%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL844-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Abs_I2_J_0,axiom,
c_InductTermi_OIT(v_ta______) ).
cnf(cls_Lambda_0,axiom,
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
| ~ c_InductTermi_OIT(V_r) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)) ).
cnf(refute_0_0,plain,
( ~ c_InductTermi_OIT(v_ta______)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)) ),
inference(subst,[],[cls_Lambda_0:[bind(V_r,$fot(v_ta______))]]) ).
cnf(refute_0_1,plain,
c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)),
inference(resolve,[$cnf( c_InductTermi_OIT(v_ta______) )],[cls_Abs_I2_J_0,refute_0_0]) ).
cnf(refute_0_2,plain,
$false,
inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)) )],[refute_0_1,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL844-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : metis --show proof --show saturation %s
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 08:36:28 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.42
%------------------------------------------------------------------------------