TSTP Solution File: SEU297+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:01:47 EDT 2022
% Result : Theorem 30.79s 30.34s
% Output : Proof 30.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 00:24:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 30.79/30.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.79/30.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.79/30.35
% 30.79/30.35 %-----------------------------------------------------
% 30.79/30.35 fof(s1_xboole_0__e6_27__finset_1, conjecture, ! [_68432, _68435, _68438] : (element(_68435, powerset(powerset(_68432))) & relation(_68438) & function(_68438) => ? [_68478] : ! [_68486] : (in(_68486, _68478) <=> in(_68486, powerset(relation_dom(_68438))) & in(relation_image(_68438, _68486), _68435))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 fof(s1_tarski__e6_27__finset_1__1, axiom, ! [_68843, _68846, _68849] : (element(_68846, powerset(powerset(_68843))) & relation(_68849) & function(_68849) => ! [_68889, _68892, _68895] : (_68889 = _68892 & in(relation_image(_68849, _68892), _68846) & _68889 = _68895 & in(relation_image(_68849, _68895), _68846) => _68892 = _68895) => ? [_68889] : ! [_68892] : (in(_68892, _68889) <=> ? [_68895] : (in(_68895, powerset(relation_dom(_68849))) & _68895 = _68892 & in(relation_image(_68849, _68892), _68846)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35
% 30.79/30.35 cnf(1, plain, [-(38 ^ [_43769]), in(36 ^ [_43769], _43769)], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(2, plain, [-(38 ^ [_43769]), -(in(relation_image(35 ^ [], 36 ^ [_43769]), 34 ^ []))], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(3, plain, [-(38 ^ [_43769]), -(in(36 ^ [_43769], powerset(relation_dom(35 ^ []))))], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(4, plain, [-(37 ^ [_43769]), in(36 ^ [_43769], powerset(relation_dom(35 ^ []))), in(relation_image(35 ^ [], 36 ^ [_43769]), 34 ^ [])], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(5, plain, [-(37 ^ [_43769]), -(in(36 ^ [_43769], _43769))], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(6, plain, [-(31 ^ [_42986, _35127, _34973, _34818]), -(in(relation_image(_35127, _42986), _34973))], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(7, plain, [-(31 ^ [_42986, _35127, _34973, _34818]), -(30 ^ [_42986, _35127, _34973, _34818] = _42986)], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(8, plain, [-(31 ^ [_42986, _35127, _34973, _34818]), -(in(30 ^ [_42986, _35127, _34973, _34818], powerset(relation_dom(_35127))))], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(9, plain, [-(32 ^ [_35127, _34973, _34818]), -(in(_42986, 29 ^ [_35127, _34973, _34818])), in(_42997, powerset(relation_dom(_35127))), _42997 = _42986, in(relation_image(_35127, _42986), _34973)], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(10, plain, [-(32 ^ [_35127, _34973, _34818]), in(_42986, 29 ^ [_35127, _34973, _34818]), 31 ^ [_42986, _35127, _34973, _34818]], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(11, plain, [-(28 ^ [_35127, _34973, _34818]), 26 ^ [_35127, _34973, _34818] = 27 ^ [_35127, _34973, _34818]], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(12, plain, [-(28 ^ [_35127, _34973, _34818]), -(25 ^ [_35127, _34973, _34818] = 27 ^ [_35127, _34973, _34818])], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(13, plain, [-(28 ^ [_35127, _34973, _34818]), -(25 ^ [_35127, _34973, _34818] = 26 ^ [_35127, _34973, _34818])], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35 cnf(14, plain, [-(element(34 ^ [], powerset(powerset(33 ^ []))))], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(15, plain, [-(relation(35 ^ []))], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(16, plain, [-(function(35 ^ []))], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(17, plain, [38 ^ [_43769], 37 ^ [_43769]], clausify(s1_xboole_0__e6_27__finset_1)).
% 30.79/30.35 cnf(18, plain, [_22918 = _22967, -(powerset(_22918) = powerset(_22967))], theory(equality)).
% 30.79/30.35 cnf(19, plain, [_23247 = _23296, -(relation_dom(_23247) = relation_dom(_23296))], theory(equality)).
% 30.79/30.35 cnf(20, plain, [-(_17646 = _17646)], theory(equality)).
% 30.79/30.35 cnf(21, plain, [_17799 = _17844, -(_17844 = _17799)], theory(equality)).
% 30.79/30.35 cnf(22, plain, [-(_18078 = _18189), _18078 = _18134, _18134 = _18189], theory(equality)).
% 30.79/30.35 cnf(23, plain, [-(in(_20890, _21021)), in(_20823, _20956), _20823 = _20890, _20956 = _21021], theory(equality)).
% 30.79/30.35 cnf(24, plain, [function(_35127), relation(_35127), element(_34973, powerset(powerset(_34818))), 28 ^ [_35127, _34973, _34818], 32 ^ [_35127, _34973, _34818]], clausify(s1_tarski__e6_27__finset_1__1)).
% 30.79/30.35
% 30.79/30.35 cnf('1',plain,[-(element(34 ^ [], powerset(powerset(33 ^ []))))],start(14)).
% 30.79/30.35 cnf('1.1',plain,[element(34 ^ [], powerset(powerset(33 ^ []))), function(35 ^ []), relation(35 ^ []), 28 ^ [35 ^ [], 34 ^ [], 33 ^ []], 32 ^ [35 ^ [], 34 ^ [], 33 ^ []]],extension(24,bind([[_35127, _34973, _34818], [35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.1',plain,[-(function(35 ^ []))],extension(16)).
% 30.79/30.35 cnf('1.1.2',plain,[-(relation(35 ^ []))],extension(15)).
% 30.79/30.35 cnf('1.1.3',plain,[-(28 ^ [35 ^ [], 34 ^ [], 33 ^ []]), -(25 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 27 ^ [35 ^ [], 34 ^ [], 33 ^ []])],extension(12,bind([[_35127, _34973, _34818], [35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.3.1',plain,[25 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 27 ^ [35 ^ [], 34 ^ [], 33 ^ []], -(27 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 25 ^ [35 ^ [], 34 ^ [], 33 ^ []])],extension(21,bind([[_17844, _17799], [27 ^ [35 ^ [], 34 ^ [], 33 ^ []], 25 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.3.1.1',plain,[27 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 25 ^ [35 ^ [], 34 ^ [], 33 ^ []], -(27 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 26 ^ [35 ^ [], 34 ^ [], 33 ^ []]), 25 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 26 ^ [35 ^ [], 34 ^ [], 33 ^ []]],extension(22,bind([[_18078, _18134, _18189], [27 ^ [35 ^ [], 34 ^ [], 33 ^ []], 25 ^ [35 ^ [], 34 ^ [], 33 ^ []], 26 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.3.1.1.1',plain,[27 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 26 ^ [35 ^ [], 34 ^ [], 33 ^ []], -(26 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 27 ^ [35 ^ [], 34 ^ [], 33 ^ []])],extension(21,bind([[_17844, _17799], [26 ^ [35 ^ [], 34 ^ [], 33 ^ []], 27 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.3.1.1.1.1',plain,[26 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 27 ^ [35 ^ [], 34 ^ [], 33 ^ []], -(28 ^ [35 ^ [], 34 ^ [], 33 ^ []])],extension(11,bind([[_35127, _34973, _34818], [35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.3.1.1.1.1.1',plain,[28 ^ [35 ^ [], 34 ^ [], 33 ^ []]],reduction('1.1')).
% 30.79/30.35 cnf('1.1.3.1.1.2',plain,[-(25 ^ [35 ^ [], 34 ^ [], 33 ^ []] = 26 ^ [35 ^ [], 34 ^ [], 33 ^ []]), -(28 ^ [35 ^ [], 34 ^ [], 33 ^ []])],extension(13,bind([[_35127, _34973, _34818], [35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.3.1.1.2.1',plain,[28 ^ [35 ^ [], 34 ^ [], 33 ^ []]],reduction('1.1')).
% 30.79/30.35 cnf('1.1.4',plain,[-(32 ^ [35 ^ [], 34 ^ [], 33 ^ []]), in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 29 ^ [35 ^ [], 34 ^ [], 33 ^ []]), 31 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]],extension(10,bind([[_42986, _35127, _34973, _34818], [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.4.1',plain,[-(in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 29 ^ [35 ^ [], 34 ^ [], 33 ^ []])), -(37 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]])],extension(5,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.1.1',plain,[37 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 38 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]],extension(17,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.1.1.1',plain,[-(38 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), -(in(relation_image(35 ^ [], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), 34 ^ []))],extension(2,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.1.1.1.1',plain,[in(relation_image(35 ^ [], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), 34 ^ []), -(32 ^ [35 ^ [], 34 ^ [], 33 ^ []]), -(in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 29 ^ [35 ^ [], 34 ^ [], 33 ^ []])), in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], powerset(relation_dom(35 ^ []))), 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]] = 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]],extension(9,bind([[_34973, _34818, _35127, _42997, _42986], [34 ^ [], 33 ^ [], 35 ^ [], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]]))).
% 30.79/30.35 cnf('1.1.4.1.1.1.1.1',plain,[32 ^ [35 ^ [], 34 ^ [], 33 ^ []]],reduction('1.1')).
% 30.79/30.35 cnf('1.1.4.1.1.1.1.2',plain,[in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 29 ^ [35 ^ [], 34 ^ [], 33 ^ []])],reduction('1.1.4')).
% 30.79/30.35 cnf('1.1.4.1.1.1.1.3',plain,[-(in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], powerset(relation_dom(35 ^ [])))), -(38 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]])],extension(3,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.1.1.1.1.3.1',plain,[38 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]],reduction('1.1.4.1.1')).
% 30.79/30.35 cnf('1.1.4.1.1.1.1.4',plain,[-(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]] = 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]])],extension(20,bind([[_17646], [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]]))).
% 30.79/30.35 cnf('1.1.4.2',plain,[-(31 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]), -(30 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []] = 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]])],extension(7,bind([[_35127, _34973, _34818, _42986], [35 ^ [], 34 ^ [], 33 ^ [], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]]))).
% 30.79/30.35 cnf('1.1.4.2.1',plain,[30 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []] = 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], -(in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], powerset(relation_dom(35 ^ [])))), in(30 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []], powerset(relation_dom(35 ^ []))), powerset(relation_dom(35 ^ [])) = powerset(relation_dom(35 ^ []))],extension(23,bind([[_20890, _20823, _20956, _21021], [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 30 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []], powerset(relation_dom(35 ^ [])), powerset(relation_dom(35 ^ []))]]))).
% 30.79/30.35 cnf('1.1.4.2.1.1',plain,[in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], powerset(relation_dom(35 ^ []))), -(37 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), in(relation_image(35 ^ [], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), 34 ^ [])],extension(4,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.2.1.1.1',plain,[37 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 38 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]],extension(17,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.2.1.1.1.1',plain,[-(38 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 29 ^ [35 ^ [], 34 ^ [], 33 ^ []])],extension(1,bind([[_43769], [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]]))).
% 30.79/30.35 cnf('1.1.4.2.1.1.1.1.1',plain,[-(in(36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 29 ^ [35 ^ [], 34 ^ [], 33 ^ []]))],lemmata('1.1.4')).
% 30.79/30.35 cnf('1.1.4.2.1.1.2',plain,[-(in(relation_image(35 ^ [], 36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]]), 34 ^ [])), -(31 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []])],extension(6,bind([[_42986, _35127, _34973, _34818], [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.4.2.1.1.2.1',plain,[31 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]],reduction('1.1.4')).
% 30.79/30.35 cnf('1.1.4.2.1.2',plain,[-(in(30 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []], powerset(relation_dom(35 ^ [])))), -(31 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []])],extension(8,bind([[_42986, _35127, _34973, _34818], [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]]))).
% 30.79/30.35 cnf('1.1.4.2.1.2.1',plain,[31 ^ [36 ^ [29 ^ [35 ^ [], 34 ^ [], 33 ^ []]], 35 ^ [], 34 ^ [], 33 ^ []]],reduction('1.1.4')).
% 30.79/30.35 cnf('1.1.4.2.1.3',plain,[-(powerset(relation_dom(35 ^ [])) = powerset(relation_dom(35 ^ []))), relation_dom(35 ^ []) = relation_dom(35 ^ [])],extension(18,bind([[_22918, _22967], [relation_dom(35 ^ []), relation_dom(35 ^ [])]]))).
% 30.79/30.35 cnf('1.1.4.2.1.3.1',plain,[-(relation_dom(35 ^ []) = relation_dom(35 ^ [])), 35 ^ [] = 35 ^ []],extension(19,bind([[_23247, _23296], [35 ^ [], 35 ^ []]]))).
% 30.79/30.35 cnf('1.1.4.2.1.3.1.1',plain,[-(35 ^ [] = 35 ^ [])],extension(20,bind([[_17646], [35 ^ []]]))).
% 30.79/30.35 %-----------------------------------------------------
% 30.79/30.36
% 30.79/30.36 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------