TSTP Solution File: SEU159+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU159+3 : TPTP v8.1.0. Released v3.2.0.
% 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 12:00:35 EDT 2022
% Result : Theorem 29.49s 29.40s
% Output : Proof 29.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU159+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 00:51:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 29.49/29.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.49/29.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.49/29.41
% 29.49/29.41 %-----------------------------------------------------
% 29.49/29.41 fof(t38_zfmisc_1, conjecture, ! [_28633, _28636, _28639] : (subset(unordered_pair(_28633, _28636), _28639) <=> in(_28633, _28639) & in(_28636, _28639)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t38_zfmisc_1)).
% 29.49/29.41 fof(d3_tarski, axiom, ! [_28878, _28881] : (subset(_28878, _28881) <=> ! [_28899] : (in(_28899, _28878) => in(_28899, _28881))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 29.49/29.41 fof(d2_tarski, axiom, ! [_29099, _29102, _29105] : (_29105 = unordered_pair(_29099, _29102) <=> ! [_29126] : (in(_29126, _29105) <=> _29126 = _29099 | _29126 = _29102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 29.49/29.41 fof(commutativity_k2_tarski, axiom, ! [_29394, _29397] : unordered_pair(_29394, _29397) = unordered_pair(_29397, _29394), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 29.49/29.41
% 29.49/29.41 cnf(1, plain, [-(14 ^ []), subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ [])], clausify(t38_zfmisc_1)).
% 29.49/29.41 cnf(2, plain, [-(14 ^ []), -(in(11 ^ [], 12 ^ []))], clausify(t38_zfmisc_1)).
% 29.49/29.41 cnf(3, plain, [-(14 ^ []), -(in(10 ^ [], 12 ^ []))], clausify(t38_zfmisc_1)).
% 29.49/29.41 cnf(4, plain, [-(13 ^ []), in(10 ^ [], 12 ^ []), in(11 ^ [], 12 ^ [])], clausify(t38_zfmisc_1)).
% 29.49/29.41 cnf(5, plain, [-(13 ^ []), -(subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ []))], clausify(t38_zfmisc_1)).
% 29.49/29.41 cnf(6, plain, [-(7 ^ [_9896, _9840]), in(6 ^ [_9896, _9840], _9896)], clausify(d3_tarski)).
% 29.49/29.41 cnf(7, plain, [-(7 ^ [_9896, _9840]), -(in(6 ^ [_9896, _9840], _9840))], clausify(d3_tarski)).
% 29.49/29.41 cnf(8, plain, [-(1 ^ [_9458, _9294, _9225, _9155]), _9458 = _9225], clausify(d2_tarski)).
% 29.49/29.41 cnf(9, plain, [-(1 ^ [_9458, _9294, _9225, _9155]), _9458 = _9155], clausify(d2_tarski)).
% 29.49/29.41 cnf(10, plain, [-(2 ^ [_9294, _9225, _9155]), in(_9458, _9294), -(_9458 = _9155), -(_9458 = _9225)], clausify(d2_tarski)).
% 29.49/29.41 cnf(11, plain, [-(2 ^ [_9294, _9225, _9155]), -(in(_9458, _9294)), 1 ^ [_9458, _9294, _9225, _9155]], clausify(d2_tarski)).
% 29.49/29.41 cnf(12, plain, [14 ^ [], 13 ^ []], clausify(t38_zfmisc_1)).
% 29.49/29.41 cnf(13, plain, [-(unordered_pair(_8845, _8890) = unordered_pair(_8890, _8845))], clausify(commutativity_k2_tarski)).
% 29.49/29.41 cnf(14, plain, [-(subset(_9840, _9896)), 7 ^ [_9896, _9840]], clausify(d3_tarski)).
% 29.49/29.41 cnf(15, plain, [subset(_9840, _9896), in(_10010, _9840), -(in(_10010, _9896))], clausify(d3_tarski)).
% 29.49/29.41 cnf(16, plain, [_9294 = unordered_pair(_9155, _9225), 2 ^ [_9294, _9225, _9155]], clausify(d2_tarski)).
% 29.49/29.41 cnf(17, plain, [-(_5345 = _5345)], theory(equality)).
% 29.49/29.41 cnf(18, plain, [_5498 = _5543, -(_5543 = _5498)], theory(equality)).
% 29.49/29.41 cnf(19, plain, [-(in(_6649, _6780)), in(_6582, _6715), _6582 = _6649, _6715 = _6780], theory(equality)).
% 29.49/29.41
% 29.49/29.41 cnf('1',plain,[14 ^ [], 13 ^ []],start(12)).
% 29.49/29.41 cnf('1.1',plain,[-(14 ^ []), subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ [])],extension(1)).
% 29.49/29.41 cnf('1.1.1',plain,[-(subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ [])), 7 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]],extension(14,bind([[_9896, _9840], [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]))).
% 29.49/29.41 cnf('1.1.1.1',plain,[-(7 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]), -(in(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], unordered_pair(10 ^ [], 11 ^ [])))],extension(7,bind([[_9896, _9840], [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]))).
% 29.49/29.41 cnf('1.1.1.1.1',plain,[in(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], unordered_pair(10 ^ [], 11 ^ [])), -(2 ^ [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]), -(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])] = 11 ^ []), -(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])] = 10 ^ [])],extension(10,bind([[_9294, _9155, _9458, _9225], [unordered_pair(10 ^ [], 11 ^ []), 11 ^ [], 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 10 ^ []]]))).
% 29.49/29.41 cnf('1.1.1.1.1.1',plain,[2 ^ [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []], unordered_pair(10 ^ [], 11 ^ []) = unordered_pair(11 ^ [], 10 ^ [])],extension(16,bind([[_9294, _9155, _9225], [unordered_pair(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.1.1.1.1.1.1',plain,[-(unordered_pair(10 ^ [], 11 ^ []) = unordered_pair(11 ^ [], 10 ^ []))],extension(13,bind([[_8890, _8845], [11 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.1.1.1.1.2',plain,[6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])] = 11 ^ [], -(11 ^ [] = 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])])],extension(18,bind([[_5543, _5498], [11 ^ [], 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]]))).
% 29.49/29.41 cnf('1.1.1.1.1.2.1',plain,[11 ^ [] = 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], -(in(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 12 ^ [])), in(11 ^ [], 12 ^ []), 12 ^ [] = 12 ^ []],extension(19,bind([[_6649, _6582, _6715, _6780], [6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 11 ^ [], 12 ^ [], 12 ^ []]]))).
% 29.49/29.41 cnf('1.1.1.1.1.2.1.1',plain,[in(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 12 ^ []), -(7 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])])],extension(6,bind([[_9896, _9840], [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]))).
% 29.49/29.41 cnf('1.1.1.1.1.2.1.1.1',plain,[7 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]],reduction('1.1.1')).
% 29.49/29.41 cnf('1.1.1.1.1.2.1.2',plain,[-(in(11 ^ [], 12 ^ [])), -(14 ^ [])],extension(2)).
% 29.49/29.41 cnf('1.1.1.1.1.2.1.2.1',plain,[14 ^ []],reduction('1')).
% 29.49/29.41 cnf('1.1.1.1.1.2.1.3',plain,[-(12 ^ [] = 12 ^ [])],extension(17,bind([[_5345], [12 ^ []]]))).
% 29.49/29.41 cnf('1.1.1.1.1.3',plain,[6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])] = 10 ^ [], -(10 ^ [] = 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])])],extension(18,bind([[_5543, _5498], [10 ^ [], 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]]))).
% 29.49/29.41 cnf('1.1.1.1.1.3.1',plain,[10 ^ [] = 6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], -(in(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 12 ^ [])), in(10 ^ [], 12 ^ []), 12 ^ [] = 12 ^ []],extension(19,bind([[_6649, _6582, _6715, _6780], [6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 10 ^ [], 12 ^ [], 12 ^ []]]))).
% 29.49/29.41 cnf('1.1.1.1.1.3.1.1',plain,[in(6 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])], 12 ^ []), -(7 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])])],extension(6,bind([[_9896, _9840], [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]))).
% 29.49/29.41 cnf('1.1.1.1.1.3.1.1.1',plain,[7 ^ [12 ^ [], unordered_pair(10 ^ [], 11 ^ [])]],reduction('1.1.1')).
% 29.49/29.41 cnf('1.1.1.1.1.3.1.2',plain,[-(in(10 ^ [], 12 ^ [])), -(14 ^ [])],extension(3)).
% 29.49/29.41 cnf('1.1.1.1.1.3.1.2.1',plain,[14 ^ []],reduction('1')).
% 29.49/29.41 cnf('1.1.1.1.1.3.1.3',plain,[-(12 ^ [] = 12 ^ [])],extension(17,bind([[_5345], [12 ^ []]]))).
% 29.49/29.41 cnf('1.2',plain,[-(13 ^ []), in(10 ^ [], 12 ^ []), in(11 ^ [], 12 ^ [])],extension(4)).
% 29.49/29.41 cnf('1.2.1',plain,[-(in(10 ^ [], 12 ^ [])), subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ []), in(10 ^ [], unordered_pair(10 ^ [], 11 ^ []))],extension(15,bind([[_9896, _10010, _9840], [12 ^ [], 10 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]))).
% 29.49/29.41 cnf('1.2.1.1',plain,[-(subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ [])), -(13 ^ [])],extension(5)).
% 29.49/29.41 cnf('1.2.1.1.1',plain,[13 ^ []],reduction('1')).
% 29.49/29.41 cnf('1.2.1.2',plain,[-(in(10 ^ [], unordered_pair(10 ^ [], 11 ^ []))), -(2 ^ [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]), 1 ^ [10 ^ [], unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]],extension(11,bind([[_9458, _9294, _9225, _9155], [10 ^ [], unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]]))).
% 29.49/29.41 cnf('1.2.1.2.1',plain,[2 ^ [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []], unordered_pair(10 ^ [], 11 ^ []) = unordered_pair(11 ^ [], 10 ^ [])],extension(16,bind([[_9294, _9155, _9225], [unordered_pair(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.2.1.2.1.1',plain,[-(unordered_pair(10 ^ [], 11 ^ []) = unordered_pair(11 ^ [], 10 ^ []))],extension(13,bind([[_8890, _8845], [11 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.2.1.2.2',plain,[-(1 ^ [10 ^ [], unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]), 10 ^ [] = 10 ^ []],extension(8,bind([[_9294, _9155, _9458, _9225], [unordered_pair(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.2.1.2.2.1',plain,[-(10 ^ [] = 10 ^ [])],extension(17,bind([[_5345], [10 ^ []]]))).
% 29.49/29.41 cnf('1.2.2',plain,[-(in(11 ^ [], 12 ^ [])), subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ []), in(11 ^ [], unordered_pair(10 ^ [], 11 ^ []))],extension(15,bind([[_9896, _10010, _9840], [12 ^ [], 11 ^ [], unordered_pair(10 ^ [], 11 ^ [])]]))).
% 29.49/29.41 cnf('1.2.2.1',plain,[-(subset(unordered_pair(10 ^ [], 11 ^ []), 12 ^ [])), -(13 ^ [])],extension(5)).
% 29.49/29.41 cnf('1.2.2.1.1',plain,[13 ^ []],reduction('1')).
% 29.49/29.41 cnf('1.2.2.2',plain,[-(in(11 ^ [], unordered_pair(10 ^ [], 11 ^ []))), -(2 ^ [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]), 1 ^ [11 ^ [], unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]],extension(11,bind([[_9458, _9294, _9225, _9155], [11 ^ [], unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]]))).
% 29.49/29.41 cnf('1.2.2.2.1',plain,[2 ^ [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []], unordered_pair(10 ^ [], 11 ^ []) = unordered_pair(11 ^ [], 10 ^ [])],extension(16,bind([[_9294, _9155, _9225], [unordered_pair(10 ^ [], 11 ^ []), 11 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.2.2.2.1.1',plain,[-(unordered_pair(10 ^ [], 11 ^ []) = unordered_pair(11 ^ [], 10 ^ []))],extension(13,bind([[_8890, _8845], [11 ^ [], 10 ^ []]]))).
% 29.49/29.41 cnf('1.2.2.2.2',plain,[-(1 ^ [11 ^ [], unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ []]), 11 ^ [] = 11 ^ []],extension(9,bind([[_9294, _9225, _9458, _9155], [unordered_pair(10 ^ [], 11 ^ []), 10 ^ [], 11 ^ [], 11 ^ []]]))).
% 29.49/29.41 cnf('1.2.2.2.2.1',plain,[-(11 ^ [] = 11 ^ [])],extension(17,bind([[_5345], [11 ^ []]]))).
% 29.49/29.41 %-----------------------------------------------------
% 29.49/29.42
% 29.49/29.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------