%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 12:43:34 PM UTC 2026
% Result : Unsatisfiable 86.93s 87.24s
% Output : CNFRefutation 86.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_app__Var__IT_0,axiom,
( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i)))
| ~ c_InductTermi_OIT(V_t) ) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))) ).
cnf(refute_0_0,plain,
( ~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)))
| c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(X_2320))) ),
inference(subst,[],[cls_app__Var__IT_0:[bind(V_i,$fot(X_2320)),bind(V_t,$fot(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))))]]) ).
cnf(refute_0_1,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(X_2320))),
inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))) )],[cls_CHAINED_0,refute_0_0]) ).
cnf(refute_0_2,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(subst,[],[refute_0_1:[bind(X_2320,$fot(c_HOL_Ozero__class_Ozero(tc_nat)))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))) )],[refute_0_2,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : metis --show proof --show saturation %s
% 0.07/0.35 % Computer : n028.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 00:06:59 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 86.93/87.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.93/87.24
% 86.93/87.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 86.93/87.24
%------------------------------------------------------------------------------