%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL856-1 : 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 : n009.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 12:29:32 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL856-1 : 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 % 0.09/0.35 % Computer : n009.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 03:18:21 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.38 % SZS status Unsatisfiable % 0.13/0.38 % SZS output begin IncompleteProof % 0.13/0.38 cnf(c0, axiom, % 0.13/0.38 c_Type_Otyping(v_e,v_t,v_T)). % 0.13/0.38 cnf(c1, plain, % 0.13/0.38 c_Type_Otyping(v_e,v_t,v_T), % 0.13/0.38 inference(start, [], [c0])). % 0.13/0.38 % 0.13/0.38 cnf(c2, axiom, % 0.13/0.38 ~c_Type_Otyping(X0,X1,X2) | hBOOL(hAPP(c_InductTermi_OIT,X1))). % 0.13/0.38 cnf(a0, assumption, % 0.13/0.38 v_e = X0). % 0.13/0.38 cnf(a1, assumption, % 0.13/0.38 v_t = X1). % 0.13/0.38 cnf(a2, assumption, % 0.13/0.38 v_T = X2). % 0.13/0.38 cnf(c3, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.38 cnf(c4, plain, % 0.13/0.38 hBOOL(hAPP(c_InductTermi_OIT,X1)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.38 % 0.13/0.38 cnf(c5, axiom, % 0.13/0.38 ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB)). % 0.13/0.38 cnf(a3, assumption, % 0.13/0.38 hAPP(c_InductTermi_OIT,X1) = hAPP(c_InductTermi_OIT,X3)). % 0.13/0.38 cnf(c6, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c4, c5])). % 0.13/0.38 cnf(c7, plain, % 0.13/0.38 c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c4, c5])). % 0.13/0.38 % 0.13/0.38 cnf(c8, axiom, % 0.13/0.38 ~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB)). % 0.13/0.38 cnf(a4, assumption, % 0.13/0.38 c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB) = c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB)). % 0.13/0.38 cnf(a5, assumption, % 0.13/0.38 X3 = v_t). % 0.13/0.38 cnf(a6, assumption, % 0.13/0.38 tc_Lambda_OdB = tc_Lambda_OdB). % 0.13/0.38 cnf(c9, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])). % 0.13/0.38 cnf(c10, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])). % 0.13/0.38 % 0.13/0.38 cnf(c11, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(constraint_solving, [ % 0.13/0.38 bind(X0, v_e), % 0.13/0.38 bind(X1, v_t), % 0.13/0.38 bind(X2, v_T), % 0.13/0.38 bind(X3, v_t) % 0.13/0.38 ], % 0.13/0.38 [a0, a1, a2, a3, a4, a5, a6])). % 0.13/0.38 % 0.13/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------