%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:29:20 PM UTC 2026 % Result : Unsatisfiable 0.11s 0.44s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.11/0.36 % Computer : n003.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 08:27:50 UTC 2026 % 0.11/0.36 % CPUTime : % 0.11/0.44 % SZS status Unsatisfiable % 0.11/0.44 % SZS output begin IncompleteProof % 0.11/0.44 cnf(c0, axiom, % 0.11/0.44 c_InductTermi_OIT(v_r)). % 0.11/0.44 cnf(c1, plain, % 0.11/0.44 c_InductTermi_OIT(v_r), % 0.11/0.44 inference(start, [], [c0])). % 0.11/0.44 % 0.11/0.44 cnf(c2, axiom, % 0.11/0.44 ~c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))). % 0.11/0.44 cnf(a0, assumption, % 0.11/0.44 v_r = X0). % 0.11/0.44 cnf(c3, plain, % 0.11/0.44 $false, % 0.11/0.44 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.11/0.44 cnf(c4, plain, % 0.11/0.44 c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)), % 0.11/0.44 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.11/0.44 % 0.11/0.44 cnf(c5, axiom, % 0.11/0.44 ~c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat)))). % 0.11/0.44 cnf(a1, assumption, % 0.11/0.44 c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))). % 0.11/0.44 cnf(c6, plain, % 0.11/0.44 $false, % 0.11/0.44 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.11/0.44 cnf(c7, plain, % 0.11/0.44 $false, % 0.11/0.44 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.11/0.44 % 0.11/0.44 cnf(c8, plain, % 0.11/0.44 $false, % 0.11/0.44 inference(constraint_solving, [ % 0.11/0.44 bind(X0, v_r), % 0.11/0.44 bind(X1, v_i), % 0.11/0.44 bind(X2, c_HOL_Ozero__class_Ozero(tc_nat)) % 0.11/0.44 ], % 0.11/0.44 [a0, a1])). % 0.11/0.44 % 0.11/0.44 % SZS output end IncompleteProof %------------------------------------------------------------------------------