TSTP Solution File: NUM518+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:27:02 EDT 2022
% Result : Theorem 0.77s 0.96s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of clauses : 106 ( 52 unt; 22 nHn; 106 RR)
% Number of literals : 239 ( 0 equ; 111 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('NUM518+3.p',unknown),
[] ).
cnf(3,axiom,
aNaturalNumber0(xn),
file('NUM518+3.p',unknown),
[] ).
cnf(4,axiom,
aNaturalNumber0(xm),
file('NUM518+3.p',unknown),
[] ).
cnf(5,axiom,
aNaturalNumber0(xp),
file('NUM518+3.p',unknown),
[] ).
cnf(7,axiom,
isPrime0(xp),
file('NUM518+3.p',unknown),
[] ).
cnf(9,axiom,
aNaturalNumber0(skc15),
file('NUM518+3.p',unknown),
[] ).
cnf(12,axiom,
aNaturalNumber0(xr),
file('NUM518+3.p',unknown),
[] ).
cnf(13,axiom,
isPrime0(xr),
file('NUM518+3.p',unknown),
[] ).
cnf(27,axiom,
aNaturalNumber0(skf11(u)),
file('NUM518+3.p',unknown),
[] ).
cnf(28,axiom,
sdtlseqdt0(xn,xp),
file('NUM518+3.p',unknown),
[] ).
cnf(33,axiom,
~ doDivides0(xp,xn),
file('NUM518+3.p',unknown),
[] ).
cnf(34,axiom,
~ doDivides0(xp,xm),
file('NUM518+3.p',unknown),
[] ).
cnf(39,axiom,
~ equal(xp,sz00),
file('NUM518+3.p',unknown),
[] ).
cnf(40,axiom,
~ equal(xp,sz10),
file('NUM518+3.p',unknown),
[] ).
cnf(54,axiom,
aNaturalNumber0(sdtsldt0(xn,xr)),
file('NUM518+3.p',unknown),
[] ).
cnf(55,axiom,
( doDivides0(xp,xm)
| skC1 ),
file('NUM518+3.p',unknown),
[] ).
cnf(56,axiom,
( ~ isPrime0(u)
| skP1(u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(57,axiom,
doDivides0(xp,sdtasdt0(xn,xm)),
file('NUM518+3.p',unknown),
[] ).
cnf(58,axiom,
equal(sdtpldt0(xn,skc15),xp),
file('NUM518+3.p',unknown),
[] ).
cnf(66,axiom,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
file('NUM518+3.p',unknown),
[] ).
cnf(69,axiom,
~ equal(sdtsldt0(xn,xr),xn),
file('NUM518+3.p',unknown),
[] ).
cnf(80,axiom,
equal(sdtasdt0(xr,sdtsldt0(xn,xr)),xn),
file('NUM518+3.p',unknown),
[] ).
cnf(82,axiom,
( ~ skC1
| doDivides0(xp,sdtsldt0(xn,xr)) ),
file('NUM518+3.p',unknown),
[] ).
cnf(85,axiom,
( ~ aNaturalNumber0(u)
| equal(sdtasdt0(u,sz10),u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(86,axiom,
( ~ aNaturalNumber0(u)
| equal(sdtasdt0(sz10,u),u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(87,axiom,
( ~ aNaturalNumber0(u)
| equal(sdtasdt0(u,sz00),sz00) ),
file('NUM518+3.p',unknown),
[] ).
cnf(89,axiom,
( ~ aNaturalNumber0(u)
| ~ equal(sdtasdt0(xp,u),xn) ),
file('NUM518+3.p',unknown),
[] ).
cnf(90,axiom,
( ~ aNaturalNumber0(u)
| ~ equal(sdtasdt0(xp,u),xm) ),
file('NUM518+3.p',unknown),
[] ).
cnf(104,axiom,
( skP1(u)
| equal(u,sz10)
| equal(u,sz00)
| doDivides0(skf11(u),u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(113,axiom,
( ~ aNaturalNumber0(u)
| ~ doDivides0(u,xp)
| equal(u,xp)
| equal(u,sz10) ),
file('NUM518+3.p',unknown),
[] ).
cnf(121,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ doDivides0(v,u)
| sdtlseqdt0(v,u)
| equal(u,sz00) ),
file('NUM518+3.p',unknown),
[] ).
cnf(125,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(u,v)
| equal(v,u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(128,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ aNaturalNumber0(w)
| ~ equal(sdtpldt0(v,w),u)
| sdtlseqdt0(v,u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(135,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ aNaturalNumber0(w)
| ~ doDivides0(v,u)
| ~ doDivides0(w,v)
| doDivides0(w,u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(136,axiom,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(v)
| ~ aNaturalNumber0(w)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(w,v)
| sdtlseqdt0(w,u) ),
file('NUM518+3.p',unknown),
[] ).
cnf(162,plain,
skC1,
inference(mrr,[status(thm)],[55,34]),
[iquote('0:MRR:55.0,34.0')] ).
cnf(163,plain,
doDivides0(xp,sdtsldt0(xn,xr)),
inference(mrr,[status(thm)],[82,162]),
[iquote('0:MRR:82.0,162.0')] ).
cnf(171,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xp,u)
| ~ doDivides0(u,xm) ),
inference(res,[status(thm),theory(equality)],[135,34]),
[iquote('0:Res:135.5,34.0')] ).
cnf(175,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xp,u)
| ~ doDivides0(u,xn) ),
inference(res,[status(thm),theory(equality)],[135,33]),
[iquote('0:Res:135.5,33.0')] ).
cnf(184,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| equal(sdtsldt0(xn,xr),sz00) ),
inference(res,[status(thm),theory(equality)],[163,121]),
[iquote('0:Res:163.0,121.2')] ).
cnf(214,plain,
~ equal(sdtasdt0(xp,sz00),xm),
inference(res,[status(thm),theory(equality)],[1,90]),
[iquote('0:Res:1.0,90.0')] ).
cnf(243,plain,
~ equal(sdtasdt0(xp,sz00),xn),
inference(res,[status(thm),theory(equality)],[1,89]),
[iquote('0:Res:1.0,89.0')] ).
cnf(258,plain,
( ~ aNaturalNumber0(u)
| ~ doDivides0(u,xm)
| ~ doDivides0(xp,u) ),
inference(mrr,[status(thm)],[171,5,4]),
[iquote('0:MRR:171.0,171.2,5.0,4.0')] ).
cnf(259,plain,
( ~ aNaturalNumber0(u)
| ~ doDivides0(u,xn)
| ~ doDivides0(xp,u) ),
inference(mrr,[status(thm)],[175,5,3]),
[iquote('0:MRR:175.0,175.2,5.0,3.0')] ).
cnf(263,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| equal(sdtsldt0(xn,xr),sz00) ),
inference(mrr,[status(thm)],[184,5,54]),
[iquote('0:MRR:184.0,184.1,5.0,54.0')] ).
cnf(273,plain,
equal(sdtsldt0(xn,xr),sz00),
inference(spt,[spt(split,[position(s1)])],[263]),
[iquote('1:Spt:263.1')] ).
cnf(278,plain,
~ equal(xn,sz00),
inference(rew,[status(thm),theory(equality)],[273,69]),
[iquote('1:Rew:273.0,69.0')] ).
cnf(281,plain,
equal(sdtasdt0(xr,sz00),xn),
inference(rew,[status(thm),theory(equality)],[273,80]),
[iquote('1:Rew:273.0,80.0')] ).
cnf(312,plain,
( ~ aNaturalNumber0(xr)
| equal(xn,sz00) ),
inference(spr,[status(thm),theory(equality)],[87,281]),
[iquote('1:SpR:87.1,281.0')] ).
cnf(315,plain,
( ~ aNaturalNumber0(xp)
| ~ equal(xn,sz00) ),
inference(spl,[status(thm),theory(equality)],[87,243]),
[iquote('0:SpL:87.1,243.0')] ).
cnf(316,plain,
( ~ aNaturalNumber0(xp)
| ~ equal(xm,sz00) ),
inference(spl,[status(thm),theory(equality)],[87,214]),
[iquote('0:SpL:87.1,214.0')] ).
cnf(317,plain,
equal(xn,sz00),
inference(ssi,[status(thm)],[312,13,12]),
[iquote('1:SSi:312.0,13.0,12.0')] ).
cnf(318,plain,
$false,
inference(mrr,[status(thm)],[317,278]),
[iquote('1:MRR:317.0,278.0')] ).
cnf(319,plain,
~ equal(sdtsldt0(xn,xr),sz00),
inference(spt,[spt(split,[position(sa)])],[318,273]),
[iquote('1:Spt:318.0,263.1,273.0')] ).
cnf(320,plain,
sdtlseqdt0(xp,sdtsldt0(xn,xr)),
inference(spt,[spt(split,[position(s2)])],[263]),
[iquote('1:Spt:318.0,263.0')] ).
cnf(321,plain,
~ equal(xn,sz00),
inference(ssi,[status(thm)],[315,7,5]),
[iquote('0:SSi:315.0,7.0,5.0')] ).
cnf(322,plain,
~ equal(xm,sz00),
inference(ssi,[status(thm)],[316,7,5]),
[iquote('0:SSi:316.0,7.0,5.0')] ).
cnf(405,plain,
( ~ aNaturalNumber0(skf11(xn))
| ~ doDivides0(xp,skf11(xn))
| skP1(xn)
| equal(xn,sz10)
| equal(xn,sz00) ),
inference(res,[status(thm),theory(equality)],[104,259]),
[iquote('0:Res:104.3,259.1')] ).
cnf(406,plain,
( ~ aNaturalNumber0(skf11(xm))
| ~ doDivides0(xp,skf11(xm))
| skP1(xm)
| equal(xm,sz10)
| equal(xm,sz00) ),
inference(res,[status(thm),theory(equality)],[104,258]),
[iquote('0:Res:104.3,258.1')] ).
cnf(407,plain,
( ~ doDivides0(xp,skf11(xn))
| skP1(xn)
| equal(xn,sz10)
| equal(xn,sz00) ),
inference(ssi,[status(thm)],[405,27,3]),
[iquote('0:SSi:405.0,27.0,3.0')] ).
cnf(408,plain,
( ~ doDivides0(xp,skf11(xn))
| skP1(xn)
| equal(xn,sz10) ),
inference(mrr,[status(thm)],[407,321]),
[iquote('0:MRR:407.3,321.0')] ).
cnf(409,plain,
( ~ doDivides0(xp,skf11(xm))
| skP1(xm)
| equal(xm,sz10)
| equal(xm,sz00) ),
inference(ssi,[status(thm)],[406,27,4]),
[iquote('0:SSi:406.0,27.0,4.0')] ).
cnf(410,plain,
( ~ doDivides0(xp,skf11(xm))
| skP1(xm)
| equal(xm,sz10) ),
inference(mrr,[status(thm)],[409,322]),
[iquote('0:MRR:409.3,322.0')] ).
cnf(417,plain,
equal(xn,sz10),
inference(spt,[spt(split,[position(s2s1)])],[408]),
[iquote('2:Spt:408.2')] ).
cnf(428,plain,
doDivides0(xp,sdtasdt0(sz10,xm)),
inference(rew,[status(thm),theory(equality)],[417,57]),
[iquote('2:Rew:417.0,57.0')] ).
cnf(493,plain,
( ~ aNaturalNumber0(xm)
| doDivides0(xp,xm) ),
inference(spr,[status(thm),theory(equality)],[86,428]),
[iquote('2:SpR:86.1,428.0')] ).
cnf(494,plain,
doDivides0(xp,xm),
inference(ssi,[status(thm)],[493,4]),
[iquote('2:SSi:493.0,4.0')] ).
cnf(495,plain,
$false,
inference(mrr,[status(thm)],[494,34]),
[iquote('2:MRR:494.0,34.0')] ).
cnf(497,plain,
~ equal(xn,sz10),
inference(spt,[spt(split,[position(s2sa)])],[495,417]),
[iquote('2:Spt:495.0,408.2,417.0')] ).
cnf(498,plain,
( ~ doDivides0(xp,skf11(xn))
| skP1(xn) ),
inference(spt,[spt(split,[position(s2s2)])],[408]),
[iquote('2:Spt:495.0,408.0,408.1')] ).
cnf(567,plain,
equal(xm,sz10),
inference(spt,[spt(split,[position(s2s2s1)])],[410]),
[iquote('3:Spt:410.2')] ).
cnf(599,plain,
doDivides0(xp,sdtasdt0(xn,sz10)),
inference(rew,[status(thm),theory(equality)],[567,57]),
[iquote('3:Rew:567.0,57.0')] ).
cnf(620,plain,
( ~ aNaturalNumber0(xn)
| doDivides0(xp,xn) ),
inference(spr,[status(thm),theory(equality)],[85,599]),
[iquote('3:SpR:85.1,599.0')] ).
cnf(621,plain,
doDivides0(xp,xn),
inference(ssi,[status(thm)],[620,3]),
[iquote('3:SSi:620.0,3.0')] ).
cnf(622,plain,
$false,
inference(mrr,[status(thm)],[621,33]),
[iquote('3:MRR:621.0,33.0')] ).
cnf(623,plain,
~ equal(xm,sz10),
inference(spt,[spt(split,[position(s2s2sa)])],[622,567]),
[iquote('3:Spt:622.0,410.2,567.0')] ).
cnf(624,plain,
( ~ doDivides0(xp,skf11(xm))
| skP1(xm) ),
inference(spt,[spt(split,[position(s2s2s2)])],[410]),
[iquote('3:Spt:622.0,410.0,410.1')] ).
cnf(671,plain,
( ~ aNaturalNumber0(skf11(xp))
| skP1(xp)
| equal(xp,sz10)
| equal(xp,sz00)
| equal(skf11(xp),xp)
| equal(skf11(xp),sz10) ),
inference(res,[status(thm),theory(equality)],[104,113]),
[iquote('0:Res:104.3,113.1')] ).
cnf(672,plain,
( skP1(xp)
| equal(xp,sz10)
| equal(xp,sz00)
| equal(skf11(xp),xp)
| equal(skf11(xp),sz10) ),
inference(ssi,[status(thm)],[671,27,7,5]),
[iquote('0:SSi:671.0,27.0,7.0,5.0')] ).
cnf(673,plain,
( skP1(xp)
| equal(skf11(xp),xp)
| equal(skf11(xp),sz10) ),
inference(mrr,[status(thm)],[672,40,39]),
[iquote('0:MRR:672.1,672.2,40.0,39.0')] ).
cnf(676,plain,
( skP1(xp)
| equal(skf11(xp),sz10)
| skP1(xp)
| equal(xp,sz10)
| equal(xp,sz00)
| doDivides0(xp,xp) ),
inference(spr,[status(thm),theory(equality)],[673,104]),
[iquote('0:SpR:673.1,104.3')] ).
cnf(678,plain,
( equal(skf11(xp),sz10)
| skP1(xp)
| equal(xp,sz10)
| equal(xp,sz00)
| doDivides0(xp,xp) ),
inference(obv,[status(thm),theory(equality)],[676]),
[iquote('0:Obv:676.0')] ).
cnf(679,plain,
( equal(skf11(xp),sz10)
| skP1(xp)
| doDivides0(xp,xp) ),
inference(mrr,[status(thm)],[678,40,39]),
[iquote('0:MRR:678.2,678.3,40.0,39.0')] ).
cnf(681,plain,
( skP1(xp)
| doDivides0(xp,xp)
| skP1(xp)
| equal(xp,sz10)
| equal(xp,sz00)
| doDivides0(sz10,xp) ),
inference(spr,[status(thm),theory(equality)],[679,104]),
[iquote('0:SpR:679.0,104.3')] ).
cnf(685,plain,
( doDivides0(xp,xp)
| skP1(xp)
| equal(xp,sz10)
| equal(xp,sz00)
| doDivides0(sz10,xp) ),
inference(obv,[status(thm),theory(equality)],[681]),
[iquote('0:Obv:681.0')] ).
cnf(686,plain,
( doDivides0(xp,xp)
| skP1(xp)
| doDivides0(sz10,xp) ),
inference(mrr,[status(thm)],[685,40,39]),
[iquote('0:MRR:685.2,685.3,40.0,39.0')] ).
cnf(687,plain,
skP1(xp),
inference(spt,[spt(split,[position(s2s2s2s1)])],[686]),
[iquote('4:Spt:686.1')] ).
cnf(1304,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xp)
| equal(sdtsldt0(xn,xr),xp) ),
inference(res,[status(thm),theory(equality)],[320,125]),
[iquote('1:Res:320.0,125.2')] ).
cnf(1316,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| equal(sdtsldt0(xn,xr),xn) ),
inference(res,[status(thm),theory(equality)],[66,125]),
[iquote('0:Res:66.0,125.2')] ).
cnf(1333,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xp)
| equal(sdtsldt0(xn,xr),xp) ),
inference(ssi,[status(thm)],[1304,7,5,687,54]),
[iquote('4:SSi:1304.1,1304.0,7.0,5.0,687.0,54.0')] ).
cnf(1336,plain,
( ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| equal(sdtsldt0(xn,xr),xn) ),
inference(ssi,[status(thm)],[1316,54,3]),
[iquote('0:SSi:1316.1,1316.0,54.0,3.0')] ).
cnf(1337,plain,
~ sdtlseqdt0(xn,sdtsldt0(xn,xr)),
inference(mrr,[status(thm)],[1336,69]),
[iquote('0:MRR:1336.1,69.0')] ).
cnf(1548,plain,
( ~ aNaturalNumber0(u)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(skc15)
| ~ equal(xp,u)
| sdtlseqdt0(xn,u) ),
inference(spl,[status(thm),theory(equality)],[58,128]),
[iquote('0:SpL:58.0,128.3')] ).
cnf(1556,plain,
( ~ aNaturalNumber0(u)
| ~ equal(xp,u)
| sdtlseqdt0(xn,u) ),
inference(ssi,[status(thm)],[1548,9,3]),
[iquote('0:SSi:1548.2,1548.1,9.0,3.0')] ).
cnf(2017,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ equal(sdtsldt0(xn,xr),xp) ),
inference(res,[status(thm),theory(equality)],[1556,1337]),
[iquote('0:Res:1556.2,1337.0')] ).
cnf(2029,plain,
~ equal(sdtsldt0(xn,xr),xp),
inference(ssi,[status(thm)],[2017,54]),
[iquote('0:SSi:2017.0,54.0')] ).
cnf(2031,plain,
~ sdtlseqdt0(sdtsldt0(xn,xr),xp),
inference(mrr,[status(thm)],[1333,2029]),
[iquote('4:MRR:1333.1,2029.0')] ).
cnf(2181,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(u)
| ~ sdtlseqdt0(u,xn)
| sdtlseqdt0(u,xp) ),
inference(res,[status(thm),theory(equality)],[28,136]),
[iquote('0:Res:28.0,136.3')] ).
cnf(2207,plain,
( ~ aNaturalNumber0(u)
| ~ sdtlseqdt0(u,xn)
| sdtlseqdt0(u,xp) ),
inference(ssi,[status(thm)],[2181,3,7,5,687]),
[iquote('4:SSi:2181.1,2181.0,3.0,7.0,5.0,687.0')] ).
cnf(2680,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(res,[status(thm),theory(equality)],[2207,2031]),
[iquote('4:Res:2207.2,2031.0')] ).
cnf(2686,plain,
~ sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(ssi,[status(thm)],[2680,54]),
[iquote('4:SSi:2680.0,54.0')] ).
cnf(2687,plain,
$false,
inference(mrr,[status(thm)],[2686,66]),
[iquote('4:MRR:2686.0,66.0')] ).
cnf(2694,plain,
~ skP1(xp),
inference(spt,[spt(split,[position(s2s2s2sa)])],[2687,687]),
[iquote('4:Spt:2687.0,686.1,687.0')] ).
cnf(2695,plain,
( doDivides0(xp,xp)
| doDivides0(sz10,xp) ),
inference(spt,[spt(split,[position(s2s2s2s2)])],[686]),
[iquote('4:Spt:2687.0,686.0,686.2')] ).
cnf(2807,plain,
~ isPrime0(xp),
inference(res,[status(thm),theory(equality)],[56,2694]),
[iquote('4:Res:56.1,2694.0')] ).
cnf(2808,plain,
$false,
inference(ssi,[status(thm)],[2807,7,5]),
[iquote('4:SSi:2807.0,7.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n026.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 02:27:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.77/0.96
% 0.77/0.96 SPASS V 3.9
% 0.77/0.96 SPASS beiseite: Proof found.
% 0.77/0.96 % SZS status Theorem
% 0.77/0.96 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.96 SPASS derived 1655 clauses, backtracked 319 clauses, performed 14 splits and kept 1174 clauses.
% 0.77/0.96 SPASS allocated 100070 KBytes.
% 0.77/0.96 SPASS spent 0:00:00.62 on the problem.
% 0.77/0.96 0:00:00.04 for the input.
% 0.77/0.96 0:00:00.05 for the FLOTTER CNF translation.
% 0.77/0.96 0:00:00.03 for inferences.
% 0.77/0.96 0:00:00.01 for the backtracking.
% 0.77/0.96 0:00:00.45 for the reduction.
% 0.77/0.96
% 0.77/0.96
% 0.77/0.96 Here is a proof with depth 4, length 106 :
% 0.77/0.96 % SZS output start Refutation
% See solution above
% 0.77/0.96 Formulae used in the proof : mSortsC m__1837 m__1860 m__2287 m__2342 m__1799 m__2529 m__ m__2645 m__2504 m_MulUnit m_MulZero mDivLE mLEAsym mDefLE mDivTrans mLETran
% 0.77/0.98
%------------------------------------------------------------------------------