TSTP Solution File: RNG072+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : 300s
% DateTime : Wed May 31 12:32:47 EDT 2023
% Result : Theorem 9.22s 1.60s
% Output : CNFRefutation 9.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 44
% Syntax : Number of formulae : 151 ( 43 unt; 0 def)
% Number of atoms : 334 ( 28 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 313 ( 130 ~; 134 |; 19 &)
% ( 24 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 25 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 30 (; 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(sz0z00,W2)
& sdtlseqdt0(W2,W3) )
=> sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,hypothesis,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f68,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f85,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f86,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| aScalar0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f120,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(W1,W0)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f126,plain,
! [W0,W1,W2,W3] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| ~ aScalar0(W2)
| ~ aScalar0(W3)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(sz0z00,W2)
| ~ sdtlseqdt0(W2,W3)
| sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f126]) ).
fof(f128,plain,
! [W0,W1] :
( ~ aScalar0(W0)
| ~ aScalar0(W1)
| sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f163,plain,
aVector0(xs),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f164,plain,
aVector0(xt),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f167,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f168,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f173,plain,
aScalar0(xA),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f175,plain,
aScalar0(xB),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f177,plain,
aScalar0(xC),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f183,plain,
aScalar0(xF),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f184,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f185,plain,
aScalar0(xG),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f186,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f189,plain,
aScalar0(xR),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f191,plain,
aScalar0(xP),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f193,plain,
aScalar0(xS),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f201,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f203,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f204,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f205,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f235,plain,
( spl0_7
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f237,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl0_7 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f240,plain,
( spl0_8
<=> aScalar0(xR) ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( ~ aScalar0(xR)
| spl0_8 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( spl0_9
<=> aScalar0(xS) ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( ~ aScalar0(xS)
| spl0_9 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl0_7 ),
inference(resolution,[status(thm)],[f237,f87]) ).
fof(f247,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_7 ),
inference(split_clause,[status(thm)],[f246,f240,f243,f235]) ).
fof(f248,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f189]) ).
fof(f249,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f193]) ).
fof(f251,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( spl0_10
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f254,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl0_10 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f257,plain,
( spl0_11
<=> aScalar0(xP) ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( ~ aScalar0(xP)
| spl0_11 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl0_10 ),
inference(resolution,[status(thm)],[f254,f87]) ).
fof(f261,plain,
( ~ spl0_11
| spl0_10 ),
inference(split_clause,[status(thm)],[f260,f257,f252]) ).
fof(f262,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f191]) ).
fof(f263,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( spl0_12
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(resolution,[status(thm)],[f201,f129]) ).
fof(f268,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_12 ),
inference(split_clause,[status(thm)],[f267,f235,f252,f264]) ).
fof(f596,plain,
( spl0_65
<=> aScalar0(sz0z00) ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( ~ aScalar0(sz0z00)
| spl0_65 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( spl0_66
<=> sdtlseqdt0(sdtpldt0(xR,xS),sz0z00) ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| spl0_66 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( spl0_67
<=> sdtpldt0(xR,xS) = sz0z00 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( sdtpldt0(xR,xS) = sz0z00
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
| sdtpldt0(xR,xS) = sz0z00 ),
inference(resolution,[status(thm)],[f203,f121]) ).
fof(f606,plain,
( ~ spl0_7
| ~ spl0_65
| ~ spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f605,f235,f596,f599,f602]) ).
fof(f607,plain,
( spl0_68
<=> sdtlseqdt0(sdtpldt0(xP,xP),sz0z00) ),
introduced(split_symbol_definition) ).
fof(f610,plain,
( spl0_69
<=> sdtpldt0(xP,xP) = sz0z00 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( sdtpldt0(xP,xP) = sz0z00
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| sdtpldt0(xP,xP) = sz0z00 ),
inference(resolution,[status(thm)],[f204,f121]) ).
fof(f614,plain,
( ~ spl0_10
| ~ spl0_65
| ~ spl0_68
| spl0_69 ),
inference(split_clause,[status(thm)],[f613,f252,f596,f607,f610]) ).
fof(f615,plain,
( spl0_70
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(split_symbol_definition) ).
fof(f618,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl0_66 ),
inference(resolution,[status(thm)],[f601,f129]) ).
fof(f619,plain,
( ~ spl0_65
| ~ spl0_7
| spl0_70
| spl0_66 ),
inference(split_clause,[status(thm)],[f618,f596,f235,f615,f599]) ).
fof(f947,plain,
( $false
| spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f85]) ).
fof(f948,plain,
spl0_65,
inference(contradiction_clause,[status(thm)],[f947]) ).
fof(f1141,plain,
( spl0_137
<=> aNaturalNumber0(sz00) ),
introduced(split_symbol_definition) ).
fof(f1143,plain,
( ~ aNaturalNumber0(sz00)
| spl0_137 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1424,plain,
( spl0_175
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(split_symbol_definition) ).
fof(f1426,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl0_175 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1897,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f611,f201]) ).
fof(f1898,plain,
( $false
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f203]) ).
fof(f1899,plain,
~ spl0_69,
inference(contradiction_clause,[status(thm)],[f1898]) ).
fof(f1954,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sz0z00),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f603,f205]) ).
fof(f1955,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f603,f1954]) ).
fof(f2226,plain,
( $false
| spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f68]) ).
fof(f2227,plain,
spl0_137,
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2228,plain,
( spl0_221
<=> aVector0(xt) ),
introduced(split_symbol_definition) ).
fof(f2230,plain,
( ~ aVector0(xt)
| spl0_221 ),
inference(component_clause,[status(thm)],[f2228]) ).
fof(f2236,plain,
( $false
| spl0_221 ),
inference(forward_subsumption_resolution,[status(thm)],[f2230,f164]) ).
fof(f2237,plain,
spl0_221,
inference(contradiction_clause,[status(thm)],[f2236]) ).
fof(f2238,plain,
( spl0_223
<=> aScalar0(xA) ),
introduced(split_symbol_definition) ).
fof(f2240,plain,
( ~ aScalar0(xA)
| spl0_223 ),
inference(component_clause,[status(thm)],[f2238]) ).
fof(f2289,plain,
( spl0_234
<=> aScalar0(sdtasdt0(xA,xA)) ),
introduced(split_symbol_definition) ).
fof(f2291,plain,
( ~ aScalar0(sdtasdt0(xA,xA))
| spl0_234 ),
inference(component_clause,[status(thm)],[f2289]) ).
fof(f2314,plain,
( $false
| spl0_223 ),
inference(forward_subsumption_resolution,[status(thm)],[f2240,f173]) ).
fof(f2315,plain,
spl0_223,
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2316,plain,
( ~ aScalar0(xF)
| spl0_234 ),
inference(forward_demodulation,[status(thm)],[f184,f2291]) ).
fof(f2317,plain,
( $false
| spl0_234 ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f183]) ).
fof(f2318,plain,
spl0_234,
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2402,plain,
( spl0_245
<=> aScalar0(xB) ),
introduced(split_symbol_definition) ).
fof(f2404,plain,
( ~ aScalar0(xB)
| spl0_245 ),
inference(component_clause,[status(thm)],[f2402]) ).
fof(f2453,plain,
( spl0_256
<=> aScalar0(sdtasdt0(xB,xB)) ),
introduced(split_symbol_definition) ).
fof(f2455,plain,
( ~ aScalar0(sdtasdt0(xB,xB))
| spl0_256 ),
inference(component_clause,[status(thm)],[f2453]) ).
fof(f2478,plain,
( $false
| spl0_245 ),
inference(forward_subsumption_resolution,[status(thm)],[f2404,f175]) ).
fof(f2479,plain,
spl0_245,
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2480,plain,
( ~ aScalar0(xG)
| spl0_256 ),
inference(forward_demodulation,[status(thm)],[f186,f2455]) ).
fof(f2481,plain,
( $false
| spl0_256 ),
inference(forward_subsumption_resolution,[status(thm)],[f2480,f185]) ).
fof(f2482,plain,
spl0_256,
inference(contradiction_clause,[status(thm)],[f2481]) ).
fof(f2563,plain,
( spl0_276
<=> aScalar0(xC) ),
introduced(split_symbol_definition) ).
fof(f2565,plain,
( ~ aScalar0(xC)
| spl0_276 ),
inference(component_clause,[status(thm)],[f2563]) ).
fof(f2625,plain,
( $false
| spl0_276 ),
inference(forward_subsumption_resolution,[status(thm)],[f2565,f177]) ).
fof(f2626,plain,
spl0_276,
inference(contradiction_clause,[status(thm)],[f2625]) ).
fof(f3106,plain,
( spl0_319
<=> aDimensionOf0(xt) = sz00 ),
introduced(split_symbol_definition) ).
fof(f3107,plain,
( aDimensionOf0(xt) = sz00
| ~ spl0_319 ),
inference(component_clause,[status(thm)],[f3106]) ).
fof(f3114,plain,
( spl0_321
<=> aVector0(xs) ),
introduced(split_symbol_definition) ).
fof(f3116,plain,
( ~ aVector0(xs)
| spl0_321 ),
inference(component_clause,[status(thm)],[f3114]) ).
fof(f3117,plain,
( spl0_322
<=> aDimensionOf0(xs) = sz00 ),
introduced(split_symbol_definition) ).
fof(f3118,plain,
( aDimensionOf0(xs) = sz00
| ~ spl0_322 ),
inference(component_clause,[status(thm)],[f3117]) ).
fof(f3125,plain,
( $false
| spl0_321 ),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f163]) ).
fof(f3126,plain,
spl0_321,
inference(contradiction_clause,[status(thm)],[f3125]) ).
fof(f3127,plain,
( aDimensionOf0(xs) = sz00
| ~ spl0_319 ),
inference(forward_demodulation,[status(thm)],[f167,f3107]) ).
fof(f3128,plain,
( $false
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[status(thm)],[f3127,f168]) ).
fof(f3129,plain,
~ spl0_319,
inference(contradiction_clause,[status(thm)],[f3128]) ).
fof(f3130,plain,
( $false
| ~ spl0_322 ),
inference(forward_subsumption_resolution,[status(thm)],[f3118,f168]) ).
fof(f3131,plain,
~ spl0_322,
inference(contradiction_clause,[status(thm)],[f3130]) ).
fof(f3526,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,sz0z00)
| spl0_175 ),
inference(resolution,[status(thm)],[f1426,f129]) ).
fof(f3527,plain,
( ~ spl0_65
| spl0_175 ),
inference(split_clause,[status(thm)],[f3526,f596,f1424]) ).
fof(f3638,plain,
( spl0_378
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(split_symbol_definition) ).
fof(f3640,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl0_378 ),
inference(component_clause,[status(thm)],[f3638]) ).
fof(f3794,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl0_378 ),
inference(resolution,[status(thm)],[f3640,f129]) ).
fof(f3795,plain,
( ~ spl0_10
| ~ spl0_65
| spl0_68
| spl0_378 ),
inference(split_clause,[status(thm)],[f3794,f252,f596,f607,f3638]) ).
fof(f4486,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f1955,f127]) ).
fof(f4487,plain,
( ~ spl0_65
| ~ spl0_10
| ~ spl0_378
| ~ spl0_175
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f4486,f596,f252,f3638,f1424,f602]) ).
fof(f4612,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(resolution,[status(thm)],[f205,f127]) ).
fof(f4613,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f4612,f235,f252,f264,f615]) ).
fof(f4620,plain,
$false,
inference(sat_refutation,[status(thm)],[f247,f249,f251,f261,f263,f268,f606,f614,f619,f948,f1899,f2227,f2237,f2315,f2318,f2479,f2482,f2626,f3126,f3129,f3131,f3527,f3795,f4487,f4613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 : 300
% 0.13/0.34 % DateTime : Tue May 30 10:52:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 9.22/1.60 % Refutation found
% 9.22/1.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.22/1.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.66/1.64 % Elapsed time: 1.288544 seconds
% 9.66/1.64 % CPU time: 9.783027 seconds
% 9.66/1.64 % Memory used: 128.978 MB
%------------------------------------------------------------------------------