TSTP Solution File: SEU272+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 12:01:36 EDT 2022
% Result : Theorem 221.98s 215.21s
% Output : Proof 221.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.10 % Command : leancop_casc.sh %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon Jun 20 05:42:03 EDT 2022
% 0.08/0.28 % CPUTime :
% 221.98/215.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 221.98/215.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 221.98/215.22
% 221.98/215.22 %-----------------------------------------------------
% 221.98/215.22 fof(s1_xboole_0__e8_6__wellord2__1, conjecture, ! [_45792, _45795] : (ordinal(_45795) => ? [_45810] : ! [_45818] : (in(_45818, _45810) <=> in(_45818, succ(_45795)) & ? [_45850] : (ordinal(_45850) & _45818 = _45850 & in(_45850, _45792)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 fof(s1_tarski__e8_6__wellord2__1, axiom, ! [_46166, _46169] : (ordinal(_46169) => ! [_46184, _46187, _46190] : (_46184 = _46187 & ? [_46204] : (ordinal(_46204) & _46187 = _46204 & in(_46204, _46166)) & _46184 = _46190 & ? [_46241] : (ordinal(_46241) & _46190 = _46241 & in(_46241, _46166)) => _46187 = _46190) => ? [_46184] : ! [_46187] : (in(_46187, _46184) <=> ? [_46190] : (in(_46190, succ(_46169)) & _46190 = _46187 & ? [_46329] : (ordinal(_46329) & _46187 = _46329 & in(_46329, _46166))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22
% 221.98/215.22 cnf(1, plain, [-(24 ^ [_21795]), in(21 ^ [_21795], _21795)], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(2, plain, [-(24 ^ [_21795]), -(in(23 ^ [_21795], 19 ^ []))], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(3, plain, [_12158 = _12207, -(succ(_12158) = succ(_12207))], theory(equality)).
% 221.98/215.22 cnf(4, plain, [-(24 ^ [_21795]), -(in(21 ^ [_21795], succ(20 ^ [])))], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(5, plain, [-(18 ^ [_15820, _15648]), -(in(_21225, 14 ^ [_15820, _15648])), in(_21236, succ(_15820)), _21236 = _21225, ordinal(_21255), _21225 = _21255, in(_21255, _15648)], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(6, plain, [-(22 ^ [_21795]), -(in(21 ^ [_21795], _21795))], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(7, plain, [-(13 ^ [_15820, _15648]), -(8 ^ [_15820, _15648] = 9 ^ [_15820, _15648])], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(8, plain, [-(18 ^ [_15820, _15648]), in(_21225, 14 ^ [_15820, _15648]), 17 ^ [_21225, _15820, _15648]], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(9, plain, [-(24 ^ [_21795]), -(21 ^ [_21795] = 23 ^ [_21795])], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(10, plain, [-(13 ^ [_15820, _15648]), -(8 ^ [_15820, _15648] = 10 ^ [_15820, _15648])], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(11, plain, [-(ordinal(20 ^ []))], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(12, plain, [-(17 ^ [_21225, _15820, _15648]), -(_21225 = 16 ^ [_21225, _15820, _15648])], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(13, plain, [-(13 ^ [_15820, _15648]), 9 ^ [_15820, _15648] = 10 ^ [_15820, _15648]], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(14, plain, [-(22 ^ [_21795]), in(21 ^ [_21795], succ(20 ^ [])), ordinal(_21882), 21 ^ [_21795] = _21882, in(_21882, 19 ^ [])], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(15, plain, [ordinal(_15820), 13 ^ [_15820, _15648], 18 ^ [_15820, _15648]], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(16, plain, [-(17 ^ [_21225, _15820, _15648]), -(in(15 ^ [_21225, _15820, _15648], succ(_15820)))], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(17, plain, [-(24 ^ [_21795]), -(ordinal(23 ^ [_21795]))], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(18, plain, [-(17 ^ [_21225, _15820, _15648]), -(ordinal(16 ^ [_21225, _15820, _15648]))], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(19, plain, [-(17 ^ [_21225, _15820, _15648]), -(in(16 ^ [_21225, _15820, _15648], _15648))], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(20, plain, [24 ^ [_21795], 22 ^ [_21795]], clausify(s1_xboole_0__e8_6__wellord2__1)).
% 221.98/215.22 cnf(21, plain, [-(_8911 = _8911)], theory(equality)).
% 221.98/215.22 cnf(22, plain, [-(17 ^ [_21225, _15820, _15648]), -(15 ^ [_21225, _15820, _15648] = _21225)], clausify(s1_tarski__e8_6__wellord2__1)).
% 221.98/215.22 cnf(23, plain, [_9064 = _9109, -(_9109 = _9064)], theory(equality)).
% 221.98/215.22 cnf(24, plain, [-(_9343 = _9454), _9343 = _9399, _9399 = _9454], theory(equality)).
% 221.98/215.22 cnf(25, plain, [-(in(_11202, _11333)), in(_11135, _11268), _11135 = _11202, _11268 = _11333], theory(equality)).
% 221.98/215.22
% 221.98/215.22 cnf('1',plain,[-(ordinal(20 ^ []))],start(11)).
% 221.98/215.22 cnf('1.1',plain,[ordinal(20 ^ []), 13 ^ [20 ^ [], 19 ^ []], 18 ^ [20 ^ [], 19 ^ []]],extension(15,bind([[_15820, _15648], [20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.1',plain,[-(13 ^ [20 ^ [], 19 ^ []]), -(8 ^ [20 ^ [], 19 ^ []] = 9 ^ [20 ^ [], 19 ^ []])],extension(7,bind([[_15820, _15648], [20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.1.1',plain,[8 ^ [20 ^ [], 19 ^ []] = 9 ^ [20 ^ [], 19 ^ []], -(9 ^ [20 ^ [], 19 ^ []] = 8 ^ [20 ^ [], 19 ^ []])],extension(23,bind([[_9109, _9064], [9 ^ [20 ^ [], 19 ^ []], 8 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.1.1.1',plain,[9 ^ [20 ^ [], 19 ^ []] = 8 ^ [20 ^ [], 19 ^ []], -(9 ^ [20 ^ [], 19 ^ []] = 10 ^ [20 ^ [], 19 ^ []]), 8 ^ [20 ^ [], 19 ^ []] = 10 ^ [20 ^ [], 19 ^ []]],extension(24,bind([[_9343, _9399, _9454], [9 ^ [20 ^ [], 19 ^ []], 8 ^ [20 ^ [], 19 ^ []], 10 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.1.1.1.1',plain,[9 ^ [20 ^ [], 19 ^ []] = 10 ^ [20 ^ [], 19 ^ []], -(13 ^ [20 ^ [], 19 ^ []])],extension(13,bind([[_15820, _15648], [20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.1.1.1.1.1',plain,[13 ^ [20 ^ [], 19 ^ []]],reduction('1.1')).
% 221.98/215.22 cnf('1.1.1.1.1.2',plain,[-(8 ^ [20 ^ [], 19 ^ []] = 10 ^ [20 ^ [], 19 ^ []]), -(13 ^ [20 ^ [], 19 ^ []])],extension(10,bind([[_15820, _15648], [20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.1.1.1.2.1',plain,[13 ^ [20 ^ [], 19 ^ []]],reduction('1.1')).
% 221.98/215.22 cnf('1.1.2',plain,[-(18 ^ [20 ^ [], 19 ^ []]), in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], 14 ^ [20 ^ [], 19 ^ []]), 17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]],extension(8,bind([[_21225, _15820, _15648], [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.1',plain,[-(in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], 14 ^ [20 ^ [], 19 ^ []])), -(22 ^ [14 ^ [20 ^ [], 19 ^ []]])],extension(6,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.1.1',plain,[22 ^ [14 ^ [20 ^ [], 19 ^ []]], 24 ^ [14 ^ [20 ^ [], 19 ^ []]]],extension(20,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1',plain,[-(24 ^ [14 ^ [20 ^ [], 19 ^ []]]), -(in(23 ^ [14 ^ [20 ^ [], 19 ^ []]], 19 ^ []))],extension(2,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1.1',plain,[in(23 ^ [14 ^ [20 ^ [], 19 ^ []]], 19 ^ []), -(18 ^ [20 ^ [], 19 ^ []]), -(in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], 14 ^ [20 ^ [], 19 ^ []])), in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], succ(20 ^ [])), 21 ^ [14 ^ [20 ^ [], 19 ^ []]] = 21 ^ [14 ^ [20 ^ [], 19 ^ []]], ordinal(23 ^ [14 ^ [20 ^ [], 19 ^ []]]), 21 ^ [14 ^ [20 ^ [], 19 ^ []]] = 23 ^ [14 ^ [20 ^ [], 19 ^ []]]],extension(5,bind([[_15648, _15820, _21236, _21225, _21255], [19 ^ [], 20 ^ [], 21 ^ [14 ^ [20 ^ [], 19 ^ []]], 21 ^ [14 ^ [20 ^ [], 19 ^ []]], 23 ^ [14 ^ [20 ^ [], 19 ^ []]]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.1',plain,[18 ^ [20 ^ [], 19 ^ []]],reduction('1.1')).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.2',plain,[in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], 14 ^ [20 ^ [], 19 ^ []])],reduction('1.1.2')).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.3',plain,[-(in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], succ(20 ^ []))), -(24 ^ [14 ^ [20 ^ [], 19 ^ []]])],extension(4,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.3.1',plain,[24 ^ [14 ^ [20 ^ [], 19 ^ []]]],reduction('1.1.2.1.1')).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.4',plain,[-(21 ^ [14 ^ [20 ^ [], 19 ^ []]] = 21 ^ [14 ^ [20 ^ [], 19 ^ []]])],extension(21,bind([[_8911], [21 ^ [14 ^ [20 ^ [], 19 ^ []]]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.5',plain,[-(ordinal(23 ^ [14 ^ [20 ^ [], 19 ^ []]])), -(24 ^ [14 ^ [20 ^ [], 19 ^ []]])],extension(17,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.5.1',plain,[24 ^ [14 ^ [20 ^ [], 19 ^ []]]],reduction('1.1.2.1.1')).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.6',plain,[-(21 ^ [14 ^ [20 ^ [], 19 ^ []]] = 23 ^ [14 ^ [20 ^ [], 19 ^ []]]), -(24 ^ [14 ^ [20 ^ [], 19 ^ []]])],extension(9,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.1.1.1.1.6.1',plain,[24 ^ [14 ^ [20 ^ [], 19 ^ []]]],reduction('1.1.2.1.1')).
% 221.98/215.22 cnf('1.1.2.2',plain,[-(17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]), -(21 ^ [14 ^ [20 ^ [], 19 ^ []]] = 16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []])],extension(12,bind([[_21225, _15820, _15648], [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1',plain,[21 ^ [14 ^ [20 ^ [], 19 ^ []]] = 16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []], -(22 ^ [14 ^ [20 ^ [], 19 ^ []]]), in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], succ(20 ^ [])), ordinal(16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]), in(16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []], 19 ^ [])],extension(14,bind([[_21795, _21882], [14 ^ [20 ^ [], 19 ^ []], 16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.2.1.1',plain,[22 ^ [14 ^ [20 ^ [], 19 ^ []]], 24 ^ [14 ^ [20 ^ [], 19 ^ []]]],extension(20,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.2.1.1.1',plain,[-(24 ^ [14 ^ [20 ^ [], 19 ^ []]]), in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], 14 ^ [20 ^ [], 19 ^ []])],extension(1,bind([[_21795], [14 ^ [20 ^ [], 19 ^ []]]]))).
% 221.98/215.22 cnf('1.1.2.2.1.1.1.1',plain,[-(in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], 14 ^ [20 ^ [], 19 ^ []]))],lemmata('1.1.2')).
% 221.98/215.22 cnf('1.1.2.2.1.2',plain,[-(in(21 ^ [14 ^ [20 ^ [], 19 ^ []]], succ(20 ^ []))), in(15 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []], succ(20 ^ [])), 15 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []] = 21 ^ [14 ^ [20 ^ [], 19 ^ []]], succ(20 ^ []) = succ(20 ^ [])],extension(25,bind([[_11135, _11202, _11268, _11333], [15 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []], 21 ^ [14 ^ [20 ^ [], 19 ^ []]], succ(20 ^ []), succ(20 ^ [])]]))).
% 221.98/215.22 cnf('1.1.2.2.1.2.1',plain,[-(in(15 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []], succ(20 ^ []))), -(17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []])],extension(16,bind([[_21225, _15820, _15648], [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1.2.1.1',plain,[17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]],reduction('1.1.2')).
% 221.98/215.22 cnf('1.1.2.2.1.2.2',plain,[-(15 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []] = 21 ^ [14 ^ [20 ^ [], 19 ^ []]]), -(17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []])],extension(22,bind([[_21225, _15820, _15648], [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1.2.2.1',plain,[17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]],reduction('1.1.2')).
% 221.98/215.22 cnf('1.1.2.2.1.2.3',plain,[-(succ(20 ^ []) = succ(20 ^ [])), 20 ^ [] = 20 ^ []],extension(3,bind([[_12158, _12207], [20 ^ [], 20 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1.2.3.1',plain,[-(20 ^ [] = 20 ^ [])],extension(21,bind([[_8911], [20 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1.3',plain,[-(ordinal(16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []])), -(17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []])],extension(18,bind([[_21225, _15820, _15648], [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1.3.1',plain,[17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]],reduction('1.1.2')).
% 221.98/215.22 cnf('1.1.2.2.1.4',plain,[-(in(16 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []], 19 ^ [])), -(17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []])],extension(19,bind([[_21225, _15820, _15648], [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]]))).
% 221.98/215.22 cnf('1.1.2.2.1.4.1',plain,[17 ^ [21 ^ [14 ^ [20 ^ [], 19 ^ []]], 20 ^ [], 19 ^ []]],reduction('1.1.2')).
% 221.98/215.22 %-----------------------------------------------------
% 221.98/215.22
% 221.98/215.22 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------