TSTP Solution File: SEU298+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 12:01:48 EDT 2022
% Result : Theorem 38.06s 37.72s
% Output : Proof 38.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 00:36:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 38.06/37.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.06/37.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.06/37.73
% 38.06/37.73 %-----------------------------------------------------
% 38.06/37.73 fof(s1_xboole_0__e4_27_3_1__finset_1, conjecture, ! [_74345, _74348] : (ordinal(_74345) & element(_74348, powerset(powerset(succ(_74345)))) => ? [_74385] : ! [_74393] : (in(_74393, _74385) <=> in(_74393, powerset(_74345)) & ? [_74425] : (in(_74425, _74348) & _74393 = set_difference(_74425, singleton(_74345))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 fof(s1_tarski__e4_27_3_1__finset_1__1, axiom, ! [_74798, _74801] : (ordinal(_74798) & element(_74801, powerset(powerset(succ(_74798)))) => ! [_74838, _74841, _74844] : (_74838 = _74841 & ? [_74858] : (in(_74858, _74801) & _74841 = set_difference(_74858, singleton(_74798))) & _74838 = _74844 & ? [_74899] : (in(_74899, _74801) & _74844 = set_difference(_74899, singleton(_74798))) => _74841 = _74844) => ? [_74838] : ! [_74841] : (in(_74841, _74838) <=> ? [_74844] : (in(_74844, powerset(_74798)) & _74844 = _74841 & ? [_74991] : (in(_74991, _74801) & _74841 = set_difference(_74991, singleton(_74798)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73
% 38.06/37.73 cnf(1, plain, [-(42 ^ [_48872]), in(39 ^ [_48872], _48872)], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(2, plain, [-(42 ^ [_48872]), -(39 ^ [_48872] = set_difference(41 ^ [_48872], singleton(37 ^ [])))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(3, plain, [-(42 ^ [_48872]), -(in(41 ^ [_48872], 38 ^ []))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(4, plain, [-(42 ^ [_48872]), -(in(39 ^ [_48872], powerset(37 ^ [])))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(5, plain, [-(40 ^ [_48872]), in(39 ^ [_48872], powerset(37 ^ [])), in(_48967, 38 ^ []), 39 ^ [_48872] = set_difference(_48967, singleton(37 ^ []))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(6, plain, [-(40 ^ [_48872]), -(in(39 ^ [_48872], _48872))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(7, plain, [-(35 ^ [_48037, _38966, _38782]), -(_48037 = set_difference(34 ^ [_48037, _38966, _38782], singleton(_38782)))], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(8, plain, [-(35 ^ [_48037, _38966, _38782]), -(in(34 ^ [_48037, _38966, _38782], _38966))], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(9, plain, [-(35 ^ [_48037, _38966, _38782]), -(33 ^ [_48037, _38966, _38782] = _48037)], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(10, plain, [-(35 ^ [_48037, _38966, _38782]), -(in(33 ^ [_48037, _38966, _38782], powerset(_38782)))], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(11, plain, [-(36 ^ [_38966, _38782]), -(in(_48037, 32 ^ [_38966, _38782])), in(_48048, powerset(_38782)), _48048 = _48037, in(_48067, _38966), _48037 = set_difference(_48067, singleton(_38782))], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(12, plain, [-(36 ^ [_38966, _38782]), in(_48037, 32 ^ [_38966, _38782]), 35 ^ [_48037, _38966, _38782]], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(13, plain, [-(31 ^ [_38966, _38782]), 27 ^ [_38966, _38782] = 28 ^ [_38966, _38782]], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(14, plain, [-(31 ^ [_38966, _38782]), -(26 ^ [_38966, _38782] = 28 ^ [_38966, _38782])], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(15, plain, [-(31 ^ [_38966, _38782]), -(26 ^ [_38966, _38782] = 27 ^ [_38966, _38782])], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73 cnf(16, plain, [-(ordinal(37 ^ []))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(17, plain, [-(element(38 ^ [], powerset(powerset(succ(37 ^ [])))))], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(18, plain, [42 ^ [_48872], 40 ^ [_48872]], clausify(s1_xboole_0__e4_27_3_1__finset_1)).
% 38.06/37.73 cnf(19, plain, [_25065 = _25114, -(powerset(_25065) = powerset(_25114))], theory(equality)).
% 38.06/37.73 cnf(20, plain, [-(_19793 = _19793)], theory(equality)).
% 38.06/37.73 cnf(21, plain, [_19946 = _19991, -(_19991 = _19946)], theory(equality)).
% 38.06/37.73 cnf(22, plain, [-(_20225 = _20336), _20225 = _20281, _20281 = _20336], theory(equality)).
% 38.06/37.73 cnf(23, plain, [-(in(_23037, _23168)), in(_22970, _23103), _22970 = _23037, _23103 = _23168], theory(equality)).
% 38.06/37.73 cnf(24, plain, [element(_38966, powerset(powerset(succ(_38782)))), ordinal(_38782), 31 ^ [_38966, _38782], 36 ^ [_38966, _38782]], clausify(s1_tarski__e4_27_3_1__finset_1__1)).
% 38.06/37.73
% 38.06/37.73 cnf('1',plain,[-(element(38 ^ [], powerset(powerset(succ(37 ^ [])))))],start(17)).
% 38.06/37.73 cnf('1.1',plain,[element(38 ^ [], powerset(powerset(succ(37 ^ [])))), ordinal(37 ^ []), 31 ^ [38 ^ [], 37 ^ []], 36 ^ [38 ^ [], 37 ^ []]],extension(24,bind([[_38966, _38782], [38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.1',plain,[-(ordinal(37 ^ []))],extension(16)).
% 38.06/37.73 cnf('1.1.2',plain,[-(31 ^ [38 ^ [], 37 ^ []]), -(26 ^ [38 ^ [], 37 ^ []] = 28 ^ [38 ^ [], 37 ^ []])],extension(14,bind([[_38966, _38782], [38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.2.1',plain,[26 ^ [38 ^ [], 37 ^ []] = 28 ^ [38 ^ [], 37 ^ []], -(28 ^ [38 ^ [], 37 ^ []] = 26 ^ [38 ^ [], 37 ^ []])],extension(21,bind([[_19991, _19946], [28 ^ [38 ^ [], 37 ^ []], 26 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.2.1.1',plain,[28 ^ [38 ^ [], 37 ^ []] = 26 ^ [38 ^ [], 37 ^ []], -(28 ^ [38 ^ [], 37 ^ []] = 27 ^ [38 ^ [], 37 ^ []]), 26 ^ [38 ^ [], 37 ^ []] = 27 ^ [38 ^ [], 37 ^ []]],extension(22,bind([[_20225, _20281, _20336], [28 ^ [38 ^ [], 37 ^ []], 26 ^ [38 ^ [], 37 ^ []], 27 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.2.1.1.1',plain,[28 ^ [38 ^ [], 37 ^ []] = 27 ^ [38 ^ [], 37 ^ []], -(27 ^ [38 ^ [], 37 ^ []] = 28 ^ [38 ^ [], 37 ^ []])],extension(21,bind([[_19991, _19946], [27 ^ [38 ^ [], 37 ^ []], 28 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.2.1.1.1.1',plain,[27 ^ [38 ^ [], 37 ^ []] = 28 ^ [38 ^ [], 37 ^ []], -(31 ^ [38 ^ [], 37 ^ []])],extension(13,bind([[_38966, _38782], [38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.2.1.1.1.1.1',plain,[31 ^ [38 ^ [], 37 ^ []]],reduction('1.1')).
% 38.06/37.73 cnf('1.1.2.1.1.2',plain,[-(26 ^ [38 ^ [], 37 ^ []] = 27 ^ [38 ^ [], 37 ^ []]), -(31 ^ [38 ^ [], 37 ^ []])],extension(15,bind([[_38966, _38782], [38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.2.1.1.2.1',plain,[31 ^ [38 ^ [], 37 ^ []]],reduction('1.1')).
% 38.06/37.73 cnf('1.1.3',plain,[-(36 ^ [38 ^ [], 37 ^ []]), in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], 32 ^ [38 ^ [], 37 ^ []]), 35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]],extension(12,bind([[_48037, _38966, _38782], [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.3.1',plain,[-(in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], 32 ^ [38 ^ [], 37 ^ []])), -(40 ^ [32 ^ [38 ^ [], 37 ^ []]])],extension(6,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.1.1',plain,[40 ^ [32 ^ [38 ^ [], 37 ^ []]], 42 ^ [32 ^ [38 ^ [], 37 ^ []]]],extension(18,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.1.1.1',plain,[-(42 ^ [32 ^ [38 ^ [], 37 ^ []]]), -(39 ^ [32 ^ [38 ^ [], 37 ^ []]] = set_difference(41 ^ [32 ^ [38 ^ [], 37 ^ []]], singleton(37 ^ [])))],extension(2,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.1.1.1.1',plain,[39 ^ [32 ^ [38 ^ [], 37 ^ []]] = set_difference(41 ^ [32 ^ [38 ^ [], 37 ^ []]], singleton(37 ^ [])), -(36 ^ [38 ^ [], 37 ^ []]), -(in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], 32 ^ [38 ^ [], 37 ^ []])), in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], powerset(37 ^ [])), 39 ^ [32 ^ [38 ^ [], 37 ^ []]] = 39 ^ [32 ^ [38 ^ [], 37 ^ []]], in(41 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [])],extension(11,bind([[_38782, _48048, _48037, _48067, _38966], [37 ^ [], 39 ^ [32 ^ [38 ^ [], 37 ^ []]], 39 ^ [32 ^ [38 ^ [], 37 ^ []]], 41 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ []]]))).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.1',plain,[36 ^ [38 ^ [], 37 ^ []]],reduction('1.1')).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.2',plain,[in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], 32 ^ [38 ^ [], 37 ^ []])],reduction('1.1.3')).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.3',plain,[-(in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], powerset(37 ^ []))), -(42 ^ [32 ^ [38 ^ [], 37 ^ []]])],extension(4,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.3.1',plain,[42 ^ [32 ^ [38 ^ [], 37 ^ []]]],reduction('1.1.3.1.1')).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.4',plain,[-(39 ^ [32 ^ [38 ^ [], 37 ^ []]] = 39 ^ [32 ^ [38 ^ [], 37 ^ []]])],extension(20,bind([[_19793], [39 ^ [32 ^ [38 ^ [], 37 ^ []]]]]))).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.5',plain,[-(in(41 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [])), -(42 ^ [32 ^ [38 ^ [], 37 ^ []]])],extension(3,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.1.1.1.1.5.1',plain,[42 ^ [32 ^ [38 ^ [], 37 ^ []]]],reduction('1.1.3.1.1')).
% 38.06/37.73 cnf('1.1.3.2',plain,[-(35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]), -(33 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []] = 39 ^ [32 ^ [38 ^ [], 37 ^ []]])],extension(9,bind([[_38966, _38782, _48037], [38 ^ [], 37 ^ [], 39 ^ [32 ^ [38 ^ [], 37 ^ []]]]]))).
% 38.06/37.73 cnf('1.1.3.2.1',plain,[33 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []] = 39 ^ [32 ^ [38 ^ [], 37 ^ []]], -(in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], powerset(37 ^ []))), in(33 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], powerset(37 ^ [])), powerset(37 ^ []) = powerset(37 ^ [])],extension(23,bind([[_23037, _22970, _23103, _23168], [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 33 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], powerset(37 ^ []), powerset(37 ^ [])]]))).
% 38.06/37.73 cnf('1.1.3.2.1.1',plain,[in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], powerset(37 ^ [])), -(40 ^ [32 ^ [38 ^ [], 37 ^ []]]), in(34 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], 38 ^ []), 39 ^ [32 ^ [38 ^ [], 37 ^ []]] = set_difference(34 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], singleton(37 ^ []))],extension(5,bind([[_48872, _48967], [32 ^ [38 ^ [], 37 ^ []], 34 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.2.1.1.1',plain,[40 ^ [32 ^ [38 ^ [], 37 ^ []]], 42 ^ [32 ^ [38 ^ [], 37 ^ []]]],extension(18,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.2.1.1.1.1',plain,[-(42 ^ [32 ^ [38 ^ [], 37 ^ []]]), in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], 32 ^ [38 ^ [], 37 ^ []])],extension(1,bind([[_48872], [32 ^ [38 ^ [], 37 ^ []]]]))).
% 38.06/37.73 cnf('1.1.3.2.1.1.1.1.1',plain,[-(in(39 ^ [32 ^ [38 ^ [], 37 ^ []]], 32 ^ [38 ^ [], 37 ^ []]))],lemmata('1.1.3')).
% 38.06/37.73 cnf('1.1.3.2.1.1.2',plain,[-(in(34 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], 38 ^ [])), -(35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []])],extension(8,bind([[_48037, _38966, _38782], [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.3.2.1.1.2.1',plain,[35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]],reduction('1.1.3')).
% 38.06/37.73 cnf('1.1.3.2.1.1.3',plain,[-(39 ^ [32 ^ [38 ^ [], 37 ^ []]] = set_difference(34 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], singleton(37 ^ []))), -(35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []])],extension(7,bind([[_48037, _38966, _38782], [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.3.2.1.1.3.1',plain,[35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]],reduction('1.1.3')).
% 38.06/37.73 cnf('1.1.3.2.1.2',plain,[-(in(33 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []], powerset(37 ^ []))), -(35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []])],extension(10,bind([[_48037, _38966, _38782], [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.3.2.1.2.1',plain,[35 ^ [39 ^ [32 ^ [38 ^ [], 37 ^ []]], 38 ^ [], 37 ^ []]],reduction('1.1.3')).
% 38.06/37.73 cnf('1.1.3.2.1.3',plain,[-(powerset(37 ^ []) = powerset(37 ^ [])), 37 ^ [] = 37 ^ []],extension(19,bind([[_25065, _25114], [37 ^ [], 37 ^ []]]))).
% 38.06/37.73 cnf('1.1.3.2.1.3.1',plain,[-(37 ^ [] = 37 ^ [])],extension(20,bind([[_19793], [37 ^ []]]))).
% 38.06/37.73 %-----------------------------------------------------
% 38.06/37.73
% 38.06/37.74 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------