%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM632+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:28:21 EDT 2022
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(65,axiom,
equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd)),
file('NUM632+1.p',unknown),
[] ).
cnf(67,axiom,
~ equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)),
file('NUM632+1.p',unknown),
[] ).
cnf(73,axiom,
equal(sdtlpdtrp0(xd,xn),sdtlpdtrp0(xc,xQ)),
file('NUM632+1.p',unknown),
[] ).
cnf(217,plain,
equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)),
inference(rew,[status(thm),theory(equality)],[65,73]),
[iquote('0:Rew:65.0,73.0')] ).
cnf(218,plain,
~ equal(szDzizrdt0(xd),szDzizrdt0(xd)),
inference(rew,[status(thm),theory(equality)],[217,67]),
[iquote('0:Rew:217.0,67.0')] ).
cnf(219,plain,
$false,
inference(obv,[status(thm),theory(equality)],[218]),
[iquote('0:Obv:218.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM632+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 17:03:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.74
% 0.56/0.74 SPASS V 3.9
% 0.56/0.74 SPASS beiseite: Proof found.
% 0.56/0.74 % SZS status Theorem
% 0.56/0.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.74 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 71 clauses.
% 0.56/0.74 SPASS allocated 101156 KBytes.
% 0.56/0.74 SPASS spent 0:00:00.39 on the problem.
% 0.56/0.74 0:00:00.04 for the input.
% 0.56/0.74 0:00:00.32 for the FLOTTER CNF translation.
% 0.56/0.74 0:00:00.00 for inferences.
% 0.56/0.74 0:00:00.00 for the backtracking.
% 0.56/0.74 0:00:00.00 for the reduction.
% 0.56/0.74
% 0.56/0.74
% 0.56/0.74 Here is a proof with depth 0, length 6 :
% 0.56/0.74 % SZS output start Refutation
% See solution above
% 0.56/0.74 Formulae used in the proof : m__5321 m__ m__5568
% 0.56/0.74
%------------------------------------------------------------------------------