TSTP Solution File: SET927+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 02:57:09 EDT 2022
% Result : Theorem 0.42s 1.43s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 05:18:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.42/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.44
% 0.42/1.44 %-----------------------------------------------------
% 0.42/1.44 fof(t70_zfmisc_1, conjecture, ! [_18217, _18220, _18223] : (set_difference(unordered_pair(_18217, _18220), _18223) = singleton(_18217) <=> ~ in(_18217, _18223) & (in(_18220, _18223) | _18217 = _18220)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t70_zfmisc_1)).
% 0.42/1.44 fof(l39_zfmisc_1, axiom, ! [_18551, _18554, _18557] : (set_difference(unordered_pair(_18551, _18554), _18557) = singleton(_18551) <=> ~ in(_18551, _18557) & (in(_18554, _18557) | _18551 = _18554)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l39_zfmisc_1)).
% 0.42/1.44
% 0.42/1.44 cnf(1, plain, [-(8 ^ []), -(in(4 ^ [], 5 ^ [])), -(3 ^ [] = 4 ^ [])], clausify(t70_zfmisc_1)).
% 0.42/1.44 cnf(2, plain, [-(8 ^ []), in(3 ^ [], 5 ^ [])], clausify(t70_zfmisc_1)).
% 0.42/1.44 cnf(3, plain, [-(8 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])], clausify(t70_zfmisc_1)).
% 0.42/1.44 cnf(4, plain, [-(6 ^ []), 3 ^ [] = 4 ^ []], clausify(t70_zfmisc_1)).
% 0.42/1.44 cnf(5, plain, [-(6 ^ []), in(4 ^ [], 5 ^ [])], clausify(t70_zfmisc_1)).
% 0.42/1.45 cnf(6, plain, [-(7 ^ []), -(in(3 ^ [], 5 ^ [])), 6 ^ []], clausify(t70_zfmisc_1)).
% 0.42/1.45 cnf(7, plain, [-(7 ^ []), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ []))], clausify(t70_zfmisc_1)).
% 0.42/1.45 cnf(8, plain, [7 ^ [], 8 ^ []], clausify(t70_zfmisc_1)).
% 0.42/1.45 cnf(9, plain, [set_difference(unordered_pair(_9495, _9567), _9638) = singleton(_9495), in(_9495, _9638)], clausify(l39_zfmisc_1)).
% 0.42/1.45 cnf(10, plain, [set_difference(unordered_pair(_9495, _9567), _9638) = singleton(_9495), -(in(_9567, _9638)), -(_9495 = _9567)], clausify(l39_zfmisc_1)).
% 0.42/1.45 cnf(11, plain, [-(set_difference(unordered_pair(_9495, _9567), _9638) = singleton(_9495)), -(in(_9495, _9638)), in(_9567, _9638)], clausify(l39_zfmisc_1)).
% 0.42/1.45 cnf(12, plain, [-(set_difference(unordered_pair(_9495, _9567), _9638) = singleton(_9495)), -(in(_9495, _9638)), _9495 = _9567], clausify(l39_zfmisc_1)).
% 0.42/1.45
% 0.42/1.45 cnf('1',plain,[7 ^ [], 8 ^ []],start(8)).
% 0.42/1.45 cnf('1.1',plain,[-(7 ^ []), -(in(3 ^ [], 5 ^ [])), 6 ^ []],extension(6)).
% 0.42/1.45 cnf('1.1.1',plain,[in(3 ^ [], 5 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])],extension(9,bind([[_9567, _9638, _9495], [4 ^ [], 5 ^ [], 3 ^ []]]))).
% 0.42/1.45 cnf('1.1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])), -(7 ^ [])],extension(7)).
% 0.42/1.45 cnf('1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.42/1.45 cnf('1.1.2',plain,[-(6 ^ []), 3 ^ [] = 4 ^ []],extension(4)).
% 0.42/1.45 cnf('1.1.2.1',plain,[-(3 ^ [] = 4 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ []), -(in(4 ^ [], 5 ^ []))],extension(10,bind([[_9495, _9567, _9638], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.42/1.45 cnf('1.1.2.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])), -(7 ^ [])],extension(7)).
% 0.42/1.45 cnf('1.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.42/1.45 cnf('1.1.2.1.2',plain,[in(4 ^ [], 5 ^ []), -(6 ^ [])],extension(5)).
% 0.42/1.45 cnf('1.1.2.1.2.1',plain,[6 ^ []],reduction('1.1')).
% 0.42/1.45 cnf('1.2',plain,[-(8 ^ []), -(in(4 ^ [], 5 ^ [])), -(3 ^ [] = 4 ^ [])],extension(1)).
% 0.42/1.45 cnf('1.2.1',plain,[in(4 ^ [], 5 ^ []), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])), -(in(3 ^ [], 5 ^ []))],extension(11,bind([[_9567, _9495, _9638], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.42/1.45 cnf('1.2.1.1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ []), -(8 ^ [])],extension(3)).
% 0.42/1.45 cnf('1.2.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.42/1.45 cnf('1.2.1.2',plain,[in(3 ^ [], 5 ^ []), -(8 ^ [])],extension(2)).
% 0.42/1.45 cnf('1.2.1.2.1',plain,[8 ^ []],reduction('1')).
% 0.42/1.45 cnf('1.2.2',plain,[3 ^ [] = 4 ^ [], -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])), -(in(3 ^ [], 5 ^ []))],extension(12,bind([[_9567, _9495, _9638], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.42/1.45 cnf('1.2.2.1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ []), -(8 ^ [])],extension(3)).
% 0.42/1.45 cnf('1.2.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.42/1.45 cnf('1.2.2.2',plain,[in(3 ^ [], 5 ^ []), -(8 ^ [])],extension(2)).
% 0.42/1.45 cnf('1.2.2.2.1',plain,[8 ^ []],reduction('1')).
% 0.42/1.45 %-----------------------------------------------------
% 0.42/1.45
% 0.42/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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