0.01/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.01/0.06 % Command : nanocop_casc.sh %s %d 0.03/0.27 % Computer : n066.star.cs.uiowa.edu 0.03/0.27 % Model : x86_64 x86_64 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.27 % Memory : 32218.625MB 0.03/0.27 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.27 % CPULimit : 300 0.03/0.27 % DateTime : Sat Jul 14 04:21:55 CDT 2018 0.03/0.27 % CPUTime : 99.92/99.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 99.92/99.03 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 99.92/99.03 99.92/99.03 - the following list represents a non-clausal connection proof 99.92/99.03 (a tree in which each node is labelled with a nested clause) 99.92/99.03 - I^V is a skolem term f_I(V) for variable list V 99.92/99.03 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 99.92/99.03 I is the unique index of C, K distinguishes different copies 99.92/99.03 of C, and V is the list of (instantiated) variables in C 99.92/99.04 99.92/99.04 [(722 ^ 0) ^ [] : [713 ^ [] = second(714 ^ []), first(714 ^ []) = 712 ^ []], [(10 ^ 1) ^ [second(714 ^ []), second(ordered_pair(712 ^ [], 713 ^ [])), 713 ^ []] : [-(713 ^ [] = second(714 ^ [])), 713 ^ [] = second(ordered_pair(712 ^ [], 713 ^ [])), second(ordered_pair(712 ^ [], 713 ^ [])) = second(714 ^ [])], [(10 ^ 2) ^ [second(ordered_pair(712 ^ [], 713 ^ [])), second(ordered_pair(712 ^ [], 713 ^ [])), 713 ^ []] : [-(713 ^ [] = second(ordered_pair(712 ^ [], 713 ^ []))), 713 ^ [] = second(ordered_pair(712 ^ [], 713 ^ [])), second(ordered_pair(712 ^ [], 713 ^ [])) = second(ordered_pair(712 ^ [], 713 ^ []))], [(515 ^ 3) ^ [713 ^ [], 712 ^ []] : [-(713 ^ [] = second(ordered_pair(712 ^ [], 713 ^ []))), 522 ^ 3 : [(525 ^ 3) ^ [] : []], member(713 ^ [], universal_class), member(712 ^ [], universal_class)], [(716 ^ 4) ^ [] : [-(member(713 ^ [], universal_class))]], [(720 ^ 4) ^ [] : [-(member(712 ^ [], universal_class))]]], [(2 ^ 3) ^ [second(ordered_pair(712 ^ [], 713 ^ []))] : [-(second(ordered_pair(712 ^ [], 713 ^ [])) = second(ordered_pair(712 ^ [], 713 ^ [])))]]], [(10 ^ 2) ^ [second(714 ^ []), second(714 ^ []), second(ordered_pair(712 ^ [], 713 ^ []))] : [-(second(ordered_pair(712 ^ [], 713 ^ [])) = second(714 ^ [])), second(ordered_pair(712 ^ [], 713 ^ [])) = second(714 ^ []), second(714 ^ []) = second(714 ^ [])], [(236 ^ 3) ^ [714 ^ [], ordered_pair(712 ^ [], 713 ^ [])] : [-(second(ordered_pair(712 ^ [], 713 ^ [])) = second(714 ^ [])), ordered_pair(712 ^ [], 713 ^ []) = 714 ^ []], [(718 ^ 4) ^ [] : [-(ordered_pair(712 ^ [], 713 ^ []) = 714 ^ [])]]], [(2 ^ 3) ^ [second(714 ^ [])] : [-(second(714 ^ []) = second(714 ^ []))]]]], [(10 ^ 1) ^ [712 ^ [], first(ordered_pair(712 ^ [], 713 ^ [])), first(714 ^ [])] : [-(first(714 ^ []) = 712 ^ []), first(714 ^ []) = first(ordered_pair(712 ^ [], 713 ^ [])), first(ordered_pair(712 ^ [], 713 ^ [])) = 712 ^ []], [(4 ^ 2) ^ [first(714 ^ []), first(ordered_pair(712 ^ [], 713 ^ []))] : [-(first(714 ^ []) = first(ordered_pair(712 ^ [], 713 ^ []))), first(ordered_pair(712 ^ [], 713 ^ [])) = first(714 ^ [])], [(242 ^ 3) ^ [714 ^ [], ordered_pair(712 ^ [], 713 ^ [])] : [-(first(ordered_pair(712 ^ [], 713 ^ [])) = first(714 ^ [])), ordered_pair(712 ^ [], 713 ^ []) = 714 ^ []], [(718 ^ 4) ^ [] : [-(ordered_pair(712 ^ [], 713 ^ []) = 714 ^ [])]]]], [(10 ^ 2) ^ [712 ^ [], 712 ^ [], first(ordered_pair(712 ^ [], 713 ^ []))] : [-(first(ordered_pair(712 ^ [], 713 ^ [])) = 712 ^ []), first(ordered_pair(712 ^ [], 713 ^ [])) = 712 ^ [], 712 ^ [] = 712 ^ []], [(515 ^ 3) ^ [713 ^ [], 712 ^ []] : [-(first(ordered_pair(712 ^ [], 713 ^ [])) = 712 ^ []), 522 ^ 3 : [(523 ^ 3) ^ [] : []], member(713 ^ [], universal_class), member(712 ^ [], universal_class)], [(716 ^ 4) ^ [] : [-(member(713 ^ [], universal_class))]], [(720 ^ 4) ^ [] : [-(member(712 ^ [], universal_class))]]], [(2 ^ 3) ^ [712 ^ []] : [-(712 ^ [] = 712 ^ [])]]]]] 99.92/99.04 99.92/99.04 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 99.92/99.04 EOF