%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL836-1 : 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 : n027.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 12:29:30 PM UTC 2026 % Result : Unsatisfiable 12.68s 2.30s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL836-1 : 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 % 0.10/0.36 % Computer : n027.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 17:20:28 UTC 2026 % 0.10/0.37 % CPUTime : % 12.68/2.30 % SZS status Unsatisfiable % 12.68/2.30 % SZS output begin IncompleteProof % 12.68/2.30 cnf(c0, axiom, % 12.68/2.30 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))). % 12.68/2.30 cnf(c1, plain, % 12.68/2.30 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))), % 12.68/2.30 inference(start, [], [c0])). % 12.68/2.30 % 12.68/2.30 cnf(c2, axiom, % 12.68/2.30 ~c_Type_Otyping(c_Type_Oshift(X0,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2) | ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~c_Type_Otyping(X0,X3,v_T____) | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X3),X1)))). % 12.68/2.30 cnf(a0, assumption, % 12.68/2.30 hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)) = hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X3),X1))). % 12.68/2.30 cnf(c3, plain, % 12.68/2.30 $false, % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 12.68/2.30 cnf(c4, plain, % 12.68/2.30 ~c_Type_Otyping(c_Type_Oshift(X0,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X2) | ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~c_Type_Otyping(X0,X3,v_T____), % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 12.68/2.30 % 12.68/2.30 cnf(c5, axiom, % 12.68/2.30 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)). % 12.68/2.30 cnf(a1, assumption, % 12.68/2.30 c_Type_Oshift(X0,X1,v_T____,tc_Type_Otype) = c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)). % 12.68/2.30 cnf(a2, assumption, % 12.68/2.30 c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)). % 12.68/2.30 cnf(a3, assumption, % 12.68/2.30 X2 = v_T_H____). % 12.68/2.30 cnf(c6, plain, % 12.68/2.30 ~hBOOL(hAPP(c_InductTermi_OIT,X3)) | ~c_Type_Otyping(X0,X3,v_T____), % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 12.68/2.30 cnf(c7, plain, % 12.68/2.30 $false, % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 12.68/2.30 % 12.68/2.30 cnf(c8, axiom, % 12.68/2.30 hBOOL(hAPP(c_InductTermi_OIT,v_u____))). % 12.68/2.30 cnf(a4, assumption, % 12.68/2.30 hAPP(c_InductTermi_OIT,X3) = hAPP(c_InductTermi_OIT,v_u____)). % 12.68/2.30 cnf(c9, plain, % 12.68/2.30 ~c_Type_Otyping(X0,X3,v_T____), % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a4])], [c6, c8])). % 12.68/2.30 cnf(c10, plain, % 12.68/2.30 $false, % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a4])], [c6, c8])). % 12.68/2.30 % 12.68/2.30 cnf(c11, axiom, % 12.68/2.30 c_Type_Otyping(v_e____,v_u____,v_T____)). % 12.68/2.30 cnf(a5, assumption, % 12.68/2.30 X0 = v_e____). % 12.68/2.30 cnf(a6, assumption, % 12.68/2.30 X3 = v_u____). % 12.68/2.30 cnf(a7, assumption, % 12.68/2.30 v_T____ = v_T____). % 12.68/2.30 cnf(c12, plain, % 12.68/2.30 $false, % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c9, c11])). % 12.68/2.30 cnf(c13, plain, % 12.68/2.30 $false, % 12.68/2.30 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c9, c11])). % 12.68/2.30 % 12.68/2.30 cnf(c14, plain, % 12.68/2.30 $false, % 12.68/2.30 inference(constraint_solving, [ % 12.68/2.30 bind(X0, v_e____), % 12.68/2.30 bind(X1, v_i____), % 12.68/2.30 bind(X2, v_T_H____), % 12.68/2.30 bind(X3, v_u____) % 12.68/2.30 ], % 12.68/2.30 [a0, a1, a2, a3, a4, a5, a6, a7])). % 12.68/2.30 % 12.68/2.30 % SZS output end IncompleteProof %------------------------------------------------------------------------------