%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG071+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:43 PM UTC 2026
% Result : Theorem 2.23s 1.19s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 139 ( 58 unt; 2 def)
% Number of atoms : 398 ( 62 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 354 ( 145 ~; 147 |; 49 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f80,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f94]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f120,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f123,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f124,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f125,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f138,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f80]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f168,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f181,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f190,plain,
aVector0(xp),
inference(cnf_transformation,[],[f123]) ).
fof(f194,plain,
aVector0(xq),
inference(cnf_transformation,[],[f124]) ).
fof(f196,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f198,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f199,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f200,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f201,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f202,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f205,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f206,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f207,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f208,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f211,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f212,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f214,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f216,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f224,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f61]) ).
fof(f225,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f138]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_105,plain,
aVector0(xp),
inference(cnf_transformation,[],[f190]) ).
tcf(c_109,plain,
aVector0(xq),
inference(cnf_transformation,[],[f194]) ).
tcf(c_113,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f196]) ).
tcf(c_115,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f198]) ).
tcf(c_117,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f200]) ).
tcf(c_118,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f199]) ).
tcf(c_119,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f202]) ).
tcf(c_120,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f201]) ).
tcf(c_123,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f206]) ).
tcf(c_124,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f205]) ).
tcf(c_125,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f208]) ).
tcf(c_126,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f207]) ).
tcf(c_129,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f212]) ).
tcf(c_130,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f211]) ).
tcf(c_131,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f214]) ).
tcf(c_133,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f216]) ).
tcf(c_134,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f215]) ).
tcf(c_142,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f224]) ).
tcf(c_143,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_1898,definition,
iPr_def_13 = sdtpldt0(xR,xS),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1899,definition,
iPr_def_14 = sdtpldt0(xP,xP),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1900,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ sdtlseqdt0(sz0z00,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_143,c_1899,c_1898]) ).
tcf(c_3025,plain,
sdtlseqdt0(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_142,c_1898,c_1899]) ).
tcf(c_3031,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_124,c_86]) ).
tcf(c_3032,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_126,c_86]) ).
tcf(c_3033,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_3032,c_115]) ).
tcf(c_3034,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_3031,c_113]) ).
tcf(c_3039,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_118,c_99]) ).
tcf(c_3040,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_120,c_99]) ).
tcf(c_3041,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_3040,c_109]) ).
tcf(c_3042,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_3039,c_105]) ).
tcf(c_3102,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_3168,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(xP) ),
inference(superposition,[status(thm)],[c_1899,c_57]) ).
tcf(c_3169,plain,
( aScalar0(iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_1898,c_57]) ).
tcf(c_3188,plain,
aScalar0(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3168,c_131]) ).
tcf(c_3189,plain,
aScalar0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3169,c_133,c_129]) ).
tcf(c_3462,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3102,c_86]) ).
tcf(c_3463,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3462,c_56]) ).
tcf(c_3508,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_83,c_1900]) ).
tcf(c_3512,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3508,c_3189,c_56]) ).
tcf(c_3552,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(iPr_def_13,sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_3512]) ).
tcf(c_3554,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(iPr_def_13,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3552,c_3188,c_56]) ).
tcf(c_4106,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_1898,c_84]) ).
tcf(c_4140,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4106,c_133,c_129]) ).
tcf(c_4165,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_130,c_85]) ).
tcf(c_4167,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_134,c_85]) ).
tcf(c_4203,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_4167,c_123,c_119,c_3034,c_3041]) ).
tcf(c_4211,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_4165,c_125,c_117,c_3033,c_3042]) ).
tcf(c_4260,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_3025,c_80]) ).
tcf(c_4265,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_13,sz0z00)
| sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3554,c_80]) ).
tcf(c_4283,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4260,c_3188,c_3189]) ).
tcf(c_4287,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_13,sz0z00)
| sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4265,c_3188,c_56]) ).
tcf(c_4348,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(instantiation,[status(thm)],[c_4283]) ).
tcf(c_4449,plain,
sdtlseqdt0(iPr_def_13,sz0z00),
inference(global_subsumption_just,[status(thm)],[c_4287,c_56,c_3554,c_4348]) ).
tcf(c_4452,plain,
( ( sz0z00 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,iPr_def_13) ),
inference(superposition,[status(thm)],[c_4449,c_79]) ).
tcf(c_4453,plain,
( ( sz0z00 = iPr_def_13 )
| ~ sdtlseqdt0(sz0z00,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4452,c_3189,c_56]) ).
tcf(c_4460,plain,
sz0z00 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_4453,c_4140,c_4211,c_4203,c_4453]) ).
tcf(c_4501,plain,
sdtlseqdt0(iPr_def_13,iPr_def_13),
inference(demodulation,[status(thm)],[c_3463,c_4460]) ).
tcf(c_4542,plain,
( ~ sdtlseqdt0(iPr_def_13,iPr_def_14)
| ~ sdtlseqdt0(iPr_def_13,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_1900,c_4460]) ).
tcf(c_4543,plain,
~ sdtlseqdt0(iPr_def_13,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_4542,c_4501]) ).
tcf(c_4544,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4543,c_3025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG071+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 08:04:49 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.23/1.19 % SZS status Started for theBenchmark.p
% 2.23/1.19 % SZS status Theorem for theBenchmark.p
% 2.23/1.19
% 2.23/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.23/1.19
% 2.23/1.19 % ------ iProver source info
% 2.23/1.19
% 2.23/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.23/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.23/1.19 % git: non_committed_changes: false
% 2.23/1.19
% 2.23/1.19 % ------ Parsing...
% 2.23/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.23/1.19
% 2.23/1.19 % ------ 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 %
% 2.23/1.19
% 2.23/1.19 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.23/1.19
% 2.23/1.19 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 2.23/1.19 % ------ Proving...
% 2.23/1.19 % ------ Problem Properties
% 2.23/1.19
% 2.23/1.19 %
% 2.23/1.19 % clauses 99
% 2.23/1.19 % conjectures 1
% 2.23/1.19 % EPR 26
% 2.23/1.19 % Horn 87
% 2.23/1.19 % unary 45
% 2.23/1.19 % binary 20
% 2.23/1.19 % lits 234
% 2.23/1.19 % lits eq 73
% 2.23/1.19 % fd_pure 0
% 2.23/1.19 % fd_pseudo 0
% 2.23/1.19 % fd_cond 1
% 2.23/1.19 % fd_pseudo_cond 5
% 2.23/1.19 % AC symbols 0
% 2.23/1.19
% 2.23/1.19 % ------ Schedule dynamic 5 is on
% 2.23/1.19
% 2.23/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.23/1.19
% 2.23/1.19
% 2.23/1.19 % ------
% 2.23/1.19 % Current options:
% 2.23/1.19 % ------
% 2.23/1.19
% 2.23/1.19
% 2.23/1.19 %
% 2.23/1.19
% 2.23/1.19 % ------ Proving...
% 2.23/1.19 %
% 2.23/1.19
% 2.23/1.19 % SZS status Theorem for theBenchmark.p
% 2.23/1.19
% 2.23/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.23/1.20
% 2.23/1.20
%------------------------------------------------------------------------------