0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : nanocop_casc.sh %s %d 0.13/0.35 % Computer : n024.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 180 0.13/0.35 % DateTime : Thu Aug 29 13:38:35 EDT 2019 0.13/0.35 % CPUTime : 2.43/3.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 2.43/3.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 2.43/3.51 2.43/3.51 - the following list represents a non-clausal connection proof 2.43/3.51 (a tree in which each node is labelled with a nested clause) 2.43/3.51 - I^V is a skolem term f_I(V) for variable list V 2.43/3.51 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 2.43/3.51 I is the unique index of C, K distinguishes different copies 2.43/3.51 of C, and V is the list of (instantiated) variables in C 2.43/3.51 2.43/3.51 [(179 ^ 0) ^ [] : [difference(175 ^ [], union(176 ^ [], 177 ^ [])) = difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], [(123 ^ 1) ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] : [-(difference(175 ^ [], union(176 ^ [], 177 ^ [])) = difference(difference(175 ^ [], 176 ^ []), 177 ^ [])), 127 ^ 1 : [(128 ^ 1) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))], (130 ^ 1) ^ [] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))]], 131 ^ 1 : [(132 ^ 1) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))], (134 ^ 1) ^ [] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))]]], [(87 ^ 4) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))), -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [])), member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))], [(150 ^ 5) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], 176 ^ []] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []), 151 ^ 5 : [(154 ^ 5) ^ [] : []], -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])))], [(97 ^ 6) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])), 100 ^ 6 : [(101 ^ 6) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))], [(128 ^ 7) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))]]]], [(87 ^ 5) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [], 175 ^ []] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))), -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [])), member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])], [(150 ^ 6) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], 176 ^ []] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ []), 151 ^ 6 : [(152 ^ 6) ^ [] : []], -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])))], [(97 ^ 7) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])), 100 ^ 7 : [(101 ^ 7) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))], [(128 ^ 8) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))]]]], [(97 ^ 6) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])), 100 ^ 6 : [(103 ^ 6) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))], [(20 ^ 7) ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(175 ^ [], union(176 ^ [], 177 ^ [])), 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))), member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))), 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] = 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])) = difference(175 ^ [], union(176 ^ [], 177 ^ []))], [(128 ^ 8) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ []))))]], [(2 ^ 8) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]] : [-(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] = 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])])]], [(2 ^ 8) ^ [difference(175 ^ [], union(176 ^ [], 177 ^ []))] : [-(difference(175 ^ [], union(176 ^ [], 177 ^ [])) = difference(175 ^ [], union(176 ^ [], 177 ^ [])))]]]]]], [(87 ^ 4) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []), 175 ^ []] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], union(176 ^ [], 177 ^ [])))), -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ []))), member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])], [(140 ^ 5) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], 176 ^ []] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], union(176 ^ [], 177 ^ [])), -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [])), -(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []))], [(97 ^ 6) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [], 175 ^ []] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ []), 100 ^ 6 : [(101 ^ 6) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))], [(97 ^ 7) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))), 100 ^ 7 : [(103 ^ 7) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))], [(132 ^ 8) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))]]]], [(97 ^ 6) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])] : [member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ []), 100 ^ 6 : [(101 ^ 6) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))], [(132 ^ 7) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))]]]], [(97 ^ 5) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 176 ^ [], 175 ^ []] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 175 ^ [])), 100 ^ 5 : [(103 ^ 5) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))], [(20 ^ 6) ^ [difference(175 ^ [], 176 ^ []), difference(175 ^ [], 176 ^ []), 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))), member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ [])), 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] = 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []) = difference(175 ^ [], 176 ^ [])], [(97 ^ 7) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], 177 ^ [], difference(175 ^ [], 176 ^ [])] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(175 ^ [], 176 ^ []))), 100 ^ 7 : [(103 ^ 7) ^ [] : []], member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ []))], [(132 ^ 8) ^ [] : [-(member(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])], difference(difference(175 ^ [], 176 ^ []), 177 ^ [])))]]], [(2 ^ 7) ^ [124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])]] : [-(124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])] = 124 ^ [difference(175 ^ [], union(176 ^ [], 177 ^ [])), difference(difference(175 ^ [], 176 ^ []), 177 ^ [])])]], [(58 ^ 7) ^ [176 ^ [], 176 ^ [], 175 ^ [], 175 ^ []] : [-(difference(175 ^ [], 176 ^ []) = difference(175 ^ [], 176 ^ [])), 175 ^ [] = 175 ^ [], 176 ^ [] = 176 ^ []], [(2 ^ 8) ^ [175 ^ []] : [-(175 ^ [] = 175 ^ [])]], [(2 ^ 8) ^ [176 ^ []] : [-(176 ^ [] = 176 ^ [])]]]]]]]] 2.43/3.52 2.43/3.52 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 2.43/3.52 EOF