%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL809-1 : 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 : n001.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 12:29:26 PM UTC 2026 % Result : Unsatisfiable 0.09s 0.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL809-1 : 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 : n001.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 21:50:00 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.43 % SZS status Unsatisfiable % 0.09/0.43 % SZS output begin IncompleteProof % 0.09/0.43 cnf(c0, axiom, % 0.09/0.43 ~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)))). % 0.09/0.43 cnf(c1, plain, % 0.09/0.43 ~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))), % 0.09/0.43 inference(start, [], [c0])). % 0.09/0.43 % 0.09/0.43 cnf(c2, axiom, % 0.09/0.43 ~c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1))). % 0.09/0.43 cnf(a0, assumption, % 0.09/0.43 c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Olift(X0,X1)). % 0.09/0.43 cnf(c3, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.09/0.43 cnf(c4, plain, % 0.09/0.43 ~c_InductTermi_OIT(X0), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.09/0.43 % 0.09/0.43 cnf(c5, axiom, % 0.09/0.43 c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))). % 0.09/0.43 cnf(a1, assumption, % 0.09/0.43 X0 = c_Lambda_Osubst(v_b____,v_u____,v_i____)). % 0.09/0.43 cnf(c6, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.09/0.43 cnf(c7, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.09/0.43 % 0.09/0.43 cnf(c8, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(constraint_solving, [ % 0.09/0.43 bind(X0, c_Lambda_Osubst(v_b____,v_u____,v_i____)), % 0.09/0.43 bind(X1, c_HOL_Ozero__class_Ozero(tc_nat)) % 0.09/0.43 ], % 0.09/0.43 [a0, a1])). % 0.09/0.43 % 0.09/0.43 % SZS output end IncompleteProof %------------------------------------------------------------------------------