TSTP Solution File: NUM505+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 14:26:54 EDT 2022
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
aNaturalNumber0(xp),
file('NUM505+3.p',unknown),
[] ).
cnf(10,axiom,
aNaturalNumber0(xk),
file('NUM505+3.p',unknown),
[] ).
cnf(23,axiom,
~ sdtlseqdt0(xp,xk),
file('NUM505+3.p',unknown),
[] ).
cnf(48,axiom,
( ~ sdtlseqdt0(xk,xp)
| equal(xk,xp) ),
file('NUM505+3.p',unknown),
[] ).
cnf(69,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| sdtlseqdt0(v,u)
| sdtlseqdt0(u,v) ),
file('NUM505+3.p',unknown),
[] ).
cnf(133,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(xk,xp) ),
inference(res,[status(thm),theory(equality)],[69,23]),
[iquote('0:Res:69.2,23.0')] ).
cnf(179,plain,
sdtlseqdt0(xk,xp),
inference(mrr,[status(thm)],[133,10,5]),
[iquote('0:MRR:133.0,133.1,10.0,5.0')] ).
cnf(180,plain,
equal(xk,xp),
inference(mrr,[status(thm)],[48,179]),
[iquote('0:MRR:48.0,179.0')] ).
cnf(185,plain,
~ sdtlseqdt0(xp,xp),
inference(rew,[status(thm),theory(equality)],[180,23]),
[iquote('0:Rew:180.0,23.0')] ).
cnf(204,plain,
sdtlseqdt0(xp,xp),
inference(rew,[status(thm),theory(equality)],[180,179]),
[iquote('0:Rew:180.0,179.0')] ).
cnf(205,plain,
$false,
inference(mrr,[status(thm)],[185,204]),
[iquote('0:MRR:185.0,204.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jul 7 13:47:37 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.46
% 0.17/0.46 SPASS V 3.9
% 0.17/0.46 SPASS beiseite: Proof found.
% 0.17/0.46 % SZS status Theorem
% 0.17/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 SPASS derived 57 clauses, backtracked 0 clauses, performed 0 splits and kept 141 clauses.
% 0.17/0.46 SPASS allocated 97981 KBytes.
% 0.17/0.46 SPASS spent 0:00:00.13 on the problem.
% 0.17/0.46 0:00:00.04 for the input.
% 0.17/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.17/0.46 0:00:00.00 for inferences.
% 0.17/0.46 0:00:00.00 for the backtracking.
% 0.17/0.46 0:00:00.02 for the reduction.
% 0.17/0.46
% 0.17/0.46
% 0.17/0.46 Here is a proof with depth 1, length 11 :
% 0.17/0.46 % SZS output start Refutation
% See solution above
% 0.17/0.46 Formulae used in the proof : m__1837 m__2306 m__ mLETotal
% 0.17/0.46
%------------------------------------------------------------------------------