TSTP Solution File: NUM620+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM620+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 11:31:55 EDT 2023
% Result : Theorem 7.21s 1.64s
% Output : CNFRefutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 125 ( 17 unt; 0 def)
% Number of atoms : 463 ( 62 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 594 ( 256 ~; 257 |; 58 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn; 95 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f111,axiom,
( xp = sdtlpdtrp0(xe,xn)
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f115,axiom,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
fof(f117,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f118,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[],[f117]) ).
fof(f127,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f130,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f131,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f138,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f139,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f138]) ).
fof(f155,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f185]) ).
fof(f229,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f230,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f231,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f230]) ).
fof(f249,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(ennf_transformation,[],[f118]) ).
fof(f256,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f257,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f256]) ).
fof(f258,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f257]) ).
fof(f259,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f258,f259]) ).
fof(f261,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,[],[f132]) ).
fof(f262,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,[],[f261]) ).
fof(f263,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,[],[f262]) ).
fof(f264,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f265,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])],[f263,f264]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f186]) ).
fof(f286,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f285]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f286]) ).
fof(f288,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f287,f288]) ).
fof(f342,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f260]) ).
fof(f347,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f348,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f349,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f355,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f386,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f389,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f415,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f505,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f506,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f507,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f555,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f561,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f563,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f564,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f249]) ).
fof(f565,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f249]) ).
fof(f567,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f342]) ).
fof(f568,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f347]) ).
fof(f575,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f415]) ).
cnf(c_52,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f567]) ).
cnf(c_55,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_63,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f386]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_126,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X0) ),
inference(cnf_transformation,[],[f575]) ).
cnf(c_213,plain,
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f506]) ).
cnf(c_214,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f505]) ).
cnf(c_215,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f507]) ).
cnf(c_263,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f555]) ).
cnf(c_270,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f561]) ).
cnf(c_271,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
inference(cnf_transformation,[],[f563]) ).
cnf(c_272,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f565]) ).
cnf(c_273,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f564]) ).
cnf(c_423,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_424,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(renaming,[status(thm)],[c_423]) ).
cnf(c_18376,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
cnf(c_18377,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_273,c_59]) ).
cnf(c_18421,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_214,c_424]) ).
cnf(c_18432,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtlpdtrp0(xN,X2)) ),
inference(superposition,[status(thm)],[c_215,c_424]) ).
cnf(c_18449,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_18376,c_95,c_18376]) ).
cnf(c_18456,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_18449,c_18377]) ).
cnf(c_18524,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| aSubsetOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_18421,c_95,c_18421]) ).
cnf(c_18525,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_18524]) ).
cnf(c_18536,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_273,c_18525]) ).
cnf(c_18620,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtlpdtrp0(xN,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18432,c_18449]) ).
cnf(c_18629,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_273,c_18620]) ).
cnf(c_18656,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_98,c_18456]) ).
cnf(c_19866,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
cnf(c_19915,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_271,c_126]) ).
cnf(c_19935,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X1) ),
inference(superposition,[status(thm)],[c_126,c_58]) ).
cnf(c_20024,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_214,c_424]) ).
cnf(c_20064,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtlpdtrp0(xN,X2)) ),
inference(superposition,[status(thm)],[c_215,c_424]) ).
cnf(c_20141,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
cnf(c_20152,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_19866,c_95,c_18376]) ).
cnf(c_20260,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_214,c_19915]) ).
cnf(c_20277,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_271,c_126]) ).
cnf(c_20451,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X2) ),
inference(superposition,[status(thm)],[c_19935,c_58]) ).
cnf(c_20754,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| aSubsetOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_20024,c_95,c_18421]) ).
cnf(c_20755,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_20754]) ).
cnf(c_20766,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_273,c_20755]) ).
cnf(c_20940,plain,
( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtlpdtrp0(xN,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20064,c_20152]) ).
cnf(c_20949,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_273,c_20940]) ).
cnf(c_20951,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_20141,c_95,c_18376]) ).
cnf(c_21190,plain,
( sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_20277,c_270,c_20260]) ).
cnf(c_21196,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0)
| ~ aSet0(X0)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,X0) ),
inference(superposition,[status(thm)],[c_21190,c_58]) ).
cnf(c_22060,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X2)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20451,c_59]) ).
cnf(c_22628,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_20766,c_263,c_18536,c_18656]) ).
cnf(c_22634,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,X0)
| ~ aSet0(X0)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) ),
inference(superposition,[status(thm)],[c_22628,c_22060]) ).
cnf(c_22808,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_20949,c_263,c_18629,c_18656]) ).
cnf(c_22809,plain,
( ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,X0)) ),
inference(renaming,[status(thm)],[c_22808]) ).
cnf(c_22818,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),X1)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ sdtlseqdt0(X0,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) ),
inference(superposition,[status(thm)],[c_22809,c_22060]) ).
cnf(c_23315,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(superposition,[status(thm)],[c_273,c_21196]) ).
cnf(c_28026,plain,
( sdtlpdtrp0(xN,xm) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(global_subsumption_just,[status(thm)],[c_23315,c_272,c_23315]) ).
cnf(c_28027,plain,
( ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(renaming,[status(thm)],[c_28026]) ).
cnf(c_28032,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(superposition,[status(thm)],[c_20951,c_28027]) ).
cnf(c_28363,plain,
( sdtlpdtrp0(xN,xm) = slcrc0
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_22634,c_28032]) ).
cnf(c_28364,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(renaming,[status(thm)],[c_28363]) ).
cnf(c_28369,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(superposition,[status(thm)],[c_98,c_28364]) ).
cnf(c_28543,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(global_subsumption_just,[status(thm)],[c_22818,c_263,c_28369]) ).
cnf(c_28573,plain,
( ~ aElementOf0(xm,szNzAzT0)
| isCountable0(slcrc0) ),
inference(superposition,[status(thm)],[c_28543,c_213]) ).
cnf(c_28615,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28573,c_55,c_270,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM620+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:17:30 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.21/1.64 % SZS status Started for theBenchmark.p
% 7.21/1.64 % SZS status Theorem for theBenchmark.p
% 7.21/1.64
% 7.21/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.21/1.64
% 7.21/1.64 ------ iProver source info
% 7.21/1.64
% 7.21/1.64 git: date: 2023-05-31 18:12:56 +0000
% 7.21/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.21/1.64 git: non_committed_changes: false
% 7.21/1.64 git: last_make_outside_of_git: false
% 7.21/1.64
% 7.21/1.64 ------ Parsing...
% 7.21/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.21/1.64
% 7.21/1.64 ------ Preprocessing... sup_sim: 3 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
% 7.21/1.64
% 7.21/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.21/1.64
% 7.21/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.21/1.64 ------ Proving...
% 7.21/1.64 ------ Problem Properties
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64 clauses 220
% 7.21/1.64 conjectures 2
% 7.21/1.64 EPR 57
% 7.21/1.64 Horn 181
% 7.21/1.64 unary 62
% 7.21/1.64 binary 32
% 7.21/1.64 lits 675
% 7.21/1.64 lits eq 111
% 7.21/1.64 fd_pure 0
% 7.21/1.64 fd_pseudo 0
% 7.21/1.64 fd_cond 10
% 7.21/1.64 fd_pseudo_cond 25
% 7.21/1.64 AC symbols 0
% 7.21/1.64
% 7.21/1.64 ------ Input Options Time Limit: Unbounded
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64 ------
% 7.21/1.64 Current options:
% 7.21/1.64 ------
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64 ------ Proving...
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64 ------ Proving...
% 7.21/1.64
% 7.21/1.64
% 7.21/1.64 % SZS status Theorem for theBenchmark.p
% 7.21/1.64
% 7.21/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.21/1.65
% 7.21/1.65
%------------------------------------------------------------------------------