TSTP Solution File: NUM561+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM561+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 0.45s 0.66s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('NUM561+2.p',unknown),
[] ).
cnf(49,axiom,
( ~ aElementOf0(u,szDzozmdt0(xF))
| ~ equal(sdtlpdtrp0(xF,u),sdtlpdtrp0(xF,xx)) ),
file('NUM561+2.p',unknown),
[] ).
cnf(153,plain,
~ equal(sdtlpdtrp0(xF,xx),sdtlpdtrp0(xF,xx)),
inference(res,[status(thm),theory(equality)],[9,49]),
[iquote('0:Res:9.0,49.0')] ).
cnf(154,plain,
$false,
inference(obv,[status(thm),theory(equality)],[153]),
[iquote('0:Obv:153.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM561+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n006.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 23:14:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.66
% 0.45/0.66 SPASS V 3.9
% 0.45/0.66 SPASS beiseite: Proof found.
% 0.45/0.66 % SZS status Theorem
% 0.45/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.66 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 130 clauses.
% 0.45/0.66 SPASS allocated 100231 KBytes.
% 0.45/0.66 SPASS spent 0:00:00.30 on the problem.
% 0.45/0.66 0:00:00.04 for the input.
% 0.45/0.66 0:00:00.23 for the FLOTTER CNF translation.
% 0.45/0.66 0:00:00.00 for inferences.
% 0.45/0.66 0:00:00.00 for the backtracking.
% 0.45/0.66 0:00:00.01 for the reduction.
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 Here is a proof with depth 1, length 4 :
% 0.45/0.66 % SZS output start Refutation
% See solution above
% 0.45/0.66 Formulae used in the proof : m__2911_02 m__
% 0.45/0.66
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