TSTP Solution File: SEU281+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 12:01:40 EDT 2022
% Result : Theorem 144.52s 139.92s
% Output : Proof 144.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 02:09:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 144.52/139.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.55/139.92 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.55/139.93
% 144.55/139.93 %-----------------------------------------------------
% 144.55/139.93 fof(s1_xboole_0__e16_22__wellord2__1, conjecture, ! [_46870, _46873] : ? [_46881] : ! [_46889] : (in(_46889, _46881) <=> in(_46889, cartesian_product2(_46870, _46873)) & ? [_46924, _46927] : (ordered_pair(_46924, _46927) = _46889 & in(_46924, _46870) & _46927 = singleton(_46924))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 fof(s1_tarski__e16_22__wellord2__2, axiom, ! [_47300, _47303] : (! [_47311, _47314, _47317] : (_47311 = _47314 & ? [_47331, _47334] : (ordered_pair(_47331, _47334) = _47314 & in(_47331, _47300) & _47334 = singleton(_47331)) & _47311 = _47317 & ? [_47381, _47384] : (ordered_pair(_47381, _47384) = _47317 & in(_47381, _47300) & _47384 = singleton(_47381)) => _47314 = _47317) => ? [_47311] : ! [_47314] : (in(_47314, _47311) <=> ? [_47317] : (in(_47317, cartesian_product2(_47300, _47303)) & _47317 = _47314 & ? [_47485, _47488] : (ordered_pair(_47485, _47488) = _47314 & in(_47485, _47300) & _47488 = singleton(_47485))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93
% 144.55/139.93 cnf(1, plain, [-(27 ^ [_24215]), in(23 ^ [_24215], _24215)], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(2, plain, [-(27 ^ [_24215]), -(26 ^ [_24215] = singleton(25 ^ [_24215]))], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(3, plain, [-(27 ^ [_24215]), -(in(25 ^ [_24215], 21 ^ []))], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(4, plain, [-(27 ^ [_24215]), -(ordered_pair(25 ^ [_24215], 26 ^ [_24215]) = 23 ^ [_24215])], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(5, plain, [-(27 ^ [_24215]), -(in(23 ^ [_24215], cartesian_product2(21 ^ [], 22 ^ [])))], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(6, plain, [-(24 ^ [_24215]), in(23 ^ [_24215], cartesian_product2(21 ^ [], 22 ^ [])), ordered_pair(_24307, _24312) = 23 ^ [_24215], in(_24307, 21 ^ []), _24312 = singleton(_24307)], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(7, plain, [-(24 ^ [_24215]), -(in(23 ^ [_24215], _24215))], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(8, plain, [-(19 ^ [_23562, _16972, _16771]), -(18 ^ [_23562, _16972, _16771] = singleton(17 ^ [_23562, _16972, _16771]))], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(9, plain, [-(19 ^ [_23562, _16972, _16771]), -(in(17 ^ [_23562, _16972, _16771], _16771))], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(10, plain, [-(19 ^ [_23562, _16972, _16771]), -(ordered_pair(17 ^ [_23562, _16972, _16771], 18 ^ [_23562, _16972, _16771]) = _23562)], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(11, plain, [-(19 ^ [_23562, _16972, _16771]), -(16 ^ [_23562, _16972, _16771] = _23562)], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(12, plain, [-(19 ^ [_23562, _16972, _16771]), -(in(16 ^ [_23562, _16972, _16771], cartesian_product2(_16771, _16972)))], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(13, plain, [-(20 ^ [_16972, _16771]), -(in(_23562, 15 ^ [_16972, _16771])), in(_23573, cartesian_product2(_16771, _16972)), _23573 = _23562, ordered_pair(_23593, _23598) = _23562, in(_23593, _16771), _23598 = singleton(_23593)], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(14, plain, [-(20 ^ [_16972, _16771]), in(_23562, 15 ^ [_16972, _16771]), 19 ^ [_23562, _16972, _16771]], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(15, plain, [-(14 ^ [_16972, _16771]), 8 ^ [_16972, _16771] = 9 ^ [_16972, _16771]], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(16, plain, [-(14 ^ [_16972, _16771]), -(7 ^ [_16972, _16771] = 9 ^ [_16972, _16771])], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(17, plain, [-(14 ^ [_16972, _16771]), -(7 ^ [_16972, _16771] = 8 ^ [_16972, _16771])], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(18, plain, [27 ^ [_24215], 24 ^ [_24215]], clausify(s1_xboole_0__e16_22__wellord2__1)).
% 144.55/139.93 cnf(19, plain, [14 ^ [_16972, _16771], 20 ^ [_16972, _16771]], clausify(s1_tarski__e16_22__wellord2__2)).
% 144.55/139.93 cnf(20, plain, [-(cartesian_product2(_12145, _12278) = cartesian_product2(_12212, _12343)), _12145 = _12212, _12278 = _12343], theory(equality)).
% 144.55/139.93 cnf(21, plain, [-(_8888 = _8888)], theory(equality)).
% 144.55/139.93 cnf(22, plain, [_9041 = _9086, -(_9086 = _9041)], theory(equality)).
% 144.55/139.93 cnf(23, plain, [-(_9320 = _9431), _9320 = _9376, _9376 = _9431], theory(equality)).
% 144.55/139.93 cnf(24, plain, [-(in(_11179, _11310)), in(_11112, _11245), _11112 = _11179, _11245 = _11310], theory(equality)).
% 144.55/139.93
% 144.55/139.93 cnf('1',plain,[14 ^ [22 ^ [], 21 ^ []], 20 ^ [22 ^ [], 21 ^ []]],start(19,bind([[_16972, _16771], [22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.1',plain,[-(14 ^ [22 ^ [], 21 ^ []]), -(7 ^ [22 ^ [], 21 ^ []] = 9 ^ [22 ^ [], 21 ^ []])],extension(16,bind([[_16972, _16771], [22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.1.1',plain,[7 ^ [22 ^ [], 21 ^ []] = 9 ^ [22 ^ [], 21 ^ []], -(9 ^ [22 ^ [], 21 ^ []] = 7 ^ [22 ^ [], 21 ^ []])],extension(22,bind([[_9086, _9041], [9 ^ [22 ^ [], 21 ^ []], 7 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.1.1.1',plain,[9 ^ [22 ^ [], 21 ^ []] = 7 ^ [22 ^ [], 21 ^ []], -(9 ^ [22 ^ [], 21 ^ []] = 8 ^ [22 ^ [], 21 ^ []]), 7 ^ [22 ^ [], 21 ^ []] = 8 ^ [22 ^ [], 21 ^ []]],extension(23,bind([[_9320, _9376, _9431], [9 ^ [22 ^ [], 21 ^ []], 7 ^ [22 ^ [], 21 ^ []], 8 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.1.1.1.1',plain,[9 ^ [22 ^ [], 21 ^ []] = 8 ^ [22 ^ [], 21 ^ []], -(8 ^ [22 ^ [], 21 ^ []] = 9 ^ [22 ^ [], 21 ^ []])],extension(22,bind([[_9086, _9041], [8 ^ [22 ^ [], 21 ^ []], 9 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.1.1.1.1.1',plain,[8 ^ [22 ^ [], 21 ^ []] = 9 ^ [22 ^ [], 21 ^ []], -(14 ^ [22 ^ [], 21 ^ []])],extension(15,bind([[_16972, _16771], [22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.1.1.1.1.1.1',plain,[14 ^ [22 ^ [], 21 ^ []]],reduction('1')).
% 144.55/139.93 cnf('1.1.1.1.2',plain,[-(7 ^ [22 ^ [], 21 ^ []] = 8 ^ [22 ^ [], 21 ^ []]), -(14 ^ [22 ^ [], 21 ^ []])],extension(17,bind([[_16972, _16771], [22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.1.1.1.2.1',plain,[14 ^ [22 ^ [], 21 ^ []]],reduction('1')).
% 144.55/139.93 cnf('1.2',plain,[-(20 ^ [22 ^ [], 21 ^ []]), in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], 15 ^ [22 ^ [], 21 ^ []]), 19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]],extension(14,bind([[_23562, _16972, _16771], [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.2.1',plain,[-(in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], 15 ^ [22 ^ [], 21 ^ []])), -(24 ^ [15 ^ [22 ^ [], 21 ^ []]])],extension(7,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.1.1',plain,[24 ^ [15 ^ [22 ^ [], 21 ^ []]], 27 ^ [15 ^ [22 ^ [], 21 ^ []]]],extension(18,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.1.1.1',plain,[-(27 ^ [15 ^ [22 ^ [], 21 ^ []]]), -(26 ^ [15 ^ [22 ^ [], 21 ^ []]] = singleton(25 ^ [15 ^ [22 ^ [], 21 ^ []]]))],extension(2,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.1.1.1.1',plain,[26 ^ [15 ^ [22 ^ [], 21 ^ []]] = singleton(25 ^ [15 ^ [22 ^ [], 21 ^ []]]), -(20 ^ [22 ^ [], 21 ^ []]), -(in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], 15 ^ [22 ^ [], 21 ^ []])), in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], cartesian_product2(21 ^ [], 22 ^ [])), 23 ^ [15 ^ [22 ^ [], 21 ^ []]] = 23 ^ [15 ^ [22 ^ [], 21 ^ []]], ordered_pair(25 ^ [15 ^ [22 ^ [], 21 ^ []]], 26 ^ [15 ^ [22 ^ [], 21 ^ []]]) = 23 ^ [15 ^ [22 ^ [], 21 ^ []]], in(25 ^ [15 ^ [22 ^ [], 21 ^ []]], 21 ^ [])],extension(13,bind([[_16972, _23573, _23598, _23562, _23593, _16771], [22 ^ [], 23 ^ [15 ^ [22 ^ [], 21 ^ []]], 26 ^ [15 ^ [22 ^ [], 21 ^ []]], 23 ^ [15 ^ [22 ^ [], 21 ^ []]], 25 ^ [15 ^ [22 ^ [], 21 ^ []]], 21 ^ []]]))).
% 144.55/139.93 cnf('1.2.1.1.1.1.1',plain,[20 ^ [22 ^ [], 21 ^ []]],reduction('1')).
% 144.55/139.93 cnf('1.2.1.1.1.1.2',plain,[in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], 15 ^ [22 ^ [], 21 ^ []])],reduction('1.2')).
% 144.55/139.93 cnf('1.2.1.1.1.1.3',plain,[-(in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], cartesian_product2(21 ^ [], 22 ^ []))), -(27 ^ [15 ^ [22 ^ [], 21 ^ []]])],extension(5,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.1.1.1.1.3.1',plain,[27 ^ [15 ^ [22 ^ [], 21 ^ []]]],reduction('1.2.1.1')).
% 144.55/139.93 cnf('1.2.1.1.1.1.4',plain,[-(23 ^ [15 ^ [22 ^ [], 21 ^ []]] = 23 ^ [15 ^ [22 ^ [], 21 ^ []]])],extension(21,bind([[_8888], [23 ^ [15 ^ [22 ^ [], 21 ^ []]]]]))).
% 144.55/139.93 cnf('1.2.1.1.1.1.5',plain,[-(ordered_pair(25 ^ [15 ^ [22 ^ [], 21 ^ []]], 26 ^ [15 ^ [22 ^ [], 21 ^ []]]) = 23 ^ [15 ^ [22 ^ [], 21 ^ []]]), -(27 ^ [15 ^ [22 ^ [], 21 ^ []]])],extension(4,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.1.1.1.1.5.1',plain,[27 ^ [15 ^ [22 ^ [], 21 ^ []]]],reduction('1.2.1.1')).
% 144.55/139.93 cnf('1.2.1.1.1.1.6',plain,[-(in(25 ^ [15 ^ [22 ^ [], 21 ^ []]], 21 ^ [])), -(27 ^ [15 ^ [22 ^ [], 21 ^ []]])],extension(3,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.1.1.1.1.6.1',plain,[27 ^ [15 ^ [22 ^ [], 21 ^ []]]],reduction('1.2.1.1')).
% 144.55/139.93 cnf('1.2.2',plain,[-(19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]), -(16 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []] = 23 ^ [15 ^ [22 ^ [], 21 ^ []]])],extension(11,bind([[_16972, _16771, _23562], [22 ^ [], 21 ^ [], 23 ^ [15 ^ [22 ^ [], 21 ^ []]]]]))).
% 144.55/139.93 cnf('1.2.2.1',plain,[16 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []] = 23 ^ [15 ^ [22 ^ [], 21 ^ []]], -(in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], cartesian_product2(21 ^ [], 22 ^ []))), in(16 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], cartesian_product2(21 ^ [], 22 ^ [])), cartesian_product2(21 ^ [], 22 ^ []) = cartesian_product2(21 ^ [], 22 ^ [])],extension(24,bind([[_11179, _11112, _11245, _11310], [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 16 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], cartesian_product2(21 ^ [], 22 ^ []), cartesian_product2(21 ^ [], 22 ^ [])]]))).
% 144.55/139.93 cnf('1.2.2.1.1',plain,[in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], cartesian_product2(21 ^ [], 22 ^ [])), -(24 ^ [15 ^ [22 ^ [], 21 ^ []]]), ordered_pair(17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], 18 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]) = 23 ^ [15 ^ [22 ^ [], 21 ^ []]], in(17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], 21 ^ []), 18 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []] = singleton(17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []])],extension(6,bind([[_24215, _24312, _24307], [15 ^ [22 ^ [], 21 ^ []], 18 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], 17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.2.1.1.1',plain,[24 ^ [15 ^ [22 ^ [], 21 ^ []]], 27 ^ [15 ^ [22 ^ [], 21 ^ []]]],extension(18,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.2.1.1.1.1',plain,[-(27 ^ [15 ^ [22 ^ [], 21 ^ []]]), in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], 15 ^ [22 ^ [], 21 ^ []])],extension(1,bind([[_24215], [15 ^ [22 ^ [], 21 ^ []]]]))).
% 144.55/139.93 cnf('1.2.2.1.1.1.1.1',plain,[-(in(23 ^ [15 ^ [22 ^ [], 21 ^ []]], 15 ^ [22 ^ [], 21 ^ []]))],lemmata('1.2')).
% 144.55/139.93 cnf('1.2.2.1.1.2',plain,[-(ordered_pair(17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], 18 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]) = 23 ^ [15 ^ [22 ^ [], 21 ^ []]]), -(19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []])],extension(10,bind([[_23562, _16972, _16771], [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.2.2.1.1.2.1',plain,[19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]],reduction('1.2')).
% 144.55/139.93 cnf('1.2.2.1.1.3',plain,[-(in(17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], 21 ^ [])), -(19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []])],extension(9,bind([[_23562, _16972, _16771], [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.2.2.1.1.3.1',plain,[19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]],reduction('1.2')).
% 144.55/139.93 cnf('1.2.2.1.1.4',plain,[-(18 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []] = singleton(17 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []])), -(19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []])],extension(8,bind([[_23562, _16972, _16771], [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.2.2.1.1.4.1',plain,[19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]],reduction('1.2')).
% 144.55/139.93 cnf('1.2.2.1.2',plain,[-(in(16 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []], cartesian_product2(21 ^ [], 22 ^ []))), -(19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []])],extension(12,bind([[_23562, _16972, _16771], [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]]))).
% 144.55/139.93 cnf('1.2.2.1.2.1',plain,[19 ^ [23 ^ [15 ^ [22 ^ [], 21 ^ []]], 22 ^ [], 21 ^ []]],reduction('1.2')).
% 144.55/139.93 cnf('1.2.2.1.3',plain,[-(cartesian_product2(21 ^ [], 22 ^ []) = cartesian_product2(21 ^ [], 22 ^ [])), 21 ^ [] = 21 ^ [], 22 ^ [] = 22 ^ []],extension(20,bind([[_12145, _12212, _12278, _12343], [21 ^ [], 21 ^ [], 22 ^ [], 22 ^ []]]))).
% 144.55/139.93 cnf('1.2.2.1.3.1',plain,[-(21 ^ [] = 21 ^ [])],extension(21,bind([[_8888], [21 ^ []]]))).
% 144.55/139.93 cnf('1.2.2.1.3.2',plain,[-(22 ^ [] = 22 ^ [])],extension(21,bind([[_8888], [22 ^ []]]))).
% 144.55/139.93 %-----------------------------------------------------
% 144.55/139.93
% 144.55/139.93 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------