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 0.03/0.23 % Computer : n133.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 04:46:25 CDT 2018 0.03/0.23 % CPUTime : 0.48/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.52/1.27 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 0.52/1.27 0.52/1.27 - the following list represents a non-clausal connection proof 0.52/1.27 (a tree in which each node is labelled with a nested clause) 0.52/1.27 - I^V is a skolem term f_I(V) for variable list V 0.52/1.27 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 0.52/1.27 I is the unique index of C, K distinguishes different copies 0.52/1.27 of C, and V is the list of (instantiated) variables in C 0.52/1.28 0.52/1.28 [(246 ^ 0) ^ [] : [244 ^ [] = union(powerset(244 ^ []))], [(4 ^ 1) ^ [244 ^ [], union(powerset(244 ^ []))] : [-(244 ^ [] = union(powerset(244 ^ []))), union(powerset(244 ^ [])) = 244 ^ []], [(196 ^ 2) ^ [244 ^ [], powerset(244 ^ [])] : [-(union(powerset(244 ^ [])) = 244 ^ []), 201 ^ 2 : [(202 ^ 2) ^ [] : [-(in(197 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])]))], (204 ^ 2) ^ [] : [-(in(200 ^ [244 ^ [], powerset(244 ^ [])], powerset(244 ^ [])))], (206 ^ 2) ^ [] : [in(197 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])]], 207 ^ 2 : [(208 ^ 2) ^ [] : [-(in(197 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ []))], (210 ^ 2) ^ [_20928] : [in(197 ^ [244 ^ [], powerset(244 ^ [])], _20928), in(_20928, powerset(244 ^ []))]]], [(111 ^ 5) ^ [244 ^ [], 200 ^ [244 ^ [], powerset(244 ^ [])]] : [-(in(197 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])), 114 ^ 5 : [(115 ^ 5) ^ [197 ^ [244 ^ [], powerset(244 ^ [])]] : [in(197 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])])]], subset(200 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])], [(34 ^ 8) ^ [200 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])], 197 ^ [244 ^ [], powerset(244 ^ [])], 197 ^ [244 ^ [], powerset(244 ^ [])]] : [-(in(197 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])])), in(197 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])]), 197 ^ [244 ^ [], powerset(244 ^ [])] = 197 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])] = 200 ^ [244 ^ [], powerset(244 ^ [])]], [(202 ^ 9) ^ [] : [-(in(197 ^ [244 ^ [], powerset(244 ^ [])], 200 ^ [244 ^ [], powerset(244 ^ [])]))]], [(2 ^ 9) ^ [197 ^ [244 ^ [], powerset(244 ^ [])]] : [-(197 ^ [244 ^ [], powerset(244 ^ [])] = 197 ^ [244 ^ [], powerset(244 ^ [])])]], [(2 ^ 9) ^ [200 ^ [244 ^ [], powerset(244 ^ [])]] : [-(200 ^ [244 ^ [], powerset(244 ^ [])] = 200 ^ [244 ^ [], powerset(244 ^ [])])]]], [(95 ^ 6) ^ [powerset(244 ^ []), 244 ^ []] : [-(subset(200 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ [])), 98 ^ 6 : [(99 ^ 6) ^ [200 ^ [244 ^ [], powerset(244 ^ [])]] : [in(200 ^ [244 ^ [], powerset(244 ^ [])], powerset(244 ^ []))]], powerset(244 ^ []) = powerset(244 ^ [])], [(204 ^ 9) ^ [] : [-(in(200 ^ [244 ^ [], powerset(244 ^ [])], powerset(244 ^ [])))]], [(2 ^ 7) ^ [powerset(244 ^ [])] : [-(powerset(244 ^ []) = powerset(244 ^ []))]]]], [(210 ^ 5) ^ [244 ^ []] : [in(197 ^ [244 ^ [], powerset(244 ^ [])], 244 ^ []), in(244 ^ [], powerset(244 ^ []))], [(95 ^ 6) ^ [powerset(244 ^ []), 244 ^ []] : [-(in(244 ^ [], powerset(244 ^ []))), 98 ^ 6 : [(105 ^ 6) ^ [244 ^ []] : [subset(244 ^ [], 244 ^ [])]], powerset(244 ^ []) = powerset(244 ^ [])], [(78 ^ 9) ^ [_23886, 244 ^ []] : [-(subset(244 ^ [], 244 ^ []))]], [(2 ^ 7) ^ [powerset(244 ^ [])] : [-(powerset(244 ^ []) = powerset(244 ^ []))]]]]]]] 0.52/1.28 0.52/1.28 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 0.52/1.28 EOF