%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 01:07:55 PM UTC 2026
% Result : Theorem 0.22s 0.52s
% 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; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
r1(skc5,skc8),
file('LCL646+1.001.p',unknown),
[] ).
cnf(7,axiom,
~ p2(skc8),
file('LCL646+1.001.p',unknown),
[] ).
cnf(10,axiom,
( ~ r1(skc5,u)
| p2(u) ),
file('LCL646+1.001.p',unknown),
[] ).
cnf(22,plain,
p2(skc8),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(24,plain,
$false,
inference(mrr,[status(thm)],[22,7]),
[iquote('0:MRR:22.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.09/0.36 % Computer : n015.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 11:43:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.22/0.52
% 0.22/0.52 SPASS V 3.9
% 0.22/0.52 SPASS beiseite: Proof found.
% 0.22/0.52 % SZS status Theorem
% 0.22/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 23 clauses.
% 0.22/0.52 SPASS allocated 85070 KBytes.
% 0.22/0.52 SPASS spent 0:00:00.14 on the problem.
% 0.22/0.52 0:00:00.06 for the input.
% 0.22/0.52 0:00:00.04 for the FLOTTER CNF translation.
% 0.22/0.52 0:00:00.00 for inferences.
% 0.22/0.52 0:00:00.00 for the backtracking.
% 0.22/0.52 0:00:00.00 for the reduction.
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 Here is a proof with depth 1, length 5 :
% 0.22/0.52 % SZS output start Refutation
% See solution above
% 0.22/0.52 Formulae used in the proof : main
% 0.22/0.52
%------------------------------------------------------------------------------