0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : nanocop_casc.sh %s %d 0.02/0.30 % Computer : n021.star.cs.uiowa.edu 0.02/0.30 % Model : x86_64 x86_64 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.30 % Memory : 32218.625MB 0.02/0.30 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.30 % CPULimit : 300 0.02/0.30 % DateTime : Fri Jul 13 15:56:57 CDT 2018 0.02/0.30 % CPUTime : 141.47/139.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 141.47/139.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 141.47/139.75 141.47/139.75 - the following list represents a non-clausal connection proof 141.47/139.75 (a tree in which each node is labelled with a nested clause) 141.47/139.75 - I^V is a skolem term f_I(V) for variable list V 141.47/139.75 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 141.47/139.75 I is the unique index of C, K distinguishes different copies 141.47/139.75 of C, and V is the list of (instantiated) variables in C 141.47/139.75 141.47/139.75 [(608 ^ 0) ^ [587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]] : [triangle(598 ^ [], 599 ^ [], 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])], [(532 ^ 1) ^ [587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []], 599 ^ [], 598 ^ []] : [-(triangle(598 ^ [], 599 ^ [], 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), edge(599 ^ []), sequential(598 ^ [], 599 ^ []), sequential(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []], 598 ^ []), sequential(599 ^ [], 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), edge(598 ^ [])], [(412 ^ 2) ^ [599 ^ [], 600 ^ [], 597 ^ [], 596 ^ []] : [-(edge(599 ^ [])), 419 ^ 2 : [(420 ^ 2) ^ [] : []], path(596 ^ [], 597 ^ [], 600 ^ []), on_path(599 ^ [], 600 ^ [])], [(58 ^ 3) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(58 ^ 4) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(58 ^ 5) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(369 ^ 6) ^ [600 ^ [], 597 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), 372 ^ 6 : [(373 ^ 6) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ [])], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]]], [(2 ^ 6) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 6) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 6) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 5) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 5) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 5) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 4) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 4) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 4) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(76 ^ 3) ^ [600 ^ [], 600 ^ [], 599 ^ [], 599 ^ []] : [-(on_path(599 ^ [], 600 ^ [])), on_path(599 ^ [], 600 ^ []), 599 ^ [] = 599 ^ [], 600 ^ [] = 600 ^ []], [(76 ^ 4) ^ [600 ^ [], 600 ^ [], 599 ^ [], 599 ^ []] : [-(on_path(599 ^ [], 600 ^ [])), on_path(599 ^ [], 600 ^ []), 599 ^ [] = 599 ^ [], 600 ^ [] = 600 ^ []], [(383 ^ 5) ^ [597 ^ [], 596 ^ [], 600 ^ []] : [-(on_path(599 ^ [], 600 ^ [])), 386 ^ 5 : [(387 ^ 5) ^ [599 ^ [], 598 ^ []] : [390 ^ 5 : [(408 ^ 5) ^ [] : []], precedes(598 ^ [], 599 ^ [], 600 ^ [])]], path(596 ^ [], 597 ^ [], 600 ^ [])], [(602 ^ 8) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(369 ^ 6) ^ [600 ^ [], 597 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), 372 ^ 6 : [(373 ^ 6) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ [])], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]]]], [(2 ^ 5) ^ [599 ^ []] : [-(599 ^ [] = 599 ^ [])]], [(2 ^ 5) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 4) ^ [599 ^ []] : [-(599 ^ [] = 599 ^ [])]], [(2 ^ 4) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]]], [(604 ^ 2) ^ [] : [-(sequential(598 ^ [], 599 ^ []))]], [(484 ^ 2) ^ [598 ^ [], 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]] : [-(sequential(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [])), edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(598 ^ []), -(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] = 598 ^ []), edge(598 ^ [])], [(576 ^ 3) ^ [] : [-(edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), 579 ^ 3 : [(580 ^ 3) ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] : [588 ^ 3 : [(593 ^ 3) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ []), precedes(598 ^ [], 599 ^ [], 600 ^ [])]], complete], [(606 ^ 6) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]], [(602 ^ 6) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(595 ^ 4) ^ [] : [-(complete)]]], [(576 ^ 3) ^ [] : [-(head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(598 ^ [])), 579 ^ 3 : [(580 ^ 3) ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] : [588 ^ 3 : [(589 ^ 3) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ []), precedes(598 ^ [], 599 ^ [], 600 ^ [])]], complete], [(606 ^ 6) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]], [(602 ^ 6) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(595 ^ 4) ^ [] : [-(complete)]]], [(204 ^ 3) ^ [598 ^ [], 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]] : [587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] = 598 ^ [], -(tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(598 ^ []))], [(4 ^ 4) ^ [tail_of(598 ^ []), tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])] : [tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(598 ^ []), -(tail_of(598 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]))], [(10 ^ 5) ^ [tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), tail_of(598 ^ []), head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])] : [tail_of(598 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), -(head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(598 ^ [])], [(466 ^ 6) ^ [587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]] : [head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])], [_71826 ^ _71827 : [-(edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]))]]], [_71848 ^ _71849 : [-(head_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(598 ^ []))]]]]], [(412 ^ 3) ^ [598 ^ [], 600 ^ [], 597 ^ [], 596 ^ []] : [-(edge(598 ^ [])), 419 ^ 3 : [(420 ^ 3) ^ [] : []], path(596 ^ [], 597 ^ [], 600 ^ []), on_path(598 ^ [], 600 ^ [])], [(58 ^ 4) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(58 ^ 5) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(369 ^ 6) ^ [600 ^ [], 597 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), 372 ^ 6 : [(373 ^ 6) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ [])], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]]], [(2 ^ 6) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 6) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 6) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 5) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 5) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 5) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(383 ^ 4) ^ [597 ^ [], 596 ^ [], 600 ^ []] : [-(on_path(598 ^ [], 600 ^ [])), 386 ^ 4 : [(387 ^ 4) ^ [599 ^ [], 598 ^ []] : [390 ^ 4 : [(410 ^ 4) ^ [] : []], precedes(598 ^ [], 599 ^ [], 600 ^ [])]], path(596 ^ [], 597 ^ [], 600 ^ [])], [(602 ^ 7) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(58 ^ 5) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(369 ^ 6) ^ [600 ^ [], 597 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), 372 ^ 6 : [(373 ^ 6) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ [])], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]]], [(2 ^ 6) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 6) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 6) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]]]]], [(484 ^ 2) ^ [587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []], 599 ^ []] : [-(sequential(599 ^ [], 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), edge(599 ^ []), head_of(599 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), -(599 ^ [] = 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])], [_75792 ^ _75793 : [-(edge(599 ^ []))]], [(4 ^ 3) ^ [head_of(599 ^ []), tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])] : [-(head_of(599 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = head_of(599 ^ [])], [(576 ^ 4) ^ [] : [-(tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = head_of(599 ^ [])), 579 ^ 4 : [(580 ^ 4) ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] : [588 ^ 4 : [(591 ^ 4) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ []), precedes(598 ^ [], 599 ^ [], 600 ^ [])]], complete], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]], [(602 ^ 7) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(595 ^ 5) ^ [] : [-(complete)]]]], [(204 ^ 3) ^ [587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []], 599 ^ []] : [599 ^ [] = 587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []], -(tail_of(599 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]))], [(4 ^ 4) ^ [tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), tail_of(599 ^ [])] : [tail_of(599 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), -(tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(599 ^ []))], [(10 ^ 5) ^ [tail_of(599 ^ []), tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]), head_of(599 ^ [])] : [tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]) = tail_of(599 ^ []), -(head_of(599 ^ []) = tail_of(599 ^ [])), head_of(599 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])], [(466 ^ 6) ^ [599 ^ []] : [head_of(599 ^ []) = tail_of(599 ^ []), edge(599 ^ [])], [_77311 ^ _77312 : [-(edge(599 ^ []))]]], [_77333 ^ _77334 : [-(head_of(599 ^ []) = tail_of(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []]))]]]]], [(576 ^ 3) ^ [] : [-(edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), 579 ^ 3 : [(580 ^ 3) ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] : [588 ^ 3 : [(593 ^ 3) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ []), precedes(598 ^ [], 599 ^ [], 600 ^ [])]], complete], [(606 ^ 6) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]], [(602 ^ 6) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(595 ^ 4) ^ [] : [-(complete)]]]], [(576 ^ 2) ^ [] : [-(edge(587 ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []])), 579 ^ 2 : [(580 ^ 2) ^ [600 ^ [], 599 ^ [], 598 ^ [], 597 ^ [], 596 ^ []] : [588 ^ 2 : [(593 ^ 2) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ []), precedes(598 ^ [], 599 ^ [], 600 ^ [])]], complete], [(606 ^ 5) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]], [(602 ^ 5) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(595 ^ 3) ^ [] : [-(complete)]]], [(412 ^ 2) ^ [598 ^ [], 600 ^ [], 597 ^ [], 596 ^ []] : [-(edge(598 ^ [])), 419 ^ 2 : [(420 ^ 2) ^ [] : []], path(596 ^ [], 597 ^ [], 600 ^ []), on_path(598 ^ [], 600 ^ [])], [(58 ^ 3) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(58 ^ 4) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(58 ^ 5) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(369 ^ 6) ^ [600 ^ [], 597 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), 372 ^ 6 : [(373 ^ 6) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ [])], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]]], [(2 ^ 6) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 6) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 6) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 5) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 5) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 5) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 4) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 4) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 4) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(383 ^ 3) ^ [597 ^ [], 596 ^ [], 600 ^ []] : [-(on_path(598 ^ [], 600 ^ [])), 386 ^ 3 : [(387 ^ 3) ^ [599 ^ [], 598 ^ []] : [390 ^ 3 : [(410 ^ 3) ^ [] : []], precedes(598 ^ [], 599 ^ [], 600 ^ [])]], path(596 ^ [], 597 ^ [], 600 ^ [])], [(602 ^ 6) ^ [] : [-(precedes(598 ^ [], 599 ^ [], 600 ^ []))]], [(58 ^ 4) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(58 ^ 5) ^ [600 ^ [], 600 ^ [], 597 ^ [], 597 ^ [], 596 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), path(596 ^ [], 597 ^ [], 600 ^ []), 596 ^ [] = 596 ^ [], 597 ^ [] = 597 ^ [], 600 ^ [] = 600 ^ []], [(369 ^ 6) ^ [600 ^ [], 597 ^ [], 596 ^ []] : [-(path(596 ^ [], 597 ^ [], 600 ^ [])), 372 ^ 6 : [(373 ^ 6) ^ [] : []], shortest_path(596 ^ [], 597 ^ [], 600 ^ [])], [(606 ^ 7) ^ [] : [-(shortest_path(596 ^ [], 597 ^ [], 600 ^ []))]]], [(2 ^ 6) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 6) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 6) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]], [(2 ^ 5) ^ [596 ^ []] : [-(596 ^ [] = 596 ^ [])]], [(2 ^ 5) ^ [597 ^ []] : [-(597 ^ [] = 597 ^ [])]], [(2 ^ 5) ^ [600 ^ []] : [-(600 ^ [] = 600 ^ [])]]]]]]] 141.47/139.76 141.47/139.76 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 141.47/139.76 EOF