TSTP Solution File: SET968+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 02:57:24 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Mon Jul 11 02:49:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(t121_zfmisc_1, conjecture, ! [_18734, _18737, _18740, _18743] : cartesian_product2(set_union2(_18734, _18737), set_union2(_18740, _18743)) = set_union2(set_union2(set_union2(cartesian_product2(_18734, _18740), cartesian_product2(_18734, _18743)), cartesian_product2(_18737, _18740)), cartesian_product2(_18737, _18743)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t121_zfmisc_1)).
% 0.32/1.41 fof(t120_zfmisc_1, axiom, ! [_19035, _19038, _19041] : (cartesian_product2(set_union2(_19035, _19038), _19041) = set_union2(cartesian_product2(_19035, _19041), cartesian_product2(_19038, _19041)) & cartesian_product2(_19041, set_union2(_19035, _19038)) = set_union2(cartesian_product2(_19041, _19035), cartesian_product2(_19041, _19038))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t120_zfmisc_1)).
% 0.32/1.41 fof(t4_xboole_1, axiom, ! [_19356, _19359, _19362] : set_union2(set_union2(_19356, _19359), _19362) = set_union2(_19356, set_union2(_19359, _19362)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_xboole_1)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [cartesian_product2(set_union2(3 ^ [], 4 ^ []), set_union2(5 ^ [], 6 ^ [])) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))], clausify(t121_zfmisc_1)).
% 0.32/1.41 cnf(2, plain, [-(cartesian_product2(set_union2(_10144, _10224), _10303) = set_union2(cartesian_product2(_10144, _10303), cartesian_product2(_10224, _10303)))], clausify(t120_zfmisc_1)).
% 0.32/1.41 cnf(3, plain, [-(cartesian_product2(_10303, set_union2(_10144, _10224)) = set_union2(cartesian_product2(_10303, _10144), cartesian_product2(_10303, _10224)))], clausify(t120_zfmisc_1)).
% 0.32/1.41 cnf(4, plain, [-(set_union2(set_union2(_10969, _11025), _11080) = set_union2(_10969, set_union2(_11025, _11080)))], clausify(t4_xboole_1)).
% 0.32/1.41 cnf(5, plain, [-(set_union2(_7874, _8007) = set_union2(_7941, _8072)), _7874 = _7941, _8007 = _8072], theory(equality)).
% 0.32/1.41 cnf(6, plain, [_6171 = _6216, -(_6216 = _6171)], theory(equality)).
% 0.32/1.41 cnf(7, plain, [-(_6450 = _6561), _6450 = _6506, _6506 = _6561], theory(equality)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[cartesian_product2(set_union2(3 ^ [], 4 ^ []), set_union2(5 ^ [], 6 ^ [])) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))],start(1)).
% 0.32/1.41 cnf('1.1',plain,[-(cartesian_product2(set_union2(3 ^ [], 4 ^ []), set_union2(5 ^ [], 6 ^ [])) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))), cartesian_product2(set_union2(3 ^ [], 4 ^ []), set_union2(5 ^ [], 6 ^ [])) = set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))), set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))],extension(7,bind([[_6450, _6506, _6561], [cartesian_product2(set_union2(3 ^ [], 4 ^ []), set_union2(5 ^ [], 6 ^ [])), set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))), set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(cartesian_product2(set_union2(3 ^ [], 4 ^ []), set_union2(5 ^ [], 6 ^ [])) = set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))))],extension(2,bind([[_10144, _10224, _10303], [3 ^ [], 4 ^ [], set_union2(5 ^ [], 6 ^ [])]]))).
% 0.32/1.41 cnf('1.1.2',plain,[-(set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))), set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))) = set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))), set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))],extension(7,bind([[_6450, _6506, _6561], [set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))), set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))), set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))]]))).
% 0.32/1.41 cnf('1.1.2.1',plain,[-(set_union2(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ []))) = set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ [])))), cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])) = set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ [])) = set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))],extension(5,bind([[_7874, _7941, _8007, _8072], [cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])), set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))]]))).
% 0.32/1.41 cnf('1.1.2.1.1',plain,[-(cartesian_product2(3 ^ [], set_union2(5 ^ [], 6 ^ [])) = set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])))],extension(3,bind([[_10144, _10303, _10224], [5 ^ [], 3 ^ [], 6 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.1.2',plain,[-(cartesian_product2(4 ^ [], set_union2(5 ^ [], 6 ^ [])) = set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ [])))],extension(3,bind([[_10144, _10303, _10224], [5 ^ [], 4 ^ [], 6 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2',plain,[-(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ []))), set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ [])) = set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ [])))],extension(6,bind([[_6171, _6216], [set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ [])), set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ [])))]]))).
% 0.32/1.41 cnf('1.1.2.2.1',plain,[-(set_union2(set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ [])), cartesian_product2(4 ^ [], 6 ^ [])) = set_union2(set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), set_union2(cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ []))))],extension(4,bind([[_10969, _11025, _11080], [set_union2(cartesian_product2(3 ^ [], 5 ^ []), cartesian_product2(3 ^ [], 6 ^ [])), cartesian_product2(4 ^ [], 5 ^ []), cartesian_product2(4 ^ [], 6 ^ [])]]))).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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