TSTP Solution File: RNG071+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG071+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 0.75s 0.92s
% Output : Refutation 0.75s
% 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+1.p',unknown),
[] ).
cnf(5,axiom,
aVector0(xp),
file('RNG071+1.p',unknown),
[] ).
cnf(6,axiom,
aVector0(xq),
file('RNG071+1.p',unknown),
[] ).
cnf(7,axiom,
aScalar0(xA),
file('RNG071+1.p',unknown),
[] ).
cnf(8,axiom,
aScalar0(xB),
file('RNG071+1.p',unknown),
[] ).
cnf(9,axiom,
aScalar0(xC),
file('RNG071+1.p',unknown),
[] ).
cnf(10,axiom,
aScalar0(xD),
file('RNG071+1.p',unknown),
[] ).
cnf(12,axiom,
aScalar0(xF),
file('RNG071+1.p',unknown),
[] ).
cnf(13,axiom,
aScalar0(xG),
file('RNG071+1.p',unknown),
[] ).
cnf(15,axiom,
aScalar0(xR),
file('RNG071+1.p',unknown),
[] ).
cnf(16,axiom,
aScalar0(xP),
file('RNG071+1.p',unknown),
[] ).
cnf(17,axiom,
aScalar0(xS),
file('RNG071+1.p',unknown),
[] ).
cnf(25,axiom,
equal(sdtasasdt0(xp,xp),xC),
file('RNG071+1.p',unknown),
[] ).
cnf(26,axiom,
equal(sdtasasdt0(xq,xq),xD),
file('RNG071+1.p',unknown),
[] ).
cnf(28,axiom,
equal(sdtasdt0(xA,xA),xF),
file('RNG071+1.p',unknown),
[] ).
cnf(29,axiom,
equal(sdtasdt0(xB,xB),xG),
file('RNG071+1.p',unknown),
[] ).
cnf(31,axiom,
equal(sdtasdt0(xC,xG),xR),
file('RNG071+1.p',unknown),
[] ).
cnf(33,axiom,
equal(sdtasdt0(xF,xD),xS),
file('RNG071+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sdtasdt0(u,u)) ),
file('RNG071+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ aVector0(u)
| sdtlseqdt0(sz0z00,sdtasasdt0(u,u)) ),
file('RNG071+1.p',unknown),
[] ).
cnf(54,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('RNG071+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('RNG071+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| sdtlseqdt0(u,v)
| sdtlseqdt0(v,u) ),
file('RNG071+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(u,v)
| equal(v,u) ),
file('RNG071+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sz0z00,sdtpldt0(v,u)) ),
file('RNG071+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sz0z00,sdtasdt0(v,u)) ),
file('RNG071+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(w,v)
| sdtlseqdt0(w,u) ),
file('RNG071+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(x)
| ~ sdtlseqdt0(x,w)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sdtpldt0(x,v),sdtpldt0(w,u)) ),
file('RNG071+1.p',unknown),
[] ).
cnf(136,plain,
( ~ aVector0(xq)
| sdtlseqdt0(sz0z00,xD) ),
inference(spr,[status(thm),theory(equality)],[26,53]),
[iquote('0:SpR:26.0,53.1')] ).
cnf(137,plain,
( ~ aVector0(xp)
| sdtlseqdt0(sz0z00,xC) ),
inference(spr,[status(thm),theory(equality)],[25,53]),
[iquote('0:SpR:25.0,53.1')] ).
cnf(138,plain,
sdtlseqdt0(sz0z00,xD),
inference(ssi,[status(thm)],[136,6]),
[iquote('0:SSi:136.0,6.0')] ).
cnf(139,plain,
sdtlseqdt0(sz0z00,xC),
inference(ssi,[status(thm)],[137,5]),
[iquote('0:SSi:137.0,5.0')] ).
cnf(140,plain,
( ~ aScalar0(xB)
| sdtlseqdt0(sz0z00,xG) ),
inference(spr,[status(thm),theory(equality)],[29,52]),
[iquote('0:SpR:29.0,52.1')] ).
cnf(141,plain,
( ~ aScalar0(xA)
| sdtlseqdt0(sz0z00,xF) ),
inference(spr,[status(thm),theory(equality)],[28,52]),
[iquote('0:SpR:28.0,52.1')] ).
cnf(144,plain,
sdtlseqdt0(sz0z00,xG),
inference(ssi,[status(thm)],[140,8]),
[iquote('0:SSi:140.0,8.0')] ).
cnf(145,plain,
sdtlseqdt0(sz0z00,xF),
inference(ssi,[status(thm)],[141,7]),
[iquote('0:SSi:141.0,7.0')] ).
cnf(696,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| sdtlseqdt0(sz0z00,xS) ),
inference(spr,[status(thm),theory(equality)],[33,76]),
[iquote('0:SpR:33.0,76.4')] ).
cnf(698,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(spr,[status(thm),theory(equality)],[31,76]),
[iquote('0:SpR:31.0,76.4')] ).
cnf(712,plain,
( ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| sdtlseqdt0(sz0z00,xS) ),
inference(ssi,[status(thm)],[696,12,10]),
[iquote('0:SSi:696.1,696.0,12.0,10.0')] ).
cnf(713,plain,
sdtlseqdt0(sz0z00,xS),
inference(mrr,[status(thm)],[712,145,138]),
[iquote('0:MRR:712.0,712.1,145.0,138.0')] ).
cnf(716,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(ssi,[status(thm)],[698,9,13]),
[iquote('0:SSi:698.1,698.0,9.0,13.0')] ).
cnf(717,plain,
sdtlseqdt0(sz0z00,xR),
inference(mrr,[status(thm)],[716,139,144]),
[iquote('0:MRR:716.0,716.1,139.0,144.0')] ).
cnf(750,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(res,[status(thm),theory(equality)],[75,61]),
[iquote('0:Res:75.4,61.0')] ).
cnf(757,plain,
( ~ aScalar0(xP)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(obv,[status(thm),theory(equality)],[750]),
[iquote('0:Obv:750.2')] ).
cnf(758,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ssi,[status(thm)],[757,16]),
[iquote('0:SSi:757.0,16.0')] ).
cnf(1026,plain,
( ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xS) ),
inference(res,[status(thm),theory(equality)],[713,77]),
[iquote('0:Res:713.0,77.3')] ).
cnf(1027,plain,
( ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xR) ),
inference(res,[status(thm),theory(equality)],[717,77]),
[iquote('0:Res:717.0,77.3')] ).
cnf(1034,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xS) ),
inference(ssi,[status(thm)],[1026,2,17]),
[iquote('0:SSi:1026.1,1026.0,2.0,17.0')] ).
cnf(1035,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(u,xR) ),
inference(ssi,[status(thm)],[1027,2,15]),
[iquote('0:SSi:1027.1,1027.0,2.0,15.0')] ).
cnf(1233,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(res,[status(thm),theory(equality)],[75,758]),
[iquote('0:Res:75.4,758.1')] ).
cnf(1234,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(ssi,[status(thm)],[1233,15,17]),
[iquote('0:SSi:1233.1,1233.0,15.0,17.0')] ).
cnf(1235,plain,
~ sdtlseqdt0(sz0z00,xP),
inference(mrr,[status(thm)],[1234,717,713]),
[iquote('0:MRR:1234.0,1234.1,717.0,713.0')] ).
cnf(1570,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,xS) ),
inference(res,[status(thm),theory(equality)],[86,54]),
[iquote('0:Res:86.6,54.0')] ).
cnf(1573,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,xS) ),
inference(obv,[status(thm),theory(equality)],[1570]),
[iquote('0:Obv:1570.1')] ).
cnf(1574,plain,
( ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,xS) ),
inference(ssi,[status(thm)],[1573,16,15,17]),
[iquote('0:SSi:1573.2,1573.1,1573.0,16.0,15.0,17.0')] ).
cnf(2036,plain,
( ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,xR) ),
inference(res,[status(thm),theory(equality)],[1034,1574]),
[iquote('0:Res:1034.2,1574.1')] ).
cnf(2037,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,xR) ),
inference(ssi,[status(thm)],[2036,16]),
[iquote('0:SSi:2036.0,16.0')] ).
cnf(2247,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(xR,xP) ),
inference(res,[status(thm),theory(equality)],[62,2037]),
[iquote('0:Res:62.2,2037.1')] ).
cnf(2249,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(xR,xP) ),
inference(ssi,[status(thm)],[2247,15,16]),
[iquote('0:SSi:2247.1,2247.0,15.0,16.0')] ).
cnf(2250,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xR,xP) ),
inference(res,[status(thm),theory(equality)],[62,2249]),
[iquote('0:Res:62.2,2249.0')] ).
cnf(2252,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xR,xP) ),
inference(ssi,[status(thm)],[2250,2,16]),
[iquote('0:SSi:2250.1,2250.0,2.0,16.0')] ).
cnf(2253,plain,
sdtlseqdt0(xR,xP),
inference(mrr,[status(thm)],[2252,1235]),
[iquote('0:MRR:2252.0,1235.0')] ).
cnf(2255,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(xP,xR)
| equal(xP,xR) ),
inference(res,[status(thm),theory(equality)],[2253,73]),
[iquote('0:Res:2253.0,73.2')] ).
cnf(2256,plain,
( ~ sdtlseqdt0(xP,xR)
| equal(xP,xR) ),
inference(ssi,[status(thm)],[2255,15,16]),
[iquote('0:SSi:2255.1,2255.0,15.0,16.0')] ).
cnf(2274,plain,
( ~ aScalar0(xP)
| ~ sdtlseqdt0(xP,sz0z00)
| equal(xP,xR) ),
inference(res,[status(thm),theory(equality)],[1035,2256]),
[iquote('0:Res:1035.2,2256.0')] ).
cnf(2275,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| equal(xP,xR) ),
inference(ssi,[status(thm)],[2274,16]),
[iquote('0:SSi:2274.0,16.0')] ).
cnf(2281,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,xP)
| equal(xP,xR) ),
inference(res,[status(thm),theory(equality)],[62,2275]),
[iquote('0:Res:62.2,2275.0')] ).
cnf(2283,plain,
( sdtlseqdt0(sz0z00,xP)
| equal(xP,xR) ),
inference(ssi,[status(thm)],[2281,2,16]),
[iquote('0:SSi:2281.1,2281.0,2.0,16.0')] ).
cnf(2284,plain,
equal(xP,xR),
inference(mrr,[status(thm)],[2283,1235]),
[iquote('0:MRR:2283.0,1235.0')] ).
cnf(2298,plain,
~ sdtlseqdt0(sz0z00,xR),
inference(rew,[status(thm),theory(equality)],[2284,1235]),
[iquote('0:Rew:2284.0,1235.0')] ).
cnf(2335,plain,
$false,
inference(mrr,[status(thm)],[2298,717]),
[iquote('0:MRR:2298.0,717.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG071+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 04:57:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.75/0.92
% 0.75/0.92 SPASS V 3.9
% 0.75/0.92 SPASS beiseite: Proof found.
% 0.75/0.92 % SZS status Theorem
% 0.75/0.92 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.92 SPASS derived 1203 clauses, backtracked 0 clauses, performed 0 splits and kept 644 clauses.
% 0.75/0.92 SPASS allocated 100655 KBytes.
% 0.75/0.92 SPASS spent 0:00:00.56 on the problem.
% 0.75/0.92 0:00:00.04 for the input.
% 0.75/0.92 0:00:00.03 for the FLOTTER CNF translation.
% 0.75/0.92 0:00:00.02 for inferences.
% 0.75/0.92 0:00:00.00 for the backtracking.
% 0.75/0.92 0:00:00.45 for the reduction.
% 0.75/0.92
% 0.75/0.92
% 0.75/0.92 Here is a proof with depth 8, length 71 :
% 0.75/0.92 % SZS output start Refutation
% See solution above
% 0.75/0.92 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
% 0.75/0.92
%------------------------------------------------------------------------------