TSTP Solution File: SYN067+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 : Thu Jul 21 08:15:33 EDT 2022
% Result : Theorem 29.52s 29.41s
% Output : Proof 29.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 14:52:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 29.52/29.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.52/29.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.52/29.42
% 29.52/29.42 %-----------------------------------------------------
% 29.52/29.42 fof(pel38, conjecture, ! [_23911] : (big_p(a) & (big_p(_23911) => ? [_23933] : (big_p(_23933) & big_r(_23911, _23933))) => ? [_23958, _23961] : (big_p(_23958) & big_r(_23911, _23961) & big_r(_23961, _23958))) <=> ! [_23996] : ((~ big_p(a) | big_p(_23996) | ? [_24020, _24023] : (big_p(_24020) & big_r(_23996, _24023) & big_r(_24023, _24020))) & (~ big_p(a) | ~ ? [_24069] : (big_p(_24069) & big_r(_23996, _24069)) | ? [_24094, _24097] : (big_p(_24094) & big_r(_23996, _24097) & big_r(_24097, _24094)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel38)).
% 29.52/29.42
% 29.52/29.42 cnf(1, plain, [-(18 ^ []), -(big_r(16 ^ [], 17 ^ []))], clausify(pel38)).
% 29.52/29.42 cnf(2, plain, [-(18 ^ []), -(big_p(17 ^ []))], clausify(pel38)).
% 29.52/29.42 cnf(3, plain, [-(15 ^ [_4315]), -(big_r(14 ^ [_4315], 13 ^ [_4315]))], clausify(pel38)).
% 29.52/29.42 cnf(4, plain, [-(15 ^ [_4315]), -(big_r(_4315, 14 ^ [_4315]))], clausify(pel38)).
% 29.52/29.42 cnf(5, plain, [-(15 ^ [_4315]), -(big_p(13 ^ [_4315]))], clausify(pel38)).
% 29.52/29.42 cnf(6, plain, [-(12 ^ [_4315]), -(big_r(11 ^ [_4315], 10 ^ [_4315]))], clausify(pel38)).
% 29.52/29.42 cnf(7, plain, [-(12 ^ [_4315]), -(big_r(_4315, 11 ^ [_4315]))], clausify(pel38)).
% 29.52/29.42 cnf(8, plain, [-(12 ^ [_4315]), -(big_p(10 ^ [_4315]))], clausify(pel38)).
% 29.52/29.42 cnf(9, plain, [-(19 ^ []), big_p(a), 15 ^ [_4315], big_p(_4930), big_r(_4315, _4930)], clausify(pel38)).
% 29.52/29.42 cnf(10, plain, [-(19 ^ []), big_p(a), -(big_p(_4315)), 12 ^ [_4315]], clausify(pel38)).
% 29.52/29.42 cnf(11, plain, [-(19 ^ []), big_p(_6389), big_r(16 ^ [], _6394), big_r(_6394, _6389)], clausify(pel38)).
% 29.52/29.42 cnf(12, plain, [-(19 ^ []), big_p(16 ^ []), 18 ^ []], clausify(pel38)).
% 29.52/29.42 cnf(13, plain, [-(19 ^ []), -(big_p(a))], clausify(pel38)).
% 29.52/29.42 cnf(14, plain, [-(8 ^ []), big_p(_5771), big_r(5 ^ [], _5776), big_r(_5776, _5771)], clausify(pel38)).
% 29.52/29.42 cnf(15, plain, [-(8 ^ []), -(big_r(5 ^ [], 7 ^ []))], clausify(pel38)).
% 29.52/29.42 cnf(16, plain, [-(8 ^ []), -(big_p(7 ^ []))], clausify(pel38)).
% 29.52/29.42 cnf(17, plain, [-(8 ^ []), -(big_p(a))], clausify(pel38)).
% 29.52/29.42 cnf(18, plain, [-(6 ^ []), big_p(_5726), big_r(5 ^ [], _5731), big_r(_5731, _5726)], clausify(pel38)).
% 29.52/29.42 cnf(19, plain, [-(6 ^ []), big_p(5 ^ [])], clausify(pel38)).
% 29.52/29.42 cnf(20, plain, [-(6 ^ []), -(big_p(a))], clausify(pel38)).
% 29.52/29.42 cnf(21, plain, [-(4 ^ [_3646]), -(big_r(3 ^ [_3646], 2 ^ [_3646]))], clausify(pel38)).
% 29.52/29.42 cnf(22, plain, [-(4 ^ [_3646]), -(big_r(_3646, 3 ^ [_3646]))], clausify(pel38)).
% 29.52/29.42 cnf(23, plain, [-(4 ^ [_3646]), -(big_p(2 ^ [_3646]))], clausify(pel38)).
% 29.52/29.42 cnf(24, plain, [-(1 ^ [_3646]), big_p(_3812), big_r(_3646, _3812)], clausify(pel38)).
% 29.52/29.42 cnf(25, plain, [-(1 ^ [_3646]), -(big_p(_3646))], clausify(pel38)).
% 29.52/29.42 cnf(26, plain, [-(9 ^ []), 6 ^ [], 8 ^ []], clausify(pel38)).
% 29.52/29.42 cnf(27, plain, [-(9 ^ []), 4 ^ [_3646], big_p(a), 1 ^ [_3646]], clausify(pel38)).
% 29.52/29.42 cnf(28, plain, [9 ^ [], 19 ^ []], clausify(pel38)).
% 29.52/29.42
% 29.52/29.42 cnf('1',plain,[9 ^ [], 19 ^ []],start(28)).
% 29.52/29.42 cnf('1.1',plain,[-(9 ^ []), 6 ^ [], 8 ^ []],extension(26)).
% 29.52/29.42 cnf('1.1.1',plain,[-(6 ^ []), big_p(5 ^ [])],extension(19)).
% 29.52/29.42 cnf('1.1.1.1',plain,[-(big_p(5 ^ [])), -(1 ^ [5 ^ []])],extension(25,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.1.1.1',plain,[1 ^ [5 ^ []], -(9 ^ []), 4 ^ [5 ^ []], big_p(a)],extension(27,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.1.1.1.1',plain,[9 ^ []],reduction('1')).
% 29.52/29.42 cnf('1.1.1.1.1.2',plain,[-(4 ^ [5 ^ []]), -(big_r(3 ^ [5 ^ []], 2 ^ [5 ^ []]))],extension(21,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.1.1.1.2.1',plain,[big_r(3 ^ [5 ^ []], 2 ^ [5 ^ []]), -(6 ^ []), big_p(2 ^ [5 ^ []]), big_r(5 ^ [], 3 ^ [5 ^ []])],extension(18,bind([[_5726, _5731], [2 ^ [5 ^ []], 3 ^ [5 ^ []]]]))).
% 29.52/29.42 cnf('1.1.1.1.1.2.1.1',plain,[6 ^ []],reduction('1.1')).
% 29.52/29.42 cnf('1.1.1.1.1.2.1.2',plain,[-(big_p(2 ^ [5 ^ []])), -(4 ^ [5 ^ []])],extension(23,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.1.1.1.2.1.2.1',plain,[4 ^ [5 ^ []]],reduction('1.1.1.1.1')).
% 29.52/29.42 cnf('1.1.1.1.1.2.1.3',plain,[-(big_r(5 ^ [], 3 ^ [5 ^ []])), -(4 ^ [5 ^ []])],extension(22,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.1.1.1.2.1.3.1',plain,[4 ^ [5 ^ []]],reduction('1.1.1.1.1')).
% 29.52/29.42 cnf('1.1.1.1.1.3',plain,[-(big_p(a)), -(6 ^ [])],extension(20)).
% 29.52/29.42 cnf('1.1.1.1.1.3.1',plain,[6 ^ []],reduction('1.1')).
% 29.52/29.42 cnf('1.1.2',plain,[-(8 ^ []), -(big_r(5 ^ [], 7 ^ []))],extension(15)).
% 29.52/29.42 cnf('1.1.2.1',plain,[big_r(5 ^ [], 7 ^ []), -(1 ^ [5 ^ []]), big_p(7 ^ [])],extension(24,bind([[_3646, _3812], [5 ^ [], 7 ^ []]]))).
% 29.52/29.42 cnf('1.1.2.1.1',plain,[1 ^ [5 ^ []], -(9 ^ []), 4 ^ [5 ^ []], big_p(a)],extension(27,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.2.1.1.1',plain,[9 ^ []],reduction('1')).
% 29.52/29.42 cnf('1.1.2.1.1.2',plain,[-(4 ^ [5 ^ []]), -(big_r(3 ^ [5 ^ []], 2 ^ [5 ^ []]))],extension(21,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.2.1.1.2.1',plain,[big_r(3 ^ [5 ^ []], 2 ^ [5 ^ []]), -(8 ^ []), big_p(2 ^ [5 ^ []]), big_r(5 ^ [], 3 ^ [5 ^ []])],extension(14,bind([[_5771, _5776], [2 ^ [5 ^ []], 3 ^ [5 ^ []]]]))).
% 29.52/29.42 cnf('1.1.2.1.1.2.1.1',plain,[8 ^ []],reduction('1.1')).
% 29.52/29.42 cnf('1.1.2.1.1.2.1.2',plain,[-(big_p(2 ^ [5 ^ []])), -(4 ^ [5 ^ []])],extension(23,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.2.1.1.2.1.2.1',plain,[4 ^ [5 ^ []]],reduction('1.1.2.1.1')).
% 29.52/29.42 cnf('1.1.2.1.1.2.1.3',plain,[-(big_r(5 ^ [], 3 ^ [5 ^ []])), -(4 ^ [5 ^ []])],extension(22,bind([[_3646], [5 ^ []]]))).
% 29.52/29.42 cnf('1.1.2.1.1.2.1.3.1',plain,[4 ^ [5 ^ []]],reduction('1.1.2.1.1')).
% 29.52/29.42 cnf('1.1.2.1.1.3',plain,[-(big_p(a)), -(8 ^ [])],extension(17)).
% 29.52/29.42 cnf('1.1.2.1.1.3.1',plain,[8 ^ []],reduction('1.1')).
% 29.52/29.42 cnf('1.1.2.1.2',plain,[-(big_p(7 ^ [])), -(8 ^ [])],extension(16)).
% 29.52/29.42 cnf('1.1.2.1.2.1',plain,[8 ^ []],reduction('1.1')).
% 29.52/29.42 cnf('1.2',plain,[-(19 ^ []), big_p(a), 15 ^ [16 ^ []], big_p(17 ^ []), big_r(16 ^ [], 17 ^ [])],extension(9,bind([[_4315, _4930], [16 ^ [], 17 ^ []]]))).
% 29.52/29.42 cnf('1.2.1',plain,[-(big_p(a)), -(19 ^ [])],extension(13)).
% 29.52/29.42 cnf('1.2.1.1',plain,[19 ^ []],reduction('1')).
% 29.52/29.42 cnf('1.2.2',plain,[-(15 ^ [16 ^ []]), -(big_r(14 ^ [16 ^ []], 13 ^ [16 ^ []]))],extension(3,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.2.1',plain,[big_r(14 ^ [16 ^ []], 13 ^ [16 ^ []]), -(19 ^ []), big_p(13 ^ [16 ^ []]), big_r(16 ^ [], 14 ^ [16 ^ []])],extension(11,bind([[_6389, _6394], [13 ^ [16 ^ []], 14 ^ [16 ^ []]]]))).
% 29.52/29.42 cnf('1.2.2.1.1',plain,[19 ^ []],reduction('1')).
% 29.52/29.42 cnf('1.2.2.1.2',plain,[-(big_p(13 ^ [16 ^ []])), -(15 ^ [16 ^ []])],extension(5,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.2.1.2.1',plain,[15 ^ [16 ^ []]],reduction('1.2')).
% 29.52/29.42 cnf('1.2.2.1.3',plain,[-(big_r(16 ^ [], 14 ^ [16 ^ []])), -(15 ^ [16 ^ []])],extension(4,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.2.1.3.1',plain,[15 ^ [16 ^ []]],reduction('1.2')).
% 29.52/29.42 cnf('1.2.3',plain,[-(big_p(17 ^ [])), -(18 ^ [])],extension(2)).
% 29.52/29.42 cnf('1.2.3.1',plain,[18 ^ [], -(19 ^ []), big_p(16 ^ [])],extension(12)).
% 29.52/29.42 cnf('1.2.3.1.1',plain,[19 ^ []],reduction('1')).
% 29.52/29.42 cnf('1.2.3.1.2',plain,[-(big_p(16 ^ [])), -(19 ^ []), big_p(a), 12 ^ [16 ^ []]],extension(10,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.3.1.2.1',plain,[19 ^ []],lemmata('1.2.3.1')).
% 29.52/29.42 cnf('1.2.3.1.2.2',plain,[-(big_p(a))],lemmata('1.2')).
% 29.52/29.42 cnf('1.2.3.1.2.3',plain,[-(12 ^ [16 ^ []]), -(big_r(11 ^ [16 ^ []], 10 ^ [16 ^ []]))],extension(6,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.3.1.2.3.1',plain,[big_r(11 ^ [16 ^ []], 10 ^ [16 ^ []]), -(19 ^ []), big_p(10 ^ [16 ^ []]), big_r(16 ^ [], 11 ^ [16 ^ []])],extension(11,bind([[_6389, _6394], [10 ^ [16 ^ []], 11 ^ [16 ^ []]]]))).
% 29.52/29.42 cnf('1.2.3.1.2.3.1.1',plain,[19 ^ []],lemmata('1.2.3.1.2')).
% 29.52/29.42 cnf('1.2.3.1.2.3.1.2',plain,[-(big_p(10 ^ [16 ^ []])), -(12 ^ [16 ^ []])],extension(8,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.3.1.2.3.1.2.1',plain,[12 ^ [16 ^ []]],reduction('1.2.3.1.2')).
% 29.52/29.42 cnf('1.2.3.1.2.3.1.3',plain,[-(big_r(16 ^ [], 11 ^ [16 ^ []])), -(12 ^ [16 ^ []])],extension(7,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.3.1.2.3.1.3.1',plain,[12 ^ [16 ^ []]],reduction('1.2.3.1.2')).
% 29.52/29.42 cnf('1.2.4',plain,[-(big_r(16 ^ [], 17 ^ [])), -(18 ^ [])],extension(1)).
% 29.52/29.42 cnf('1.2.4.1',plain,[18 ^ [], -(19 ^ []), big_p(16 ^ [])],extension(12)).
% 29.52/29.42 cnf('1.2.4.1.1',plain,[19 ^ []],reduction('1')).
% 29.52/29.42 cnf('1.2.4.1.2',plain,[-(big_p(16 ^ [])), -(19 ^ []), big_p(a), 12 ^ [16 ^ []]],extension(10,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.4.1.2.1',plain,[19 ^ []],lemmata('1.2.4.1')).
% 29.52/29.42 cnf('1.2.4.1.2.2',plain,[-(big_p(a))],lemmata('1.2')).
% 29.52/29.42 cnf('1.2.4.1.2.3',plain,[-(12 ^ [16 ^ []]), -(big_r(11 ^ [16 ^ []], 10 ^ [16 ^ []]))],extension(6,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.4.1.2.3.1',plain,[big_r(11 ^ [16 ^ []], 10 ^ [16 ^ []]), -(19 ^ []), big_p(10 ^ [16 ^ []]), big_r(16 ^ [], 11 ^ [16 ^ []])],extension(11,bind([[_6389, _6394], [10 ^ [16 ^ []], 11 ^ [16 ^ []]]]))).
% 29.52/29.42 cnf('1.2.4.1.2.3.1.1',plain,[19 ^ []],lemmata('1.2.4.1.2')).
% 29.52/29.42 cnf('1.2.4.1.2.3.1.2',plain,[-(big_p(10 ^ [16 ^ []])), -(12 ^ [16 ^ []])],extension(8,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.4.1.2.3.1.2.1',plain,[12 ^ [16 ^ []]],reduction('1.2.4.1.2')).
% 29.52/29.42 cnf('1.2.4.1.2.3.1.3',plain,[-(big_r(16 ^ [], 11 ^ [16 ^ []])), -(12 ^ [16 ^ []])],extension(7,bind([[_4315], [16 ^ []]]))).
% 29.52/29.42 cnf('1.2.4.1.2.3.1.3.1',plain,[12 ^ [16 ^ []]],reduction('1.2.4.1.2')).
% 29.52/29.42 %-----------------------------------------------------
% 29.52/29.43
% 29.52/29.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------