%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM602+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 14:27:59 EDT 2022
% Result : Theorem 1.04s 1.20s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(33,axiom,
equal(szDzozmdt0(xd),szNzAzT0),
file('NUM602+3.p',unknown),
[] ).
cnf(45,axiom,
equal(sdtlpdtrp0(xe,skc94),xx),
file('NUM602+3.p',unknown),
[] ).
cnf(56,axiom,
aElementOf0(skc94,sdtlbdtrb0(xd,szDzizrdt0(xd))),
file('NUM602+3.p',unknown),
[] ).
cnf(89,axiom,
( ~ aElementOf0(u,szNzAzT0)
| ~ equal(sdtlpdtrp0(xe,u),xx) ),
file('NUM602+3.p',unknown),
[] ).
cnf(107,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szDzozmdt0(xd)) ),
file('NUM602+3.p',unknown),
[] ).
cnf(375,plain,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[33,107]),
[iquote('0:Rew:33.0,107.1')] ).
cnf(461,plain,
~ aElementOf0(skc94,szNzAzT0),
inference(res,[status(thm),theory(equality)],[45,89]),
[iquote('0:Res:45.0,89.1')] ).
cnf(588,plain,
aElementOf0(skc94,szNzAzT0),
inference(res,[status(thm),theory(equality)],[56,375]),
[iquote('0:Res:56.0,375.0')] ).
cnf(591,plain,
$false,
inference(mrr,[status(thm)],[588,461]),
[iquote('0:MRR:588.0,461.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM602+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 04:35:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.04/1.20
% 1.04/1.20 SPASS V 3.9
% 1.04/1.20 SPASS beiseite: Proof found.
% 1.04/1.20 % SZS status Theorem
% 1.04/1.20 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.20 SPASS derived 108 clauses, backtracked 0 clauses, performed 0 splits and kept 394 clauses.
% 1.04/1.20 SPASS allocated 104781 KBytes.
% 1.04/1.20 SPASS spent 0:00:00.85 on the problem.
% 1.04/1.20 0:00:00.04 for the input.
% 1.04/1.20 0:00:00.73 for the FLOTTER CNF translation.
% 1.04/1.20 0:00:00.00 for inferences.
% 1.04/1.20 0:00:00.00 for the backtracking.
% 1.04/1.20 0:00:00.04 for the reduction.
% 1.04/1.20
% 1.04/1.20
% 1.04/1.20 Here is a proof with depth 1, length 9 :
% 1.04/1.20 % SZS output start Refutation
% See solution above
% 1.04/1.20 Formulae used in the proof : m__4730 m__5009 m__ m__4891
% 1.04/1.20
%------------------------------------------------------------------------------