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 : n139.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 05:29:55 CDT 2018 0.03/0.23 % CPUTime : 10.18/10.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 10.18/10.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 10.18/10.44 10.18/10.44 - the following list represents a non-clausal connection proof 10.18/10.44 (a tree in which each node is labelled with a nested clause) 10.18/10.44 - I^V is a skolem term f_I(V) for variable list V 10.18/10.44 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 10.18/10.44 I is the unique index of C, K distinguishes different copies 10.18/10.44 of C, and V is the list of (instantiated) variables in C 10.18/10.45 10.18/10.45 [(8192 ^ 0) ^ [12686 ^ [v_pn, 51731 ^ [], c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 51734 ^ []]] : [hAPP(c_Nat_OSuc, 12686 ^ [v_pn, 51731 ^ [], c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 51734 ^ []]) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], [(12683 ^ 1) ^ [v_pn, 51731 ^ [], c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 51734 ^ []] : [-(hAPP(c_Nat_OSuc, 12686 ^ [v_pn, 51731 ^ [], c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 51734 ^ []]) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 12687 ^ 1 : [(12688 ^ 1) ^ [] : []], c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, v_pn), 51731 ^ [], c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 51734 ^ [])], [(51736 ^ 2) ^ [] : [-(c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, v_pn), 51731 ^ [], c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 51734 ^ []))]]]] 10.18/10.45 10.18/10.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 10.24/10.45 EOF