TSTP Solution File: RNG071+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG071+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 20:41:23 EDT 2022
% Result : Theorem 0.47s 0.67s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of clauses : 71 ( 30 unt; 5 nHn; 71 RR)
% Number of literals : 173 ( 0 equ; 111 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aScalar0(sz0z00),
file('RNG071+2.p',unknown),
[] ).
cnf(5,axiom,
aVector0(xp),
file('RNG071+2.p',unknown),
[] ).
cnf(6,axiom,
aVector0(xq),
file('RNG071+2.p',unknown),
[] ).
cnf(7,axiom,
aScalar0(xA),
file('RNG071+2.p',unknown),
[] ).
cnf(8,axiom,
aScalar0(xB),
file('RNG071+2.p',unknown),
[] ).
cnf(9,axiom,
aScalar0(xC),
file('RNG071+2.p',unknown),
[] ).
cnf(10,axiom,
aScalar0(xD),
file('RNG071+2.p',unknown),
[] ).
cnf(12,axiom,
aScalar0(xF),
file('RNG071+2.p',unknown),
[] ).
cnf(13,axiom,
aScalar0(xG),
file('RNG071+2.p',unknown),
[] ).
cnf(15,axiom,
aScalar0(xR),
file('RNG071+2.p',unknown),
[] ).
cnf(16,axiom,
aScalar0(xP),
file('RNG071+2.p',unknown),
[] ).
cnf(17,axiom,
aScalar0(xS),
file('RNG071+2.p',unknown),
[] ).
cnf(25,axiom,
equal(sdtasasdt0(xp,xp),xC),
file('RNG071+2.p',unknown),
[] ).
cnf(26,axiom,
equal(sdtasasdt0(xq,xq),xD),
file('RNG071+2.p',unknown),
[] ).
cnf(28,axiom,
equal(sdtasdt0(xA,xA),xF),
file('RNG071+2.p',unknown),
[] ).
cnf(29,axiom,
equal(sdtasdt0(xB,xB),xG),
file('RNG071+2.p',unknown),
[] ).
cnf(31,axiom,
equal(sdtasdt0(xC,xG),xR),
file('RNG071+2.p',unknown),
[] ).
cnf(33,axiom,
equal(sdtasdt0(xF,xD),xS),
file('RNG071+2.p',unknown),
[] ).
cnf(54,axiom,
( ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sdtasdt0(u,u)) ),
file('RNG071+2.p',unknown),
[] ).
cnf(55,axiom,
( ~ aVector0(u)
| sdtlseqdt0(sz0z00,sdtasasdt0(u,u)) ),
file('RNG071+2.p',unknown),
[] ).
cnf(56,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('RNG071+2.p',unknown),
[] ).
cnf(65,axiom,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('RNG071+2.p',unknown),
[] ).
cnf(66,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| sdtlseqdt0(u,v)
| sdtlseqdt0(v,u) ),
file('RNG071+2.p',unknown),
[] ).
cnf(77,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(u,v)
| equal(v,u) ),
file('RNG071+2.p',unknown),
[] ).
cnf(79,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sz0z00,sdtpldt0(v,u)) ),
file('RNG071+2.p',unknown),
[] ).
cnf(80,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sz0z00,sdtasdt0(v,u)) ),
file('RNG071+2.p',unknown),
[] ).
cnf(81,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(w,v)
| sdtlseqdt0(w,u) ),
file('RNG071+2.p',unknown),
[] ).
cnf(90,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(x)
| ~ sdtlseqdt0(x,w)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sdtpldt0(x,v),sdtpldt0(w,u)) ),
file('RNG071+2.p',unknown),
[] ).
cnf(151,plain,
( ~ aVector0(xq)
| sdtlseqdt0(sz0z00,xD) ),
inference(spr,[status(thm),theory(equality)],[26,55]),
[iquote('0:SpR:26.0,55.1')] ).
cnf(152,plain,
( ~ aVector0(xp)
| sdtlseqdt0(sz0z00,xC) ),
inference(spr,[status(thm),theory(equality)],[25,55]),
[iquote('0:SpR:25.0,55.1')] ).
cnf(153,plain,
sdtlseqdt0(sz0z00,xD),
inference(ssi,[status(thm)],[151,6]),
[iquote('0:SSi:151.0,6.0')] ).
cnf(154,plain,
sdtlseqdt0(sz0z00,xC),
inference(ssi,[status(thm)],[152,5]),
[iquote('0:SSi:152.0,5.0')] ).
cnf(155,plain,
( ~ aScalar0(xB)
| sdtlseqdt0(sz0z00,xG) ),
inference(spr,[status(thm),theory(equality)],[29,54]),
[iquote('0:SpR:29.0,54.1')] ).
cnf(156,plain,
( ~ aScalar0(xA)
| sdtlseqdt0(sz0z00,xF) ),
inference(spr,[status(thm),theory(equality)],[28,54]),
[iquote('0:SpR:28.0,54.1')] ).
cnf(159,plain,
sdtlseqdt0(sz0z00,xG),
inference(ssi,[status(thm)],[155,8]),
[iquote('0:SSi:155.0,8.0')] ).
cnf(160,plain,
sdtlseqdt0(sz0z00,xF),
inference(ssi,[status(thm)],[156,7]),
[iquote('0:SSi:156.0,7.0')] ).
cnf(573,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| sdtlseqdt0(sz0z00,xS) ),
inference(spr,[status(thm),theory(equality)],[33,80]),
[iquote('0:SpR:33.0,80.4')] ).
cnf(575,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(spr,[status(thm),theory(equality)],[31,80]),
[iquote('0:SpR:31.0,80.4')] ).
cnf(589,plain,
( ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| sdtlseqdt0(sz0z00,xS) ),
inference(ssi,[status(thm)],[573,12,10]),
[iquote('0:SSi:573.1,573.0,12.0,10.0')] ).
cnf(590,plain,
sdtlseqdt0(sz0z00,xS),
inference(mrr,[status(thm)],[589,160,153]),
[iquote('0:MRR:589.0,589.1,160.0,153.0')] ).
cnf(593,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(ssi,[status(thm)],[575,9,13]),
[iquote('0:SSi:575.1,575.0,9.0,13.0')] ).
cnf(594,plain,
sdtlseqdt0(sz0z00,xR),
inference(mrr,[status(thm)],[593,154,159]),
[iquote('0:MRR:593.0,593.1,154.0,159.0')] ).
cnf(621,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(res,[status(thm),theory(equality)],[79,65]),
[iquote('0:Res:79.4,65.0')] ).
cnf(623,plain,
( ~ aScalar0(xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(obv,[status(thm),theory(equality)],[621]),
[iquote('0:Obv:621.2')] ).
cnf(624,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ssi,[status(thm)],[623,16]),
[iquote('0:SSi:623.0,16.0')] ).
cnf(687,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(res,[status(thm),theory(equality)],[79,624]),
[iquote('0:Res:79.4,624.1')] ).
cnf(688,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(ssi,[status(thm)],[687,15,17]),
[iquote('0:SSi:687.1,687.0,15.0,17.0')] ).
cnf(689,plain,
~ sdtlseqdt0(sz0z00,xP),
inference(mrr,[status(thm)],[688,594,590]),
[iquote('0:MRR:688.0,688.1,594.0,590.0')] ).
cnf(864,plain,
( ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xS) ),
inference(res,[status(thm),theory(equality)],[590,81]),
[iquote('0:Res:590.0,81.3')] ).
cnf(865,plain,
( ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xR) ),
inference(res,[status(thm),theory(equality)],[594,81]),
[iquote('0:Res:594.0,81.3')] ).
cnf(872,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xS) ),
inference(ssi,[status(thm)],[864,2,17]),
[iquote('0:SSi:864.1,864.0,2.0,17.0')] ).
cnf(873,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xR) ),
inference(ssi,[status(thm)],[865,2,15]),
[iquote('0:SSi:865.1,865.0,2.0,15.0')] ).
cnf(1415,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,xS) ),
inference(res,[status(thm),theory(equality)],[90,56]),
[iquote('0:Res:90.6,56.0')] ).
cnf(1418,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,xS) ),
inference(obv,[status(thm),theory(equality)],[1415]),
[iquote('0:Obv:1415.1')] ).
cnf(1419,plain,
( ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,xS) ),
inference(ssi,[status(thm)],[1418,16,15,17]),
[iquote('0:SSi:1418.2,1418.1,1418.0,16.0,15.0,17.0')] ).
cnf(1463,plain,
( ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,xR) ),
inference(res,[status(thm),theory(equality)],[872,1419]),
[iquote('0:Res:872.2,1419.1')] ).
cnf(1464,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,xR) ),
inference(ssi,[status(thm)],[1463,16]),
[iquote('0:SSi:1463.0,16.0')] ).
cnf(1597,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(xR,xP) ),
inference(res,[status(thm),theory(equality)],[66,1464]),
[iquote('0:Res:66.2,1464.1')] ).
cnf(1599,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(xR,xP) ),
inference(ssi,[status(thm)],[1597,15,16]),
[iquote('0:SSi:1597.1,1597.0,15.0,16.0')] ).
cnf(1600,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xR,xP) ),
inference(res,[status(thm),theory(equality)],[66,1599]),
[iquote('0:Res:66.2,1599.0')] ).
cnf(1602,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xR,xP) ),
inference(ssi,[status(thm)],[1600,2,16]),
[iquote('0:SSi:1600.1,1600.0,2.0,16.0')] ).
cnf(1603,plain,
sdtlseqdt0(xR,xP),
inference(mrr,[status(thm)],[1602,689]),
[iquote('0:MRR:1602.0,689.0')] ).
cnf(1605,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(xP,xR)
| equal(xP,xR) ),
inference(res,[status(thm),theory(equality)],[1603,77]),
[iquote('0:Res:1603.0,77.2')] ).
cnf(1606,plain,
( ~ sdtlseqdt0(xP,xR)
| equal(xP,xR) ),
inference(ssi,[status(thm)],[1605,15,16]),
[iquote('0:SSi:1605.1,1605.0,15.0,16.0')] ).
cnf(1720,plain,
( ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,sz0z00)
| equal(xP,xR) ),
inference(res,[status(thm),theory(equality)],[873,1606]),
[iquote('0:Res:873.2,1606.0')] ).
cnf(1721,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| equal(xP,xR) ),
inference(ssi,[status(thm)],[1720,16]),
[iquote('0:SSi:1720.0,16.0')] ).
cnf(1727,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,xP)
| equal(xP,xR) ),
inference(res,[status(thm),theory(equality)],[66,1721]),
[iquote('0:Res:66.2,1721.0')] ).
cnf(1729,plain,
( sdtlseqdt0(sz0z00,xP)
| equal(xP,xR) ),
inference(ssi,[status(thm)],[1727,2,16]),
[iquote('0:SSi:1727.1,1727.0,2.0,16.0')] ).
cnf(1730,plain,
equal(xP,xR),
inference(mrr,[status(thm)],[1729,689]),
[iquote('0:MRR:1729.0,689.0')] ).
cnf(1740,plain,
~ sdtlseqdt0(sz0z00,xR),
inference(rew,[status(thm),theory(equality)],[1730,689]),
[iquote('0:Rew:1730.0,689.0')] ).
cnf(1766,plain,
$false,
inference(mrr,[status(thm)],[1740,594]),
[iquote('0:MRR:1740.0,594.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG071+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 10:30:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.67
% 0.47/0.67 SPASS V 3.9
% 0.47/0.67 SPASS beiseite: Proof found.
% 0.47/0.67 % SZS status Theorem
% 0.47/0.67 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.67 SPASS derived 914 clauses, backtracked 0 clauses, performed 0 splits and kept 507 clauses.
% 0.47/0.67 SPASS allocated 99540 KBytes.
% 0.47/0.67 SPASS spent 0:00:00.31 on the problem.
% 0.47/0.67 0:00:00.04 for the input.
% 0.47/0.67 0:00:00.04 for the FLOTTER CNF translation.
% 0.47/0.67 0:00:00.01 for inferences.
% 0.47/0.67 0:00:00.00 for the backtracking.
% 0.47/0.67 0:00:00.20 for the reduction.
% 0.47/0.67
% 0.47/0.67
% 0.47/0.67 Here is a proof with depth 8, length 71 :
% 0.47/0.67 % SZS output start Refutation
% See solution above
% 0.47/0.67 Formulae used in the proof : mSZeroSc m__1709 m__1726 m__1746 m__1766 m__1783 m__1800 m__1837 m__1854 m__1892 m__1911 m__1930 mSqPos mScSqPos m__2590 m__ mLETot mLEASm mPosMon mLETrn mLEMon
% 0.47/0.67
%------------------------------------------------------------------------------