TSTP Solution File: SET879+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 02:56:47 EDT 2022
% Result : Theorem 0.38s 1.42s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 17:29:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.38/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.44
% 0.38/1.44 %-----------------------------------------------------
% 0.38/1.44 fof(t20_zfmisc_1, conjecture, ! [_15461, _15464] : (set_difference(singleton(_15461), singleton(_15464)) = singleton(_15461) <=> (! _15461) = _15464), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_zfmisc_1)).
% 0.38/1.44 fof(l34_zfmisc_1, axiom, ! [_15696, _15699] : (set_difference(singleton(_15696), _15699) = singleton(_15696) <=> ~ in(_15696, _15699)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l34_zfmisc_1)).
% 0.38/1.44 fof(d1_tarski, axiom, ! [_15891, _15894] : (_15894 = singleton(_15891) <=> ! [_15912] : (in(_15912, _15894) <=> _15912 = _15891)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.38/1.44
% 0.38/1.44 cnf(1, plain, [-(7 ^ []), set_difference(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ [])], clausify(t20_zfmisc_1)).
% 0.38/1.44 cnf(2, plain, [-(7 ^ []), 4 ^ [] = 5 ^ []], clausify(t20_zfmisc_1)).
% 0.38/1.44 cnf(3, plain, [-(6 ^ []), -(4 ^ [] = 5 ^ [])], clausify(t20_zfmisc_1)).
% 0.38/1.44 cnf(4, plain, [-(6 ^ []), -(set_difference(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []))], clausify(t20_zfmisc_1)).
% 0.38/1.44 cnf(5, plain, [6 ^ [], 7 ^ []], clausify(t20_zfmisc_1)).
% 0.38/1.44 cnf(6, plain, [set_difference(singleton(_8410), _8464) = singleton(_8410), in(_8410, _8464)], clausify(l34_zfmisc_1)).
% 0.38/1.44 cnf(7, plain, [-(set_difference(singleton(_8410), _8464) = singleton(_8410)), -(in(_8410, _8464))], clausify(l34_zfmisc_1)).
% 0.38/1.44 cnf(8, plain, [_7987 = singleton(_7929), in(_8119, _7987), -(_8119 = _7929)], clausify(d1_tarski)).
% 0.38/1.44 cnf(9, plain, [_7987 = singleton(_7929), -(in(_8119, _7987)), _8119 = _7929], clausify(d1_tarski)).
% 0.38/1.44 cnf(10, plain, [-(_4724 = _4724)], theory(equality)).
% 0.38/1.44
% 0.38/1.44 cnf('1',plain,[6 ^ [], 7 ^ []],start(5)).
% 0.38/1.44 cnf('1.1',plain,[-(6 ^ []), -(set_difference(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []))],extension(4)).
% 0.38/1.44 cnf('1.1.1',plain,[set_difference(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ []), in(4 ^ [], singleton(5 ^ []))],extension(6,bind([[_8410, _8464], [4 ^ [], singleton(5 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.1',plain,[-(in(4 ^ [], singleton(5 ^ []))), singleton(5 ^ []) = singleton(5 ^ []), 4 ^ [] = 5 ^ []],extension(9,bind([[_7987, _8119, _7929], [singleton(5 ^ []), 4 ^ [], 5 ^ []]]))).
% 0.38/1.44 cnf('1.1.1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(10,bind([[_4724], [singleton(5 ^ [])]]))).
% 0.38/1.44 cnf('1.1.1.1.2',plain,[-(4 ^ [] = 5 ^ []), -(6 ^ [])],extension(3)).
% 0.38/1.44 cnf('1.1.1.1.2.1',plain,[6 ^ []],reduction('1')).
% 0.38/1.44 cnf('1.2',plain,[-(7 ^ []), set_difference(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ [])],extension(1)).
% 0.38/1.44 cnf('1.2.1',plain,[-(set_difference(singleton(4 ^ []), singleton(5 ^ [])) = singleton(4 ^ [])), -(in(4 ^ [], singleton(5 ^ [])))],extension(7,bind([[_8410, _8464], [4 ^ [], singleton(5 ^ [])]]))).
% 0.38/1.44 cnf('1.2.1.1',plain,[in(4 ^ [], singleton(5 ^ [])), singleton(5 ^ []) = singleton(5 ^ []), -(4 ^ [] = 5 ^ [])],extension(8,bind([[_7987, _8119, _7929], [singleton(5 ^ []), 4 ^ [], 5 ^ []]]))).
% 0.38/1.44 cnf('1.2.1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(10,bind([[_4724], [singleton(5 ^ [])]]))).
% 0.38/1.44 cnf('1.2.1.1.2',plain,[4 ^ [] = 5 ^ [], -(7 ^ [])],extension(2)).
% 0.38/1.44 cnf('1.2.1.1.2.1',plain,[7 ^ []],reduction('1')).
% 0.38/1.44 %-----------------------------------------------------
% 0.38/1.44
% 0.38/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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