%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL755-1 : 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 : n011.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 12:29:18 PM UTC 2026 % Result : Unsatisfiable 0.27s 0.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL755-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.06 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.17/0.44 % Computer : n011.cluster.edu % 0.17/0.44 % Model : x86_64 x86_64 % 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.44 % Memory : 8046.5625MB % 0.17/0.44 % OS : Linux 6.8.0-71-generic % 0.17/0.44 % CPULimit : 300 % 0.17/0.44 % WCLimit : 300 % 0.17/0.44 % DateTime : Fri Sep 4 15:45:43 UTC 2026 % 0.17/0.44 % CPUTime : % 0.27/0.54 % SZS status Unsatisfiable % 0.27/0.54 % SZS output begin IncompleteProof % 0.27/0.54 cnf(c0, axiom, % 0.27/0.54 c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1))). % 0.27/0.54 cnf(c1, plain, % 0.27/0.54 c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)), % 0.27/0.54 inference(start, [], [c0])). % 0.27/0.54 % 0.27/0.54 cnf(c2, axiom, % 0.27/0.54 ~c_InductTermi_OIT(X2) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X2))). % 0.27/0.54 cnf(a0, assumption, % 0.27/0.54 c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1) = X2). % 0.27/0.54 cnf(c3, plain, % 0.27/0.54 $false, % 0.27/0.54 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.27/0.54 cnf(c4, plain, % 0.27/0.54 c_InductTermi_OIT(c_Lambda_OdB_OAbs(X2)), % 0.27/0.54 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.27/0.54 % 0.27/0.54 cnf(c5, axiom, % 0.27/0.54 ~c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ia,tc_nat)),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ja,tc_nat))))). % 0.27/0.54 cnf(a1, assumption, % 0.27/0.54 c_Lambda_OdB_OAbs(X2) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ia,tc_nat)),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ja,tc_nat)))). % 0.27/0.54 cnf(c6, plain, % 0.27/0.54 $false, % 0.27/0.54 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.27/0.54 cnf(c7, plain, % 0.27/0.54 $false, % 0.27/0.54 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.27/0.54 % 0.27/0.54 cnf(c8, plain, % 0.27/0.54 $false, % 0.27/0.54 inference(constraint_solving, [ % 0.27/0.54 bind(X0, c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ia,tc_nat)), % 0.27/0.54 bind(X1, c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ja,tc_nat)), % 0.27/0.54 bind(X2, c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)) % 0.27/0.54 ], % 0.27/0.54 [a0, a1])). % 0.27/0.54 % 0.27/0.54 % SZS output end IncompleteProof %------------------------------------------------------------------------------