%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL748-1 : 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 : n012.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 12:29:17 PM UTC 2026 % Result : Unsatisfiable 0.18s 0.33s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.02 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Sat Sep 5 09:04:12 UTC 2026 % 0.03/0.29 % CPUTime : % 0.18/0.33 % SZS status Unsatisfiable % 0.18/0.33 % SZS output begin IncompleteProof % 0.18/0.33 cnf(c0, axiom, % 0.18/0.33 c_InductTermi_OIT(c_Lambda_Olift(v_r,X0))). % 0.18/0.33 cnf(c1, plain, % 0.18/0.33 c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)), % 0.18/0.33 inference(start, [], [c0])). % 0.18/0.33 % 0.18/0.33 cnf(c2, axiom, % 0.18/0.33 ~c_InductTermi_OIT(X1) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))). % 0.18/0.33 cnf(a0, assumption, % 0.18/0.33 c_Lambda_Olift(v_r,X0) = X1). % 0.18/0.33 cnf(c3, plain, % 0.18/0.33 $false, % 0.18/0.33 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.18/0.33 cnf(c4, plain, % 0.18/0.33 c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1)), % 0.18/0.33 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.18/0.33 % 0.18/0.33 cnf(c5, axiom, % 0.18/0.33 c_Lambda_Olift(c_Lambda_OdB_OAbs(X2),X3) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))). % 0.18/0.33 cnf(a1, assumption, % 0.18/0.33 c_Lambda_OdB_OAbs(X1) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))). % 0.18/0.33 cnf(c6, plain, % 0.18/0.33 $false, % 0.18/0.33 inference(strict_function_extension, [assumptions([a1])], [c4, c5])). % 0.18/0.33 cnf(c7, plain, % 0.18/0.33 $false, % 0.18/0.33 inference(strict_function_extension, [assumptions([a1])], [c4, c5])). % 0.18/0.33 cnf(c8, plain, % 0.18/0.33 X4 != c_Lambda_Olift(c_Lambda_OdB_OAbs(X2),X3) | c_InductTermi_OIT(X4), % 0.18/0.33 inference(strict_function_extension, [assumptions([a1])], [c4, c5])). % 0.18/0.33 % 0.18/0.33 cnf(a2, assumption, % 0.18/0.33 X4 = c_Lambda_Olift(c_Lambda_OdB_OAbs(X2),X3)). % 0.18/0.33 cnf(c9, plain, % 0.18/0.33 c_InductTermi_OIT(X4), % 0.18/0.33 inference(reflexivity, [assumptions([a2])], [c8])). % 0.18/0.33 % 0.18/0.33 cnf(c10, axiom, % 0.18/0.33 ~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia))). % 0.18/0.33 cnf(a3, assumption, % 0.18/0.33 X4 = c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)). % 0.18/0.33 cnf(c11, plain, % 0.18/0.33 $false, % 0.18/0.33 inference(strict_predicate_extension, [assumptions([a3])], [c9, c10])). % 0.18/0.33 cnf(c12, plain, % 0.18/0.33 $false, % 0.18/0.33 inference(strict_predicate_extension, [assumptions([a3])], [c9, c10])). % 0.18/0.33 % 0.18/0.33 cnf(c13, plain, % 0.18/0.33 $false, % 0.18/0.33 inference(constraint_solving, [ % 0.18/0.33 bind(X0, c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)), % 0.18/0.33 bind(X1, c_Lambda_Olift(v_r,X0)), % 0.18/0.33 bind(X2, v_r), % 0.18/0.33 bind(X3, v_ia), % 0.18/0.33 bind(X4, c_Lambda_Olift(c_Lambda_OdB_OAbs(X2),X3)) % 0.18/0.33 ], % 0.18/0.33 [a0, a1, a2, a3])). % 0.18/0.33 % 0.18/0.33 % SZS output end IncompleteProof %------------------------------------------------------------------------------