TSTP Solution File: SET618+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 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 11:56:08 EDT 2023
% Result : Theorem 0.37s 1.38s
% Output : Proof 0.37s
% 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 : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % 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 19:27:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.37/1.38
% 0.37/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.38 %-----------------------------------------------------
% 0.37/1.38 ncf(matrix, plain, [(184 ^ _26928) ^ [] : [symmetric_difference(182 ^ [], 182 ^ []) = empty_set], (88 ^ _26928) ^ [_29921, _29923] : [-(symmetric_difference(_29923, _29921) = union(difference(_29923, _29921), difference(_29921, _29923)))], (90 ^ _26928) ^ [_30013] : [-(union(_30013, _30013) = _30013)], (92 ^ _26928) ^ [_30094] : [-(difference(_30094, _30094) = empty_set)], (94 ^ _26928) ^ [_30174] : [member(_30174, empty_set)], (96 ^ _26928) ^ [_30310, _30312] : [_30312 = _30310, 99 ^ _26928 : [(100 ^ _26928) ^ [] : [-(subset(_30312, _30310))], (102 ^ _26928) ^ [] : [-(subset(_30310, _30312))]]], (104 ^ _26928) ^ [_30547, _30549] : [-(_30549 = _30547), subset(_30549, _30547), subset(_30547, _30549)], (114 ^ _26928) ^ [_30833, _30835] : [-(union(_30835, _30833) = union(_30833, _30835))], (116 ^ _26928) ^ [_30933, _30935] : [-(symmetric_difference(_30935, _30933) = symmetric_difference(_30933, _30935))], (134 ^ _26928) ^ [_31594, _31596] : [-(_31596 = _31594), 138 ^ _26928 : [(139 ^ _26928) ^ [] : [-(member(135 ^ [_31594, _31596], _31596))], (141 ^ _26928) ^ [] : [member(135 ^ [_31594, _31596], _31594)]], 142 ^ _26928 : [(143 ^ _26928) ^ [] : [-(member(135 ^ [_31594, _31596], _31594))], (145 ^ _26928) ^ [] : [member(135 ^ [_31594, _31596], _31596)]]], (118 ^ _26928) ^ [_31077, _31079] : [_31079 = _31077, 121 ^ _26928 : [(122 ^ _26928) ^ [_31243] : [member(_31243, _31079), -(member(_31243, _31077))], (128 ^ _26928) ^ [_31415] : [member(_31415, _31077), -(member(_31415, _31079))]]], (168 ^ _26928) ^ [_32797] : [-(subset(_32797, _32797))], (170 ^ _26928) ^ [_32899] : [empty(_32899), 173 ^ _26928 : [(174 ^ _26928) ^ [_33010] : [member(_33010, _32899)]]], (176 ^ _26928) ^ [_33076] : [-(member(177 ^ [_33076], _33076)), -(empty(_33076))], (159 ^ _26928) ^ [_32469, _32471] : [161 ^ _26928 : [(162 ^ _26928) ^ [] : [-(member(160 ^ [_32469, _32471], _32471))], (164 ^ _26928) ^ [] : [member(160 ^ [_32469, _32471], _32469)]], -(subset(_32471, _32469))], (149 ^ _26928) ^ [_32155, _32157] : [subset(_32157, _32155), 152 ^ _26928 : [(153 ^ _26928) ^ [_32292] : [member(_32292, _32157), -(member(_32292, _32155))]]], (58 ^ _26928) ^ [_28897, _28899, _28901, _28903] : [-(difference(_28903, _28899) = difference(_28901, _28897)), _28903 = _28901, _28899 = _28897], (68 ^ _26928) ^ [_29256, _29258, _29260, _29262] : [-(union(_29262, _29258) = union(_29260, _29256)), _29262 = _29260, _29258 = _29256], (78 ^ _26928) ^ [_29595, _29597, _29599, _29601] : [-(symmetric_difference(_29601, _29597) = symmetric_difference(_29599, _29595)), _29601 = _29599, _29597 = _29595], (2 ^ _26928) ^ [_27072] : [-(_27072 = _27072)], (4 ^ _26928) ^ [_27179, _27181] : [_27181 = _27179, -(_27179 = _27181)], (10 ^ _26928) ^ [_27383, _27385, _27387] : [-(_27387 = _27383), _27387 = _27385, _27385 = _27383], (20 ^ _26928) ^ [_27724, _27726, _27728, _27730] : [-(subset(_27728, _27724)), subset(_27730, _27726), _27730 = _27728, _27726 = _27724], (34 ^ _26928) ^ [_28140, _28142] : [-(empty(_28140)), _28142 = _28140, empty(_28142)], (44 ^ _26928) ^ [_28443, _28445, _28447, _28449] : [-(member(_28447, _28443)), member(_28449, _28445), _28449 = _28447, _28445 = _28443]], input).
% 0.37/1.38 ncf('1',plain,[symmetric_difference(182 ^ [], 182 ^ []) = empty_set],start(184 ^ 0)).
% 0.37/1.38 ncf('1.1',plain,[-(symmetric_difference(182 ^ [], 182 ^ []) = empty_set), symmetric_difference(182 ^ [], 182 ^ []) = union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])), union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])) = empty_set],extension(10 ^ 1,bind([[_27383, _27385, _27387], [empty_set, union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])), symmetric_difference(182 ^ [], 182 ^ [])]]))).
% 0.37/1.38 ncf('1.1.1',plain,[-(symmetric_difference(182 ^ [], 182 ^ []) = union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])))],extension(88 ^ 2,bind([[_29921, _29923], [182 ^ [], 182 ^ []]]))).
% 0.37/1.38 ncf('1.1.2',plain,[-(union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])) = empty_set), union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])) = difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ []) = empty_set],extension(10 ^ 2,bind([[_27383, _27385, _27387], [empty_set, difference(182 ^ [], 182 ^ []), union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ []))]]))).
% 0.37/1.38 ncf('1.1.2.1',plain,[-(union(difference(182 ^ [], 182 ^ []), difference(182 ^ [], 182 ^ [])) = difference(182 ^ [], 182 ^ []))],extension(90 ^ 3,bind([[_30013], [difference(182 ^ [], 182 ^ [])]]))).
% 0.37/1.38 ncf('1.1.2.2',plain,[-(difference(182 ^ [], 182 ^ []) = empty_set)],extension(92 ^ 3,bind([[_30094], [182 ^ []]]))).
% 0.37/1.38 %-----------------------------------------------------
% 0.37/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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