TSTP Solution File: NUM594+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM594+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 14:27:53 EDT 2022
% Result : Theorem 0.90s 1.17s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 8 ( 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(29,axiom,
equal(szDzozmdt0(xd),szNzAzT0),
file('NUM594+3.p',unknown),
[] ).
cnf(30,axiom,
aElementOf0(skc94,szDzozmdt0(xd)),
file('NUM594+3.p',unknown),
[] ).
cnf(38,axiom,
equal(sdtlpdtrp0(xd,skc94),xx),
file('NUM594+3.p',unknown),
[] ).
cnf(77,axiom,
( ~ aElementOf0(u,szNzAzT0)
| ~ equal(sdtlpdtrp0(xd,u),xx) ),
file('NUM594+3.p',unknown),
[] ).
cnf(347,plain,
aElementOf0(skc94,szNzAzT0),
inference(rew,[status(thm),theory(equality)],[29,30]),
[iquote('0:Rew:29.0,30.0')] ).
cnf(433,plain,
~ aElementOf0(skc94,szNzAzT0),
inference(res,[status(thm),theory(equality)],[38,77]),
[iquote('0:Res:38.0,77.1')] ).
cnf(434,plain,
$false,
inference(mrr,[status(thm)],[433,347]),
[iquote('0:MRR:433.0,347.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM594+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 14:32:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.90/1.17
% 0.90/1.17 SPASS V 3.9
% 0.90/1.17 SPASS beiseite: Proof found.
% 0.90/1.17 % SZS status Theorem
% 0.90/1.17 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.17 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 320 clauses.
% 0.90/1.17 SPASS allocated 104769 KBytes.
% 0.90/1.17 SPASS spent 0:00:00.81 on the problem.
% 0.90/1.17 0:00:00.04 for the input.
% 0.90/1.17 0:00:00.71 for the FLOTTER CNF translation.
% 0.90/1.17 0:00:00.00 for inferences.
% 0.90/1.17 0:00:00.00 for the backtracking.
% 0.90/1.17 0:00:00.03 for the reduction.
% 0.90/1.17
% 0.90/1.17
% 0.90/1.17 Here is a proof with depth 1, length 7 :
% 0.90/1.17 % SZS output start Refutation
% See solution above
% 0.90/1.17 Formulae used in the proof : m__4730 m__4781 m__
% 0.90/1.17
%------------------------------------------------------------------------------