%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL774-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 01:08:23 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 2 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(350,axiom,
c_InductTermi_OIT(c_Lambda_OdB_OVar(u)),
file('LCL774-1.p',unknown),
[] ).
cnf(382,axiom,
~ c_InductTermi_OIT(c_Lambda_OdB_OVar(v_i)),
file('LCL774-1.p',unknown),
[] ).
cnf(383,plain,
$false,
inference(mrr,[status(thm)],[382,350]),
[iquote('0:MRR:382.0,350.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL774-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_spass %d %s
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 17:27:59 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.22/0.51
% 0.22/0.51 SPASS V 3.9
% 0.22/0.51 SPASS beiseite: Proof found.
% 0.22/0.51 % SZS status Theorem
% 0.22/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses.
% 0.22/0.51 SPASS allocated 76151 KBytes.
% 0.22/0.51 SPASS spent 0:00:00.14 on the problem.
% 0.22/0.51 0:00:00.07 for the input.
% 0.22/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.51 0:00:00.00 for inferences.
% 0.22/0.51 0:00:00.00 for the backtracking.
% 0.22/0.51 0:00:00.01 for the reduction.
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 Here is a proof with depth 0, length 3 :
% 0.22/0.51 % SZS output start Refutation
% See solution above
% 0.22/0.51 Formulae used in the proof : cls_Var__IT_0 cls_conjecture_2
% 0.22/0.51
%------------------------------------------------------------------------------