TSTP Solution File: NUM437+5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Wed May 1 03:31:07 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 1410 ( 56 equ)
% Maximal formula atoms : 29 ( 15 avg)
% Number of connectives : 817 ( 251 ~; 212 |; 302 &)
% ( 17 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 752 ( 752 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 10 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 205 ( 149 !; 55 ?; 40 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_16,type,
sQ21_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f605,plain,
$false,
inference(avatar_sat_refutation,[],[f432,f453,f498,f511,f595,f604]) ).
tff(f604,plain,
( spl22_14
| ~ spl22_13
| ~ spl22_16 ),
inference(avatar_split_clause,[],[f603,f429,f416,f420]) ).
tff(f420,plain,
( spl22_14
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElementOf0(sK9(sK5(sK10(sK8),sK8)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
tff(f416,plain,
( spl22_13
<=> aInteger0(sK5(sK10(sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
tff(f429,plain,
( spl22_16
<=> sP2(sK5(sK10(sK8),sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
tff(f603,plain,
( ! [X0: $i] :
( ~ aElementOf0(X0,xS)
| ~ aElementOf0(sK9(sK5(sK10(sK8),sK8)),X0) )
| ~ spl22_13
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f602,f417]) ).
tff(f417,plain,
( aInteger0(sK5(sK10(sK8),sK8))
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f416]) ).
tff(f602,plain,
( ! [X0: $i] :
( ~ aElementOf0(X0,xS)
| ~ aElementOf0(sK9(sK5(sK10(sK8),sK8)),X0)
| ~ aInteger0(sK5(sK10(sK8),sK8)) )
| ~ spl22_13
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f410,f480]) ).
tff(f480,plain,
( aInteger0(sK9(sK5(sK10(sK8),sK8)))
| ~ spl22_13
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f479,f417]) ).
tff(f479,plain,
( aInteger0(sK9(sK5(sK10(sK8),sK8)))
| ~ aInteger0(sK5(sK10(sK8),sK8))
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f478,f406]) ).
tff(f406,plain,
~ sQ21_eqProxy($i,sz00,sK5(sK10(sK8),sK8)),
inference(subsumption_resolution,[],[f405,f191]) ).
tff(f191,plain,
aElementOf0(sK8,sbsmnsldt0(xS)),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK8,X1),sbsmnsldt0(xS))
& ~ aElementOf0(sK9(X1),sbsmnsldt0(xS))
& aElementOf0(sK9(X1),szAzrzSzezqlpdtcmdtrp0(sK8,X1))
& sP2(X1,sK8)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK8,X1)) )
| ( sz00 = X1 )
| ~ aInteger0(X1) )
& aElementOf0(sK8,sbsmnsldt0(xS))
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,xS) )
| ~ aInteger0(X3) )
& ( ( aElementOf0(X3,sK10(X3))
& aElementOf0(sK10(X3),xS)
& aInteger0(X3) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f113,f116,f115,f114]) ).
tff(f114,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
& ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP2(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ( sz00 = X1 )
| ~ aInteger0(X1) )
& aElementOf0(X0,sbsmnsldt0(xS)) )
=> ( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK8,X1),sbsmnsldt0(xS))
& ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK8,X1)) )
& sP2(X1,sK8)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK8,X1)) )
| ( sz00 = X1 )
| ~ aInteger0(X1) )
& aElementOf0(sK8,sbsmnsldt0(xS)) ) ),
introduced(choice_axiom,[]) ).
tff(f115,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK8,X1)) )
=> ( ~ aElementOf0(sK9(X1),sbsmnsldt0(xS))
& aElementOf0(sK9(X1),szAzrzSzezqlpdtcmdtrp0(sK8,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f116,plain,
! [X3] :
( ? [X5] :
( aElementOf0(X3,X5)
& aElementOf0(X5,xS) )
=> ( aElementOf0(X3,sK10(X3))
& aElementOf0(sK10(X3),xS) ) ),
introduced(choice_axiom,[]) ).
tff(f113,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
& ? [X2] :
( ~ aElementOf0(X2,sbsmnsldt0(xS))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP2(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| ( sz00 = X1 )
| ~ aInteger0(X1) )
& aElementOf0(X0,sbsmnsldt0(xS)) )
& ! [X3] :
( ( aElementOf0(X3,sbsmnsldt0(xS))
| ! [X4] :
( ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,xS) )
| ~ aInteger0(X3) )
& ( ( ? [X5] :
( aElementOf0(X3,X5)
& aElementOf0(X5,xS) )
& aInteger0(X3) )
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(rectify,[],[f112]) ).
tff(f112,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP2(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ( sz00 = X3 )
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0) )
& ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f111]) ).
tff(f111,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP2(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ( sz00 = X3 )
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( ( aElementOf0(X0,sbsmnsldt0(xS))
| ! [X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X1,xS) )
| ~ aInteger0(X0) )
& ( ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sbsmnsldt0(xS)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(nnf_transformation,[],[f94]) ).
tff(f94,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP2(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ( sz00 = X3 )
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(definition_folding,[],[f49,f93]) ).
tff(f93,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ sP2(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f49,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ( sz00 = X3 )
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(flattening,[],[f48]) ).
tff(f48,plain,
( ~ isOpen0(sbsmnsldt0(xS))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
& ? [X7] :
( ~ aElementOf0(X7,sbsmnsldt0(xS))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ( sz00 = X3 )
| ~ aInteger0(X3) )
& aElementOf0(X2,sbsmnsldt0(xS)) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(ennf_transformation,[],[f41]) ).
tff(f41,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
=> ? [X3] :
( ( ( ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| ? [X5] :
( ( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X5) )
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),sbsmnsldt0(xS))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,sbsmnsldt0(xS)) ) ) )
& ( sz00 != X3 )
& aInteger0(X3) ) ) ) ),
inference(rectify,[],[f39]) ).
tff(f39,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
=> ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( ( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( ( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,sbsmnsldt0(xS)) ) ) )
& ( sz00 != X1 )
& aInteger0(X1) ) ) ) ),
inference(negated_conjecture,[],[f38]) ).
tff(f38,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) )
=> ( isOpen0(sbsmnsldt0(xS))
| ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
=> ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( ( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( ( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),sbsmnsldt0(xS))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,sbsmnsldt0(xS)) ) ) )
& ( sz00 != X1 )
& aInteger0(X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FD7EwcxV9d/Vampire---4.8_11360',m__) ).
tff(f405,plain,
( ~ sQ21_eqProxy($i,sz00,sK5(sK10(sK8),sK8))
| ~ aElementOf0(sK8,sbsmnsldt0(xS)) ),
inference(resolution,[],[f402,f189]) ).
tff(f189,plain,
! [X3: $i] :
( aElementOf0(X3,sK10(X3))
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f117]) ).
tff(f402,plain,
! [X0: $i] :
( ~ aElementOf0(X0,sK10(sK8))
| ~ sQ21_eqProxy($i,sz00,sK5(sK10(sK8),X0)) ),
inference(resolution,[],[f274,f367]) ).
tff(f367,plain,
sP1(sK10(sK8)),
inference(resolution,[],[f360,f191]) ).
tff(f360,plain,
! [X0: $i] :
( ~ aElementOf0(X0,sbsmnsldt0(xS))
| sP1(sK10(X0)) ),
inference(resolution,[],[f176,f188]) ).
tff(f188,plain,
! [X3: $i] :
( aElementOf0(sK10(X3),xS)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) ),
inference(cnf_transformation,[],[f117]) ).
tff(f176,plain,
! [X0: $i] :
( ~ aElementOf0(X0,xS)
| sP1(X0) ),
inference(cnf_transformation,[],[f106]) ).
tff(f106,plain,
( ! [X0] :
( ( isOpen0(X0)
& sP1(X0)
& aSubsetOf0(X0,cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,X0) )
& aSet0(X0)
& ! [X2] :
( ( aElementOf0(X2,cS1395)
| ~ aInteger0(X2) )
& ( aInteger0(X2)
| ~ aElementOf0(X2,cS1395) ) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(rectify,[],[f105]) ).
tff(f105,plain,
( ! [X0] :
( ( isOpen0(X0)
& sP1(X0)
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,cS1395)
| ~ aInteger0(X8) )
& ( aInteger0(X8)
| ~ aElementOf0(X8,cS1395) ) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(nnf_transformation,[],[f92]) ).
tff(f92,plain,
( ! [X0] :
( ( isOpen0(X0)
& sP1(X0)
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(definition_folding,[],[f47,f91,f90]) ).
tff(f90,plain,
! [X2,X1] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X1,X2)
& ~ aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X1)) != sdtasdt0(X2,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
| ~ sP0(X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f91,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& sP0(X2,X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f47,plain,
( ! [X0] :
( ( isOpen0(X0)
& ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X1,X2)
& ~ aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X1)) != sdtasdt0(X2,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(flattening,[],[f46]) ).
tff(f46,plain,
( ! [X0] :
( ( isOpen0(X0)
& ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X1,X2)
& ~ aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X1)) != sdtasdt0(X2,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,cS1395)
| ~ aElementOf0(X7,X0) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) )
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f40]) ).
tff(f40,plain,
( ! [X0] :
( aElementOf0(X0,xS)
=> ( isOpen0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,X0) )
& ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
| ? [X5] :
( ( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X5) )
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( sdteqdtlpzmzozddtrp0(X4,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X4,smndt0(X1)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X1)) = sdtasdt0(X2,X6) )
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) ) )
& aSubsetOf0(X0,cS1395)
& ! [X7] :
( aElementOf0(X7,X0)
=> aElementOf0(X7,cS1395) )
& aSet0(X0)
& ! [X8] :
( aElementOf0(X8,cS1395)
<=> aInteger0(X8) )
& aSet0(cS1395) ) )
& aSet0(xS) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
( ! [X0] :
( aElementOf0(X0,xS)
=> ( isOpen0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,X0) )
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| ? [X4] :
( ( sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aInteger0(X4) ) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( sdteqdtlpzmzozddtrp0(X3,X1,X2)
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& ? [X4] :
( ( sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aInteger0(X4) )
& aInteger0(X3) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) ) )
& aSubsetOf0(X0,cS1395)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,cS1395) )
& aSet0(X0)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(cS1395) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.FD7EwcxV9d/Vampire---4.8_11360',m__1750) ).
tff(f274,plain,
! [X0: $i,X1: $i] :
( ~ sP1(X0)
| ~ aElementOf0(X1,X0)
| ~ sQ21_eqProxy($i,sz00,sK5(X0,X1)) ),
inference(equality_proxy_replacement,[],[f156,f273]) ).
tff(f273,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ21_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ21_eqProxy])]) ).
tff(f156,plain,
! [X0: $i,X1: $i] :
( ( sz00 != sK5(X0,X1) )
| ~ aElementOf0(X1,X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1)),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1))) )
& sP0(sK5(X0,X1),X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1)))
& ( sz00 != sK5(X0,X1) )
& aInteger0(sK5(X0,X1)) )
| ~ aElementOf0(X1,X0) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f98,f99]) ).
tff(f99,plain,
! [X0,X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& sP0(X2,X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1)),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1))) )
& sP0(sK5(X0,X1),X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1)))
& ( sz00 != sK5(X0,X1) )
& aInteger0(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f98,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),X0)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) )
& sP0(X2,X1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ( sz00 != X2 )
& aInteger0(X2) )
| ~ aElementOf0(X1,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f91]) ).
tff(f478,plain,
( aInteger0(sK9(sK5(sK10(sK8),sK8)))
| sQ21_eqProxy($i,sz00,sK5(sK10(sK8),sK8))
| ~ aInteger0(sK5(sK10(sK8),sK8))
| ~ spl22_16 ),
inference(resolution,[],[f455,f281]) ).
tff(f281,plain,
! [X1: $i] :
( aElementOf0(sK9(X1),szAzrzSzezqlpdtcmdtrp0(sK8,X1))
| sQ21_eqProxy($i,sz00,X1)
| ~ aInteger0(X1) ),
inference(equality_proxy_replacement,[],[f194,f273]) ).
tff(f194,plain,
! [X1: $i] :
( aElementOf0(sK9(X1),szAzrzSzezqlpdtcmdtrp0(sK8,X1))
| ( sz00 = X1 )
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f117]) ).
tff(f455,plain,
( ! [X0: $i] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sK8,sK5(sK10(sK8),sK8)))
| aInteger0(X0) )
| ~ spl22_16 ),
inference(resolution,[],[f431,f178]) ).
tff(f178,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ sP2(X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| aInteger0(X2) ),
inference(cnf_transformation,[],[f110]) ).
tff(f110,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( ( sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3) )
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK7(X0,X1,X2)) )
& aInteger0(sK7(X0,X1,X2))
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f108,f109]) ).
tff(f109,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X4) )
& aInteger0(X4) )
=> ( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,sK7(X0,X1,X2)) )
& aInteger0(sK7(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f108,plain,
! [X0,X1] :
( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0))
| ( ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
& ~ aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( ( sdtpldt0(X2,smndt0(X1)) != sdtasdt0(X0,X3) )
| ~ aInteger0(X3) ) )
| ~ aInteger0(X2) )
& ( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
& aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
& ? [X4] :
( ( sdtpldt0(X2,smndt0(X1)) = sdtasdt0(X0,X4) )
& aInteger0(X4) )
& aInteger0(X2) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X1,X0)) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f107]) ).
tff(f107,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( ( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5) )
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( ( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ sP2(X3,X2) ),
inference(nnf_transformation,[],[f93]) ).
tff(f431,plain,
( sP2(sK5(sK10(sK8),sK8),sK8)
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f429]) ).
tff(f410,plain,
! [X0: $i] :
( ~ aElementOf0(X0,xS)
| ~ aInteger0(sK9(sK5(sK10(sK8),sK8)))
| ~ aElementOf0(sK9(sK5(sK10(sK8),sK8)),X0)
| ~ aInteger0(sK5(sK10(sK8),sK8)) ),
inference(resolution,[],[f406,f358]) ).
tff(f358,plain,
! [X0: $i,X1: $i] :
( sQ21_eqProxy($i,sz00,X0)
| ~ aElementOf0(X1,xS)
| ~ aInteger0(sK9(X0))
| ~ aElementOf0(sK9(X0),X1)
| ~ aInteger0(X0) ),
inference(resolution,[],[f190,f280]) ).
tff(f280,plain,
! [X1: $i] :
( ~ aElementOf0(sK9(X1),sbsmnsldt0(xS))
| sQ21_eqProxy($i,sz00,X1)
| ~ aInteger0(X1) ),
inference(equality_proxy_replacement,[],[f195,f273]) ).
tff(f195,plain,
! [X1: $i] :
( ~ aElementOf0(sK9(X1),sbsmnsldt0(xS))
| ( sz00 = X1 )
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f117]) ).
tff(f190,plain,
! [X3: $i,X4: $i] :
( aElementOf0(X3,sbsmnsldt0(xS))
| ~ aElementOf0(X3,X4)
| ~ aElementOf0(X4,xS)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f117]) ).
tff(f595,plain,
( ~ spl22_14
| ~ spl22_17 ),
inference(avatar_contradiction_clause,[],[f594]) ).
tff(f594,plain,
( $false
| ~ spl22_14
| ~ spl22_17 ),
inference(subsumption_resolution,[],[f591,f191]) ).
tff(f591,plain,
( ~ aElementOf0(sK8,sbsmnsldt0(xS))
| ~ spl22_14
| ~ spl22_17 ),
inference(resolution,[],[f471,f493]) ).
tff(f493,plain,
( aElementOf0(sK9(sK5(sK10(sK8),sK8)),sK10(sK8))
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f491]) ).
tff(f491,plain,
( spl22_17
<=> aElementOf0(sK9(sK5(sK10(sK8),sK8)),sK10(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
tff(f471,plain,
( ! [X0: $i] :
( ~ aElementOf0(sK9(sK5(sK10(sK8),sK8)),sK10(X0))
| ~ aElementOf0(X0,sbsmnsldt0(xS)) )
| ~ spl22_14 ),
inference(resolution,[],[f421,f188]) ).
tff(f421,plain,
( ! [X0: $i] :
( ~ aElementOf0(X0,xS)
| ~ aElementOf0(sK9(sK5(sK10(sK8),sK8)),X0) )
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f420]) ).
tff(f511,plain,
spl22_18,
inference(avatar_contradiction_clause,[],[f510]) ).
tff(f510,plain,
( $false
| spl22_18 ),
inference(subsumption_resolution,[],[f509,f191]) ).
tff(f509,plain,
( ~ aElementOf0(sK8,sbsmnsldt0(xS))
| spl22_18 ),
inference(resolution,[],[f497,f189]) ).
tff(f497,plain,
( ~ aElementOf0(sK8,sK10(sK8))
| spl22_18 ),
inference(avatar_component_clause,[],[f495]) ).
tff(f495,plain,
( spl22_18
<=> aElementOf0(sK8,sK10(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
tff(f498,plain,
( spl22_17
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f487,f495,f491]) ).
tff(f487,plain,
( ~ aElementOf0(sK8,sK10(sK8))
| aElementOf0(sK9(sK5(sK10(sK8),sK8)),sK10(sK8)) ),
inference(resolution,[],[f474,f367]) ).
tff(f474,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ aElementOf0(sK8,X0)
| aElementOf0(sK9(sK5(X0,sK8)),X0) ),
inference(subsumption_resolution,[],[f473,f155]) ).
tff(f155,plain,
! [X0: $i,X1: $i] :
( aInteger0(sK5(X0,X1))
| ~ aElementOf0(X1,X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f473,plain,
! [X0: $i] :
( aElementOf0(sK9(sK5(X0,sK8)),X0)
| ~ aElementOf0(sK8,X0)
| ~ sP1(X0)
| ~ aInteger0(sK5(X0,sK8)) ),
inference(subsumption_resolution,[],[f472,f274]) ).
tff(f472,plain,
! [X0: $i] :
( aElementOf0(sK9(sK5(X0,sK8)),X0)
| ~ aElementOf0(sK8,X0)
| ~ sP1(X0)
| sQ21_eqProxy($i,sz00,sK5(X0,sK8))
| ~ aInteger0(sK5(X0,sK8)) ),
inference(resolution,[],[f159,f281]) ).
tff(f159,plain,
! [X3: $i,X0: $i,X1: $i] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,sK5(X0,X1)))
| aElementOf0(X3,X0)
| ~ aElementOf0(X1,X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f453,plain,
spl22_13,
inference(avatar_contradiction_clause,[],[f452]) ).
tff(f452,plain,
( $false
| spl22_13 ),
inference(subsumption_resolution,[],[f451,f191]) ).
tff(f451,plain,
( ~ aElementOf0(sK8,sbsmnsldt0(xS))
| spl22_13 ),
inference(resolution,[],[f445,f189]) ).
tff(f445,plain,
( ~ aElementOf0(sK8,sK10(sK8))
| spl22_13 ),
inference(subsumption_resolution,[],[f444,f367]) ).
tff(f444,plain,
( ~ aElementOf0(sK8,sK10(sK8))
| ~ sP1(sK10(sK8))
| spl22_13 ),
inference(resolution,[],[f418,f155]) ).
tff(f418,plain,
( ~ aInteger0(sK5(sK10(sK8),sK8))
| spl22_13 ),
inference(avatar_component_clause,[],[f416]) ).
tff(f432,plain,
( ~ spl22_13
| spl22_16 ),
inference(avatar_split_clause,[],[f412,f429,f416]) ).
tff(f412,plain,
( sP2(sK5(sK10(sK8),sK8),sK8)
| ~ aInteger0(sK5(sK10(sK8),sK8)) ),
inference(resolution,[],[f406,f282]) ).
tff(f282,plain,
! [X1: $i] :
( sQ21_eqProxy($i,sz00,X1)
| sP2(X1,sK8)
| ~ aInteger0(X1) ),
inference(equality_proxy_replacement,[],[f193,f273]) ).
tff(f193,plain,
! [X1: $i] :
( sP2(X1,sK8)
| ( sz00 = X1 )
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 16:46:40 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FD7EwcxV9d/Vampire---4.8_11360
% 0.57/0.74 % (11630)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74 % (11624)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (11626)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (11625)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74 % (11627)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74 % (11628)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (11629)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (11631)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (11624)First to succeed.
% 0.57/0.75 % (11624)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (11624)------------------------------
% 0.57/0.76 % (11624)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (11624)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (11624)Memory used [KB]: 1245
% 0.57/0.76 % (11624)Time elapsed: 0.016 s
% 0.57/0.76 % (11624)Instructions burned: 26 (million)
% 0.57/0.76 % (11624)------------------------------
% 0.57/0.76 % (11624)------------------------------
% 0.57/0.76 % (11620)Success in time 0.384 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------