0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : nanocop_casc.sh %s %d 0.14/0.35 % Computer : n013.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 180 0.14/0.35 % DateTime : Thu Aug 29 12:49:16 EDT 2019 0.14/0.35 % CPUTime : 14.76/14.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 14.76/14.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 14.76/14.96 14.76/14.96 - the following list represents a non-clausal connection proof 14.76/14.96 (a tree in which each node is labelled with a nested clause) 14.76/14.96 - I^V is a skolem term f_I(V) for variable list V 14.76/14.96 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 14.76/14.96 I is the unique index of C, K distinguishes different copies 14.76/14.96 of C, and V is the list of (instantiated) variables in C 14.76/14.96 14.76/14.96 [(1321 ^ 0) ^ [] : [surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])], [(1075 ^ 1) ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] : [-(surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])), 1077 ^ 1 : [(1078 ^ 1) ^ [] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))], (1080 ^ 1) ^ [880 ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []]] : [member(880 ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1312 ^ []), apply(1310 ^ [], 880 ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]]], [(869 ^ 4) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []] : [-(member(880 ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1312 ^ [])), 876 ^ 4 : [(877 ^ 4) ^ [] : [881 ^ 4 : [(886 ^ 4) ^ [] : []], apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), member(1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])], [(1088 ^ 7) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 1091 ^ 7 : [(1092 ^ 7) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1096 ^ 7 : [(1099 ^ 7) ^ [] : []], member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [(1078 ^ 10) ^ [] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1319 ^ 8) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]], [(214 ^ 5) ^ [1313 ^ [], 1313 ^ [], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])), member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [] = 1313 ^ []], [(1078 ^ 6) ^ [] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(2 ^ 6) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], [(2 ^ 6) ^ [1313 ^ []] : [-(1313 ^ [] = 1313 ^ [])]]], [(1088 ^ 5) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(member(1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])), 1091 ^ 5 : [(1092 ^ 5) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1096 ^ 5 : [(1097 ^ 5) ^ [] : []], member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [_134750 ^ _134751 : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1319 ^ 6) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]]], [(869 ^ 4) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []] : [-(apply(1310 ^ [], 880 ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 876 ^ 4 : [(877 ^ 4) ^ [] : [881 ^ 4 : [(882 ^ 4) ^ [] : []], apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), member(1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])], [(1088 ^ 7) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 1091 ^ 7 : [(1092 ^ 7) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1096 ^ 7 : [(1099 ^ 7) ^ [] : []], member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [(1078 ^ 10) ^ [] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1319 ^ 8) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]], [(214 ^ 5) ^ [1313 ^ [], 1313 ^ [], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])), member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [] = 1313 ^ []], [(1078 ^ 6) ^ [] : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(2 ^ 6) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [-(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])]], [(2 ^ 6) ^ [1313 ^ []] : [-(1313 ^ [] = 1313 ^ [])]]], [(1088 ^ 5) ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ [])] : [-(member(1095 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])), 1091 ^ 5 : [(1092 ^ 5) ^ [1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]] : [1096 ^ 5 : [(1097 ^ 5) ^ [] : []], member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])]], surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])], [_138414 ^ _138415 : [-(member(1076 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))]], [(1319 ^ 6) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))]]]]]] 14.87/14.97 14.87/14.97 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 14.87/14.98 EOF