TSTP Solution File: NUM472+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 14:26:32 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 5 unt; 0 nHn; 11 RR)
% Number of literals : 26 ( 0 equ; 21 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
aNaturalNumber0(xm),
file('NUM472+1.p',unknown),
[] ).
cnf(5,axiom,
aNaturalNumber0(xn),
file('NUM472+1.p',unknown),
[] ).
cnf(13,axiom,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('NUM472+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| aNaturalNumber0(sdtpldt0(v,u)) ),
file('NUM472+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ aNaturalNumber0(w)
| ~ equal(sdtpldt0(v,w),u)
| sdtlseqdt0(v,u) ),
file('NUM472+1.p',unknown),
[] ).
cnf(71,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ equal(sdtpldt0(xm,u),sdtpldt0(xm,xn)) ),
inference(res,[status(thm),theory(equality)],[38,13]),
[iquote('0:Res:38.4,13.0')] ).
cnf(74,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ equal(sdtpldt0(xm,u),sdtpldt0(xm,xn)) ),
inference(mrr,[status(thm)],[71,4]),
[iquote('0:MRR:71.1,4.0')] ).
cnf(186,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ equal(sdtpldt0(xm,u),sdtpldt0(xm,xn)) ),
inference(sor,[status(thm)],[74,22]),
[iquote('0:SoR:74.1,22.2')] ).
cnf(187,plain,
( ~ aNaturalNumber0(u)
| ~ equal(sdtpldt0(xm,u),sdtpldt0(xm,xn)) ),
inference(ssi,[status(thm)],[186,5,4]),
[iquote('0:SSi:186.2,186.1,5.0,4.0')] ).
cnf(188,plain,
~ aNaturalNumber0(xn),
inference(eqr,[status(thm),theory(equality)],[187]),
[iquote('0:EqR:187.1')] ).
cnf(191,plain,
$false,
inference(ssi,[status(thm)],[188,5]),
[iquote('0:SSi:188.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 09:56:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 85 clauses, backtracked 0 clauses, performed 0 splits and kept 71 clauses.
% 0.19/0.46 SPASS allocated 97835 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.01 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 3, length 11 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : m__1324 m__ mSortsB mDefLE
% 0.19/0.46
%------------------------------------------------------------------------------