%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL844-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %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 01:08:35 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(56,axiom,
c_InductTermi_OIT(v_ta______),
file('LCL844-1.p',unknown),
[] ).
cnf(61,axiom,
( ~ c_InductTermi_OIT(u)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(u)) ),
file('LCL844-1.p',unknown),
[] ).
cnf(69,axiom,
~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)),
file('LCL844-1.p',unknown),
[] ).
cnf(70,plain,
~ c_InductTermi_OIT(v_ta______),
inference(res,[status(thm),theory(equality)],[61,69]),
[iquote('0:Res:61.1,69.0')] ).
cnf(71,plain,
$false,
inference(mrr,[status(thm)],[70,56]),
[iquote('0:MRR:70.0,56.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL844-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_spass %d %s
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 08:36:43 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.22/0.48
% 0.22/0.48 SPASS V 3.9
% 0.22/0.48 SPASS beiseite: Proof found.
% 0.22/0.48 % SZS status Theorem
% 0.22/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 58 clauses.
% 0.22/0.48 SPASS allocated 75665 KBytes.
% 0.22/0.48 SPASS spent 0:00:00.11 on the problem.
% 0.22/0.48 0:00:00.06 for the input.
% 0.22/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.48 0:00:00.00 for inferences.
% 0.22/0.48 0:00:00.00 for the backtracking.
% 0.22/0.48 0:00:00.00 for the reduction.
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 Here is a proof with depth 1, length 5 :
% 0.22/0.48 % SZS output start Refutation
% See solution above
% 0.22/0.48 Formulae used in the proof : cls_Abs_I2_J_0 cls_Lambda_0 cls_conjecture_0
% 0.22/0.48
%------------------------------------------------------------------------------