%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG071+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 2.28s 1.18s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 128 ( 54 unt; 2 def)
% Number of atoms : 350 ( 32 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 330 ( 148 ~; 147 |; 25 &)
% ( 0 <=>; 10 =>; 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 : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 21 :)
% 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(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)
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& 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(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
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,[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(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,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f136,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f159,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f166,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f179,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f188,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f190,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f192,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f193,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f194,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f195,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f196,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f199,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f200,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f201,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f202,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f205,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f206,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f208,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f210,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f217,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f219,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f136]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
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,[],[f160]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f163]) ).
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,[],[f165]) ).
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,[],[f164]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_105,plain,
aVector0(xp),
inference(cnf_transformation,[],[f186]) ).
tcf(c_107,plain,
aVector0(xq),
inference(cnf_transformation,[],[f188]) ).
tcf(c_109,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f190]) ).
tcf(c_111,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f192]) ).
tcf(c_113,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f194]) ).
tcf(c_114,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f193]) ).
tcf(c_115,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f196]) ).
tcf(c_116,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f195]) ).
tcf(c_119,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f200]) ).
tcf(c_120,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f199]) ).
tcf(c_121,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f202]) ).
tcf(c_122,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f201]) ).
tcf(c_125,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f206]) ).
tcf(c_126,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f205]) ).
tcf(c_127,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f208]) ).
tcf(c_129,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f210]) ).
tcf(c_130,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f209]) ).
tcf(c_137,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f217]) ).
tcf(c_139,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_1851,definition,
iPr_def_13 = sdtpldt0(xR,xS),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1852,definition,
iPr_def_14 = sdtpldt0(xP,xP),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1853,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ sdtlseqdt0(sz0z00,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_139,c_1852,c_1851]) ).
tcf(c_2958,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_120,c_86]) ).
tcf(c_2959,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_122,c_86]) ).
tcf(c_2960,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2959,c_111]) ).
tcf(c_2961,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2958,c_109]) ).
tcf(c_2966,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_114,c_99]) ).
tcf(c_2967,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_116,c_99]) ).
tcf(c_2968,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_2967,c_107]) ).
tcf(c_2969,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2966,c_105]) ).
tcf(c_2970,plain,
~ sdtlseqdt0(iPr_def_14,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_137,c_1851,c_1852]) ).
tcf(c_3093,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(xP) ),
inference(superposition,[status(thm)],[c_1852,c_57]) ).
tcf(c_3094,plain,
( aScalar0(iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_1851,c_57]) ).
tcf(c_3115,plain,
aScalar0(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3093,c_127]) ).
tcf(c_3116,plain,
aScalar0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3094,c_129,c_125]) ).
tcf(c_3380,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_83,c_1853]) ).
tcf(c_3384,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3380,c_3116,c_56]) ).
tcf(c_3394,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(iPr_def_13,sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_3384]) ).
tcf(c_3396,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(iPr_def_13,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3394,c_3115,c_56]) ).
tcf(c_3887,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3396,c_79]) ).
tcf(c_3901,plain,
( sdtlseqdt0(iPr_def_13,sz0z00)
| ( sz0z00 = iPr_def_14 )
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3887,c_3115,c_56]) ).
tcf(c_3954,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_1851,c_84]) ).
tcf(c_3985,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3954,c_129,c_125]) ).
tcf(c_4015,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_126,c_85]) ).
tcf(c_4017,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_130,c_85]) ).
tcf(c_4049,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_4017,c_119,c_115,c_2961,c_2968]) ).
tcf(c_4057,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_4015,c_121,c_113,c_2960,c_2969]) ).
tcf(c_4092,plain,
~ sdtlseqdt0(sz0z00,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_3901,c_1853,c_3985,c_4057,c_4049]) ).
tcf(c_4094,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4092]) ).
tcf(c_4096,plain,
sdtlseqdt0(iPr_def_14,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_4094,c_3115,c_56]) ).
tcf(c_4141,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_4096,c_80]) ).
tcf(c_4158,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4141,c_3115,c_56]) ).
tcf(c_4589,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_4158]) ).
tcf(c_4722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4589,c_57,c_4589]) ).
tcf(c_4736,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_1851,c_4722]) ).
tcf(c_4781,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4736,c_2970,c_129,c_125,c_4049,c_4057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG071+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 08:06:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.28/1.18 % SZS status Started for theBenchmark.p
% 2.28/1.18 % SZS status Theorem for theBenchmark.p
% 2.28/1.18
% 2.28/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.28/1.18
% 2.28/1.18 % ------ iProver source info
% 2.28/1.18
% 2.28/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.28/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.28/1.18 % git: non_committed_changes: false
% 2.28/1.18
% 2.28/1.18 % ------ Parsing...
% 2.28/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.28/1.18
% 2.28/1.18 % ------ Preprocessing... sup_sim: 1 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 %
% 2.28/1.18
% 2.28/1.18 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.28/1.18
% 2.28/1.18 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 2.28/1.18 % ------ Proving...
% 2.28/1.18 % ------ Problem Properties
% 2.28/1.18
% 2.28/1.18 %
% 2.28/1.18 % clauses 95
% 2.28/1.18 % conjectures 1
% 2.28/1.18 % EPR 26
% 2.28/1.18 % Horn 83
% 2.28/1.18 % unary 43
% 2.28/1.18 % binary 18
% 2.28/1.18 % lits 228
% 2.28/1.18 % lits eq 69
% 2.28/1.18 % fd_pure 0
% 2.28/1.18 % fd_pseudo 0
% 2.28/1.18 % fd_cond 1
% 2.28/1.18 % fd_pseudo_cond 5
% 2.28/1.18 % AC symbols 0
% 2.28/1.18
% 2.28/1.18 % ------ Schedule dynamic 5 is on
% 2.28/1.18
% 2.28/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.28/1.18
% 2.28/1.18
% 2.28/1.18 % ------
% 2.28/1.18 % Current options:
% 2.28/1.18 % ------
% 2.28/1.18
% 2.28/1.18
% 2.28/1.18 %
% 2.28/1.18
% 2.28/1.18 % ------ Proving...
% 2.28/1.18 %
% 2.28/1.18
% 2.28/1.18 % SZS status Theorem for theBenchmark.p
% 2.28/1.18
% 2.28/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.28/1.18
% 2.28/1.18
%------------------------------------------------------------------------------