TSTP Solution File: SET985+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET985+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.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 : 300s
% DateTime : Fri May 19 11:56:46 EDT 2023
% Result : Theorem 43.32s 42.78s
% Output : Proof 43.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET985+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n016.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 19:47:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.32/42.78
% 43.32/42.78 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.32/42.78 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.32/42.78 %-----------------------------------------------------
% 43.32/42.78 ncf(matrix, plain, [(102 ^ _26111) ^ [] : [-(subset(cartesian_product2(95 ^ [], 98 ^ []), cartesian_product2(99 ^ [], 100 ^ []))), -(subset(cartesian_product2(98 ^ [], 95 ^ []), cartesian_product2(100 ^ [], 99 ^ [])))], (108 ^ _26111) ^ [] : [subset(98 ^ [], 100 ^ [])], (97 ^ _26111) ^ [] : [empty(95 ^ [])], !, (10 ^ _22867) ^ [_23302, _23304, _23306] : [-(_23306 = _23302), _23306 = _23304, _23304 = _23302], (74 ^ _22867) ^ [_25296, _25298] : [75 ^ _22867 : [(78 ^ _22867) ^ [] : [_25296 = empty_set], (76 ^ _22867) ^ [] : [_25298 = empty_set]], -(cartesian_product2(_25298, _25296) = empty_set)], (82 ^ _22867) ^ [_25616, _25618, _25620, _25622] : [subset(cartesian_product2(_25622, _25620), cartesian_product2(_25618, _25616)), -(cartesian_product2(_25622, _25620) = empty_set), 89 ^ _22867 : [(92 ^ _22867) ^ [] : [-(subset(_25620, _25616))], (90 ^ _22867) ^ [] : [-(subset(_25622, _25618))]]], (57 ^ _22867) ^ [] : [-(empty(55 ^ []))], (2 ^ _22867) ^ [_22991] : [-(_22991 = _22991)], (94 ^ _22867) ^ [_25984] : [-(subset(empty_set, _25984))], (54 ^ _22867) ^ [] : [-(empty(empty_set))], (64 ^ _22867) ^ [_25038, _25040] : [cartesian_product2(_25040, _25038) = empty_set, -(_25040 = empty_set), -(_25038 = empty_set)], (20 ^ _22867) ^ [_23615, _23617] : [-(empty(_23615)), _23617 = _23615, empty(_23617)], (4 ^ _22867) ^ [_23098, _23100] : [_23100 = _23098, -(_23098 = _23100)], (60 ^ _22867) ^ [] : [empty(58 ^ [])], (30 ^ _22867) ^ [_23918, _23920, _23922, _23924] : [-(subset(_23922, _23918)), subset(_23924, _23920), _23924 = _23922, _23920 = _23918], (62 ^ _22867) ^ [_24900, _24902] : [-(subset(_24902, _24902))], (44 ^ _22867) ^ [_24350, _24352, _24354, _24356] : [-(cartesian_product2(_24356, _24352) = cartesian_product2(_24354, _24350)), _24356 = _24354, _24352 = _24350]], input).
% 43.32/42.78 ncf('1',plain,[-(subset(cartesian_product2(95 ^ [], 98 ^ []), cartesian_product2(99 ^ [], 100 ^ []))), -(subset(cartesian_product2(98 ^ [], 95 ^ []), cartesian_product2(100 ^ [], 99 ^ [])))],start(102 ^ 0)).
% 43.32/42.78 ncf('1.1',plain,[subset(cartesian_product2(95 ^ [], 98 ^ []), cartesian_product2(99 ^ [], 100 ^ [])), -(cartesian_product2(95 ^ [], 98 ^ []) = empty_set), 92 : -(subset(98 ^ [], 100 ^ []))],extension(82 ^ 1,bind([[_25616, _25618, _25620, _25622], [100 ^ [], 99 ^ [], 98 ^ [], 95 ^ []]]))).
% 43.32/42.78 ncf('1.1.1',plain,[cartesian_product2(95 ^ [], 98 ^ []) = empty_set, -(95 ^ [] = empty_set), -(98 ^ [] = empty_set)],extension(64 ^ 2,bind([[_25038, _25040], [98 ^ [], 95 ^ []]]))).
% 43.32/42.78 ncf('1.1.1.1',plain,[95 ^ [] = empty_set, -(empty_set = 95 ^ [])],extension(4 ^ 3,bind([[_23098, _23100], [empty_set, 95 ^ []]]))).
% 43.32/42.78 ncf('1.1.1.1.1',plain,[empty_set = 95 ^ [], -(empty_set = 95 ^ []), 95 ^ [] = 95 ^ []],extension(10 ^ 4,bind([[_23302, _23304, _23306], [95 ^ [], 95 ^ [], empty_set]]))).
% 43.32/42.78 ncf('1.1.1.1.1.1',plain,[empty_set = 95 ^ [], -(empty(95 ^ [])), empty(empty_set)],extension(20 ^ 5,bind([[_23615, _23617], [95 ^ [], empty_set]]))).
% 43.32/42.78 ncf('1.1.1.1.1.1.1',plain,[empty(95 ^ [])],extension(97 ^ 6)).
% 43.32/42.78 ncf('1.1.1.1.1.1.2',plain,[-(empty(empty_set))],extension(54 ^ 6)).
% 43.32/42.78 ncf('1.1.1.1.1.2',plain,[-(95 ^ [] = 95 ^ []), 95 ^ [] = empty_set, empty_set = 95 ^ []],extension(10 ^ 5,bind([[_23302, _23304, _23306], [95 ^ [], empty_set, 95 ^ []]]))).
% 43.32/42.78 ncf('1.1.1.1.1.2.1',plain,[-(95 ^ [] = empty_set)],reduction('1.1.1')).
% 43.32/42.78 ncf('1.1.1.1.1.2.2',plain,[-(empty_set = 95 ^ [])],reduction('1.1.1.1')).
% 43.32/42.78 ncf('1.1.1.2',plain,[98 ^ [] = empty_set, -(empty_set = 98 ^ [])],extension(4 ^ 3,bind([[_23098, _23100], [empty_set, 98 ^ []]]))).
% 43.32/42.78 ncf('1.1.1.2.1',plain,[empty_set = 98 ^ [], -(subset(98 ^ [], 100 ^ [])), subset(empty_set, 100 ^ []), 100 ^ [] = 100 ^ []],extension(30 ^ 4,bind([[_23918, _23920, _23922, _23924], [100 ^ [], 100 ^ [], 98 ^ [], empty_set]]))).
% 43.32/42.78 ncf('1.1.1.2.1.1',plain,[subset(98 ^ [], 100 ^ [])],extension(108 ^ 5)).
% 43.32/42.78 ncf('1.1.1.2.1.2',plain,[-(subset(empty_set, 100 ^ []))],extension(94 ^ 5,bind([[_25984], [100 ^ []]]))).
% 43.32/42.78 ncf('1.1.1.2.1.3',plain,[-(100 ^ [] = 100 ^ [])],extension(2 ^ 5,bind([[_22991], [100 ^ []]]))).
% 43.32/42.78 ncf('1.1.2',plain,[subset(98 ^ [], 100 ^ [])],extension(108 ^ 4)).
% 43.32/42.78 ncf('1.2',plain,[subset(cartesian_product2(98 ^ [], 95 ^ []), cartesian_product2(100 ^ [], 99 ^ [])), -(cartesian_product2(98 ^ [], 95 ^ []) = empty_set), 90 : -(subset(98 ^ [], 100 ^ []))],extension(82 ^ 1,bind([[_25616, _25618, _25620, _25622], [99 ^ [], 100 ^ [], 95 ^ [], 98 ^ []]]))).
% 43.32/42.78 ncf('1.2.1',plain,[cartesian_product2(98 ^ [], 95 ^ []) = empty_set, -(98 ^ [] = empty_set), -(95 ^ [] = empty_set)],extension(64 ^ 2,bind([[_25038, _25040], [95 ^ [], 98 ^ []]]))).
% 43.32/42.78 ncf('1.2.1.1',plain,[98 ^ [] = empty_set, -(empty_set = 98 ^ [])],extension(4 ^ 3,bind([[_23098, _23100], [empty_set, 98 ^ []]]))).
% 43.32/42.78 ncf('1.2.1.1.1',plain,[empty_set = 98 ^ [], -(subset(98 ^ [], 100 ^ [])), subset(empty_set, 100 ^ []), 100 ^ [] = 100 ^ []],extension(30 ^ 4,bind([[_23918, _23920, _23922, _23924], [100 ^ [], 100 ^ [], 98 ^ [], empty_set]]))).
% 43.32/42.78 ncf('1.2.1.1.1.1',plain,[subset(98 ^ [], 100 ^ [])],extension(108 ^ 5)).
% 43.32/42.78 ncf('1.2.1.1.1.2',plain,[-(subset(empty_set, 100 ^ []))],extension(94 ^ 5,bind([[_25984], [100 ^ []]]))).
% 43.32/42.78 ncf('1.2.1.1.1.3',plain,[-(100 ^ [] = 100 ^ [])],extension(2 ^ 5,bind([[_22991], [100 ^ []]]))).
% 43.32/42.78 ncf('1.2.1.2',plain,[95 ^ [] = empty_set, -(empty_set = 95 ^ [])],extension(4 ^ 3,bind([[_23098, _23100], [empty_set, 95 ^ []]]))).
% 43.32/42.78 ncf('1.2.1.2.1',plain,[empty_set = 95 ^ [], -(empty_set = 95 ^ []), 95 ^ [] = 95 ^ []],extension(10 ^ 4,bind([[_23302, _23304, _23306], [95 ^ [], 95 ^ [], empty_set]]))).
% 43.32/42.78 ncf('1.2.1.2.1.1',plain,[empty_set = 95 ^ [], -(empty(95 ^ [])), empty(empty_set)],extension(20 ^ 5,bind([[_23615, _23617], [95 ^ [], empty_set]]))).
% 43.32/42.78 ncf('1.2.1.2.1.1.1',plain,[empty(95 ^ [])],extension(97 ^ 6)).
% 43.32/42.78 ncf('1.2.1.2.1.1.2',plain,[-(empty(empty_set))],extension(54 ^ 6)).
% 43.32/42.78 ncf('1.2.1.2.1.2',plain,[-(95 ^ [] = 95 ^ []), 95 ^ [] = empty_set, empty_set = 95 ^ []],extension(10 ^ 5,bind([[_23302, _23304, _23306], [95 ^ [], empty_set, 95 ^ []]]))).
% 43.32/42.78 ncf('1.2.1.2.1.2.1',plain,[-(95 ^ [] = empty_set)],reduction('1.2.1')).
% 43.32/42.78 ncf('1.2.1.2.1.2.2',plain,[-(empty_set = 95 ^ [])],reduction('1.2.1.2')).
% 43.32/42.78 ncf('1.2.2',plain,[subset(98 ^ [], 100 ^ [])],extension(108 ^ 4)).
% 43.32/42.78 %-----------------------------------------------------
% 43.32/42.78 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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