TSTP Solution File: NUM560+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM560+2 : TPTP v8.1.0. 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 14:27:31 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Refutation 0.42s
% 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 : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
aElementOf0(skc1,sdtlbdtrb0(xF,xy)),
file('NUM560+2.p',unknown),
[] ).
cnf(12,axiom,
~ aElementOf0(skc1,szDzozmdt0(xF)),
file('NUM560+2.p',unknown),
[] ).
cnf(38,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xF,xy))
| aElementOf0(u,szDzozmdt0(xF)) ),
file('NUM560+2.p',unknown),
[] ).
cnf(233,plain,
aElementOf0(skc1,szDzozmdt0(xF)),
inference(res,[status(thm),theory(equality)],[11,38]),
[iquote('0:Res:11.0,38.0')] ).
cnf(247,plain,
$false,
inference(mrr,[status(thm)],[233,12]),
[iquote('0:MRR:233.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 12:03:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/0.61
% 0.42/0.61 SPASS V 3.9
% 0.42/0.61 SPASS beiseite: Proof found.
% 0.42/0.61 % SZS status Theorem
% 0.42/0.61 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61 SPASS derived 38 clauses, backtracked 0 clauses, performed 0 splits and kept 127 clauses.
% 0.42/0.61 SPASS allocated 99800 KBytes.
% 0.42/0.61 SPASS spent 0:00:00.26 on the problem.
% 0.42/0.61 0:00:00.04 for the input.
% 0.42/0.61 0:00:00.17 for the FLOTTER CNF translation.
% 0.42/0.61 0:00:00.00 for inferences.
% 0.42/0.61 0:00:00.00 for the backtracking.
% 0.42/0.61 0:00:00.02 for the reduction.
% 0.42/0.61
% 0.42/0.61
% 0.42/0.61 Here is a proof with depth 1, length 5 :
% 0.42/0.61 % SZS output start Refutation
% See solution above
% 0.42/0.61 Formulae used in the proof : m__
% 0.42/0.61
%------------------------------------------------------------------------------