%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL806-1 : 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 : n028.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 12:29:25 PM UTC 2026 % Result : Unsatisfiable 9.17s 1.66s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL806-1 : 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 % 0.09/0.37 % Computer : n028.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Fri Sep 4 12:47:13 UTC 2026 % 0.09/0.37 % CPUTime : % 9.17/1.66 % SZS status Unsatisfiable % 9.17/1.66 % SZS output begin IncompleteProof % 9.17/1.66 cnf(c0, axiom, % 9.17/1.66 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc)))). % 9.17/1.66 cnf(c1, plain, % 9.17/1.66 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))), % 9.17/1.66 inference(start, [], [c0])). % 9.17/1.66 % 9.17/1.66 cnf(c2, axiom, % 9.17/1.66 ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_b____),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_b____),X3),X1)))). % 9.17/1.66 cnf(a0, assumption, % 9.17/1.66 hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc)) = hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X3),X1))). % 9.17/1.66 cnf(c3, plain, % 9.17/1.66 $false, % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 9.17/1.66 cnf(c4, plain, % 9.17/1.66 ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_b____),X2)) | ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)), % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 9.17/1.66 % 9.17/1.66 cnf(c5, axiom, % 9.17/1.66 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa))). % 9.17/1.66 cnf(a1, assumption, % 9.17/1.66 hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),v_T____)),v_b____),X2) = hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)). % 9.17/1.66 cnf(c6, plain, % 9.17/1.66 ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)), % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 9.17/1.66 cnf(c7, plain, % 9.17/1.66 $false, % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 9.17/1.66 % 9.17/1.66 cnf(c8, axiom, % 9.17/1.66 hBOOL(hAPP(c_InductTermi_OIT,v_xb))). % 9.17/1.66 cnf(a2, assumption, % 9.17/1.66 hAPP(c_InductTermi_OIT,X3) = hAPP(c_InductTermi_OIT,v_xb)). % 9.17/1.66 cnf(c9, plain, % 9.17/1.66 ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____)), % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 9.17/1.66 cnf(c10, plain, % 9.17/1.66 $false, % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 9.17/1.66 % 9.17/1.66 cnf(c11, axiom, % 9.17/1.66 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))). % 9.17/1.66 cnf(a3, assumption, % 9.17/1.66 hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),v_T____) = hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)). % 9.17/1.66 cnf(c12, plain, % 9.17/1.66 $false, % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 9.17/1.66 cnf(c13, plain, % 9.17/1.66 $false, % 9.17/1.66 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 9.17/1.66 % 9.17/1.66 cnf(c14, plain, % 9.17/1.66 $false, % 9.17/1.66 inference(constraint_solving, [ % 9.17/1.66 bind(X0, v_x), % 9.17/1.66 bind(X1, v_xc), % 9.17/1.66 bind(X2, v_xa), % 9.17/1.66 bind(X3, v_xb) % 9.17/1.66 ], % 9.17/1.66 [a0, a1, a2, a3])). % 9.17/1.66 % 9.17/1.66 % SZS output end IncompleteProof %------------------------------------------------------------------------------