TSTP Solution File: NUM615+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM615+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 14:28:08 EDT 2022
% Result : Theorem 0.91s 1.15s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 7 ( 0 equ; 4 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(62,axiom,
equal(sdtlpdtrp0(xe,skc95),xp),
file('NUM615+3.p',unknown),
[] ).
cnf(76,axiom,
aElementOf0(skc95,sdtlbdtrb0(xd,szDzizrdt0(xd))),
file('NUM615+3.p',unknown),
[] ).
cnf(151,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,u),xp) ),
file('NUM615+3.p',unknown),
[] ).
cnf(491,plain,
~ equal(sdtlpdtrp0(xe,skc95),xp),
inference(res,[status(thm),theory(equality)],[76,151]),
[iquote('0:Res:76.0,151.0')] ).
cnf(502,plain,
~ equal(xp,xp),
inference(rew,[status(thm),theory(equality)],[62,491]),
[iquote('0:Rew:62.0,491.0')] ).
cnf(503,plain,
$false,
inference(obv,[status(thm),theory(equality)],[502]),
[iquote('0:Obv:502.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM615+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n017.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 : Wed Jul 6 12:27:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.91/1.15
% 0.91/1.15 SPASS V 3.9
% 0.91/1.15 SPASS beiseite: Proof found.
% 0.91/1.15 % SZS status Theorem
% 0.91/1.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.15 SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 366 clauses.
% 0.91/1.15 SPASS allocated 104633 KBytes.
% 0.91/1.15 SPASS spent 0:00:00.80 on the problem.
% 0.91/1.15 0:00:00.04 for the input.
% 0.91/1.15 0:00:00.68 for the FLOTTER CNF translation.
% 0.91/1.15 0:00:00.00 for inferences.
% 0.91/1.15 0:00:00.00 for the backtracking.
% 0.91/1.15 0:00:00.04 for the reduction.
% 0.91/1.15
% 0.91/1.15
% 0.91/1.15 Here is a proof with depth 1, length 6 :
% 0.91/1.15 % SZS output start Refutation
% See solution above
% 0.91/1.15 Formulae used in the proof : m__5182 m__
% 0.91/1.15
%------------------------------------------------------------------------------