TSTP Solution File: NUM620+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM620+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 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 12:13:18 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 99 ( 20 unt; 0 def)
% Number of atoms : 302 ( 50 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 337 ( 134 ~; 123 |; 54 &)
% ( 14 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 92 (; 79 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1046,plain,
$false,
inference(avatar_sat_refutation,[],[f649,f650,f702,f912,f920,f1008,f1031,f1045]) ).
fof(f1045,plain,
( ~ spl40_16
| ~ spl40_21 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1044,plain,
( $false
| ~ spl40_16
| ~ spl40_21 ),
inference(subsumption_resolution,[],[f1043,f911]) ).
fof(f911,plain,
( aElementOf0(xx,sF39)
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f909,plain,
( spl40_16
<=> aElementOf0(xx,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f1043,plain,
( ~ aElementOf0(xx,sF39)
| ~ spl40_21 ),
inference(resolution,[],[f1007,f630]) ).
fof(f630,plain,
aSubsetOf0(sF39,sF38),
inference(definition_folding,[],[f363,f627,f626,f629]) ).
fof(f629,plain,
sdtlpdtrp0(xN,xm) = sF39,
introduced(function_definition,[]) ).
fof(f626,plain,
szszuzczcdt0(xn) = sF37,
introduced(function_definition,[]) ).
fof(f627,plain,
sdtlpdtrp0(xN,sF37) = sF38,
introduced(function_definition,[]) ).
fof(f363,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[],[f117]) ).
fof(f117,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',m__) ).
fof(f1007,plain,
( ! [X15] :
( ~ aSubsetOf0(X15,sF38)
| ~ aElementOf0(xx,X15) )
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl40_21
<=> ! [X15] :
( ~ aElementOf0(xx,X15)
| ~ aSubsetOf0(X15,sF38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f1031,plain,
( ~ spl40_4
| spl40_20 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1030,plain,
( $false
| ~ spl40_4
| spl40_20 ),
inference(subsumption_resolution,[],[f1026,f448]) ).
fof(f448,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',mNATSet) ).
fof(f1026,plain,
( ~ aSet0(szNzAzT0)
| ~ spl40_4
| spl40_20 ),
inference(resolution,[],[f1009,f711]) ).
fof(f711,plain,
( aSubsetOf0(sF38,szNzAzT0)
| ~ spl40_4 ),
inference(subsumption_resolution,[],[f709,f672]) ).
fof(f672,plain,
( aElementOf0(sF37,szNzAzT0)
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl40_4
<=> aElementOf0(sF37,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f709,plain,
( aSubsetOf0(sF38,szNzAzT0)
| ~ aElementOf0(sF37,szNzAzT0) ),
inference(superposition,[],[f429,f627]) ).
fof(f429,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',m__3671) ).
fof(f1009,plain,
( ! [X0] :
( ~ aSubsetOf0(sF38,X0)
| ~ aSet0(X0) )
| spl40_20 ),
inference(resolution,[],[f1004,f491]) ).
fof(f491,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(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,[sK24])],[f301,f302]) ).
fof(f302,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK24(X0,X1),X0)
& aElementOf0(sK24(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f301,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,[],[f300]) ).
fof(f300,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,[],[f299]) ).
fof(f299,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,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',mDefSub) ).
fof(f1004,plain,
( ~ aSet0(sF38)
| spl40_20 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl40_20
<=> aSet0(sF38) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f1008,plain,
( ~ spl40_20
| spl40_21 ),
inference(avatar_split_clause,[],[f991,f1006,f1002]) ).
fof(f991,plain,
! [X15] :
( ~ aElementOf0(xx,X15)
| ~ aSubsetOf0(X15,sF38)
| ~ aSet0(sF38) ),
inference(resolution,[],[f492,f628]) ).
fof(f628,plain,
~ aElementOf0(xx,sF38),
inference(definition_folding,[],[f364,f627,f626]) ).
fof(f364,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f126]) ).
fof(f492,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f920,plain,
( spl40_3
| ~ spl40_15 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f919,plain,
( $false
| spl40_3
| ~ spl40_15 ),
inference(subsumption_resolution,[],[f915,f648]) ).
fof(f648,plain,
( ~ isCountable0(slcrc0)
| spl40_3 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl40_3
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f915,plain,
( isCountable0(slcrc0)
| ~ spl40_15 ),
inference(backward_demodulation,[],[f679,f907]) ).
fof(f907,plain,
( slcrc0 = sF39
| ~ spl40_15 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f905,plain,
( spl40_15
<=> slcrc0 = sF39 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f679,plain,
isCountable0(sF39),
inference(subsumption_resolution,[],[f669,f414]) ).
fof(f414,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f115,axiom,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',m__5389) ).
fof(f669,plain,
( isCountable0(sF39)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[],[f430,f629]) ).
fof(f430,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f912,plain,
( spl40_15
| spl40_16 ),
inference(avatar_split_clause,[],[f903,f909,f905]) ).
fof(f903,plain,
( aElementOf0(xx,sF39)
| slcrc0 = sF39 ),
inference(subsumption_resolution,[],[f902,f712]) ).
fof(f712,plain,
aSubsetOf0(sF39,szNzAzT0),
inference(subsumption_resolution,[],[f710,f414]) ).
fof(f710,plain,
( aSubsetOf0(sF39,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[],[f429,f629]) ).
fof(f902,plain,
( aElementOf0(xx,sF39)
| slcrc0 = sF39
| ~ aSubsetOf0(sF39,szNzAzT0) ),
inference(superposition,[],[f612,f632]) ).
fof(f632,plain,
xx = szmzizndt0(sF39),
inference(forward_demodulation,[],[f380,f629]) ).
fof(f380,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',m__5401) ).
fof(f612,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f531]) ).
fof(f531,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK29(X0,X1))
& aElementOf0(sK29(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,[sK29])],[f321,f322]) ).
fof(f322,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK29(X0,X1))
& aElementOf0(sK29(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f321,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,[],[f320]) ).
fof(f320,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,[],[f319]) ).
fof(f319,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,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f211]) ).
fof(f211,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(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/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',mDefMin) ).
fof(f702,plain,
spl40_4,
inference(avatar_split_clause,[],[f701,f671]) ).
fof(f701,plain,
aElementOf0(sF37,szNzAzT0),
inference(subsumption_resolution,[],[f697,f423]) ).
fof(f423,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f111,axiom,
( xp = sdtlpdtrp0(xe,xn)
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',m__5309) ).
fof(f697,plain,
( aElementOf0(sF37,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f503,f626]) ).
fof(f503,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',mSuccNum) ).
fof(f650,plain,
spl40_1,
inference(avatar_split_clause,[],[f614,f637]) ).
fof(f637,plain,
( spl40_1
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f614,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f535]) ).
fof(f535,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK30(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f326,f327]) ).
fof(f327,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK30(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',mDefEmp) ).
fof(f649,plain,
( ~ spl40_1
| ~ spl40_3 ),
inference(avatar_split_clause,[],[f608,f646,f637]) ).
fof(f608,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f523]) ).
fof(f523,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698',mCountNFin_01) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM620+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 13:13:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.SCPTPcFByN/Vampire---4.8_5698
% 0.15/0.37 % (5815)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (5820)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (5823)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.43 % (5821)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (5816)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.43 % (5817)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.45 % (5818)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.45 % (5820)First to succeed.
% 0.23/0.46 % (5820)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (5820)------------------------------
% 0.23/0.46 % (5820)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (5820)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (5820)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (5820)Memory used [KB]: 6140
% 0.23/0.46 % (5820)Time elapsed: 0.024 s
% 0.23/0.46 % (5820)------------------------------
% 0.23/0.46 % (5820)------------------------------
% 0.23/0.46 % (5815)Success in time 0.088 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------