%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Tue Sep 8 06:20:02 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 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(7,axiom,
equal(w__dfg,v600),
file('MGT107+1.p',unknown),
[] ).
cnf(8,axiom,
equal(w__dfg,v800),
file('MGT107+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(v800,v600),
file('MGT107+1.p',unknown),
[] ).
cnf(52,plain,
equal(v800,v600),
inference(rew,[status(thm),theory(equality)],[8,7]),
[iquote('0:Rew:8.0,7.0')] ).
cnf(55,plain,
~ equal(v600,v600),
inference(rew,[status(thm),theory(equality)],[52,9]),
[iquote('0:Rew:52.0,9.0')] ).
cnf(56,plain,
$false,
inference(obv,[status(thm),theory(equality)],[55]),
[iquote('0:Obv:55.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : run_spass %d %s
% 0.09/0.35 % Computer : n029.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:44:26 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.22/0.54
% 0.22/0.54 SPASS V 3.9
% 0.22/0.54 SPASS beiseite: Proof found.
% 0.22/0.54 % SZS status Theorem
% 0.22/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.54 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.22/0.54 SPASS allocated 98011 KBytes.
% 0.22/0.54 SPASS spent 0:00:00.16 on the problem.
% 0.22/0.54 0:00:00.06 for the input.
% 0.22/0.54 0:00:00.06 for the FLOTTER CNF translation.
% 0.22/0.54 0:00:00.00 for inferences.
% 0.22/0.54 0:00:00.00 for the backtracking.
% 0.22/0.54 0:00:00.00 for the reduction.
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 Here is a proof with depth 0, length 6 :
% 0.22/0.54 % SZS output start Refutation
% See solution above
% 0.22/0.54 Formulae used in the proof : wit_eq1 wit_eq2 distinct
% 0.22/0.54
%------------------------------------------------------------------------------