TSTP Solution File: SYN078+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 08:15:41 EDT 2022
% Result : Theorem 0.34s 1.42s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 12:06:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.43
% 0.40/1.43 %-----------------------------------------------------
% 0.40/1.43 fof(pel56, conjecture, ! [_10148] : (? [_10156] : (big_p(_10156) & _10148 = f(_10156)) => big_p(_10148)) <=> ! [_10188] : (big_p(_10188) => big_p(f(_10188))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pel56)).
% 0.40/1.43
% 0.40/1.43 cnf(1, plain, [-(5 ^ []), big_p(_5194), -(big_p(f(_5194)))], clausify(pel56)).
% 0.40/1.43 cnf(2, plain, [-(5 ^ []), big_p(3 ^ [])], clausify(pel56)).
% 0.40/1.43 cnf(3, plain, [-(5 ^ []), -(3 ^ [] = f(4 ^ []))], clausify(pel56)).
% 0.40/1.43 cnf(4, plain, [-(5 ^ []), -(big_p(4 ^ []))], clausify(pel56)).
% 0.40/1.43 cnf(5, plain, [-(2 ^ []), -(big_p(_4912)), big_p(_4974), _4912 = f(_4974)], clausify(pel56)).
% 0.40/1.43 cnf(6, plain, [-(2 ^ []), big_p(f(1 ^ []))], clausify(pel56)).
% 0.40/1.43 cnf(7, plain, [-(2 ^ []), -(big_p(1 ^ []))], clausify(pel56)).
% 0.40/1.43 cnf(8, plain, [5 ^ [], 2 ^ []], clausify(pel56)).
% 0.40/1.43 cnf(9, plain, [-(big_p(_4262)), _4213 = _4262, big_p(_4213)], theory(equality)).
% 0.40/1.43 cnf(10, plain, [-(_3315 = _3315)], theory(equality)).
% 0.40/1.43 cnf(11, plain, [_3468 = _3513, -(_3513 = _3468)], theory(equality)).
% 0.40/1.43
% 0.40/1.43 cnf('1',plain,[5 ^ [], 2 ^ []],start(8)).
% 0.40/1.43 cnf('1.1',plain,[-(5 ^ []), -(3 ^ [] = f(4 ^ []))],extension(3)).
% 0.40/1.43 cnf('1.1.1',plain,[3 ^ [] = f(4 ^ []), -(f(4 ^ []) = 3 ^ [])],extension(11,bind([[_3513, _3468], [f(4 ^ []), 3 ^ []]]))).
% 0.40/1.43 cnf('1.1.1.1',plain,[f(4 ^ []) = 3 ^ [], -(big_p(3 ^ [])), big_p(f(4 ^ []))],extension(9,bind([[_4262, _4213], [3 ^ [], f(4 ^ [])]]))).
% 0.40/1.43 cnf('1.1.1.1.1',plain,[big_p(3 ^ []), -(5 ^ [])],extension(2)).
% 0.40/1.43 cnf('1.1.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 0.40/1.43 cnf('1.1.1.1.2',plain,[-(big_p(f(4 ^ []))), -(5 ^ []), big_p(4 ^ [])],extension(1,bind([[_5194], [4 ^ []]]))).
% 0.40/1.43 cnf('1.1.1.1.2.1',plain,[5 ^ []],reduction('1')).
% 0.40/1.43 cnf('1.1.1.1.2.2',plain,[-(big_p(4 ^ [])), -(5 ^ [])],extension(4)).
% 0.40/1.43 cnf('1.1.1.1.2.2.1',plain,[5 ^ []],lemmata('1.1.1.1.2')).
% 0.40/1.43 cnf('1.2',plain,[-(2 ^ []), -(big_p(1 ^ []))],extension(7)).
% 0.40/1.43 cnf('1.2.1',plain,[big_p(1 ^ []), -(big_p(1 ^ [])), 1 ^ [] = 1 ^ []],extension(9,bind([[_4213, _4262], [1 ^ [], 1 ^ []]]))).
% 0.40/1.43 cnf('1.2.1.1',plain,[big_p(1 ^ []), -(2 ^ []), -(big_p(f(1 ^ []))), f(1 ^ []) = f(1 ^ [])],extension(5,bind([[_4912, _4974], [f(1 ^ []), 1 ^ []]]))).
% 0.40/1.43 cnf('1.2.1.1.1',plain,[2 ^ []],reduction('1')).
% 0.40/1.43 cnf('1.2.1.1.2',plain,[big_p(f(1 ^ [])), -(2 ^ [])],extension(6)).
% 0.40/1.43 cnf('1.2.1.1.2.1',plain,[2 ^ []],lemmata('1.2.1.1')).
% 0.40/1.43 cnf('1.2.1.1.3',plain,[-(f(1 ^ []) = f(1 ^ []))],extension(10,bind([[_3315], [f(1 ^ [])]]))).
% 0.40/1.43 cnf('1.2.1.2',plain,[-(1 ^ [] = 1 ^ [])],extension(10,bind([[_3315], [1 ^ []]]))).
% 0.40/1.43 %-----------------------------------------------------
% 0.40/1.43
% 0.40/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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