TSTP Solution File: SEU277+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 12:01:38 EDT 2022
% Result : Theorem 33.84s 33.67s
% Output : Proof 33.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 19 21:11:37 EDT 2022
% 0.15/0.36 % CPUTime :
% 33.84/33.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.84/33.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.93/33.68
% 33.93/33.68 %-----------------------------------------------------
% 33.93/33.68 fof(s1_xboole_0__e6_21__wellord2__1, conjecture, ! [_57351, _57354, _57357] : (relation(_57354) & relation(_57357) & function(_57357) => ? [_57386] : ! [_57394] : (in(_57394, _57386) <=> in(_57394, cartesian_product2(_57351, _57351)) & ? [_57429, _57432] : (_57394 = ordered_pair(_57429, _57432) & in(ordered_pair(apply(_57357, _57429), apply(_57357, _57432)), _57354)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 fof(s1_tarski__e6_21__wellord2__1, axiom, ! [_57859, _57862, _57865] : (relation(_57862) & relation(_57865) & function(_57865) => ! [_57894, _57897, _57900] : (_57894 = _57897 & ? [_57914, _57917] : (_57897 = ordered_pair(_57914, _57917) & in(ordered_pair(apply(_57865, _57914), apply(_57865, _57917)), _57862)) & _57894 = _57900 & ? [_57975, _57978] : (_57900 = ordered_pair(_57975, _57978) & in(ordered_pair(apply(_57865, _57975), apply(_57865, _57978)), _57862)) => _57897 = _57900) => ? [_57894] : ! [_57897] : (in(_57897, _57894) <=> ? [_57900] : (in(_57900, cartesian_product2(_57859, _57859)) & _57900 = _57897 & ? [_58090, _58093] : (_57897 = ordered_pair(_58090, _58093) & in(ordered_pair(apply(_57865, _58090), apply(_57865, _58093)), _57862))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68
% 33.93/33.68 cnf(1, plain, [-(33 ^ [_31668]), in(29 ^ [_31668], _31668)], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(2, plain, [-(33 ^ [_31668]), -(in(ordered_pair(apply(28 ^ [], 31 ^ [_31668]), apply(28 ^ [], 32 ^ [_31668])), 27 ^ []))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(3, plain, [-(33 ^ [_31668]), -(29 ^ [_31668] = ordered_pair(31 ^ [_31668], 32 ^ [_31668]))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(4, plain, [-(33 ^ [_31668]), -(in(29 ^ [_31668], cartesian_product2(26 ^ [], 26 ^ [])))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(5, plain, [-(30 ^ [_31668]), in(29 ^ [_31668], cartesian_product2(26 ^ [], 26 ^ [])), 29 ^ [_31668] = ordered_pair(_31789, _31794), in(ordered_pair(apply(28 ^ [], _31789), apply(28 ^ [], _31794)), 27 ^ [])], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(6, plain, [-(30 ^ [_31668]), -(in(29 ^ [_31668], _31668))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(7, plain, [-(24 ^ [_30757, _22666, _22443, _22219]), -(in(ordered_pair(apply(_22666, 22 ^ [_30757, _22666, _22443, _22219]), apply(_22666, 23 ^ [_30757, _22666, _22443, _22219])), _22443))], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(8, plain, [-(24 ^ [_30757, _22666, _22443, _22219]), -(_30757 = ordered_pair(22 ^ [_30757, _22666, _22443, _22219], 23 ^ [_30757, _22666, _22443, _22219]))], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(9, plain, [-(24 ^ [_30757, _22666, _22443, _22219]), -(21 ^ [_30757, _22666, _22443, _22219] = _30757)], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(10, plain, [-(24 ^ [_30757, _22666, _22443, _22219]), -(in(21 ^ [_30757, _22666, _22443, _22219], cartesian_product2(_22219, _22219)))], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(11, plain, [-(25 ^ [_22666, _22443, _22219]), -(in(_30757, 20 ^ [_22666, _22443, _22219])), in(_30768, cartesian_product2(_22219, _22219)), _30768 = _30757, _30757 = ordered_pair(_30788, _30793), in(ordered_pair(apply(_22666, _30788), apply(_22666, _30793)), _22443)], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(12, plain, [-(25 ^ [_22666, _22443, _22219]), in(_30757, 20 ^ [_22666, _22443, _22219]), 24 ^ [_30757, _22666, _22443, _22219]], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(13, plain, [-(19 ^ [_22666, _22443, _22219]), 13 ^ [_22666, _22443, _22219] = 14 ^ [_22666, _22443, _22219]], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(14, plain, [-(19 ^ [_22666, _22443, _22219]), -(12 ^ [_22666, _22443, _22219] = 14 ^ [_22666, _22443, _22219])], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(15, plain, [-(19 ^ [_22666, _22443, _22219]), -(12 ^ [_22666, _22443, _22219] = 13 ^ [_22666, _22443, _22219])], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(16, plain, [-(relation(27 ^ []))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(17, plain, [-(relation(28 ^ []))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(18, plain, [-(function(28 ^ []))], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(19, plain, [33 ^ [_31668], 30 ^ [_31668]], clausify(s1_xboole_0__e6_21__wellord2__1)).
% 33.93/33.68 cnf(20, plain, [function(_22666), relation(_22666), relation(_22443), 19 ^ [_22666, _22443, _22219], 25 ^ [_22666, _22443, _22219]], clausify(s1_tarski__e6_21__wellord2__1)).
% 33.93/33.68 cnf(21, plain, [-(cartesian_product2(_16230, _16363) = cartesian_product2(_16297, _16428)), _16230 = _16297, _16363 = _16428], theory(equality)).
% 33.93/33.68 cnf(22, plain, [-(_11661 = _11661)], theory(equality)).
% 33.93/33.68 cnf(23, plain, [_11814 = _11859, -(_11859 = _11814)], theory(equality)).
% 33.93/33.68 cnf(24, plain, [-(_12093 = _12204), _12093 = _12149, _12149 = _12204], theory(equality)).
% 33.93/33.68 cnf(25, plain, [-(in(_13952, _14083)), in(_13885, _14018), _13885 = _13952, _14018 = _14083], theory(equality)).
% 33.93/33.68
% 33.93/33.68 cnf('1',plain,[-(relation(27 ^ []))],start(16)).
% 33.93/33.68 cnf('1.1',plain,[relation(27 ^ []), function(28 ^ []), relation(28 ^ []), 19 ^ [28 ^ [], 27 ^ [], 26 ^ []], 25 ^ [28 ^ [], 27 ^ [], 26 ^ []]],extension(20,bind([[_22666, _22443, _22219], [28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.1',plain,[-(function(28 ^ []))],extension(18)).
% 33.93/33.68 cnf('1.1.2',plain,[-(relation(28 ^ []))],extension(17)).
% 33.93/33.68 cnf('1.1.3',plain,[-(19 ^ [28 ^ [], 27 ^ [], 26 ^ []]), -(12 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 14 ^ [28 ^ [], 27 ^ [], 26 ^ []])],extension(14,bind([[_22666, _22443, _22219], [28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.3.1',plain,[12 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 14 ^ [28 ^ [], 27 ^ [], 26 ^ []], -(14 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 12 ^ [28 ^ [], 27 ^ [], 26 ^ []])],extension(23,bind([[_11859, _11814], [14 ^ [28 ^ [], 27 ^ [], 26 ^ []], 12 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.3.1.1',plain,[14 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 12 ^ [28 ^ [], 27 ^ [], 26 ^ []], -(14 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 13 ^ [28 ^ [], 27 ^ [], 26 ^ []]), 12 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 13 ^ [28 ^ [], 27 ^ [], 26 ^ []]],extension(24,bind([[_12093, _12149, _12204], [14 ^ [28 ^ [], 27 ^ [], 26 ^ []], 12 ^ [28 ^ [], 27 ^ [], 26 ^ []], 13 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.3.1.1.1',plain,[14 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 13 ^ [28 ^ [], 27 ^ [], 26 ^ []], -(13 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 14 ^ [28 ^ [], 27 ^ [], 26 ^ []])],extension(23,bind([[_11859, _11814], [13 ^ [28 ^ [], 27 ^ [], 26 ^ []], 14 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.3.1.1.1.1',plain,[13 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 14 ^ [28 ^ [], 27 ^ [], 26 ^ []], -(19 ^ [28 ^ [], 27 ^ [], 26 ^ []])],extension(13,bind([[_22666, _22443, _22219], [28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.3.1.1.1.1.1',plain,[19 ^ [28 ^ [], 27 ^ [], 26 ^ []]],reduction('1.1')).
% 33.93/33.68 cnf('1.1.3.1.1.2',plain,[-(12 ^ [28 ^ [], 27 ^ [], 26 ^ []] = 13 ^ [28 ^ [], 27 ^ [], 26 ^ []]), -(19 ^ [28 ^ [], 27 ^ [], 26 ^ []])],extension(15,bind([[_22666, _22443, _22219], [28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.3.1.1.2.1',plain,[19 ^ [28 ^ [], 27 ^ [], 26 ^ []]],reduction('1.1')).
% 33.93/33.68 cnf('1.1.4',plain,[-(25 ^ [28 ^ [], 27 ^ [], 26 ^ []]), in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 20 ^ [28 ^ [], 27 ^ [], 26 ^ []]), 24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]],extension(12,bind([[_30757, _22666, _22443, _22219], [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.4.1',plain,[-(in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 20 ^ [28 ^ [], 27 ^ [], 26 ^ []])), -(30 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])],extension(6,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.1.1',plain,[30 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]],extension(19,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.1.1.1',plain,[-(33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]), -(in(ordered_pair(apply(28 ^ [], 31 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]), apply(28 ^ [], 32 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])), 27 ^ []))],extension(2,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.1.1.1.1',plain,[in(ordered_pair(apply(28 ^ [], 31 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]), apply(28 ^ [], 32 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])), 27 ^ []), -(25 ^ [28 ^ [], 27 ^ [], 26 ^ []]), -(in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 20 ^ [28 ^ [], 27 ^ [], 26 ^ []])), in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], cartesian_product2(26 ^ [], 26 ^ [])), 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]] = 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]] = ordered_pair(31 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 32 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])],extension(11,bind([[_22666, _22443, _22219, _30768, _30757, _30788, _30793], [28 ^ [], 27 ^ [], 26 ^ [], 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 31 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 32 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]]))).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.1',plain,[25 ^ [28 ^ [], 27 ^ [], 26 ^ []]],reduction('1.1')).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.2',plain,[in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 20 ^ [28 ^ [], 27 ^ [], 26 ^ []])],reduction('1.1.4')).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.3',plain,[-(in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], cartesian_product2(26 ^ [], 26 ^ []))), -(33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])],extension(4,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.3.1',plain,[33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]],reduction('1.1.4.1.1')).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.4',plain,[-(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]] = 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])],extension(22,bind([[_11661], [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]]))).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.5',plain,[-(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]] = ordered_pair(31 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 32 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])), -(33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])],extension(3,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.1.1.1.1.5.1',plain,[33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]],reduction('1.1.4.1.1')).
% 33.93/33.68 cnf('1.1.4.2',plain,[-(24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]), -(21 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []] = 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]])],extension(9,bind([[_22666, _22443, _22219, _30757], [28 ^ [], 27 ^ [], 26 ^ [], 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]]))).
% 33.93/33.68 cnf('1.1.4.2.1',plain,[21 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []] = 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], -(in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], cartesian_product2(26 ^ [], 26 ^ []))), in(21 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []], cartesian_product2(26 ^ [], 26 ^ [])), cartesian_product2(26 ^ [], 26 ^ []) = cartesian_product2(26 ^ [], 26 ^ [])],extension(25,bind([[_13952, _13885, _14018, _14083], [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 21 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []], cartesian_product2(26 ^ [], 26 ^ []), cartesian_product2(26 ^ [], 26 ^ [])]]))).
% 33.93/33.68 cnf('1.1.4.2.1.1',plain,[in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], cartesian_product2(26 ^ [], 26 ^ [])), -(30 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]), 29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]] = ordered_pair(22 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []], 23 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]), in(ordered_pair(apply(28 ^ [], 22 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]), apply(28 ^ [], 23 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []])), 27 ^ [])],extension(5,bind([[_31668, _31789, _31794], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []], 22 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []], 23 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.2.1.1.1',plain,[30 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]],extension(19,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.2.1.1.1.1',plain,[-(33 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]), in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 20 ^ [28 ^ [], 27 ^ [], 26 ^ []])],extension(1,bind([[_31668], [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]]]))).
% 33.93/33.68 cnf('1.1.4.2.1.1.1.1.1',plain,[-(in(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 20 ^ [28 ^ [], 27 ^ [], 26 ^ []]))],lemmata('1.1.4')).
% 33.93/33.68 cnf('1.1.4.2.1.1.2',plain,[-(29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]] = ordered_pair(22 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []], 23 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []])), -(24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []])],extension(8,bind([[_30757, _22666, _22443, _22219], [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.4.2.1.1.2.1',plain,[24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]],reduction('1.1.4')).
% 33.93/33.68 cnf('1.1.4.2.1.1.3',plain,[-(in(ordered_pair(apply(28 ^ [], 22 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]), apply(28 ^ [], 23 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []])), 27 ^ [])), -(24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []])],extension(7,bind([[_30757, _22666, _22443, _22219], [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.4.2.1.1.3.1',plain,[24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]],reduction('1.1.4')).
% 33.93/33.68 cnf('1.1.4.2.1.2',plain,[-(in(21 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []], cartesian_product2(26 ^ [], 26 ^ []))), -(24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []])],extension(10,bind([[_30757, _22666, _22443, _22219], [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.4.2.1.2.1',plain,[24 ^ [29 ^ [20 ^ [28 ^ [], 27 ^ [], 26 ^ []]], 28 ^ [], 27 ^ [], 26 ^ []]],reduction('1.1.4')).
% 33.93/33.68 cnf('1.1.4.2.1.3',plain,[-(cartesian_product2(26 ^ [], 26 ^ []) = cartesian_product2(26 ^ [], 26 ^ [])), 26 ^ [] = 26 ^ [], 26 ^ [] = 26 ^ []],extension(21,bind([[_16230, _16297, _16363, _16428], [26 ^ [], 26 ^ [], 26 ^ [], 26 ^ []]]))).
% 33.93/33.68 cnf('1.1.4.2.1.3.1',plain,[-(26 ^ [] = 26 ^ [])],extension(22,bind([[_11661], [26 ^ []]]))).
% 33.93/33.68 cnf('1.1.4.2.1.3.2',plain,[-(26 ^ [] = 26 ^ [])],extension(22,bind([[_11661], [26 ^ []]]))).
% 33.93/33.68 %-----------------------------------------------------
% 33.93/33.69
% 33.93/33.69 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------