TSTP Solution File: NUM599+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM599+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 11:31:45 EDT 2023
% Result : Theorem 87.22s 12.21s
% Output : CNFRefutation 87.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 126 ( 30 unt; 0 def)
% Number of atoms : 439 ( 92 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 558 ( 245 ~; 247 |; 48 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn; 78 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f96,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4930) ).
fof(f97,conjecture,
isCountable0(xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f98,negated_conjecture,
~ isCountable0(xO),
inference(negated_conjecture,[],[f97]) ).
fof(f106,plain,
~ isCountable0(xO),
inference(flattening,[],[f98]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f116,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f117,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f118,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f120,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f119]) ).
fof(f193,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f202]) ).
fof(f213,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f214,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f213]) ).
fof(f226,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f242,f243]) ).
fof(f308,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK22(X0)) = sdtlpdtrp0(X0,sK21(X0))
& sK21(X0) != sK22(X0)
& aElementOf0(sK22(X0),szDzozmdt0(X0))
& aElementOf0(sK21(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ( sdtlpdtrp0(X0,sK22(X0)) = sdtlpdtrp0(X0,sK21(X0))
& sK21(X0) != sK22(X0)
& aElementOf0(sK22(X0),szDzozmdt0(X0))
& aElementOf0(sK21(X0),szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f203,f308]) ).
fof(f325,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f330,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f331,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f332,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f363,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f432,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f455,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK21(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f456,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| aElementOf0(sK22(X0),szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f457,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sK21(X0) != sK22(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f458,plain,
! [X0,X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK22(X0)) = sdtlpdtrp0(X0,sK21(X0))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f485,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f500,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f226]) ).
fof(f501,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f226]) ).
fof(f502,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f509,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
fof(f510,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f95]) ).
fof(f511,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(cnf_transformation,[],[f96]) ).
fof(f512,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f96]) ).
fof(f513,plain,
~ isCountable0(xO),
inference(cnf_transformation,[],[f106]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_61,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_62,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_63,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f363]) ).
cnf(c_163,plain,
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f432]) ).
cnf(c_186,plain,
( ~ aSubsetOf0(X0,szDzozmdt0(X1))
| ~ isCountable0(X0)
| ~ aFunction0(X1)
| sdtlpdtrp0(X1,sK22(X1)) = sdtlpdtrp0(X1,sK21(X1))
| isCountable0(sdtlcdtrc0(X1,X0)) ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_187,plain,
( sK22(X0) != sK21(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ isCountable0(X1)
| ~ aFunction0(X0)
| isCountable0(sdtlcdtrc0(X0,X1)) ),
inference(cnf_transformation,[],[f457]) ).
cnf(c_188,plain,
( ~ aSubsetOf0(X0,szDzozmdt0(X1))
| ~ isCountable0(X0)
| ~ aFunction0(X1)
| aElementOf0(sK22(X1),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X0)) ),
inference(cnf_transformation,[],[f456]) ).
cnf(c_189,plain,
( ~ aSubsetOf0(X0,szDzozmdt0(X1))
| ~ isCountable0(X0)
| ~ aFunction0(X1)
| aElementOf0(sK21(X1),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X0)) ),
inference(cnf_transformation,[],[f455]) ).
cnf(c_216,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f485]) ).
cnf(c_231,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f502]) ).
cnf(c_232,plain,
szDzozmdt0(xe) = szNzAzT0,
inference(cnf_transformation,[],[f501]) ).
cnf(c_233,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f500]) ).
cnf(c_240,plain,
sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = xO,
inference(cnf_transformation,[],[f510]) ).
cnf(c_241,plain,
aSet0(xO),
inference(cnf_transformation,[],[f509]) ).
cnf(c_242,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f512]) ).
cnf(c_243,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(cnf_transformation,[],[f511]) ).
cnf(c_244,negated_conjecture,
~ isCountable0(xO),
inference(cnf_transformation,[],[f513]) ).
cnf(c_248,plain,
( ~ aSet0(szNzAzT0)
| aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_322,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| szNzAzT0 = szNzAzT0 ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_386,plain,
( ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| X0 = X1 ),
inference(global_subsumption_just,[status(thm)],[c_62,c_59,c_62]) ).
cnf(c_387,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_386]) ).
cnf(c_391,plain,
( ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_59,c_63]) ).
cnf(c_392,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(renaming,[status(thm)],[c_391]) ).
cnf(c_15133,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_15138,plain,
( X0 != X1
| ~ isCountable0(X1)
| isCountable0(X0) ),
theory(equality) ).
cnf(c_15139,plain,
( X0 != X1
| X2 != X3
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X0,X2) ),
theory(equality) ).
cnf(c_18217,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK22(xe),szDzozmdt0(xe))
| isCountable0(xO) ),
inference(superposition,[status(thm)],[c_240,c_188]) ).
cnf(c_18253,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK22(xe),szNzAzT0)
| isCountable0(xO) ),
inference(light_normalisation,[status(thm)],[c_18217,c_232]) ).
cnf(c_18254,plain,
aElementOf0(sK22(xe),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_18253,c_244,c_233,c_242,c_243]) ).
cnf(c_18294,plain,
( ~ aSet0(szNzAzT0)
| aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(superposition,[status(thm)],[c_243,c_59]) ).
cnf(c_18298,plain,
aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(forward_subsumption_resolution,[status(thm)],[c_18294,c_95]) ).
cnf(c_18959,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK21(xe),szDzozmdt0(xe))
| isCountable0(xO) ),
inference(superposition,[status(thm)],[c_240,c_189]) ).
cnf(c_19000,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK21(xe),szNzAzT0)
| isCountable0(xO) ),
inference(light_normalisation,[status(thm)],[c_18959,c_232]) ).
cnf(c_19001,plain,
aElementOf0(sK21(xe),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_19000,c_244,c_233,c_242,c_243]) ).
cnf(c_19157,plain,
( xO != X0
| ~ isCountable0(X0)
| isCountable0(xO) ),
inference(instantiation,[status(thm)],[c_15138]) ).
cnf(c_19509,plain,
szmzizndt0(sdtlpdtrp0(xN,sK22(xe))) = sdtlpdtrp0(xe,sK22(xe)),
inference(superposition,[status(thm)],[c_18254,c_231]) ).
cnf(c_19511,plain,
szmzizndt0(sdtlpdtrp0(xN,sK21(xe))) = sdtlpdtrp0(xe,sK21(xe)),
inference(superposition,[status(thm)],[c_19001,c_231]) ).
cnf(c_19769,plain,
( sK22(xe) != sK21(xe)
| ~ aSubsetOf0(X0,szDzozmdt0(xe))
| ~ isCountable0(X0)
| ~ aFunction0(xe)
| isCountable0(sdtlcdtrc0(xe,X0)) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_20146,plain,
( ~ aFunction0(xe)
| aSet0(szDzozmdt0(xe)) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_24398,plain,
( ~ aSubsetOf0(X0,xO)
| ~ aSubsetOf0(xO,X0)
| ~ aSet0(X0)
| xO = X0 ),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_24409,plain,
( X0 != X1
| xO != X1
| xO = X0 ),
inference(instantiation,[status(thm)],[c_15133]) ).
cnf(c_26529,plain,
( szDzozmdt0(xe) != X0
| X1 != X2
| ~ aSubsetOf0(X2,X0)
| aSubsetOf0(X1,szDzozmdt0(xe)) ),
inference(instantiation,[status(thm)],[c_15139]) ).
cnf(c_26530,plain,
( szDzozmdt0(xe) != szNzAzT0
| szNzAzT0 != szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| aSubsetOf0(szNzAzT0,szDzozmdt0(xe)) ),
inference(instantiation,[status(thm)],[c_26529]) ).
cnf(c_30124,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(sK21(xe),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sK21(xe) = X0 ),
inference(superposition,[status(thm)],[c_19511,c_216]) ).
cnf(c_30147,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(X0,szNzAzT0)
| sK21(xe) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_30124,c_19001]) ).
cnf(c_30495,plain,
( sdtlpdtrp0(xe,sK22(xe)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(sK22(xe),szNzAzT0)
| sK22(xe) = sK21(xe) ),
inference(superposition,[status(thm)],[c_19509,c_30147]) ).
cnf(c_30515,plain,
( sdtlpdtrp0(xe,sK22(xe)) != sdtlpdtrp0(xe,sK21(xe))
| sK22(xe) = sK21(xe) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30495,c_18254]) ).
cnf(c_42030,plain,
( ~ aSubsetOf0(xO,xO)
| ~ aSet0(xO)
| xO = xO ),
inference(instantiation,[status(thm)],[c_24398]) ).
cnf(c_42031,plain,
( ~ aSet0(xO)
| aSubsetOf0(xO,xO) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_42147,plain,
( X0 != xO
| xO != xO
| xO = X0 ),
inference(instantiation,[status(thm)],[c_24409]) ).
cnf(c_62789,plain,
( sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != xO
| xO != xO
| xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(instantiation,[status(thm)],[c_42147]) ).
cnf(c_97424,plain,
( xO != sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| isCountable0(xO) ),
inference(instantiation,[status(thm)],[c_19157]) ).
cnf(c_107447,plain,
( sK22(xe) != sK21(xe)
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(instantiation,[status(thm)],[c_19769]) ).
cnf(c_211607,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),X0)
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(X0,szDzozmdt0(xe))
| ~ aSet0(szDzozmdt0(xe))
| aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe)) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_211608,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xe))
| ~ aSet0(szDzozmdt0(xe))
| aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe)) ),
inference(instantiation,[status(thm)],[c_211607]) ).
cnf(c_384729,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK22(xe),szDzozmdt0(xe))
| isCountable0(xO) ),
inference(superposition,[status(thm)],[c_240,c_188]) ).
cnf(c_384765,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK22(xe),szNzAzT0)
| isCountable0(xO) ),
inference(light_normalisation,[status(thm)],[c_384729,c_232]) ).
cnf(c_384766,plain,
aElementOf0(sK22(xe),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_384765,c_244,c_233,c_242,c_243]) ).
cnf(c_385472,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK21(xe),szDzozmdt0(xe))
| isCountable0(xO) ),
inference(superposition,[status(thm)],[c_240,c_189]) ).
cnf(c_385513,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aFunction0(xe)
| aElementOf0(sK21(xe),szNzAzT0)
| isCountable0(xO) ),
inference(light_normalisation,[status(thm)],[c_385472,c_232]) ).
cnf(c_385514,plain,
aElementOf0(sK21(xe),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_385513,c_244,c_233,c_242,c_243]) ).
cnf(c_386134,plain,
szmzizndt0(sdtlpdtrp0(xN,sK22(xe))) = sdtlpdtrp0(xe,sK22(xe)),
inference(superposition,[status(thm)],[c_384766,c_231]) ).
cnf(c_386136,plain,
szmzizndt0(sdtlpdtrp0(xN,sK21(xe))) = sdtlpdtrp0(xe,sK21(xe)),
inference(superposition,[status(thm)],[c_385514,c_231]) ).
cnf(c_399368,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(sK21(xe),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sK21(xe) = X0 ),
inference(superposition,[status(thm)],[c_386136,c_216]) ).
cnf(c_399391,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(X0,szNzAzT0)
| sK21(xe) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_399368,c_385514]) ).
cnf(c_399919,plain,
( sdtlpdtrp0(xe,sK22(xe)) != sdtlpdtrp0(xe,sK21(xe))
| ~ aElementOf0(sK22(xe),szNzAzT0)
| sK22(xe) = sK21(xe) ),
inference(superposition,[status(thm)],[c_386134,c_399391]) ).
cnf(c_399939,plain,
( sdtlpdtrp0(xe,sK22(xe)) != sdtlpdtrp0(xe,sK21(xe))
| sK22(xe) = sK21(xe) ),
inference(forward_subsumption_resolution,[status(thm)],[c_399919,c_384766]) ).
cnf(c_400007,plain,
sdtlpdtrp0(xe,sK22(xe)) != sdtlpdtrp0(xe,sK21(xe)),
inference(global_subsumption_just,[status(thm)],[c_399939,c_241,c_233,c_95,c_244,c_242,c_232,c_243,c_248,c_240,c_322,c_18298,c_20146,c_26530,c_30515,c_42030,c_42031,c_62789,c_97424,c_107447,c_211608]) ).
cnf(c_400973,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aFunction0(xe)
| sdtlpdtrp0(xe,sK22(xe)) = sdtlpdtrp0(xe,sK21(xe))
| isCountable0(sdtlcdtrc0(xe,X0)) ),
inference(superposition,[status(thm)],[c_232,c_186]) ).
cnf(c_400980,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xe,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_400973,c_400007,c_233]) ).
cnf(c_408010,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| isCountable0(xO) ),
inference(superposition,[status(thm)],[c_240,c_400980]) ).
cnf(c_408011,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_408010,c_244,c_242,c_243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM599+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n020.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 13:22:30 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 87.22/12.21 % SZS status Started for theBenchmark.p
% 87.22/12.21 % SZS status Theorem for theBenchmark.p
% 87.22/12.21
% 87.22/12.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 87.22/12.21
% 87.22/12.21 ------ iProver source info
% 87.22/12.21
% 87.22/12.21 git: date: 2023-05-31 18:12:56 +0000
% 87.22/12.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 87.22/12.21 git: non_committed_changes: false
% 87.22/12.21 git: last_make_outside_of_git: false
% 87.22/12.21
% 87.22/12.21 ------ Parsing...
% 87.22/12.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 87.22/12.21
% 87.22/12.21 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 87.22/12.21
% 87.22/12.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 87.22/12.21
% 87.22/12.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 87.22/12.21 ------ Proving...
% 87.22/12.21 ------ Problem Properties
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21 clauses 191
% 87.22/12.21 conjectures 1
% 87.22/12.21 EPR 43
% 87.22/12.21 Horn 152
% 87.22/12.21 unary 36
% 87.22/12.21 binary 29
% 87.22/12.21 lits 643
% 87.22/12.21 lits eq 102
% 87.22/12.21 fd_pure 0
% 87.22/12.21 fd_pseudo 0
% 87.22/12.21 fd_cond 10
% 87.22/12.21 fd_pseudo_cond 25
% 87.22/12.21 AC symbols 0
% 87.22/12.21
% 87.22/12.21 ------ Schedule dynamic 5 is on
% 87.22/12.21
% 87.22/12.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21 ------
% 87.22/12.21 Current options:
% 87.22/12.21 ------
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21 ------ Proving...
% 87.22/12.21 Proof_search_loop: time out after: 11772 full_loop iterations
% 87.22/12.21
% 87.22/12.21 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21 ------
% 87.22/12.21 Current options:
% 87.22/12.21 ------
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21 ------ Proving...
% 87.22/12.21
% 87.22/12.21
% 87.22/12.21 % SZS status Theorem for theBenchmark.p
% 87.22/12.21
% 87.22/12.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 87.22/12.21
% 87.22/12.22
%------------------------------------------------------------------------------