%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL762-1 : 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 : n002.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 12:29:19 PM UTC 2026 % Result : Unsatisfiable 0.14s 0.45s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.36 % Computer : n002.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 05:20:50 UTC 2026 % 0.10/0.36 % CPUTime : % 0.14/0.45 % SZS status Unsatisfiable % 0.14/0.45 % SZS output begin IncompleteProof % 0.14/0.45 cnf(c0, axiom, % 0.14/0.45 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))). % 0.14/0.45 cnf(c1, plain, % 0.14/0.45 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))), % 0.14/0.45 inference(start, [], [c0])). % 0.14/0.45 % 0.14/0.45 cnf(c2, axiom, % 0.14/0.45 c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2) = X1). % 0.14/0.45 cnf(a0, assumption, % 0.14/0.45 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2)). % 0.14/0.45 cnf(c3, plain, % 0.14/0.45 $false, % 0.14/0.45 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.45 cnf(c4, plain, % 0.14/0.45 $false, % 0.14/0.45 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.45 cnf(c5, plain, % 0.14/0.45 X4 != X1 | hBOOL(hAPP(c_InductTermi_OIT,X4)), % 0.14/0.45 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.45 % 0.14/0.45 cnf(a1, assumption, % 0.14/0.45 X4 = X1). % 0.14/0.45 cnf(c6, plain, % 0.14/0.45 hBOOL(hAPP(c_InductTermi_OIT,X4)), % 0.14/0.45 inference(reflexivity, [assumptions([a1])], [c5])). % 0.14/0.45 % 0.14/0.45 cnf(c7, axiom, % 0.14/0.45 ~hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))). % 0.14/0.45 cnf(a2, assumption, % 0.14/0.45 hAPP(c_InductTermi_OIT,X4) = hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))). % 0.14/0.45 cnf(c8, plain, % 0.14/0.45 $false, % 0.14/0.45 inference(strict_predicate_extension, [assumptions([a2])], [c6, c7])). % 0.14/0.45 cnf(c9, plain, % 0.14/0.45 $false, % 0.14/0.45 inference(strict_predicate_extension, [assumptions([a2])], [c6, c7])). % 0.14/0.45 % 0.14/0.45 cnf(c10, plain, % 0.14/0.45 $false, % 0.14/0.45 inference(constraint_solving, [ % 0.14/0.45 bind(X0, c_Lambda_OdB_OApp), % 0.14/0.45 bind(X1, c_Lambda_OdB_OVar(v_n)), % 0.14/0.45 bind(X2, tc_Lambda_OdB), % 0.14/0.45 bind(X3, tc_Lambda_OdB), % 0.14/0.45 bind(X4, c_Lambda_OdB_OVar(v_n)) % 0.14/0.45 ], % 0.14/0.45 [a0, a1, a2])). % 0.14/0.45 % 0.14/0.45 % SZS output end IncompleteProof %------------------------------------------------------------------------------