%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM432+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 14:26:08 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
aInteger0(xn),
file('NUM432+3.p',unknown),
[] ).
cnf(10,axiom,
aInteger0(xm),
file('NUM432+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| aInteger0(sdtpldt0(v,u)) ),
file('NUM432+3.p',unknown),
[] ).
cnf(37,axiom,
equal(sdtasdt0(xq,sdtpldt0(xn,xm)),sdtpldt0(xa,smndt0(xc))),
file('NUM432+3.p',unknown),
[] ).
cnf(39,axiom,
( ~ aInteger0(u)
| ~ equal(sdtasdt0(xq,u),sdtpldt0(xa,smndt0(xc))) ),
file('NUM432+3.p',unknown),
[] ).
cnf(68,plain,
~ aInteger0(sdtpldt0(xn,xm)),
inference(res,[status(thm),theory(equality)],[37,39]),
[iquote('0:Res:37.0,39.1')] ).
cnf(127,plain,
( ~ aInteger0(xn)
| ~ aInteger0(xm) ),
inference(sor,[status(thm)],[68,33]),
[iquote('0:SoR:68.0,33.2')] ).
cnf(132,plain,
$false,
inference(ssi,[status(thm)],[127,10,9]),
[iquote('0:SSi:127.1,127.0,10.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM432+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.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 : Wed Jul 6 03:36:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45
% 0.20/0.45 SPASS V 3.9
% 0.20/0.45 SPASS beiseite: Proof found.
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 SPASS derived 67 clauses, backtracked 0 clauses, performed 0 splits and kept 69 clauses.
% 0.20/0.45 SPASS allocated 97760 KBytes.
% 0.20/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.45 0:00:00.04 for the input.
% 0.20/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45 0:00:00.00 for inferences.
% 0.20/0.45 0:00:00.00 for the backtracking.
% 0.20/0.45 0:00:00.00 for the reduction.
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Here is a proof with depth 2, length 8 :
% 0.20/0.45 % SZS output start Refutation
% See solution above
% 0.20/0.45 Formulae used in the proof : m__876 m__899 mIntPlus m__924 m__
% 0.20/0.45
%------------------------------------------------------------------------------