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 : n012.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 05:26:25 CDT 2018 0.02/0.23 % CPUTime : 20.18/20.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 20.18/20.61 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 20.18/20.61 20.18/20.61 - the following list represents a non-clausal connection proof 20.18/20.61 (a tree in which each node is labelled with a nested clause) 20.18/20.61 - I^V is a skolem term f_I(V) for variable list V 20.18/20.61 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 20.18/20.61 I is the unique index of C, K distinguishes different copies 20.18/20.61 of C, and V is the list of (instantiated) variables in C 20.18/20.62 20.18/20.62 [(1321 ^ 0) ^ [] : [surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])], [(1073 ^ 1) ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] : [-(surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])), 1075 ^ 1 : [(1076 ^ 1) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))], (1078 ^ 1) ^ [766 ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []]] : [member(766 ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1312 ^ []), apply(1310 ^ [], 766 ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]]], [(741 ^ 4) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []] : [-(member(766 ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1312 ^ [])), 748 ^ 4 : [(763 ^ 4) ^ [] : [767 ^ 4 : [(768 ^ 4) ^ [] : []], apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], member(1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ []), member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])], [(1086 ^ 7) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 1089 ^ 7 : [(1090 ^ 7) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1094 ^ 7 : [(1097 ^ 7) ^ [] : []], member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [(1076 ^ 10) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1315 ^ 8) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]], [(1086 ^ 5) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(member(1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])), 1089 ^ 5 : [(1090 ^ 5) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1094 ^ 5 : [(1095 ^ 5) ^ [] : []], member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [(1076 ^ 8) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1315 ^ 6) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]], [(250 ^ 5) ^ [1313 ^ [], 1313 ^ [], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])), member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [] = 1313 ^ []], [(1076 ^ 6) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(2 ^ 6) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], [(2 ^ 6) ^ [1313 ^ []] : [-(1313 ^ [] = 1313 ^ [])]]]], [(741 ^ 4) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []] : [-(apply(1310 ^ [], 766 ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 748 ^ 4 : [(763 ^ 4) ^ [] : [767 ^ 4 : [(770 ^ 4) ^ [] : []], apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], member(1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ []), member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])], [(1086 ^ 7) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 1089 ^ 7 : [(1090 ^ 7) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1094 ^ 7 : [(1097 ^ 7) ^ [] : []], member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [(1076 ^ 10) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1315 ^ 8) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]], [(1086 ^ 5) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(member(1093 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])), 1089 ^ 5 : [(1090 ^ 5) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1094 ^ 5 : [(1095 ^ 5) ^ [] : []], member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [(1076 ^ 8) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1315 ^ 6) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]], [(250 ^ 5) ^ [1313 ^ [], 1313 ^ [], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])), member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [] = 1313 ^ []], [(1076 ^ 6) ^ [] : [-(member(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(2 ^ 6) ^ [1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1074 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], [(2 ^ 6) ^ [1313 ^ []] : [-(1313 ^ [] = 1313 ^ [])]]]]]] 20.23/20.62 20.23/20.62 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 20.23/20.62 EOF