%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 01:07:49 PM UTC 2026
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 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,
p100(skc3),
file('LCL636+1.001.p',unknown),
[] ).
cnf(3,axiom,
~ p2(skc6),
file('LCL636+1.001.p',unknown),
[] ).
cnf(5,axiom,
~ p101(skc3),
file('LCL636+1.001.p',unknown),
[] ).
cnf(8,axiom,
( ~ r1(skc3,u)
| p2(u) ),
file('LCL636+1.001.p',unknown),
[] ).
cnf(11,axiom,
( ~ p100(skc3)
| r1(skc3,skc6)
| p101(skc3) ),
file('LCL636+1.001.p',unknown),
[] ).
cnf(34,plain,
r1(skc3,skc6),
inference(mrr,[status(thm)],[11,2,5]),
[iquote('0:MRR:11.0,11.2,2.0,5.0')] ).
cnf(65,plain,
p2(skc6),
inference(res,[status(thm),theory(equality)],[34,8]),
[iquote('0:Res:34.0,8.0')] ).
cnf(66,plain,
$false,
inference(mrr,[status(thm)],[65,3]),
[iquote('0:MRR:65.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 13:23:06 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.21/0.53
% 0.21/0.53 SPASS V 3.9
% 0.21/0.53 SPASS beiseite: Proof found.
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 SPASS derived 7 clauses, backtracked 0 clauses, performed 1 splits and kept 33 clauses.
% 0.21/0.53 SPASS allocated 97709 KBytes.
% 0.21/0.53 SPASS spent 0:00:00.15 on the problem.
% 0.21/0.53 0:00:00.06 for the input.
% 0.21/0.53 0:00:00.05 for the FLOTTER CNF translation.
% 0.21/0.53 0:00:00.00 for inferences.
% 0.21/0.53 0:00:00.00 for the backtracking.
% 0.21/0.53 0:00:00.00 for the reduction.
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 Here is a proof with depth 1, length 8 :
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 Formulae used in the proof : main
% 0.21/0.53
%------------------------------------------------------------------------------