), -(in(6 ^ [12 ^ [], 9 ^ []], 9 ^ [])), ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]) = 6 ^ [12 ^ [], 9 ^ []], 9 ^ [] = 9 ^ []],extension(15,bind([[_8009, _8076, _8142, _8207], [ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]), 6 ^ [12 ^ [], 9 ^ []], 9 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.1.1.1',plain,[in(6 ^ [12 ^ [], 9 ^ []], 9 ^ []), -(8 ^ [12 ^ [], 9 ^ []])],extension(1,bind([[_14521, _14465], [12 ^ [], 9 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.1.1.1.1',plain,[8 ^ [12 ^ [], 9 ^ []]],reduction('1.1')).
% 31.80/31.50 cnf('1.1.2.1.2.1.1.1.2',plain,[-(ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]) = 6 ^ [12 ^ [], 9 ^ []]), 6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []])],extension(14,bind([[_6925, _6970], [6 ^ [12 ^ [], 9 ^ []], ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []])]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.1.1.2.1',plain,[-(6 ^ [12 ^ [], 9 ^ []] = ordered_pair(3 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []], 4 ^ [6 ^ [12 ^ [], 9 ^ []], 14 ^ [], 13 ^ [], 12 ^ []]))],reduction('1.1.2.1.2')).
% 31.80/31.50 cnf('1.1.2.1.2.1.1.1.3',plain,[-(9 ^ [] = 9 ^ [])],extension(13,bind([[_6772], [9 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.2',plain,[-(in(6 ^ [12 ^ [], 9 ^ []], 12 ^ []))],reduction('1.1.2')).
% 31.80/31.50 cnf('1.1.2.1.2.1.3',plain,[-(12 ^ [] = 12 ^ []), 7 ^ [12 ^ [], 12 ^ []], 8 ^ [12 ^ [], 12 ^ []]],extension(12,bind([[_14521, _14465], [12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.3.1',plain,[-(7 ^ [12 ^ [], 12 ^ []]), in(6 ^ [12 ^ [], 12 ^ []], 12 ^ [])],extension(3,bind([[_14465, _14521], [12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.3.1.1',plain,[-(in(6 ^ [12 ^ [], 12 ^ []], 12 ^ [])), -(7 ^ [12 ^ [], 12 ^ []])],extension(4,bind([[_14521, _14465], [12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.3.1.1.1',plain,[7 ^ [12 ^ [], 12 ^ []]],reduction('1.1.2.1.2.1.3')).
% 31.80/31.50 cnf('1.1.2.1.2.1.3.2',plain,[-(8 ^ [12 ^ [], 12 ^ []]), in(6 ^ [12 ^ [], 12 ^ []], 12 ^ [])],extension(1,bind([[_14521, _14465], [12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.3.2.1',plain,[-(in(6 ^ [12 ^ [], 12 ^ []], 12 ^ [])), -(8 ^ [12 ^ [], 12 ^ []])],extension(2,bind([[_14521, _14465], [12 ^ [], 12 ^ []]]))).
% 31.80/31.50 cnf('1.1.2.1.2.1.3.2.1.1',plain,[8 ^ [12 ^ [], 12 ^ []]],reduction('1.1.2.1.2.1.3')).
% 31.80/31.50 %-----------------------------------------------------
% 31.80/31.50
% 31.80/31.50 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------