%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM482+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 14:26:40 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 5 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
isPrime0(xk),
file('NUM482+3.p',unknown),
[] ).
cnf(3,axiom,
aNaturalNumber0(sz10),
file('NUM482+3.p',unknown),
[] ).
cnf(4,axiom,
aNaturalNumber0(xk),
file('NUM482+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ aNaturalNumber0(u)
| equal(sdtasdt0(u,sz10),u) ),
file('NUM482+3.p',unknown),
[] ).
cnf(23,axiom,
( ~ skP0(u)
| ~ aNaturalNumber0(u)
| ~ isPrime0(u) ),
file('NUM482+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ aNaturalNumber0(u)
| ~ equal(sdtasdt0(v,u),xk)
| skP0(v) ),
file('NUM482+3.p',unknown),
[] ).
cnf(375,plain,
( ~ equal(sdtasdt0(u,sz10),xk)
| skP0(u) ),
inference(res,[status(thm),theory(equality)],[3,28]),
[iquote('0:Res:3.0,28.0')] ).
cnf(422,plain,
( ~ aNaturalNumber0(u)
| ~ equal(u,xk)
| skP0(u) ),
inference(spl,[status(thm),theory(equality)],[19,375]),
[iquote('0:SpL:19.1,375.0')] ).
cnf(427,plain,
( ~ aNaturalNumber0(xk)
| ~ equal(xk,xk) ),
inference(ems,[status(thm)],[23,422,4,1]),
[iquote('0:EmS:23.0,23.1,23.2,422.2,4.0,1.0')] ).
cnf(430,plain,
~ aNaturalNumber0(xk),
inference(obv,[status(thm),theory(equality)],[427]),
[iquote('0:Obv:427.1')] ).
cnf(431,plain,
$false,
inference(ssi,[status(thm)],[430,1,4]),
[iquote('0:SSi:430.0,1.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM482+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.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 : Tue Jul 5 04:55:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 119 clauses, backtracked 0 clauses, performed 0 splits and kept 163 clauses.
% 0.19/0.48 SPASS allocated 97914 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.00 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.01 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 3, length 11 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : m__ m__1716 mSortsC_01 m_MulUnit
% 0.19/0.48
%------------------------------------------------------------------------------