TSTP Solution File: RNG071+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : 300s
% DateTime : Mon Jun 24 14:03:53 EDT 2024
% Result : Theorem 4.00s 1.16s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(negated_conjecture,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f75]) ).
fof(f80,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f93,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f95,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f120,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f123,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f124,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f125,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f140,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f141,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f163,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f167,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f168,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f169,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f183,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f189,plain,
aVector0(xp),
inference(cnf_transformation,[],[f123]) ).
fof(f193,plain,
aVector0(xq),
inference(cnf_transformation,[],[f124]) ).
fof(f197,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f199,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f201,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f202,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f203,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f204,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f207,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f208,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f209,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f210,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f213,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f214,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f215,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f217,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f218,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f226,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f61]) ).
fof(f227,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f140]) ).
cnf(c_57,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_64,plain,
( ~ aScalar0(X0)
| sdtasdt0(sz0z00,X0) = sz0z00 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_79,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_83,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_84,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_85,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_86,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_99,plain,
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_108,plain,
aVector0(xp),
inference(cnf_transformation,[],[f189]) ).
cnf(c_112,plain,
aVector0(xq),
inference(cnf_transformation,[],[f193]) ).
cnf(c_114,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f197]) ).
cnf(c_116,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f199]) ).
cnf(c_117,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f202]) ).
cnf(c_118,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f201]) ).
cnf(c_119,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f204]) ).
cnf(c_120,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f203]) ).
cnf(c_123,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f208]) ).
cnf(c_124,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f207]) ).
cnf(c_125,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f210]) ).
cnf(c_126,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f209]) ).
cnf(c_129,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f214]) ).
cnf(c_130,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f213]) ).
cnf(c_132,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f215]) ).
cnf(c_133,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f218]) ).
cnf(c_134,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f217]) ).
cnf(c_142,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f226]) ).
cnf(c_143,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_1898,plain,
sdtpldt0(xR,xS) = sP3_iProver_def,
definition ).
cnf(c_1899,plain,
sdtpldt0(xP,xP) = sP4_iProver_def,
definition ).
cnf(c_1900,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sP3_iProver_def)
| ~ sdtlseqdt0(sz0z00,sP4_iProver_def) ),
inference(demodulation,[status(thm)],[c_143,c_1899,c_1898]) ).
cnf(c_3025,plain,
sdtlseqdt0(sP3_iProver_def,sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_142,c_1898,c_1899]) ).
cnf(c_3031,plain,
( ~ aScalar0(xA)
| sdtlseqdt0(sz0z00,xF) ),
inference(superposition,[status(thm)],[c_123,c_86]) ).
cnf(c_3032,plain,
( ~ aScalar0(xB)
| sdtlseqdt0(sz0z00,xG) ),
inference(superposition,[status(thm)],[c_125,c_86]) ).
cnf(c_3033,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_3032,c_116]) ).
cnf(c_3034,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_3031,c_114]) ).
cnf(c_3039,plain,
( ~ aVector0(xp)
| sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_117,c_99]) ).
cnf(c_3040,plain,
( ~ aVector0(xq)
| sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_119,c_99]) ).
cnf(c_3041,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_3040,c_112]) ).
cnf(c_3042,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_3039,c_108]) ).
cnf(c_3095,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_64]) ).
cnf(c_3166,plain,
( ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3095,c_86]) ).
cnf(c_3167,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3166,c_56]) ).
cnf(c_3207,plain,
( ~ aScalar0(xP)
| aScalar0(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_1899,c_57]) ).
cnf(c_3208,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1898,c_57]) ).
cnf(c_3214,plain,
aScalar0(sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_3207,c_132]) ).
cnf(c_3215,plain,
aScalar0(sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_3208,c_134,c_130]) ).
cnf(c_3537,plain,
( ~ sdtlseqdt0(sz0z00,sP4_iProver_def)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sP3_iProver_def)
| sdtlseqdt0(sP3_iProver_def,sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_1900]) ).
cnf(c_3541,plain,
( ~ sdtlseqdt0(sz0z00,sP4_iProver_def)
| sdtlseqdt0(sP3_iProver_def,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3537,c_3215,c_56]) ).
cnf(c_3552,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sP4_iProver_def)
| sdtlseqdt0(sP3_iProver_def,sz0z00)
| sdtlseqdt0(sP4_iProver_def,sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_3541]) ).
cnf(c_3554,plain,
( sdtlseqdt0(sP3_iProver_def,sz0z00)
| sdtlseqdt0(sP4_iProver_def,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3552,c_3214,c_56]) ).
cnf(c_4106,plain,
( ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG)
| sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_129,c_84]) ).
cnf(c_4108,plain,
( ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| sdtlseqdt0(sz0z00,xS) ),
inference(superposition,[status(thm)],[c_133,c_84]) ).
cnf(c_4144,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_4108,c_124,c_120,c_3034,c_3041]) ).
cnf(c_4152,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_4106,c_126,c_118,c_3033,c_3042]) ).
cnf(c_4189,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xR)
| ~ aScalar0(xS)
| sdtlseqdt0(sz0z00,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1898,c_85]) ).
cnf(c_4224,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| sdtlseqdt0(sz0z00,sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4189,c_134,c_130]) ).
cnf(c_4259,plain,
( ~ sdtlseqdt0(sP4_iProver_def,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sP3_iProver_def)
| ~ aScalar0(sP4_iProver_def)
| sdtlseqdt0(sP3_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_3025,c_80]) ).
cnf(c_4264,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sP4_iProver_def)
| sdtlseqdt0(sP4_iProver_def,X0)
| sdtlseqdt0(sP3_iProver_def,sz0z00) ),
inference(superposition,[status(thm)],[c_3554,c_80]) ).
cnf(c_4282,plain,
( ~ sdtlseqdt0(sP4_iProver_def,X0)
| ~ aScalar0(X0)
| sdtlseqdt0(sP3_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4259,c_3214,c_3215]) ).
cnf(c_4286,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| sdtlseqdt0(sP4_iProver_def,X0)
| sdtlseqdt0(sP3_iProver_def,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4264,c_3214,c_56]) ).
cnf(c_4347,plain,
( ~ sdtlseqdt0(sP4_iProver_def,sz0z00)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sP3_iProver_def,sz0z00) ),
inference(instantiation,[status(thm)],[c_4282]) ).
cnf(c_4447,plain,
sdtlseqdt0(sP3_iProver_def,sz0z00),
inference(global_subsumption_just,[status(thm)],[c_4286,c_56,c_3554,c_4347]) ).
cnf(c_4449,plain,
( ~ sdtlseqdt0(sz0z00,sP3_iProver_def)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sP3_iProver_def)
| sz0z00 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_4447,c_79]) ).
cnf(c_4451,plain,
( ~ sdtlseqdt0(sz0z00,sP3_iProver_def)
| sz0z00 = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_4449,c_3215,c_56]) ).
cnf(c_4458,plain,
sz0z00 = sP3_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_4451,c_4152,c_4144,c_4224,c_4451]) ).
cnf(c_4526,plain,
sdtlseqdt0(sP3_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_3167,c_4458]) ).
cnf(c_4540,plain,
( ~ sdtlseqdt0(sP3_iProver_def,sP3_iProver_def)
| ~ sdtlseqdt0(sP3_iProver_def,sP4_iProver_def) ),
inference(demodulation,[status(thm)],[c_1900,c_4458]) ).
cnf(c_4541,plain,
~ sdtlseqdt0(sP3_iProver_def,sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4540,c_4526]) ).
cnf(c_4542,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4541,c_3025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG071+2 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Jun 18 13:48:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.00/1.16 % SZS status Started for theBenchmark.p
% 4.00/1.16 % SZS status Theorem for theBenchmark.p
% 4.00/1.16
% 4.00/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.00/1.16
% 4.00/1.16 ------ iProver source info
% 4.00/1.16
% 4.00/1.16 git: date: 2024-06-12 09:56:46 +0000
% 4.00/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.00/1.16 git: non_committed_changes: false
% 4.00/1.16
% 4.00/1.16 ------ Parsing...
% 4.00/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 4.00/1.16 ------ Proving...
% 4.00/1.16 ------ Problem Properties
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 clauses 99
% 4.00/1.16 conjectures 1
% 4.00/1.16 EPR 26
% 4.00/1.16 Horn 87
% 4.00/1.16 unary 45
% 4.00/1.16 binary 20
% 4.00/1.16 lits 234
% 4.00/1.16 lits eq 73
% 4.00/1.16 fd_pure 0
% 4.00/1.16 fd_pseudo 0
% 4.00/1.16 fd_cond 1
% 4.00/1.16 fd_pseudo_cond 5
% 4.00/1.16 AC symbols 0
% 4.00/1.16
% 4.00/1.16 ------ Schedule dynamic 5 is on
% 4.00/1.16
% 4.00/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------
% 4.00/1.16 Current options:
% 4.00/1.16 ------
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------ Proving...
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 % SZS status Theorem for theBenchmark.p
% 4.00/1.16
% 4.00/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.00/1.16
% 4.00/1.17
%------------------------------------------------------------------------------