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 0.03/0.22 % Computer : n021.star.cs.uiowa.edu 0.03/0.22 % Model : x86_64 x86_64 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.22 % Memory : 32218.625MB 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.22 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:04:25 CDT 2018 0.03/0.23 % CPUTime : 6.62/7.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.67/7.38 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.67/7.38 6.67/7.38 - the following list represents a non-clausal connection proof 6.67/7.38 (a tree in which each node is labelled with a nested clause) 6.67/7.38 - I^V is a skolem term f_I(V) for variable list V 6.67/7.38 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 6.67/7.38 I is the unique index of C, K distinguishes different copies 6.67/7.38 of C, and V is the list of (instantiated) variables in C 6.67/7.38 6.67/7.38 [(6331 ^ 0) ^ [] : [6332 ^ 0 : [(6335 ^ 0) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ [])))]], 6336 ^ 0 : [(6339 ^ 0) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))]]], [(2565 ^ 3) ^ [6329 ^ []] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))], [(3937 ^ 4) ^ [6329 ^ []] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))], [(6333 ^ 5) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))]]]], [(3943 ^ 3) ^ [6329 ^ []] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))], [(2559 ^ 4) ^ [6329 ^ []] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ [])))], [(6337 ^ 5) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ []))))]]]]] 6.67/7.39 6.67/7.39 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.67/7.39 EOF