%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL846-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 12:43:42 PM UTC 2026
% Result : Unsatisfiable 6.57s 6.89s
% Output : CNFRefutation 6.67s
% 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_lift__IT_0,axiom,
( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
| ~ c_InductTermi_OIT(V_t) ) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(v_ta____) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))) ).
cnf(refute_0_0,plain,
( ~ c_InductTermi_OIT(v_ta____)
| c_InductTermi_OIT(c_Lambda_Olift(v_ta____,X_548)) ),
inference(subst,[],[cls_lift__IT_0:[bind(V_i,$fot(X_548)),bind(V_t,$fot(v_ta____))]]) ).
cnf(refute_0_1,plain,
c_InductTermi_OIT(c_Lambda_Olift(v_ta____,X_548)),
inference(resolve,[$cnf( c_InductTermi_OIT(v_ta____) )],[cls_CHAINED_0,refute_0_0]) ).
cnf(refute_0_2,plain,
c_InductTermi_OIT(c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(subst,[],[refute_0_1:[bind(X_548,$fot(c_HOL_Ozero__class_Ozero(tc_nat)))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))) )],[refute_0_2,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL846-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 14:00:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.57/6.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/6.89
% 6.57/6.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.67/6.90
%------------------------------------------------------------------------------