TSTP Solution File: NUM460+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 14:26:25 EDT 2022
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 0 nHn; 19 RR)
% Number of literals : 43 ( 0 equ; 25 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(skc3),
file('NUM460+2.p',unknown),
[] ).
cnf(2,axiom,
aNaturalNumber0(skc2),
file('NUM460+2.p',unknown),
[] ).
cnf(5,axiom,
aNaturalNumber0(xm),
file('NUM460+2.p',unknown),
[] ).
cnf(10,axiom,
~ sdtlseqdt0(xm,xl),
file('NUM460+2.p',unknown),
[] ).
cnf(13,axiom,
equal(sdtpldt0(xm,skc2),xn),
file('NUM460+2.p',unknown),
[] ).
cnf(14,axiom,
equal(sdtpldt0(xn,skc3),xl),
file('NUM460+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| aNaturalNumber0(sdtpldt0(v,u)) ),
file('NUM460+2.p',unknown),
[] ).
cnf(32,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ aNaturalNumber0(w)
| ~ equal(sdtpldt0(v,w),u)
| sdtlseqdt0(v,u) ),
file('NUM460+2.p',unknown),
[] ).
cnf(37,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ aNaturalNumber0(w)
| equal(sdtpldt0(sdtpldt0(w,v),u),sdtpldt0(w,sdtpldt0(v,u))) ),
file('NUM460+2.p',unknown),
[] ).
cnf(64,plain,
( ~ aNaturalNumber0(u)
| aNaturalNumber0(sdtpldt0(skc2,u)) ),
inference(res,[status(thm),theory(equality)],[2,23]),
[iquote('0:Res:2.0,23.0')] ).
cnf(617,plain,
( ~ aNaturalNumber0(sdtpldt0(u,v))
| ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| sdtlseqdt0(u,sdtpldt0(u,v)) ),
inference(eqr,[status(thm),theory(equality)],[32]),
[iquote('0:EqR:32.3')] ).
cnf(631,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| sdtlseqdt0(u,sdtpldt0(u,v)) ),
inference(ssi,[status(thm)],[617,23]),
[iquote('0:SSi:617.0,23.2')] ).
cnf(717,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(skc2)
| ~ aNaturalNumber0(xm)
| equal(sdtpldt0(xm,sdtpldt0(skc2,u)),sdtpldt0(xn,u)) ),
inference(spr,[status(thm),theory(equality)],[13,37]),
[iquote('0:SpR:13.0,37.3')] ).
cnf(732,plain,
( ~ aNaturalNumber0(u)
| equal(sdtpldt0(xm,sdtpldt0(skc2,u)),sdtpldt0(xn,u)) ),
inference(ssi,[status(thm)],[717,5,2]),
[iquote('0:SSi:717.2,717.1,5.0,2.0')] ).
cnf(1338,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(skc2,u))
| sdtlseqdt0(xm,sdtpldt0(xn,u)) ),
inference(spr,[status(thm),theory(equality)],[732,631]),
[iquote('0:SpR:732.1,631.2')] ).
cnf(1367,plain,
( ~ aNaturalNumber0(u)
| sdtlseqdt0(xm,sdtpldt0(xn,u)) ),
inference(ssi,[status(thm)],[1338,64,5]),
[iquote('0:SSi:1338.2,1338.1,64.0,5.1')] ).
cnf(1499,plain,
( ~ aNaturalNumber0(skc3)
| sdtlseqdt0(xm,xl) ),
inference(spr,[status(thm),theory(equality)],[14,1367]),
[iquote('0:SpR:14.0,1367.1')] ).
cnf(1505,plain,
sdtlseqdt0(xm,xl),
inference(ssi,[status(thm)],[1499,1]),
[iquote('0:SSi:1499.0,1.0')] ).
cnf(1506,plain,
$false,
inference(mrr,[status(thm)],[1505,10]),
[iquote('0:MRR:1505.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM460+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n025.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 : Thu Jul 7 10:38:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.65
% 0.47/0.65 SPASS V 3.9
% 0.47/0.65 SPASS beiseite: Proof found.
% 0.47/0.65 % SZS status Theorem
% 0.47/0.65 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65 SPASS derived 879 clauses, backtracked 65 clauses, performed 3 splits and kept 422 clauses.
% 0.47/0.65 SPASS allocated 99053 KBytes.
% 0.47/0.65 SPASS spent 0:00:00.27 on the problem.
% 0.47/0.65 0:00:00.03 for the input.
% 0.47/0.65 0:00:00.03 for the FLOTTER CNF translation.
% 0.47/0.65 0:00:00.01 for inferences.
% 0.47/0.65 0:00:00.00 for the backtracking.
% 0.47/0.65 0:00:00.16 for the reduction.
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 Here is a proof with depth 3, length 19 :
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.65 Formulae used in the proof : m__ m__773 mSortsB mDefLE mAddAsso
% 0.47/0.65
%------------------------------------------------------------------------------