TSTP Solution File: SET930+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 02:57:10 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n010.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 : Sat Jul 9 21:16:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(t74_zfmisc_1, conjecture, ! [_23691, _23694, _23697] : ~ ((! set_difference(unordered_pair(_23691, _23694), _23697)) = empty_set & (! set_difference(unordered_pair(_23691, _23694), _23697)) = singleton(_23691) & (! set_difference(unordered_pair(_23691, _23694), _23697)) = singleton(_23694) & (! set_difference(unordered_pair(_23691, _23694), _23697)) = unordered_pair(_23691, _23694)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t74_zfmisc_1)).
% 0.38/1.42 fof(commutativity_k2_tarski, axiom, ! [_24119, _24122] : unordered_pair(_24119, _24122) = unordered_pair(_24122, _24119), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 0.38/1.42 fof(l39_zfmisc_1, axiom, ! [_24268, _24271, _24274] : (set_difference(unordered_pair(_24268, _24271), _24274) = singleton(_24268) <=> ~ in(_24268, _24274) & (in(_24271, _24274) | _24268 = _24271)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l39_zfmisc_1)).
% 0.38/1.42 fof(t72_zfmisc_1, axiom, ! [_24526, _24529, _24532] : (set_difference(unordered_pair(_24526, _24529), _24532) = unordered_pair(_24526, _24529) <=> ~ in(_24526, _24532) & ~ in(_24529, _24532)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t72_zfmisc_1)).
% 0.38/1.42 fof(t73_zfmisc_1, axiom, ! [_24771, _24774, _24777] : (set_difference(unordered_pair(_24771, _24774), _24777) = empty_set <=> in(_24771, _24777) & in(_24774, _24777)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t73_zfmisc_1)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set], clausify(t74_zfmisc_1)).
% 0.38/1.42 cnf(2, plain, [set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])], clausify(t74_zfmisc_1)).
% 0.38/1.42 cnf(3, plain, [set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(4 ^ [])], clausify(t74_zfmisc_1)).
% 0.38/1.42 cnf(4, plain, [set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])], clausify(t74_zfmisc_1)).
% 0.38/1.42 cnf(5, plain, [-(unordered_pair(_10351, _10396) = unordered_pair(_10396, _10351))], clausify(commutativity_k2_tarski)).
% 0.38/1.42 cnf(6, plain, [-(set_difference(unordered_pair(_10773, _10845), _10916) = singleton(_10773)), -(in(_10773, _10916)), in(_10845, _10916)], clausify(l39_zfmisc_1)).
% 0.38/1.42 cnf(7, plain, [-(set_difference(unordered_pair(_11792, _11861), _11929) = unordered_pair(_11792, _11861)), -(in(_11792, _11929)), -(in(_11861, _11929))], clausify(t72_zfmisc_1)).
% 0.38/1.42 cnf(8, plain, [-(set_difference(unordered_pair(_12431, _12493), _12554) = empty_set), in(_12431, _12554), in(_12493, _12554)], clausify(t73_zfmisc_1)).
% 0.38/1.42 cnf(9, plain, [-(set_difference(_8388, _8521) = set_difference(_8455, _8586)), _8388 = _8455, _8521 = _8586], theory(equality)).
% 0.38/1.42 cnf(10, plain, [-(_6507 = _6507)], theory(equality)).
% 0.38/1.42 cnf(11, plain, [-(_6939 = _7050), _6939 = _6995, _6995 = _7050], theory(equality)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(4 ^ [])],start(3)).
% 0.38/1.42 cnf('1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(4 ^ [])), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = set_difference(unordered_pair(4 ^ [], 3 ^ []), 5 ^ []), set_difference(unordered_pair(4 ^ [], 3 ^ []), 5 ^ []) = singleton(4 ^ [])],extension(11,bind([[_6939, _6995, _7050], [set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []), set_difference(unordered_pair(4 ^ [], 3 ^ []), 5 ^ []), singleton(4 ^ [])]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = set_difference(unordered_pair(4 ^ [], 3 ^ []), 5 ^ [])), unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 3 ^ []), 5 ^ [] = 5 ^ []],extension(9,bind([[_8388, _8455, _8521, _8586], [unordered_pair(3 ^ [], 4 ^ []), unordered_pair(4 ^ [], 3 ^ []), 5 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1',plain,[-(unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 3 ^ []))],extension(5,bind([[_10396, _10351], [4 ^ [], 3 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.2',plain,[-(5 ^ [] = 5 ^ [])],extension(10,bind([[_6507], [5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2',plain,[-(set_difference(unordered_pair(4 ^ [], 3 ^ []), 5 ^ []) = singleton(4 ^ [])), -(in(4 ^ [], 5 ^ [])), in(3 ^ [], 5 ^ [])],extension(6,bind([[_10773, _10845, _10916], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1',plain,[in(4 ^ [], 5 ^ []), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])), -(in(3 ^ [], 5 ^ []))],extension(6,bind([[_10845, _10773, _10916], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1.1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])],extension(2)).
% 0.38/1.42 cnf('1.1.2.1.2',plain,[in(3 ^ [], 5 ^ []), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set), in(4 ^ [], 5 ^ [])],extension(8,bind([[_12431, _12493, _12554], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1.2.1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = empty_set],extension(1)).
% 0.38/1.42 cnf('1.1.2.1.2.2',plain,[-(in(4 ^ [], 5 ^ []))],reduction('1.1.2')).
% 0.38/1.42 cnf('1.1.2.2',plain,[-(in(3 ^ [], 5 ^ [])), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])), in(4 ^ [], 5 ^ [])],extension(6,bind([[_10773, _10845, _10916], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.2.1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = singleton(3 ^ [])],extension(2)).
% 0.38/1.42 cnf('1.1.2.2.2',plain,[-(in(4 ^ [], 5 ^ [])), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])), -(in(3 ^ [], 5 ^ []))],extension(7,bind([[_11861, _11792, _11929], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.2.2.1',plain,[set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])],extension(4)).
% 0.38/1.42 cnf('1.1.2.2.2.2',plain,[in(3 ^ [], 5 ^ [])],reduction('1.1.2')).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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