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 : n156.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 04:48:40 CDT 2018 0.02/0.23 % CPUTime : 203.59/200.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 203.59/200.65 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 203.59/200.65 203.59/200.65 - the following list represents a non-clausal connection proof 203.59/200.65 (a tree in which each node is labelled with a nested clause) 203.59/200.65 - I^V is a skolem term f_I(V) for variable list V 203.59/200.65 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 203.59/200.65 I is the unique index of C, K distinguishes different copies 203.59/200.65 of C, and V is the list of (instantiated) variables in C 203.59/200.65 203.59/200.65 [(492 ^ 0) ^ [] : [-(connected(488 ^ []))], [(385 ^ 1) ^ [488 ^ []] : [connected(488 ^ []), 388 ^ 1 : [(405 ^ 1) ^ [] : [408 ^ 1 : [(409 ^ 1) ^ [391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(488 ^ [])), -(391 ^ [relation_restriction(488 ^ [], 487 ^ [])] = 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), -(in(ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), 488 ^ [])), -(in(ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]), 488 ^ [])), in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(488 ^ []))]]]], relation(488 ^ [])], [(476 ^ 6) ^ [488 ^ [], 487 ^ [], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(488 ^ []))), 483 ^ 6 : [(484 ^ 6) ^ [] : []], relation(488 ^ []), in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))], [(490 ^ 7) ^ [] : [-(relation(488 ^ []))]], [(385 ^ 7) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [-(in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))), 388 ^ 7 : [(389 ^ 7) ^ [] : [392 ^ 7 : [(393 ^ 7) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 10) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 8) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [_59406 ^ _59407 : [-(relation(488 ^ []))]]]]], [(385 ^ 6) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [391 ^ [relation_restriction(488 ^ [], 487 ^ [])] = 390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 388 ^ 6 : [(389 ^ 6) ^ [] : [392 ^ 6 : [(395 ^ 6) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 9) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 7) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [(490 ^ 8) ^ [] : [-(relation(488 ^ []))]]]], [(269 ^ 6) ^ [488 ^ [], 487 ^ [], ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])])] : [in(ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), 488 ^ []), 272 ^ 6 : [(273 ^ 6) ^ [] : [-(in(ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), relation_restriction(488 ^ [], 487 ^ []))), in(ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), cartesian_product2(487 ^ [], 487 ^ []))]], relation(488 ^ [])], [(385 ^ 9) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [in(ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), relation_restriction(488 ^ [], 487 ^ [])), 388 ^ 9 : [(389 ^ 9) ^ [] : [392 ^ 9 : [(397 ^ 9) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 12) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 10) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [(490 ^ 11) ^ [] : [-(relation(488 ^ []))]]]], [(427 ^ 9) ^ [487 ^ [], 487 ^ [], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(ordered_pair(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]), cartesian_product2(487 ^ [], 487 ^ []))), in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ []), in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ [])], [(476 ^ 10) ^ [488 ^ [], 487 ^ [], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ [])), 483 ^ 10 : [(486 ^ 10) ^ [] : []], relation(488 ^ []), in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))], [(490 ^ 11) ^ [] : [-(relation(488 ^ []))]], [(385 ^ 11) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [-(in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))), 388 ^ 11 : [(389 ^ 11) ^ [] : [392 ^ 11 : [(393 ^ 11) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 14) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 12) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [_62551 ^ _62552 : [-(relation(488 ^ []))]]]]], [(476 ^ 10) ^ [488 ^ [], 487 ^ [], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ [])), 483 ^ 10 : [(486 ^ 10) ^ [] : []], relation(488 ^ []), in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))], [(490 ^ 11) ^ [] : [-(relation(488 ^ []))]], [(385 ^ 11) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [-(in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))), 388 ^ 11 : [(389 ^ 11) ^ [] : [392 ^ 11 : [(401 ^ 11) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 14) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 12) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [_63542 ^ _63543 : [-(relation(488 ^ []))]]]]]], [(490 ^ 7) ^ [] : [-(relation(488 ^ []))]]], [(269 ^ 6) ^ [488 ^ [], 487 ^ [], ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])])] : [in(ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]), 488 ^ []), 272 ^ 6 : [(273 ^ 6) ^ [] : [-(in(ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]), relation_restriction(488 ^ [], 487 ^ []))), in(ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]), cartesian_product2(487 ^ [], 487 ^ []))]], relation(488 ^ [])], [(385 ^ 9) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [in(ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]), relation_restriction(488 ^ [], 487 ^ [])), 388 ^ 9 : [(389 ^ 9) ^ [] : [392 ^ 9 : [(399 ^ 9) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 12) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 10) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [(490 ^ 11) ^ [] : [-(relation(488 ^ []))]]]], [(427 ^ 9) ^ [487 ^ [], 487 ^ [], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(ordered_pair(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]), cartesian_product2(487 ^ [], 487 ^ []))), in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ []), in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ [])], [(476 ^ 10) ^ [488 ^ [], 487 ^ [], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ [])), 483 ^ 10 : [(486 ^ 10) ^ [] : []], relation(488 ^ []), in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))], [(490 ^ 11) ^ [] : [-(relation(488 ^ []))]], [(385 ^ 11) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [-(in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))), 388 ^ 11 : [(389 ^ 11) ^ [] : [392 ^ 11 : [(401 ^ 11) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 14) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 12) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [_66037 ^ _66038 : [-(relation(488 ^ []))]]]]], [(476 ^ 10) ^ [488 ^ [], 487 ^ [], 391 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], 487 ^ [])), 483 ^ 10 : [(486 ^ 10) ^ [] : []], relation(488 ^ []), in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))], [(490 ^ 11) ^ [] : [-(relation(488 ^ []))]], [(385 ^ 11) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [-(in(391 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))), 388 ^ 11 : [(389 ^ 11) ^ [] : [392 ^ 11 : [(393 ^ 11) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 14) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 12) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [_67028 ^ _67029 : [-(relation(488 ^ []))]]]]]], [(490 ^ 7) ^ [] : [-(relation(488 ^ []))]]], [(476 ^ 6) ^ [488 ^ [], 487 ^ [], 390 ^ [relation_restriction(488 ^ [], 487 ^ [])]] : [-(in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(488 ^ []))), 483 ^ 6 : [(484 ^ 6) ^ [] : []], relation(488 ^ []), in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))], [(490 ^ 7) ^ [] : [-(relation(488 ^ []))]], [(385 ^ 7) ^ [relation_restriction(488 ^ [], 487 ^ [])] : [-(in(390 ^ [relation_restriction(488 ^ [], 487 ^ [])], relation_field(relation_restriction(488 ^ [], 487 ^ [])))), 388 ^ 7 : [(389 ^ 7) ^ [] : [392 ^ 7 : [(401 ^ 7) ^ [] : []], -(connected(relation_restriction(488 ^ [], 487 ^ [])))]], relation(relation_restriction(488 ^ [], 487 ^ []))], [(494 ^ 10) ^ [] : [connected(relation_restriction(488 ^ [], 487 ^ []))]], [(338 ^ 8) ^ [487 ^ [], 488 ^ []] : [-(relation(relation_restriction(488 ^ [], 487 ^ []))), relation(488 ^ [])], [_68110 ^ _68111 : [-(relation(488 ^ []))]]]]], [(490 ^ 2) ^ [] : [-(relation(488 ^ []))]]]] 203.59/200.65 203.59/200.65 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 203.59/200.66 EOF