TSTP Solution File: NUM619+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM619+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : Fri May 3 02:50:13 EDT 2024
% Result : Theorem 142.66s 19.71s
% Output : CNFRefutation 142.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 112 ( 34 unt; 0 def)
% Number of atoms : 297 ( 46 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 314 ( 129 ~; 117 |; 51 &)
% ( 0 <=>; 17 =>; 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 : 22 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 54 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
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(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
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(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
fof(f111,axiom,
( xp = sdtlpdtrp0(xe,xn)
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,xn)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f113,axiom,
( aElementOf0(xx,xP)
& szmzizndt0(xQ) != xx
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f114,axiom,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(f115,axiom,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(f116,axiom,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
fof(f117,conjecture,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f118,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(negated_conjecture,[],[f117]) ).
fof(f138,plain,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) ) ),
inference(rectify,[],[f100]) ).
fof(f141,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(flattening,[],[f118]) ).
fof(f171,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f183,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f184,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f183]) ).
fof(f187,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f188,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f187]) ).
fof(f241,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f249,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f250,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f249]) ).
fof(f264,plain,
( ! [X0] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f269,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f271,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f138]) ).
fof(f272,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(flattening,[],[f271]) ).
fof(f275,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f279,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f504,plain,
( ? [X0] : aElementOf0(X0,xQ)
=> aElementOf0(sK71,xQ) ),
introduced(choice_axiom,[]) ).
fof(f505,plain,
( slcrc0 != xQ
& aElementOf0(sK71,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f272,f504]) ).
fof(f510,plain,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( xx = sdtlpdtrp0(xe,sK73)
& aElementOf0(sK73,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f511,plain,
( xx = sdtlpdtrp0(xe,sK73)
& aElementOf0(sK73,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xx,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f114,f510]) ).
fof(f560,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f572,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f574,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f659,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f241]) ).
fof(f734,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f863,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f902,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f269]) ).
fof(f909,plain,
! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f505]) ).
fof(f920,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f275]) ).
fof(f921,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f275]) ).
fof(f929,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f941,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f942,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f945,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f113]) ).
fof(f946,plain,
szmzizndt0(xQ) != xx,
inference(cnf_transformation,[],[f113]) ).
fof(f948,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f511]) ).
fof(f951,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f952,plain,
xx = sdtlpdtrp0(xe,xm),
inference(cnf_transformation,[],[f115]) ).
fof(f953,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f279]) ).
fof(f954,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f141]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_109,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_111,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f574]) ).
cnf(c_197,plain,
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f659]) ).
cnf(c_272,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X2)) ),
inference(cnf_transformation,[],[f734]) ).
cnf(c_400,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f863]) ).
cnf(c_440,plain,
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f902]) ).
cnf(c_448,plain,
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f909]) ).
cnf(c_456,plain,
szmzizndt0(xQ) = xp,
inference(cnf_transformation,[],[f921]) ).
cnf(c_457,plain,
( ~ aElementOf0(X0,xQ)
| sdtlseqdt0(xp,X0) ),
inference(cnf_transformation,[],[f920]) ).
cnf(c_466,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f929]) ).
cnf(c_475,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(cnf_transformation,[],[f942]) ).
cnf(c_476,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f941]) ).
cnf(c_482,plain,
szmzizndt0(xQ) != xx,
inference(cnf_transformation,[],[f946]) ).
cnf(c_483,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f945]) ).
cnf(c_487,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f948]) ).
cnf(c_488,plain,
sdtlpdtrp0(xe,xm) = xx,
inference(cnf_transformation,[],[f952]) ).
cnf(c_489,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f951]) ).
cnf(c_490,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X0) ),
inference(cnf_transformation,[],[f953]) ).
cnf(c_491,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f954]) ).
cnf(c_3875,plain,
xp != xx,
inference(light_normalisation,[status(thm)],[c_482,c_456]) ).
cnf(c_22590,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_28690,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_28770,plain,
( ~ aElementOf0(xp,xQ)
| sdtlseqdt0(xp,xp) ),
inference(instantiation,[status(thm)],[c_457]) ).
cnf(c_28771,plain,
( ~ aElementOf0(xx,xQ)
| sdtlseqdt0(xp,xx) ),
inference(instantiation,[status(thm)],[c_457]) ).
cnf(c_29237,plain,
aElementOf0(xp,xO),
inference(superposition,[status(thm)],[c_466,c_448]) ).
cnf(c_29251,plain,
aElementOf0(xp,xS),
inference(superposition,[status(thm)],[c_29237,c_440]) ).
cnf(c_29334,plain,
aElementOf0(xp,szNzAzT0),
inference(superposition,[status(thm)],[c_29251,c_197]) ).
cnf(c_29877,plain,
( xp != X0
| xx != X0
| xp = xx ),
inference(instantiation,[status(thm)],[c_22590]) ).
cnf(c_30409,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm)],[c_475,c_400]) ).
cnf(c_30411,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_488,c_400]) ).
cnf(c_31989,plain,
( ~ aElementOf0(xp,szNzAzT0)
| ~ sdtlseqdt0(xp,xp)
| xp = xp ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_31999,plain,
( ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0)
| ~ sdtlseqdt0(xp,xx)
| ~ sdtlseqdt0(xx,xp)
| xx = xp ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_37108,plain,
( xp != xp
| xx != xp
| xp = xx ),
inference(instantiation,[status(thm)],[c_29877]) ).
cnf(c_54237,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm)],[c_475,c_400]) ).
cnf(c_54239,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_488,c_400]) ).
cnf(c_54424,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(global_subsumption_just,[status(thm)],[c_54237,c_476,c_30409]) ).
cnf(c_54472,plain,
aElementOf0(xx,sdtlpdtrp0(xN,xm)),
inference(global_subsumption_just,[status(thm)],[c_54239,c_489,c_30411]) ).
cnf(c_70521,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_54424,c_272]) ).
cnf(c_70523,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_54472,c_272]) ).
cnf(c_146944,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm)],[c_475,c_400]) ).
cnf(c_146946,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_488,c_400]) ).
cnf(c_146957,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(global_subsumption_just,[status(thm)],[c_146944,c_476,c_30409]) ).
cnf(c_146963,plain,
aElementOf0(xx,sdtlpdtrp0(xN,xm)),
inference(global_subsumption_just,[status(thm)],[c_146946,c_489,c_30411]) ).
cnf(c_165970,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_146957,c_272]) ).
cnf(c_165972,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_146963,c_272]) ).
cnf(c_165994,plain,
( ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_165970,c_476,c_70521]) ).
cnf(c_165995,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xn)
| aElementOf0(xp,sdtlpdtrp0(xN,X0)) ),
inference(renaming,[status(thm)],[c_165994]) ).
cnf(c_166006,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(xx,xp) ),
inference(superposition,[status(thm)],[c_165995,c_490]) ).
cnf(c_166033,plain,
( ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(xx,sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_165972,c_489,c_70523]) ).
cnf(c_166034,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| aElementOf0(xx,sdtlpdtrp0(xN,X0)) ),
inference(renaming,[status(thm)],[c_166033]) ).
cnf(c_166046,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(superposition,[status(thm)],[c_166034,c_491]) ).
cnf(c_166056,plain,
~ sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(global_subsumption_just,[status(thm)],[c_166046,c_476,c_28690,c_166046]) ).
cnf(c_166058,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_111,c_166056]) ).
cnf(c_166059,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_166058,c_166006,c_37108,c_31999,c_31989,c_29334,c_28771,c_28770,c_3875,c_466,c_476,c_483,c_487,c_489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM619+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 19:17:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 142.66/19.71 % SZS status Started for theBenchmark.p
% 142.66/19.71 % SZS status Theorem for theBenchmark.p
% 142.66/19.71
% 142.66/19.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 142.66/19.71
% 142.66/19.71 ------ iProver source info
% 142.66/19.71
% 142.66/19.71 git: date: 2024-05-02 19:28:25 +0000
% 142.66/19.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 142.66/19.71 git: non_committed_changes: false
% 142.66/19.71
% 142.66/19.71 ------ Parsing...
% 142.66/19.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 142.66/19.71
% 142.66/19.71 ------ Preprocessing... sup_sim: 12 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
% 142.66/19.71
% 142.66/19.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 142.66/19.71
% 142.66/19.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 142.66/19.71 ------ Proving...
% 142.66/19.71 ------ Problem Properties
% 142.66/19.71
% 142.66/19.71
% 142.66/19.71 clauses 394
% 142.66/19.71 conjectures 1
% 142.66/19.71 EPR 77
% 142.66/19.71 Horn 319
% 142.66/19.71 unary 74
% 142.66/19.71 binary 101
% 142.66/19.71 lits 1194
% 142.66/19.71 lits eq 176
% 142.66/19.71 fd_pure 0
% 142.66/19.71 fd_pseudo 0
% 142.66/19.71 fd_cond 11
% 142.66/19.71 fd_pseudo_cond 39
% 142.66/19.71 AC symbols 0
% 142.66/19.71
% 142.66/19.71 ------ Input Options Time Limit: Unbounded
% 142.66/19.71
% 142.66/19.71
% 142.66/19.71 ------
% 142.66/19.71 Current options:
% 142.66/19.71 ------
% 142.66/19.71
% 142.66/19.71
% 142.66/19.71
% 142.66/19.71
% 142.66/19.71 ------ Proving...
% 142.66/19.71
% 142.66/19.71
% 142.66/19.71 % SZS status Theorem for theBenchmark.p
% 142.66/19.71
% 142.66/19.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 142.66/19.71
% 142.66/19.72
%------------------------------------------------------------------------------