0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : nanocop_casc.sh %s %d 0.03/0.23 % Computer : n120.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:33:25 CDT 2018 0.03/0.23 % CPUTime : 2.42/3.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 2.42/3.31 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 2.42/3.31 2.42/3.31 - the following list represents a non-clausal connection proof 2.42/3.31 (a tree in which each node is labelled with a nested clause) 2.42/3.31 - I^V is a skolem term f_I(V) for variable list V 2.42/3.31 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 2.42/3.31 I is the unique index of C, K distinguishes different copies 2.42/3.31 of C, and V is the list of (instantiated) variables in C 2.42/3.31 2.42/3.31 [(1224 ^ 0) ^ [] : [visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))], [(1178 ^ 1) ^ [1220 ^ [], 1219 ^ [], 1218 ^ [], 1217 ^ [], 1216 ^ [], 1215 ^ []] : [-(visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))), -(vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])), vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ []), -(1218 ^ [] = 1215 ^ [])], [(1226 ^ 2) ^ [] : [vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])]], [(1222 ^ 2) ^ [] : [-(vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ []))]], [(4 ^ 2) ^ [1215 ^ [], 1218 ^ []] : [1218 ^ [] = 1215 ^ [], -(1215 ^ [] = 1218 ^ [])], [(1202 ^ 3) ^ [1220 ^ [], 1219 ^ [], 1218 ^ [], 1217 ^ [], 1216 ^ [], 1215 ^ []] : [1215 ^ [] = 1218 ^ [], -(vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])), -(visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))), vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])], [(1226 ^ 4) ^ [] : [vtcheck(vbind(1215 ^ [], 1216 ^ [], 1217 ^ []), vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ [])]], [_182524 ^ _182525 : [visFreeVar(1215 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs))]], [_182542 ^ _182543 : [-(vtcheck(1217 ^ [], vabs(1218 ^ [], 1219 ^ [], veabs), 1220 ^ []))]]]]]] 2.42/3.31 2.42/3.31 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 2.42/3.32 EOF