TSTP Solution File: NUM625+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM625+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 14:28:15 EDT 2022
% Result : Theorem 1.08s 1.24s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(39,axiom,
equal(xp,xx),
file('NUM625+3.p',unknown),
[] ).
cnf(57,axiom,
equal(szmzizndt0(xQ),xp),
file('NUM625+3.p',unknown),
[] ).
cnf(74,axiom,
~ equal(szmzizndt0(xQ),xx),
file('NUM625+3.p',unknown),
[] ).
cnf(427,plain,
equal(szmzizndt0(xQ),xx),
inference(rew,[status(thm),theory(equality)],[39,57]),
[iquote('0:Rew:39.0,57.0')] ).
cnf(430,plain,
~ equal(xx,xx),
inference(rew,[status(thm),theory(equality)],[427,74]),
[iquote('0:Rew:427.0,74.0')] ).
cnf(431,plain,
$false,
inference(obv,[status(thm),theory(equality)],[430]),
[iquote('0:Obv:430.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM625+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n008.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jul 6 22:55:53 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.08/1.24
% 1.08/1.24 SPASS V 3.9
% 1.08/1.24 SPASS beiseite: Proof found.
% 1.08/1.24 % SZS status Theorem
% 1.08/1.24 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.24 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 59 clauses.
% 1.08/1.24 SPASS allocated 105176 KBytes.
% 1.08/1.24 SPASS spent 0:00:00.91 on the problem.
% 1.08/1.24 0:00:00.04 for the input.
% 1.08/1.24 0:00:00.82 for the FLOTTER CNF translation.
% 1.08/1.24 0:00:00.00 for inferences.
% 1.08/1.24 0:00:00.00 for the backtracking.
% 1.08/1.24 0:00:00.00 for the reduction.
% 1.08/1.24
% 1.08/1.24
% 1.08/1.24 Here is a proof with depth 0, length 6 :
% 1.08/1.24 % SZS output start Refutation
% See solution above
% 1.08/1.24 Formulae used in the proof : m__5496 m__5147 m__5348
% 1.08/1.24
%------------------------------------------------------------------------------