%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG061+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 20:41:21 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 6 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(17,axiom,
aScalar0(xS),
file('RNG061+2.p',unknown),
[] ).
cnf(18,axiom,
aScalar0(xN),
file('RNG061+2.p',unknown),
[] ).
cnf(37,axiom,
( ~ aScalar0(u)
| aScalar0(smndt0(u)) ),
file('RNG061+2.p',unknown),
[] ).
cnf(61,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| aScalar0(sdtasdt0(v,u)) ),
file('RNG061+2.p',unknown),
[] ).
cnf(67,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(v,u),sdtpldt0(u,v)) ),
file('RNG061+2.p',unknown),
[] ).
cnf(86,axiom,
equal(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
file('RNG061+2.p',unknown),
[] ).
cnf(88,axiom,
~ equal(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))),
file('RNG061+2.p',unknown),
[] ).
cnf(98,plain,
~ equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))),
inference(rew,[status(thm),theory(equality)],[86,88]),
[iquote('0:Rew:86.0,88.0')] ).
cnf(1651,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN))
| ~ equal(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
inference(spl,[status(thm),theory(equality)],[67,98]),
[iquote('0:SpL:67.2,98.0')] ).
cnf(1662,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN)) ),
inference(obv,[status(thm),theory(equality)],[1651]),
[iquote('0:Obv:1651.2')] ).
cnf(1663,plain,
$false,
inference(ssi,[status(thm)],[1662,37,18,61,17]),
[iquote('0:SSi:1662.1,1662.0,37.0,18.0,61.2,17.0,17.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG061+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.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 : Mon May 30 16:38:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.64
% 0.46/0.64 SPASS V 3.9
% 0.46/0.64 SPASS beiseite: Proof found.
% 0.46/0.64 % SZS status Theorem
% 0.46/0.64 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64 SPASS derived 886 clauses, backtracked 0 clauses, performed 0 splits and kept 438 clauses.
% 0.46/0.64 SPASS allocated 99372 KBytes.
% 0.46/0.64 SPASS spent 0:00:00.27 on the problem.
% 0.46/0.64 0:00:00.04 for the input.
% 0.46/0.64 0:00:00.04 for the FLOTTER CNF translation.
% 0.46/0.64 0:00:00.01 for inferences.
% 0.46/0.64 0:00:00.00 for the backtracking.
% 0.46/0.64 0:00:00.16 for the reduction.
% 0.46/0.64
% 0.46/0.64
% 0.46/0.64 Here is a proof with depth 1, length 11 :
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.64 Formulae used in the proof : m__1930 m__1949 mNegSc mMulSc mArith m__2180 m__
% 0.46/0.64
%------------------------------------------------------------------------------