TSTP Solution File: NUM600+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM600+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 14:27:57 EDT 2022
% Result : Theorem 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 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('NUM600+3.p',unknown),
[] ).
cnf(35,axiom,
equal(sdtlpdtrp0(xe,skc3),skc2),
file('NUM600+3.p',unknown),
[] ).
cnf(45,axiom,
aElementOf0(skc3,sdtlbdtrb0(xd,szDzizrdt0(xd))),
file('NUM600+3.p',unknown),
[] ).
cnf(101,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szDzozmdt0(xd)) ),
file('NUM600+3.p',unknown),
[] ).
cnf(178,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(u,szNzAzT0)
| ~ equal(sdtlpdtrp0(xe,u),skc2) ),
file('NUM600+3.p',unknown),
[] ).
cnf(370,plain,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[33,101]),
[iquote('0:Rew:33.0,101.1')] ).
cnf(391,plain,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,u),skc2) ),
inference(mrr,[status(thm)],[178,370]),
[iquote('0:MRR:178.1,370.1')] ).
cnf(509,plain,
~ equal(sdtlpdtrp0(xe,skc3),skc2),
inference(res,[status(thm),theory(equality)],[45,391]),
[iquote('0:Res:45.0,391.0')] ).
cnf(543,plain,
~ equal(skc2,skc2),
inference(rew,[status(thm),theory(equality)],[35,509]),
[iquote('0:Rew:35.0,509.0')] ).
cnf(544,plain,
$false,
inference(obv,[status(thm),theory(equality)],[543]),
[iquote('0:Obv:543.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM600+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jul 6 10:53:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.01/1.18
% 1.01/1.18 SPASS V 3.9
% 1.01/1.18 SPASS beiseite: Proof found.
% 1.01/1.18 % SZS status Theorem
% 1.01/1.18 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.18 SPASS derived 75 clauses, backtracked 0 clauses, performed 0 splits and kept 337 clauses.
% 1.01/1.18 SPASS allocated 104777 KBytes.
% 1.01/1.18 SPASS spent 0:00:00.81 on the problem.
% 1.01/1.18 0:00:00.04 for the input.
% 1.01/1.18 0:00:00.70 for the FLOTTER CNF translation.
% 1.01/1.18 0:00:00.00 for inferences.
% 1.01/1.18 0:00:00.00 for the backtracking.
% 1.01/1.18 0:00:00.04 for the reduction.
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 Here is a proof with depth 1, length 10 :
% 1.01/1.18 % SZS output start Refutation
% See solution above
% 1.01/1.18 Formulae used in the proof : m__4730 m__ m__4891
% 1.01/1.18
%------------------------------------------------------------------------------