TSTP Solution File: NUM611+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM611+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Thu Aug 31 11:31:51 EDT 2023
% Result : Theorem 19.62s 3.70s
% Output : CNFRefutation 19.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 118 ( 44 unt; 0 def)
% Number of atoms : 328 ( 77 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 343 ( 133 ~; 120 |; 63 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn; 70 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f99,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f100,axiom,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(f103,axiom,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
fof(f107,axiom,
( aSubsetOf0(xP,xQ)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
fof(f109,conjecture,
xk = sbrdtbr0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f110,negated_conjecture,
xk != sbrdtbr0(xP),
inference(negated_conjecture,[],[f109]) ).
fof(f130,plain,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) ) ),
inference(rectify,[],[f100]) ).
fof(f132,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& aSet0(xP) ),
inference(rectify,[],[f104]) ).
fof(f133,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f110]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f141]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f164,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f165,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f164]) ).
fof(f183,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f185]) ).
fof(f233,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f261,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f262,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f263,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f130]) ).
fof(f264,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f268,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f132]) ).
fof(f269,plain,
( aSubsetOf0(xP,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f329,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f183]) ).
fof(f495,plain,
( ? [X0] : aElementOf0(X0,xQ)
=> aElementOf0(sK71,xQ) ),
introduced(choice_axiom,[]) ).
fof(f496,plain,
( slcrc0 != xQ
& aElementOf0(sK71,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f264,f495]) ).
fof(f497,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(nnf_transformation,[],[f268]) ).
fof(f498,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(flattening,[],[f497]) ).
fof(f501,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f512,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f540,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f546,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f551,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f566,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f567,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f570,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f646,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f648,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f233]) ).
fof(f699,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f700,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f891,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f261]) ).
fof(f893,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f262]) ).
fof(f896,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f262]) ).
fof(f898,plain,
! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f496]) ).
fof(f910,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f267]) ).
fof(f911,plain,
aSet0(xP),
inference(cnf_transformation,[],[f498]) ).
fof(f915,plain,
! [X0] :
( szmzizndt0(xQ) != X0
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f498]) ).
fof(f917,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f498]) ).
fof(f918,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f922,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f269]) ).
fof(f925,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f133]) ).
fof(f984,plain,
~ aElementOf0(szmzizndt0(xQ),xP),
inference(equality_resolution,[],[f915]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f501]) ).
cnf(c_60,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f512]) ).
cnf(c_88,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f546]) ).
cnf(c_99,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f551]) ).
cnf(c_114,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| aElementOf0(sbrdtbr0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_115,plain,
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_118,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| sbrdtbr0(sdtpldt0(X1,X0)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_194,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f646]) ).
cnf(c_197,plain,
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f648]) ).
cnf(c_247,plain,
szszuzczcdt0(xk) = xK,
inference(cnf_transformation,[],[f700]) ).
cnf(c_248,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f699]) ).
cnf(c_440,plain,
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f891]) ).
cnf(c_442,plain,
sbrdtbr0(xQ) = xK,
inference(cnf_transformation,[],[f896]) ).
cnf(c_445,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f893]) ).
cnf(c_448,plain,
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f898]) ).
cnf(c_456,plain,
szmzizndt0(xQ) = xp,
inference(cnf_transformation,[],[f910]) ).
cnf(c_459,plain,
sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
inference(cnf_transformation,[],[f917]) ).
cnf(c_461,plain,
~ aElementOf0(szmzizndt0(xQ),xP),
inference(cnf_transformation,[],[f984]) ).
cnf(c_465,plain,
aSet0(xP),
inference(cnf_transformation,[],[f911]) ).
cnf(c_466,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f918]) ).
cnf(c_469,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f922]) ).
cnf(c_473,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(cnf_transformation,[],[f925]) ).
cnf(c_3354,plain,
~ aElementOf0(xp,xP),
inference(demodulation,[status(thm)],[c_461,c_456]) ).
cnf(c_3419,plain,
sdtmndt0(xQ,xp) = xP,
inference(light_normalisation,[status(thm)],[c_459,c_456]) ).
cnf(c_26272,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_31501,plain,
aElementOf0(xp,xO),
inference(superposition,[status(thm)],[c_466,c_448]) ).
cnf(c_31503,plain,
aElementOf0(xp,xS),
inference(superposition,[status(thm)],[c_31501,c_440]) ).
cnf(c_31505,plain,
aElementOf0(xp,szNzAzT0),
inference(superposition,[status(thm)],[c_31503,c_197]) ).
cnf(c_31603,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xQ)
| isFinite0(xQ) ),
inference(superposition,[status(thm)],[c_442,c_115]) ).
cnf(c_31604,plain,
isFinite0(xQ),
inference(forward_subsumption_resolution,[status(thm)],[c_31603,c_445,c_194]) ).
cnf(c_31719,plain,
( ~ aElement0(xp)
| ~ aSet0(xP)
| ~ isFinite0(xP)
| sbrdtbr0(sdtpldt0(xP,xp)) = szszuzczcdt0(sbrdtbr0(xP)) ),
inference(superposition,[status(thm)],[c_118,c_3354]) ).
cnf(c_31720,plain,
( ~ aElement0(xp)
| ~ isFinite0(xP)
| sbrdtbr0(sdtpldt0(xP,xp)) = szszuzczcdt0(sbrdtbr0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31719,c_465]) ).
cnf(c_31851,plain,
( ~ aSet0(szNzAzT0)
| aElement0(xp) ),
inference(superposition,[status(thm)],[c_31505,c_49]) ).
cnf(c_31852,plain,
aElement0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_31851,c_95]) ).
cnf(c_32728,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| isFinite0(xP) ),
inference(superposition,[status(thm)],[c_469,c_60]) ).
cnf(c_32731,plain,
isFinite0(xP),
inference(forward_subsumption_resolution,[status(thm)],[c_32728,c_31604,c_445]) ).
cnf(c_33020,plain,
( ~ aSet0(xP)
| ~ isFinite0(xP)
| aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_33361,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != szszuzczcdt0(xk)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| sbrdtbr0(xP) = xk ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_39783,plain,
( ~ aElement0(xp)
| ~ aSet0(xP)
| ~ isFinite0(xP)
| sbrdtbr0(sdtpldt0(xP,xp)) = szszuzczcdt0(sbrdtbr0(xP)) ),
inference(superposition,[status(thm)],[c_118,c_3354]) ).
cnf(c_39784,plain,
( ~ aElement0(xp)
| ~ isFinite0(xP)
| sbrdtbr0(sdtpldt0(xP,xp)) = szszuzczcdt0(sbrdtbr0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39783,c_465]) ).
cnf(c_41419,plain,
sbrdtbr0(sdtpldt0(xP,xp)) = szszuzczcdt0(sbrdtbr0(xP)),
inference(global_subsumption_just,[status(thm)],[c_39784,c_31720,c_31852,c_32731]) ).
cnf(c_44306,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != X0
| szszuzczcdt0(xk) != X0
| szszuzczcdt0(sbrdtbr0(xP)) = szszuzczcdt0(xk) ),
inference(instantiation,[status(thm)],[c_26272]) ).
cnf(c_58730,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != xK
| szszuzczcdt0(xk) != xK
| szszuzczcdt0(sbrdtbr0(xP)) = szszuzczcdt0(xk) ),
inference(instantiation,[status(thm)],[c_44306]) ).
cnf(c_72380,plain,
( ~ aSet0(xQ)
| sdtpldt0(sdtmndt0(xQ,xp),xp) = xQ ),
inference(superposition,[status(thm)],[c_466,c_88]) ).
cnf(c_72422,plain,
( ~ aSet0(xQ)
| sdtpldt0(xP,xp) = xQ ),
inference(light_normalisation,[status(thm)],[c_72380,c_3419]) ).
cnf(c_72423,plain,
sdtpldt0(xP,xp) = xQ,
inference(forward_subsumption_resolution,[status(thm)],[c_72422,c_445]) ).
cnf(c_72561,plain,
szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
inference(demodulation,[status(thm)],[c_41419,c_72423]) ).
cnf(c_72562,plain,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference(light_normalisation,[status(thm)],[c_72561,c_442]) ).
cnf(c_72564,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_72562,c_58730,c_33361,c_33020,c_32731,c_473,c_247,c_248,c_465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM611+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 : Fri Aug 25 13:26:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.62/3.70 % SZS status Started for theBenchmark.p
% 19.62/3.70 % SZS status Theorem for theBenchmark.p
% 19.62/3.70
% 19.62/3.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 19.62/3.70
% 19.62/3.70 ------ iProver source info
% 19.62/3.70
% 19.62/3.70 git: date: 2023-05-31 18:12:56 +0000
% 19.62/3.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 19.62/3.70 git: non_committed_changes: false
% 19.62/3.70 git: last_make_outside_of_git: false
% 19.62/3.70
% 19.62/3.70 ------ Parsing...
% 19.62/3.70 ------ Clausification by vclausify_rel & Parsing by iProver...
% 19.62/3.70
% 19.62/3.70 ------ Preprocessing... sup_sim: 13 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 19.62/3.70
% 19.62/3.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 19.62/3.70
% 19.62/3.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.62/3.70 ------ Proving...
% 19.62/3.70 ------ Problem Properties
% 19.62/3.70
% 19.62/3.70
% 19.62/3.70 clauses 380
% 19.62/3.70 conjectures 1
% 19.62/3.70 EPR 74
% 19.62/3.70 Horn 305
% 19.62/3.70 unary 58
% 19.62/3.70 binary 103
% 19.62/3.70 lits 1182
% 19.62/3.70 lits eq 171
% 19.62/3.70 fd_pure 0
% 19.62/3.70 fd_pseudo 0
% 19.62/3.70 fd_cond 11
% 19.62/3.70 fd_pseudo_cond 39
% 19.62/3.70 AC symbols 0
% 19.62/3.70
% 19.62/3.70 ------ Schedule dynamic 5 is on
% 19.62/3.70
% 19.62/3.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 19.62/3.70
% 19.62/3.70
% 19.62/3.70 ------
% 19.62/3.70 Current options:
% 19.62/3.70 ------
% 19.62/3.70
% 19.62/3.70
% 19.62/3.70
% 19.62/3.70
% 19.62/3.70 ------ Proving...
% 19.62/3.70
% 19.62/3.70
% 19.62/3.70 % SZS status Theorem for theBenchmark.p
% 19.62/3.70
% 19.62/3.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.62/3.70
% 19.62/3.70
%------------------------------------------------------------------------------