0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : nanocop_casc.sh %s %d
0.02/0.23	% Computer   : n130.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 04:24:27 CDT 2018
0.02/0.23	% CPUTime    : 
46.65/46.04	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
46.65/46.05	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
46.65/46.05	
46.65/46.05	- the following list represents a non-clausal connection proof
46.65/46.05	  (a tree in which each node is labelled with a nested clause)
46.65/46.05	- I^V is a skolem term f_I(V) for variable list V
46.65/46.05	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
46.65/46.05	  I is the unique index of C, K distinguishes different copies
46.65/46.05	  of C, and V is the list of (instantiated) variables in C
46.65/46.05	
46.65/46.05	[(600 ^ 0) ^ [] : [-(shortest_path(597 ^ [], 598 ^ [], 596 ^ []))], [(369 ^ 1) ^ [596 ^ [], 598 ^ [], 597 ^ []] : [shortest_path(597 ^ [], 598 ^ [], 596 ^ []), 372 ^ 1 : [(377 ^ 1) ^ [_68305] : [path(597 ^ [], 598 ^ [], _68305), -(less_or_equal(length_of(596 ^ []), length_of(_68305)))], (375 ^ 1) ^ [] : [598 ^ [] = 597 ^ []], (373 ^ 1) ^ [] : [-(path(597 ^ [], 598 ^ [], 596 ^ []))]]], [(550 ^ 4) ^ [598 ^ [], 597 ^ [], 596 ^ []] : [path(597 ^ [], 598 ^ [], 596 ^ []), -(number_of_in(triangles, 596 ^ []) = number_of_in(sequential_pairs, 596 ^ [])), 555 ^ 4 : [(558 ^ 4) ^ [] : [-(sequential(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []]))], (560 ^ 4) ^ [] : [-(on_path(554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))], (562 ^ 4) ^ [_68688] : [triangle(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], _68688)], (556 ^ 4) ^ [] : [-(on_path(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))]]], [(10 ^ 5) ^ [minus(length_of(596 ^ []), n1), number_of_in(sequential_pairs, 596 ^ []), number_of_in(triangles, 596 ^ [])] : [number_of_in(triangles, 596 ^ []) = number_of_in(sequential_pairs, 596 ^ []), -(number_of_in(triangles, 596 ^ []) = minus(length_of(596 ^ []), n1)), number_of_in(sequential_pairs, 596 ^ []) = minus(length_of(596 ^ []), n1)], [(154 ^ 6) ^ [number_of_in(triangles, graph), number_of_in(triangles, graph), minus(length_of(596 ^ []), n1), number_of_in(triangles, 596 ^ [])] : [number_of_in(triangles, 596 ^ []) = minus(length_of(596 ^ []), n1), -(less_or_equal(minus(length_of(596 ^ []), n1), number_of_in(triangles, graph))), less_or_equal(number_of_in(triangles, 596 ^ []), number_of_in(triangles, graph)), number_of_in(triangles, graph) = number_of_in(triangles, graph)], [(602 ^ 7) ^ [] : [less_or_equal(minus(length_of(596 ^ []), n1), number_of_in(triangles, graph))]], [(593 ^ 7) ^ [596 ^ [], triangles] : [-(less_or_equal(number_of_in(triangles, 596 ^ []), number_of_in(triangles, graph)))]], [(2 ^ 7) ^ [number_of_in(triangles, graph)] : [-(number_of_in(triangles, graph) = number_of_in(triangles, graph))]]], [(4 ^ 6) ^ [number_of_in(sequential_pairs, 596 ^ []), minus(length_of(596 ^ []), n1)] : [-(number_of_in(sequential_pairs, 596 ^ []) = minus(length_of(596 ^ []), n1)), minus(length_of(596 ^ []), n1) = number_of_in(sequential_pairs, 596 ^ [])], [(587 ^ 7) ^ [596 ^ [], 598 ^ [], 597 ^ []] : [-(minus(length_of(596 ^ []), n1) = number_of_in(sequential_pairs, 596 ^ [])), path(597 ^ [], 598 ^ [], 596 ^ [])], [_70131 ^ _70132 : [-(path(597 ^ [], 598 ^ [], 596 ^ []))]]]]], [(568 ^ 7) ^ [] : [sequential(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []]), 571 ^ 7 : [(572 ^ 7) ^ [596 ^ [], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []] : [-(triangle(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 583 ^ [596 ^ [], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []])), precedes(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), shortest_path(597 ^ [], 598 ^ [], 596 ^ [])]], complete], [(562 ^ 10) ^ [583 ^ [596 ^ [], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []]] : [triangle(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 583 ^ [596 ^ [], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []])]], [(235 ^ 10) ^ [598 ^ [], 597 ^ [], 596 ^ []] : [-(precedes(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ [])), 238 ^ 10 : [(239 ^ 10) ^ [554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 553 ^ [598 ^ [], 597 ^ [], 596 ^ []]] : [on_path(554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), on_path(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), 246 ^ 10 : [(249 ^ 10) ^ [_71071] : [sequential(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], _71071), precedes(_71071, 554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ [])], (247 ^ 10) ^ [] : [sequential(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []])]]]], path(597 ^ [], 598 ^ [], 596 ^ [])], [(560 ^ 13) ^ [] : [-(on_path(554 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))]], [(556 ^ 13) ^ [] : [-(on_path(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))]], [_72356 ^ _72357 : [-(sequential(553 ^ [598 ^ [], 597 ^ [], 596 ^ []], 554 ^ [598 ^ [], 597 ^ [], 596 ^ []]))]], [_72377 ^ _72378 : [-(path(597 ^ [], 598 ^ [], 596 ^ []))]]], [_72405 ^ _72406 : [-(shortest_path(597 ^ [], 598 ^ [], 596 ^ []))]], [(595 ^ 8) ^ [] : [-(complete)]]]]]]
46.65/46.06	
46.65/46.06	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
46.65/46.06	EOF