%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL826-1 : 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 12:29:28 PM UTC 2026 % Result : Unsatisfiable 5.96s 1.12s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL826-1 : 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 % 0.05/0.29 % Computer : n012.cluster.edu % 0.05/0.29 % Model : x86_64 x86_64 % 0.05/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.05/0.29 % Memory : 8046.5625MB % 0.05/0.29 % OS : Linux 6.8.0-71-generic % 0.05/0.29 % CPULimit : 300 % 0.05/0.29 % WCLimit : 300 % 0.05/0.29 % DateTime : Sat Sep 5 09:25:42 UTC 2026 % 0.05/0.29 % CPUTime : % 5.96/1.12 % SZS status Unsatisfiable % 5.96/1.12 % SZS output begin IncompleteProof % 5.96/1.12 cnf(c0, axiom, % 5.96/1.12 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)))). % 5.96/1.12 cnf(c1, plain, % 5.96/1.12 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))), % 5.96/1.12 inference(start, [], [c0])). % 5.96/1.12 % 5.96/1.12 cnf(c2, axiom, % 5.96/1.12 ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_a____),X2)) | ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)) | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X3),X1)))). % 5.96/1.12 cnf(a0, assumption, % 5.96/1.12 hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)) = hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X3),X1))). % 5.96/1.12 cnf(c3, plain, % 5.96/1.12 $false, % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 5.96/1.12 cnf(c4, plain, % 5.96/1.12 ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_a____),X2)) | ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)), % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 5.96/1.12 % 5.96/1.12 cnf(c5, axiom, % 5.96/1.12 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa))). % 5.96/1.12 cnf(a1, assumption, % 5.96/1.12 hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_a____),X2) = hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)). % 5.96/1.12 cnf(c6, plain, % 5.96/1.12 ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)), % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 5.96/1.12 cnf(c7, plain, % 5.96/1.12 $false, % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 5.96/1.12 % 5.96/1.12 cnf(c8, axiom, % 5.96/1.12 hBOOL(hAPP(c_InductTermi_OIT,v_xb))). % 5.96/1.12 cnf(a2, assumption, % 5.96/1.12 hAPP(c_InductTermi_OIT,X3) = hAPP(c_InductTermi_OIT,v_xb)). % 5.96/1.12 cnf(c9, plain, % 5.96/1.12 ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)), % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 5.96/1.12 cnf(c10, plain, % 5.96/1.12 $false, % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 5.96/1.12 % 5.96/1.12 cnf(c11, axiom, % 5.96/1.12 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))). % 5.96/1.12 cnf(a3, assumption, % 5.96/1.12 hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____) = hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)). % 5.96/1.12 cnf(c12, plain, % 5.96/1.12 $false, % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 5.96/1.12 cnf(c13, plain, % 5.96/1.12 $false, % 5.96/1.12 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 5.96/1.12 % 5.96/1.12 cnf(c14, plain, % 5.96/1.12 $false, % 5.96/1.12 inference(constraint_solving, [ % 5.96/1.12 bind(X0, v_x), % 5.96/1.12 bind(X1, v_xc), % 5.96/1.12 bind(X2, v_xa), % 5.96/1.12 bind(X3, v_xb) % 5.96/1.12 ], % 5.96/1.12 [a0, a1, a2, a3])). % 5.96/1.12 % 5.96/1.12 % SZS output end IncompleteProof %------------------------------------------------------------------------------