%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL770-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 01:08:22 PM UTC 2026
% Result : Unsatisfiable 0.30s 0.56s
% Output : Refutation 0.30s
% 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 : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(496,axiom,
hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(u))),
file('LCL770-1.p',unknown),
[] ).
cnf(557,axiom,
~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_i))),
file('LCL770-1.p',unknown),
[] ).
cnf(558,plain,
$false,
inference(mrr,[status(thm)],[557,496]),
[iquote('0:MRR:557.0,496.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL770-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_spass %d %s
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 19:14:58 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.30/0.56
% 0.30/0.56 SPASS V 3.9
% 0.30/0.56 SPASS beiseite: Proof found.
% 0.30/0.56 % SZS status Theorem
% 0.30/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.56 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 34 clauses.
% 0.30/0.56 SPASS allocated 76547 KBytes.
% 0.30/0.56 SPASS spent 0:00:00.18 on the problem.
% 0.30/0.56 0:00:00.08 for the input.
% 0.30/0.56 0:00:00.00 for the FLOTTER CNF translation.
% 0.30/0.56 0:00:00.00 for inferences.
% 0.30/0.56 0:00:00.00 for the backtracking.
% 0.30/0.56 0:00:00.02 for the reduction.
% 0.30/0.56
% 0.30/0.56
% 0.30/0.56 Here is a proof with depth 0, length 3 :
% 0.30/0.56 % SZS output start Refutation
% See solution above
% 0.30/0.56 Formulae used in the proof : cls_Var__IT_0 cls_conjecture_2
% 0.30/0.56
%------------------------------------------------------------------------------