%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT071+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:19:59 AM UTC 2026
% Result : Theorem 0.24s 0.62s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
in_closed(skc1,n0,n5),
file('MGT071+1.p',unknown),
[] ).
cnf(8,axiom,
in_closed(skc1,n10,n15),
file('MGT071+1.p',unknown),
[] ).
cnf(13,axiom,
axis_conflict(n0,n5,n10,n15),
file('MGT071+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ in_closed(u,v,w)
| ~ in_closed(u,x,y)
| ~ axis_conflict(x,y,v,w) ),
file('MGT071+1.p',unknown),
[] ).
cnf(89,plain,
( ~ in_closed(skc1,u,v)
| ~ axis_conflict(u,v,n10,n15) ),
inference(res,[status(thm),theory(equality)],[8,71]),
[iquote('0:Res:8.0,71.2')] ).
cnf(106,plain,
~ axis_conflict(n0,n5,n10,n15),
inference(res,[status(thm),theory(equality)],[7,89]),
[iquote('0:Res:7.0,89.1')] ).
cnf(152,plain,
$false,
inference(mrr,[status(thm)],[106,13]),
[iquote('0:MRR:106.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.11/0.43 % Computer : n010.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Mon Sep 7 13:54:41 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.24/0.62
% 0.24/0.62 SPASS V 3.9
% 0.24/0.62 SPASS beiseite: Proof found.
% 0.24/0.62 % SZS status Theorem
% 0.24/0.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.62 SPASS derived 72 clauses, backtracked 0 clauses, performed 0 splits and kept 93 clauses.
% 0.24/0.62 SPASS allocated 98174 KBytes.
% 0.24/0.62 SPASS spent 0:00:00.17 on the problem.
% 0.24/0.62 0:00:00.06 for the input.
% 0.24/0.62 0:00:00.06 for the FLOTTER CNF translation.
% 0.24/0.62 0:00:00.00 for inferences.
% 0.24/0.62 0:00:00.00 for the backtracking.
% 0.24/0.62 0:00:00.00 for the reduction.
% 0.24/0.62
% 0.24/0.62
% 0.24/0.62 Here is a proof with depth 2, length 7 :
% 0.24/0.62 % SZS output start Refutation
% See solution above
% 0.24/0.62 Formulae used in the proof : no_false_conflict conflict_hyp axis_conflict_def
% 0.24/0.62
%------------------------------------------------------------------------------