TSTP Solution File: SET971+1 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 : 300s
% DateTime : Fri May 19 11:56:45 EDT 2023
% Result : Theorem 0.31s 1.38s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n012.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 : 300
% 0.13/0.34 % DateTime : Thu May 18 18:56:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.31/1.38
% 0.31/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 ncf(matrix, plain, [(88 ^ _20091) ^ [] : [-(subset(83 ^ [], 84 ^ []))], (90 ^ _20091) ^ [] : [-(subset(85 ^ [], 86 ^ []))], (92 ^ _20091) ^ [] : [set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])) = cartesian_product2(83 ^ [], 85 ^ [])], (64 ^ _20091) ^ [_22275, _22277] : [-(set_intersection2(_22277, _22275) = set_intersection2(_22275, _22277))], (66 ^ _20091) ^ [_22375, _22377] : [-(set_intersection2(_22377, _22377) = _22377)], (69 ^ _20091) ^ [] : [-(empty(67 ^ []))], (72 ^ _20091) ^ [] : [empty(70 ^ [])], (74 ^ _20091) ^ [_22651, _22653] : [-(subset(_22653, _22653))], (76 ^ _20091) ^ [_22773, _22775, _22777, _22779] : [-(cartesian_product2(set_intersection2(_22779, _22777), set_intersection2(_22775, _22773)) = set_intersection2(cartesian_product2(_22779, _22775), cartesian_product2(_22777, _22773)))], (78 ^ _20091) ^ [_22884, _22886] : [subset(_22886, _22884), -(set_intersection2(_22886, _22884) = _22886)], (44 ^ _20091) ^ [_21614, _21616, _21618, _21620] : [-(set_intersection2(_21620, _21616) = set_intersection2(_21618, _21614)), _21620 = _21618, _21616 = _21614], (54 ^ _20091) ^ [_21953, _21955, _21957, _21959] : [-(cartesian_product2(_21959, _21955) = cartesian_product2(_21957, _21953)), _21959 = _21957, _21955 = _21953], (2 ^ _20091) ^ [_20235] : [-(_20235 = _20235)], (4 ^ _20091) ^ [_20342, _20344] : [_20344 = _20342, -(_20342 = _20344)], (10 ^ _20091) ^ [_20546, _20548, _20550] : [-(_20550 = _20546), _20550 = _20548, _20548 = _20546], (20 ^ _20091) ^ [_20859, _20861] : [-(empty(_20859)), _20861 = _20859, empty(_20861)], (30 ^ _20091) ^ [_21162, _21164, _21166, _21168] : [-(subset(_21166, _21162)), subset(_21168, _21164), _21168 = _21166, _21164 = _21162]], input).
% 0.31/1.38 ncf('1',plain,[set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])) = cartesian_product2(83 ^ [], 85 ^ [])],start(92 ^ 0)).
% 0.31/1.38 ncf('1.1',plain,[-(set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])) = cartesian_product2(83 ^ [], 85 ^ [])), set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])) = cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ [])), cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ [])) = cartesian_product2(83 ^ [], 85 ^ [])],extension(10 ^ 1,bind([[_20546, _20548, _20550], [cartesian_product2(83 ^ [], 85 ^ []), cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ [])), set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ []))]]))).
% 0.31/1.38 ncf('1.1.1',plain,[-(set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])) = cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ []))), cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ [])) = set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ []))],extension(4 ^ 2,bind([[_20342, _20344], [set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])), cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ []))]]))).
% 0.31/1.38 ncf('1.1.1.1',plain,[-(cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ [])) = set_intersection2(cartesian_product2(83 ^ [], 86 ^ []), cartesian_product2(84 ^ [], 85 ^ [])))],extension(76 ^ 3,bind([[_22773, _22775, _22777, _22779], [85 ^ [], 86 ^ [], 84 ^ [], 83 ^ []]]))).
% 0.31/1.38 ncf('1.1.2',plain,[-(cartesian_product2(set_intersection2(83 ^ [], 84 ^ []), set_intersection2(86 ^ [], 85 ^ [])) = cartesian_product2(83 ^ [], 85 ^ [])), set_intersection2(83 ^ [], 84 ^ []) = 83 ^ [], set_intersection2(86 ^ [], 85 ^ []) = 85 ^ []],extension(54 ^ 2,bind([[_21953, _21955, _21957, _21959], [85 ^ [], set_intersection2(86 ^ [], 85 ^ []), 83 ^ [], set_intersection2(83 ^ [], 84 ^ [])]]))).
% 0.31/1.38 ncf('1.1.2.1',plain,[-(set_intersection2(83 ^ [], 84 ^ []) = 83 ^ []), subset(83 ^ [], 84 ^ [])],extension(78 ^ 3,bind([[_22884, _22886], [84 ^ [], 83 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.1.1',plain,[-(subset(83 ^ [], 84 ^ []))],extension(88 ^ 4)).
% 0.31/1.38 ncf('1.1.2.2',plain,[-(set_intersection2(86 ^ [], 85 ^ []) = 85 ^ []), set_intersection2(86 ^ [], 85 ^ []) = set_intersection2(85 ^ [], 86 ^ []), set_intersection2(85 ^ [], 86 ^ []) = 85 ^ []],extension(10 ^ 3,bind([[_20546, _20548, _20550], [85 ^ [], set_intersection2(85 ^ [], 86 ^ []), set_intersection2(86 ^ [], 85 ^ [])]]))).
% 0.31/1.38 ncf('1.1.2.2.1',plain,[-(set_intersection2(86 ^ [], 85 ^ []) = set_intersection2(85 ^ [], 86 ^ []))],extension(64 ^ 4,bind([[_22275, _22277], [85 ^ [], 86 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.2.2',plain,[-(set_intersection2(85 ^ [], 86 ^ []) = 85 ^ []), subset(85 ^ [], 86 ^ [])],extension(78 ^ 4,bind([[_22884, _22886], [86 ^ [], 85 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.2.2.1',plain,[-(subset(85 ^ [], 86 ^ []))],extension(90 ^ 5)).
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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