%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM452+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:14 PM UTC 2026
% Result : Theorem 47.06s 7.58s
% Output : Refutation 48.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 55
% Syntax : Number of formulae : 375 ( 49 unt; 39 def)
% Number of atoms : 1319 ( 203 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1712 ( 768 ~; 801 |; 80 &)
% ( 50 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 47 ( 45 usr; 40 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 209 ( 0 sgn 201 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f34,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1)
& X1 != sz00 )
=> ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeq) ).
fof(f46,axiom,
( aInteger0(xp)
& xp != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(f47,conjecture,
( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f55,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f56,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f61,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f65,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f70,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f71]) ).
fof(f74,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(flattening,[],[f78]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(ennf_transformation,[],[f34]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f97]) ).
fof(f111,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& aInteger0(sK0(X0,X1))
& sdtasdt0(X1,sK0(X0,X1)) = X0 )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(nnf_transformation,[],[f79]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(nnf_transformation,[],[f98]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aInteger0(X3)
& sdteqdtlpzmzozddtrp0(X3,X0,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(rectify,[],[f142]) ).
fof(f144,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aInteger0(sK10(X0,X1,X2))
| ~ sdteqdtlpzmzozddtrp0(sK10(X0,X1,X2),X0,X1)
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( aInteger0(sK10(X0,X1,X2))
& sdteqdtlpzmzozddtrp0(sK10(X0,X1,X2),X0,X1) )
| aElementOf0(sK10(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1) )
& ( ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X0,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f143]) ).
fof(f152,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f154,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f155,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f157,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f158,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f161,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f165,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f166,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f170,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f171,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f177,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f179,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(cnf_transformation,[],[f116]) ).
fof(f238,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f264,plain,
sz00 != xp,
inference(cnf_transformation,[],[f46]) ).
fof(f265,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f46]) ).
fof(f266,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f272,plain,
! [X2,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(sdtasdt0(X1,X2)) ),
inference(equality_resolution,[],[f177]) ).
fof(f301,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(equality_resolution,[],[f238]) ).
fof(f311,definition,
( spl15_2
<=> aInteger0(xp) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f313,plain,
( aInteger0(xp)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f314,plain,
spl15_2,
inference(avatar_split_clause,[],[f265,f311]) ).
fof(f315,plain,
( aInteger0(smndt0(xp))
| ~ spl15_2 ),
inference(resolution,[],[f313,f153]) ).
fof(f317,plain,
( ! [X0] :
( aInteger0(sdtpldt0(X0,xp))
| ~ aInteger0(X0) )
| ~ spl15_2 ),
inference(resolution,[],[f313,f154]) ).
fof(f318,plain,
( ! [X0] :
( aInteger0(sdtasdt0(xp,X0))
| ~ aInteger0(X0) )
| ~ spl15_2 ),
inference(resolution,[],[f313,f155]) ).
fof(f324,plain,
( ! [X0] :
( sdtpldt0(xp,X0) = sdtpldt0(X0,xp)
| ~ aInteger0(X0) )
| ~ spl15_2 ),
inference(resolution,[],[f313,f157]) ).
fof(f325,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl15_2 ),
inference(resolution,[],[f313,f158]) ).
fof(f328,plain,
( sz00 = sdtpldt0(xp,smndt0(xp))
| ~ spl15_2 ),
inference(resolution,[],[f313,f161]) ).
fof(f344,plain,
( smndt0(xp) = sdtasdt0(xp,smndt0(sz10))
| ~ spl15_2 ),
inference(resolution,[],[f313,f170]) ).
fof(f387,plain,
( ! [X0] :
( aDivisorOf0(xp,sdtasdt0(xp,X0))
| sz00 = xp
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(xp,X0)) )
| ~ spl15_2 ),
inference(resolution,[],[f313,f272]) ).
fof(f399,plain,
( ! [X0,X1] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,xp))
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xp)
| ~ aInteger0(X1)
| sz00 = xp )
| ~ spl15_2 ),
inference(resolution,[],[f313,f301]) ).
fof(f407,plain,
( ! [X0,X1] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,xp))
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xp)
| ~ aInteger0(X1) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f399,f264]) ).
fof(f409,plain,
( ! [X0] :
( aDivisorOf0(xp,sdtasdt0(xp,X0))
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(xp,X0)) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f387,f264]) ).
fof(f427,plain,
( ! [X0] :
( aDivisorOf0(xp,sdtasdt0(xp,X0))
| ~ aInteger0(X0) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f409,f318]) ).
fof(f429,definition,
( spl15_3
<=> sz00 = sdtpldt0(xp,smndt0(xp)) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f431,plain,
( sz00 = sdtpldt0(xp,smndt0(xp))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,plain,
( spl15_3
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f328,f311,f429]) ).
fof(f435,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(smndt0(xp),X0))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X0) )
| ~ spl15_3 ),
inference(superposition,[],[f156,f431]) ).
fof(f439,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(smndt0(xp),X0))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X0) )
| ~ spl15_2
| ~ spl15_3 ),
inference(forward_subsumption_resolution,[],[f435,f313]) ).
fof(f441,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(smndt0(xp),X0))
| ~ aInteger0(X0) )
| ~ spl15_2
| ~ spl15_3 ),
inference(forward_subsumption_resolution,[],[f439,f315]) ).
fof(f444,definition,
( spl15_4
<=> aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f446,plain,
( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| spl15_4 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f448,definition,
( spl15_5
<=> aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f450,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| spl15_5 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,plain,
( ~ spl15_4
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f266,f448,f444]) ).
fof(f452,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| sz00 = xp
| spl15_4 ),
inference(resolution,[],[f446,f301]) ).
fof(f467,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aInteger0(xp)
| sz00 = xp
| spl15_4 ),
inference(forward_subsumption_resolution,[],[f452,f152]) ).
fof(f471,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| sz00 = xp
| ~ spl15_2
| spl15_4 ),
inference(forward_subsumption_resolution,[],[f467,f313]) ).
fof(f475,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ spl15_2
| spl15_4 ),
inference(forward_subsumption_resolution,[],[f471,f264]) ).
fof(f511,definition,
( spl15_8
<=> aInteger0(smndt0(xp)) ),
introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).
fof(f513,plain,
( aInteger0(smndt0(xp))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,plain,
( spl15_8
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f315,f311,f511]) ).
fof(f517,plain,
( ! [X0] :
( aInteger0(sdtpldt0(X0,smndt0(xp)))
| ~ aInteger0(X0) )
| ~ spl15_8 ),
inference(resolution,[],[f513,f154]) ).
fof(f522,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xp))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl15_8 ),
inference(resolution,[],[f513,f156]) ).
fof(f525,plain,
( smndt0(xp) = sdtpldt0(sz00,smndt0(xp))
| ~ spl15_8 ),
inference(resolution,[],[f513,f158]) ).
fof(f611,definition,
( spl15_10
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).
fof(f613,plain,
( sz00 != xp
| spl15_10 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f614,plain,
~ spl15_10,
inference(avatar_split_clause,[],[f264,f611]) ).
fof(f692,definition,
( spl15_13
<=> smndt0(xp) = sdtasdt0(xp,smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f694,plain,
( smndt0(xp) = sdtasdt0(xp,smndt0(sz10))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f695,plain,
( spl15_13
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f344,f311,f692]) ).
fof(f710,plain,
( ~ aInteger0(smndt0(xp))
| aDivisorOf0(xp,smndt0(xp))
| ~ aInteger0(xp)
| sz00 = xp
| ~ aInteger0(smndt0(sz10))
| ~ spl15_13 ),
inference(superposition,[],[f272,f694]) ).
fof(f711,plain,
( aDivisorOf0(xp,smndt0(xp))
| ~ aInteger0(xp)
| sz00 = xp
| ~ aInteger0(smndt0(sz10))
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f710,f153]) ).
fof(f718,plain,
( aDivisorOf0(xp,smndt0(xp))
| sz00 = xp
| ~ aInteger0(smndt0(sz10))
| ~ spl15_2
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f711,f313]) ).
fof(f720,plain,
( aDivisorOf0(xp,smndt0(xp))
| ~ aInteger0(smndt0(sz10))
| ~ spl15_2
| spl15_10
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f718,f613]) ).
fof(f728,definition,
( spl15_15
<=> sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) ),
introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).
fof(f730,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| spl15_15 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f732,definition,
( spl15_16
<=> aInteger0(sdtpldt0(sz10,smndt0(xp))) ),
introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).
fof(f733,plain,
( aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f734,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| spl15_16 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( ~ spl15_15
| ~ spl15_16
| ~ spl15_2
| spl15_4 ),
inference(avatar_split_clause,[],[f475,f444,f311,f732,f728]) ).
fof(f741,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| sz00 = xp
| spl15_15 ),
inference(resolution,[],[f730,f179]) ).
fof(f744,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| sz00 = xp
| ~ spl15_8
| spl15_15 ),
inference(forward_subsumption_resolution,[],[f741,f517]) ).
fof(f749,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ aInteger0(xp)
| sz00 = xp
| ~ spl15_8
| spl15_15 ),
inference(forward_subsumption_resolution,[],[f744,f152]) ).
fof(f754,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| sz00 = xp
| ~ spl15_2
| ~ spl15_8
| spl15_15 ),
inference(forward_subsumption_resolution,[],[f749,f313]) ).
fof(f759,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ spl15_2
| ~ spl15_8
| spl15_10
| spl15_15 ),
inference(forward_subsumption_resolution,[],[f754,f613]) ).
fof(f764,definition,
( spl15_17
<=> aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).
fof(f766,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| spl15_17 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f767,plain,
( ~ spl15_17
| ~ spl15_2
| ~ spl15_8
| spl15_10
| spl15_15 ),
inference(avatar_split_clause,[],[f759,f728,f611,f511,f311,f764]) ).
fof(f769,definition,
( spl15_18
<=> ! [X0,X1] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,xp))
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xp)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).
fof(f770,plain,
( ! [X0,X1] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,xp))
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xp)
| ~ aInteger0(X1) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f771,plain,
( spl15_18
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f407,f311,f769]) ).
fof(f872,plain,
( ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))))
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(smndt0(sz10))
| spl15_17 ),
inference(superposition,[],[f766,f157]) ).
fof(f997,plain,
( ~ aInteger0(sdtpldt0(sz10,xp))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ aInteger0(sz10)
| spl15_5
| ~ spl15_18 ),
inference(resolution,[],[f450,f770]) ).
fof(f1014,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ aInteger0(sz10)
| ~ spl15_2
| spl15_5
| ~ spl15_18 ),
inference(forward_subsumption_resolution,[],[f997,f317]) ).
fof(f1019,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ spl15_2
| spl15_5
| ~ spl15_18 ),
inference(forward_subsumption_resolution,[],[f1014,f152]) ).
fof(f1081,definition,
( spl15_23
<=> ! [X0] :
( sdtpldt0(xp,X0) = sdtpldt0(X0,xp)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_23])],[avatar_definition]) ).
fof(f1082,plain,
( ! [X0] :
( sdtpldt0(xp,X0) = sdtpldt0(X0,xp)
| ~ aInteger0(X0) )
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1083,plain,
( spl15_23
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f324,f311,f1081]) ).
fof(f1222,definition,
( spl15_29
<=> sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp) ),
introduced(definition,[new_symbols(definition,[spl15_29])],[avatar_definition]) ).
fof(f1224,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| spl15_29 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1225,plain,
( ~ spl15_29
| ~ spl15_2
| spl15_5
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f1019,f769,f448,f311,f1222]) ).
fof(f1255,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aInteger0(sdtpldt0(sz10,xp))
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| sz00 = xp
| spl15_29 ),
inference(resolution,[],[f1224,f179]) ).
fof(f1258,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| sz00 = xp
| spl15_29 ),
inference(forward_subsumption_resolution,[],[f1255,f154]) ).
fof(f1263,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aInteger0(xp)
| sz00 = xp
| spl15_29 ),
inference(forward_subsumption_resolution,[],[f1258,f152]) ).
fof(f1268,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| sz00 = xp
| ~ spl15_2
| spl15_29 ),
inference(forward_subsumption_resolution,[],[f1263,f313]) ).
fof(f1273,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ spl15_2
| spl15_10
| spl15_29 ),
inference(forward_subsumption_resolution,[],[f1268,f613]) ).
fof(f1278,definition,
( spl15_30
<=> aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) ),
introduced(definition,[new_symbols(definition,[spl15_30])],[avatar_definition]) ).
fof(f1280,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| spl15_30 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1281,plain,
( ~ spl15_30
| ~ spl15_2
| spl15_10
| spl15_29 ),
inference(avatar_split_clause,[],[f1273,f1222,f611,f311,f1278]) ).
fof(f1295,definition,
( spl15_34
<=> ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(smndt0(xp),X0))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_34])],[avatar_definition]) ).
fof(f1296,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(smndt0(xp),X0))
| ~ aInteger0(X0) )
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1297,plain,
( spl15_34
| ~ spl15_2
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f441,f429,f311,f1295]) ).
fof(f1301,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(X0,smndt0(xp)))
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X0) )
| ~ spl15_34 ),
inference(superposition,[],[f1296,f157]) ).
fof(f1307,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(X0,smndt0(xp)))
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(xp)) )
| ~ spl15_34 ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1315,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(X0,smndt0(xp)))
| ~ aInteger0(X0) )
| ~ spl15_8
| ~ spl15_34 ),
inference(forward_subsumption_resolution,[],[f1307,f513]) ).
fof(f1404,definition,
( spl15_36
<=> ! [X0] :
( aDivisorOf0(xp,sdtasdt0(xp,X0))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_36])],[avatar_definition]) ).
fof(f1405,plain,
( ! [X0] :
( aDivisorOf0(xp,sdtasdt0(xp,X0))
| ~ aInteger0(X0) )
| ~ spl15_36 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1406,plain,
( spl15_36
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f427,f311,f1404]) ).
fof(f1513,plain,
( aDivisorOf0(xp,xp)
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| ~ spl15_36 ),
inference(superposition,[],[f1405,f165]) ).
fof(f1518,plain,
( aDivisorOf0(xp,xp)
| ~ aInteger0(xp)
| ~ spl15_36 ),
inference(forward_subsumption_resolution,[],[f1513,f152]) ).
fof(f1525,plain,
( aDivisorOf0(xp,xp)
| ~ spl15_2
| ~ spl15_36 ),
inference(forward_subsumption_resolution,[],[f1518,f313]) ).
fof(f1528,definition,
( spl15_39
<=> aDivisorOf0(xp,xp) ),
introduced(definition,[new_symbols(definition,[spl15_39])],[avatar_definition]) ).
fof(f1530,plain,
( aDivisorOf0(xp,xp)
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1531,plain,
( spl15_39
| ~ spl15_2
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f1525,f1404,f311,f1528]) ).
fof(f2030,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| ~ aInteger0(sz10)
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10))
| spl15_30 ),
inference(superposition,[],[f1280,f156]) ).
fof(f2033,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10))
| spl15_30 ),
inference(forward_subsumption_resolution,[],[f2030,f152]) ).
fof(f2034,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| ~ aInteger0(smndt0(sz10))
| ~ spl15_2
| spl15_30 ),
inference(forward_subsumption_resolution,[],[f2033,f313]) ).
fof(f2321,plain,
( ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp))
| spl15_16 ),
inference(resolution,[],[f734,f154]) ).
fof(f2333,plain,
( ~ aInteger0(smndt0(xp))
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f2321,f152]) ).
fof(f2334,plain,
( $false
| ~ spl15_8
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f2333,f513]) ).
fof(f2335,plain,
( ~ spl15_8
| spl15_16 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2336,plain,
( ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))))
| ~ aInteger0(smndt0(sz10))
| ~ spl15_16
| spl15_17 ),
inference(backward_subsumption_resolution,[],[f872,f733]) ).
fof(f2348,plain,
( aInteger0(smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_16 ),
inference(resolution,[],[f733,f153]) ).
fof(f2354,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sz10,smndt0(xp))),X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl15_16 ),
inference(resolution,[],[f733,f156]) ).
fof(f2368,plain,
( sdtpldt0(sz10,smndt0(xp)) = sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10)
| ~ spl15_16 ),
inference(resolution,[],[f733,f165]) ).
fof(f2369,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl15_16 ),
inference(resolution,[],[f733,f166]) ).
fof(f2500,definition,
( spl15_54
<=> sdtpldt0(sz10,smndt0(xp)) = sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10) ),
introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition]) ).
fof(f2502,plain,
( sdtpldt0(sz10,smndt0(xp)) = sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10)
| ~ spl15_54 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f2503,plain,
( spl15_54
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f2368,f732,f2500]) ).
fof(f2667,definition,
( spl15_59
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sz10,smndt0(xp))),X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl15_59])],[avatar_definition]) ).
fof(f2668,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X1)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(sz10,smndt0(xp))),X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl15_59 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f2669,plain,
( spl15_59
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f2354,f732,f2667]) ).
fof(f2675,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0))
| ~ aInteger0(smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp))) )
| ~ spl15_59 ),
inference(superposition,[],[f2668,f160]) ).
fof(f2722,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0))
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp))) )
| ~ spl15_59 ),
inference(forward_subsumption_resolution,[],[f2675,f153]) ).
fof(f2737,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0))
| ~ aInteger0(X0) )
| ~ spl15_16
| ~ spl15_59 ),
inference(forward_subsumption_resolution,[],[f2722,f733]) ).
fof(f2823,definition,
( spl15_61
<=> aInteger0(smndt0(sdtpldt0(sz10,smndt0(xp)))) ),
introduced(definition,[new_symbols(definition,[spl15_61])],[avatar_definition]) ).
fof(f2825,plain,
( aInteger0(smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_61 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f2826,plain,
( spl15_61
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f2348,f732,f2823]) ).
fof(f3220,definition,
( spl15_72
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl15_72])],[avatar_definition]) ).
fof(f3221,plain,
( aInteger0(smndt0(sz10))
| ~ spl15_72 ),
inference(avatar_component_clause,[],[f3220]) ).
fof(f3222,plain,
( ~ aInteger0(smndt0(sz10))
| spl15_72 ),
inference(avatar_component_clause,[],[f3220]) ).
fof(f3224,definition,
( spl15_73
<=> aDivisorOf0(xp,smndt0(xp)) ),
introduced(definition,[new_symbols(definition,[spl15_73])],[avatar_definition]) ).
fof(f3226,plain,
( aDivisorOf0(xp,smndt0(xp))
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f3227,plain,
( ~ spl15_72
| spl15_73
| ~ spl15_2
| spl15_10
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f720,f692,f611,f311,f3224,f3220]) ).
fof(f3228,plain,
( ~ aInteger0(sz10)
| spl15_72 ),
inference(resolution,[],[f3222,f153]) ).
fof(f3244,plain,
( $false
| spl15_72 ),
inference(forward_subsumption_resolution,[],[f3228,f152]) ).
fof(f3245,plain,
spl15_72,
inference(avatar_contradiction_clause,[],[f3244]) ).
fof(f3263,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| ~ spl15_2
| spl15_30
| ~ spl15_72 ),
inference(backward_subsumption_resolution,[],[f2034,f3221]) ).
fof(f3264,plain,
( ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_16
| spl15_17
| ~ spl15_72 ),
inference(backward_subsumption_resolution,[],[f2336,f3221]) ).
fof(f3290,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) )
| ~ spl15_72 ),
inference(resolution,[],[f3221,f157]) ).
fof(f3291,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl15_72 ),
inference(resolution,[],[f3221,f158]) ).
fof(f3301,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl15_72 ),
inference(resolution,[],[f3221,f165]) ).
fof(f3495,definition,
( spl15_76
<=> ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_76])],[avatar_definition]) ).
fof(f3496,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0))
| ~ aInteger0(X0) )
| ~ spl15_76 ),
inference(avatar_component_clause,[],[f3495]) ).
fof(f3497,plain,
( spl15_76
| ~ spl15_16
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f2737,f2667,f732,f3495]) ).
fof(f6596,definition,
( spl15_123
<=> xp = sdtpldt0(sz00,xp) ),
introduced(definition,[new_symbols(definition,[spl15_123])],[avatar_definition]) ).
fof(f6598,plain,
( xp = sdtpldt0(sz00,xp)
| ~ spl15_123 ),
inference(avatar_component_clause,[],[f6596]) ).
fof(f6599,plain,
( spl15_123
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f325,f311,f6596]) ).
fof(f7782,definition,
( spl15_143
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xp))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl15_143])],[avatar_definition]) ).
fof(f7783,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(xp))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xp))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl15_143 ),
inference(avatar_component_clause,[],[f7782]) ).
fof(f7784,plain,
( spl15_143
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f522,f511,f7782]) ).
fof(f14637,definition,
( spl15_265
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(definition,[new_symbols(definition,[spl15_265])],[avatar_definition]) ).
fof(f14639,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl15_265 ),
inference(avatar_component_clause,[],[f14637]) ).
fof(f14640,plain,
( spl15_265
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f3301,f3220,f14637]) ).
fof(f15100,definition,
( spl15_269
<=> aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xp))))) ),
introduced(definition,[new_symbols(definition,[spl15_269])],[avatar_definition]) ).
fof(f15101,plain,
( aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xp)))))
| ~ spl15_269 ),
inference(avatar_component_clause,[],[f15100]) ).
fof(f15102,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xp)))))
| spl15_269 ),
inference(avatar_component_clause,[],[f15100]) ).
fof(f18314,definition,
( spl15_308
<=> ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(X0,smndt0(xp)))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_308])],[avatar_definition]) ).
fof(f18315,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xp,sdtpldt0(X0,smndt0(xp)))
| ~ aInteger0(X0) )
| ~ spl15_308 ),
inference(avatar_component_clause,[],[f18314]) ).
fof(f18316,plain,
( spl15_308
| ~ spl15_8
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f1315,f1295,f511,f18314]) ).
fof(f18735,definition,
( spl15_314
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_314])],[avatar_definition]) ).
fof(f18736,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0)
| ~ aInteger0(X0) )
| ~ spl15_314 ),
inference(avatar_component_clause,[],[f18735]) ).
fof(f18737,plain,
( spl15_314
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f3290,f3220,f18735]) ).
fof(f22035,definition,
( spl15_317
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[spl15_317])],[avatar_definition]) ).
fof(f22037,plain,
( aInteger0(sz10)
| ~ spl15_317 ),
inference(avatar_component_clause,[],[f22035]) ).
fof(f22038,plain,
spl15_317,
inference(avatar_split_clause,[],[f152,f22035]) ).
fof(f22379,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl15_317 ),
inference(resolution,[],[f22037,f160]) ).
fof(f22380,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl15_317 ),
inference(resolution,[],[f22037,f161]) ).
fof(f25953,definition,
( spl15_321
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl15_321])],[avatar_definition]) ).
fof(f25955,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl15_321 ),
inference(avatar_component_clause,[],[f25953]) ).
fof(f25956,plain,
( spl15_321
| ~ spl15_317 ),
inference(avatar_split_clause,[],[f22380,f22035,f25953]) ).
fof(f25967,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl15_321 ),
inference(superposition,[],[f156,f25955]) ).
fof(f25972,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl15_317
| ~ spl15_321 ),
inference(forward_subsumption_resolution,[],[f25967,f22037]) ).
fof(f25975,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl15_72
| ~ spl15_317
| ~ spl15_321 ),
inference(forward_subsumption_resolution,[],[f25972,f3221]) ).
fof(f26145,definition,
( spl15_322
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(definition,[new_symbols(definition,[spl15_322])],[avatar_definition]) ).
fof(f26147,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl15_322 ),
inference(avatar_component_clause,[],[f26145]) ).
fof(f26148,plain,
( spl15_322
| ~ spl15_317 ),
inference(avatar_split_clause,[],[f22379,f22035,f26145]) ).
fof(f26157,plain,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10)
| ~ spl15_143
| ~ spl15_322 ),
inference(superposition,[],[f7783,f26147]) ).
fof(f26162,plain,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(sz10)
| ~ spl15_72
| ~ spl15_143
| ~ spl15_322 ),
inference(forward_subsumption_resolution,[],[f26157,f3221]) ).
fof(f26164,plain,
( sdtpldt0(sz00,smndt0(xp)) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp)))
| ~ spl15_72
| ~ spl15_143
| ~ spl15_317
| ~ spl15_322 ),
inference(forward_subsumption_resolution,[],[f26162,f22037]) ).
fof(f26165,plain,
( smndt0(xp) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp)))
| ~ spl15_8
| ~ spl15_72
| ~ spl15_143
| ~ spl15_317
| ~ spl15_322 ),
inference(forward_demodulation,[],[f26164,f525]) ).
fof(f31527,definition,
( spl15_374
<=> ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_374])],[avatar_definition]) ).
fof(f31528,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl15_374 ),
inference(avatar_component_clause,[],[f31527]) ).
fof(f31529,plain,
( spl15_374
| ~ spl15_72
| ~ spl15_317
| ~ spl15_321 ),
inference(avatar_split_clause,[],[f25975,f25953,f22035,f3220,f31527]) ).
fof(f31550,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10))
| ~ spl15_23
| ~ spl15_374 ),
inference(superposition,[],[f31528,f1082]) ).
fof(f31565,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))
| ~ aInteger0(smndt0(sz10))
| ~ spl15_2
| ~ spl15_23
| ~ spl15_374 ),
inference(forward_subsumption_resolution,[],[f31550,f313]) ).
fof(f31580,plain,
( sdtpldt0(sz00,xp) = sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))
| ~ spl15_2
| ~ spl15_23
| ~ spl15_72
| ~ spl15_374 ),
inference(forward_subsumption_resolution,[],[f31565,f3221]) ).
fof(f31587,plain,
( xp = sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))
| ~ spl15_2
| ~ spl15_23
| ~ spl15_72
| ~ spl15_123
| ~ spl15_374 ),
inference(forward_demodulation,[],[f31580,f6598]) ).
fof(f42986,definition,
( spl15_521
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl15_521])],[avatar_definition]) ).
fof(f42987,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0),X1) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl15_521 ),
inference(avatar_component_clause,[],[f42986]) ).
fof(f42988,plain,
( spl15_521
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f2369,f732,f42986]) ).
fof(f43037,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X0),smndt0(X0)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),X0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X0) )
| ~ spl15_521 ),
inference(superposition,[],[f42987,f171]) ).
fof(f43038,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10),smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10)
| ~ spl15_265
| ~ spl15_521 ),
inference(superposition,[],[f42987,f14639]) ).
fof(f43137,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X0),smndt0(X0)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),X0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl15_521 ),
inference(duplicate_literal_removal,[],[f43037]) ).
fof(f43218,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10),smndt0(sz10))
| ~ aInteger0(sz10)
| ~ spl15_72
| ~ spl15_265
| ~ spl15_521 ),
inference(forward_subsumption_resolution,[],[f43038,f3221]) ).
fof(f43219,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X0),smndt0(X0)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),X0)
| ~ aInteger0(X0) )
| ~ spl15_72
| ~ spl15_521 ),
inference(forward_subsumption_resolution,[],[f43137,f3221]) ).
fof(f43294,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10),smndt0(sz10))
| ~ spl15_72
| ~ spl15_265
| ~ spl15_317
| ~ spl15_521 ),
inference(forward_subsumption_resolution,[],[f43218,f22037]) ).
fof(f43331,plain,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10)
| ~ spl15_54
| ~ spl15_72
| ~ spl15_265
| ~ spl15_317
| ~ spl15_521 ),
inference(forward_demodulation,[],[f43294,f2502]) ).
fof(f43347,definition,
( spl15_522
<=> ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X0),smndt0(X0)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),X0)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_522])],[avatar_definition]) ).
fof(f43348,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),X0),smndt0(X0)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),X0)
| ~ aInteger0(X0) )
| ~ spl15_522 ),
inference(avatar_component_clause,[],[f43347]) ).
fof(f43349,plain,
( spl15_522
| ~ spl15_72
| ~ spl15_521 ),
inference(avatar_split_clause,[],[f43219,f42986,f3220,f43347]) ).
fof(f43381,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10) = sdtpldt0(smndt0(sz10),sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ aInteger0(sz10)
| ~ aInteger0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ spl15_314
| ~ spl15_522 ),
inference(superposition,[],[f43348,f18736]) ).
fof(f43457,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10) = sdtpldt0(smndt0(sz10),sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ aInteger0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ spl15_314
| ~ spl15_317
| ~ spl15_522 ),
inference(forward_subsumption_resolution,[],[f43381,f22037]) ).
fof(f43497,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),sz10)
| ~ aInteger0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ spl15_54
| ~ spl15_314
| ~ spl15_317
| ~ spl15_522 ),
inference(forward_demodulation,[],[f43457,f2502]) ).
fof(f43512,plain,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ spl15_54
| ~ spl15_72
| ~ spl15_265
| ~ spl15_314
| ~ spl15_317
| ~ spl15_521
| ~ spl15_522 ),
inference(forward_demodulation,[],[f43497,f43331]) ).
fof(f43523,plain,
( smndt0(xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(sdtasdt0(sdtpldt0(sz10,smndt0(xp)),sz10))
| ~ spl15_8
| ~ spl15_54
| ~ spl15_72
| ~ spl15_143
| ~ spl15_265
| ~ spl15_314
| ~ spl15_317
| ~ spl15_322
| ~ spl15_521
| ~ spl15_522 ),
inference(forward_demodulation,[],[f43512,f26165]) ).
fof(f43525,plain,
( ~ aInteger0(sdtpldt0(sz10,smndt0(xp)))
| smndt0(xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ spl15_8
| ~ spl15_54
| ~ spl15_72
| ~ spl15_143
| ~ spl15_265
| ~ spl15_314
| ~ spl15_317
| ~ spl15_322
| ~ spl15_521
| ~ spl15_522 ),
inference(forward_demodulation,[],[f43523,f2502]) ).
fof(f43527,plain,
( smndt0(xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ spl15_8
| ~ spl15_16
| ~ spl15_54
| ~ spl15_72
| ~ spl15_143
| ~ spl15_265
| ~ spl15_314
| ~ spl15_317
| ~ spl15_322
| ~ spl15_521
| ~ spl15_522 ),
inference(forward_subsumption_resolution,[],[f43525,f733]) ).
fof(f43529,definition,
( spl15_523
<=> smndt0(xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl15_523])],[avatar_definition]) ).
fof(f43531,plain,
( smndt0(xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ spl15_523 ),
inference(avatar_component_clause,[],[f43529]) ).
fof(f43532,plain,
( spl15_523
| ~ spl15_8
| ~ spl15_16
| ~ spl15_54
| ~ spl15_72
| ~ spl15_143
| ~ spl15_265
| ~ spl15_314
| ~ spl15_317
| ~ spl15_322
| ~ spl15_521
| ~ spl15_522 ),
inference(avatar_split_clause,[],[f43527,f43347,f42986,f26145,f22035,f18735,f14637,f7782,f3220,f2500,f732,f511,f43529]) ).
fof(f43551,plain,
( sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),smndt0(xp)) = sdtpldt0(sz00,smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ spl15_76
| ~ spl15_523 ),
inference(superposition,[],[f3496,f43531]) ).
fof(f43583,plain,
( sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),smndt0(xp)) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl15_72
| ~ spl15_76
| ~ spl15_523 ),
inference(forward_subsumption_resolution,[],[f43551,f3221]) ).
fof(f43595,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),smndt0(xp))
| ~ spl15_72
| ~ spl15_76
| ~ spl15_523 ),
inference(forward_demodulation,[],[f43583,f3291]) ).
fof(f43964,definition,
( spl15_529
<=> smndt0(sz10) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),smndt0(xp)) ),
introduced(definition,[new_symbols(definition,[spl15_529])],[avatar_definition]) ).
fof(f43966,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xp))),smndt0(xp))
| ~ spl15_529 ),
inference(avatar_component_clause,[],[f43964]) ).
fof(f43967,plain,
( spl15_529
| ~ spl15_72
| ~ spl15_76
| ~ spl15_523 ),
inference(avatar_split_clause,[],[f43595,f43529,f3495,f3220,f43964]) ).
fof(f43987,plain,
( sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ aInteger0(smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_308
| ~ spl15_529 ),
inference(superposition,[],[f18315,f43966]) ).
fof(f44018,plain,
( sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_61
| ~ spl15_308
| ~ spl15_529 ),
inference(forward_subsumption_resolution,[],[f43987,f2825]) ).
fof(f44058,definition,
( spl15_530
<=> sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xp)))) ),
introduced(definition,[new_symbols(definition,[spl15_530])],[avatar_definition]) ).
fof(f44060,plain,
( sdtpldt0(xp,smndt0(sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_530 ),
inference(avatar_component_clause,[],[f44058]) ).
fof(f44061,plain,
( spl15_530
| ~ spl15_61
| ~ spl15_308
| ~ spl15_529 ),
inference(avatar_split_clause,[],[f44018,f43964,f18314,f2823,f44058]) ).
fof(f44084,plain,
( sdtpldt0(xp,smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(smndt0(sdtpldt0(sz10,smndt0(xp))))
| ~ spl15_530 ),
inference(superposition,[],[f158,f44060]) ).
fof(f44111,plain,
( sdtpldt0(xp,smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xp)))
| ~ spl15_61
| ~ spl15_530 ),
inference(forward_subsumption_resolution,[],[f44084,f2825]) ).
fof(f44680,definition,
( spl15_542
<=> sdtpldt0(xp,smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xp))) ),
introduced(definition,[new_symbols(definition,[spl15_542])],[avatar_definition]) ).
fof(f44682,plain,
( sdtpldt0(xp,smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xp)))
| ~ spl15_542 ),
inference(avatar_component_clause,[],[f44680]) ).
fof(f44683,plain,
( spl15_542
| ~ spl15_61
| ~ spl15_530 ),
inference(avatar_split_clause,[],[f44111,f44058,f2823,f44680]) ).
fof(f44695,plain,
( aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| ~ spl15_269
| ~ spl15_542 ),
inference(superposition,[],[f15101,f44682]) ).
fof(f44777,plain,
( $false
| ~ spl15_2
| spl15_30
| ~ spl15_72
| ~ spl15_269
| ~ spl15_542 ),
inference(forward_subsumption_resolution,[],[f44695,f3263]) ).
fof(f44778,plain,
( ~ spl15_2
| spl15_30
| ~ spl15_72
| ~ spl15_269
| ~ spl15_542 ),
inference(avatar_contradiction_clause,[],[f44777]) ).
fof(f44806,plain,
( ~ aDivisorOf0(xp,smndt0(xp))
| ~ spl15_8
| ~ spl15_16
| spl15_17
| ~ spl15_72
| ~ spl15_143
| ~ spl15_317
| ~ spl15_322 ),
inference(forward_demodulation,[],[f3264,f26165]) ).
fof(f44826,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| spl15_269
| ~ spl15_542 ),
inference(forward_demodulation,[],[f15102,f44682]) ).
fof(f44877,plain,
( $false
| ~ spl15_8
| ~ spl15_16
| spl15_17
| ~ spl15_72
| ~ spl15_73
| ~ spl15_143
| ~ spl15_317
| ~ spl15_322 ),
inference(forward_subsumption_resolution,[],[f44806,f3226]) ).
fof(f44878,plain,
( ~ spl15_8
| ~ spl15_16
| spl15_17
| ~ spl15_72
| ~ spl15_73
| ~ spl15_143
| ~ spl15_317
| ~ spl15_322 ),
inference(avatar_contradiction_clause,[],[f44877]) ).
fof(f44884,plain,
( ~ aDivisorOf0(xp,xp)
| ~ spl15_2
| ~ spl15_23
| ~ spl15_72
| ~ spl15_123
| spl15_269
| ~ spl15_374
| ~ spl15_542 ),
inference(forward_demodulation,[],[f44826,f31587]) ).
fof(f44925,plain,
( $false
| ~ spl15_2
| ~ spl15_23
| ~ spl15_39
| ~ spl15_72
| ~ spl15_123
| spl15_269
| ~ spl15_374
| ~ spl15_542 ),
inference(forward_subsumption_resolution,[],[f44884,f1530]) ).
fof(f44926,plain,
( ~ spl15_2
| ~ spl15_23
| ~ spl15_39
| ~ spl15_72
| ~ spl15_123
| spl15_269
| ~ spl15_374
| ~ spl15_542 ),
inference(avatar_contradiction_clause,[],[f44925]) ).
cnf(s2,plain,
spl15_2,
inference(sat_conversion,[],[f314]) ).
cnf(s3,plain,
( ~ spl15_2
| spl15_3 ),
inference(sat_conversion,[],[f432]) ).
cnf(s4,plain,
( ~ spl15_4
| ~ spl15_5 ),
inference(sat_conversion,[],[f451]) ).
cnf(s7,plain,
( ~ spl15_2
| spl15_8 ),
inference(sat_conversion,[],[f514]) ).
cnf(s9,plain,
~ spl15_10,
inference(sat_conversion,[],[f614]) ).
cnf(s12,plain,
( ~ spl15_2
| spl15_13 ),
inference(sat_conversion,[],[f695]) ).
cnf(s14,plain,
( ~ spl15_2
| spl15_4
| ~ spl15_15
| ~ spl15_16 ),
inference(sat_conversion,[],[f735]) ).
cnf(s15,plain,
( ~ spl15_2
| ~ spl15_8
| spl15_10
| spl15_15
| ~ spl15_17 ),
inference(sat_conversion,[],[f767]) ).
cnf(s16,plain,
( ~ spl15_2
| spl15_18 ),
inference(sat_conversion,[],[f771]) ).
cnf(s22,plain,
( ~ spl15_2
| spl15_23 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s28,plain,
( ~ spl15_2
| spl15_5
| ~ spl15_18
| ~ spl15_29 ),
inference(sat_conversion,[],[f1225]) ).
cnf(s29,plain,
( ~ spl15_2
| spl15_10
| spl15_29
| ~ spl15_30 ),
inference(sat_conversion,[],[f1281]) ).
cnf(s33,plain,
( ~ spl15_2
| ~ spl15_3
| spl15_34 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s35,plain,
( ~ spl15_2
| spl15_36 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s38,plain,
( ~ spl15_2
| ~ spl15_36
| spl15_39 ),
inference(sat_conversion,[],[f1531]) ).
cnf(s55,plain,
( ~ spl15_8
| spl15_16 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s58,plain,
( ~ spl15_16
| spl15_54 ),
inference(sat_conversion,[],[f2503]) ).
cnf(s63,plain,
( ~ spl15_16
| spl15_59 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s65,plain,
( ~ spl15_16
| spl15_61 ),
inference(sat_conversion,[],[f2826]) ).
cnf(s75,plain,
( ~ spl15_2
| spl15_10
| ~ spl15_13
| ~ spl15_72
| spl15_73 ),
inference(sat_conversion,[],[f3227]) ).
cnf(s76,plain,
spl15_72,
inference(sat_conversion,[],[f3245]) ).
cnf(s79,plain,
( ~ spl15_16
| ~ spl15_59
| spl15_76 ),
inference(sat_conversion,[],[f3497]) ).
cnf(s150,plain,
( ~ spl15_2
| spl15_123 ),
inference(sat_conversion,[],[f6599]) ).
cnf(s170,plain,
( ~ spl15_8
| spl15_143 ),
inference(sat_conversion,[],[f7784]) ).
cnf(s290,plain,
( ~ spl15_72
| spl15_265 ),
inference(sat_conversion,[],[f14640]) ).
cnf(s333,plain,
( ~ spl15_8
| ~ spl15_34
| spl15_308 ),
inference(sat_conversion,[],[f18316]) ).
cnf(s339,plain,
( ~ spl15_72
| spl15_314 ),
inference(sat_conversion,[],[f18737]) ).
cnf(s416,plain,
spl15_317,
inference(sat_conversion,[],[f22038]) ).
cnf(s539,plain,
( ~ spl15_317
| spl15_321 ),
inference(sat_conversion,[],[f25956]) ).
cnf(s540,plain,
( ~ spl15_317
| spl15_322 ),
inference(sat_conversion,[],[f26148]) ).
cnf(s599,plain,
( ~ spl15_72
| ~ spl15_317
| ~ spl15_321
| spl15_374 ),
inference(sat_conversion,[],[f31529]) ).
cnf(s777,plain,
( ~ spl15_16
| spl15_521 ),
inference(sat_conversion,[],[f42988]) ).
cnf(s778,plain,
( ~ spl15_72
| ~ spl15_521
| spl15_522 ),
inference(sat_conversion,[],[f43349]) ).
cnf(s779,plain,
( ~ spl15_8
| ~ spl15_16
| ~ spl15_54
| ~ spl15_72
| ~ spl15_143
| ~ spl15_265
| ~ spl15_314
| ~ spl15_317
| ~ spl15_322
| ~ spl15_521
| ~ spl15_522
| spl15_523 ),
inference(sat_conversion,[],[f43532]) ).
cnf(s785,plain,
( ~ spl15_72
| ~ spl15_76
| ~ spl15_523
| spl15_529 ),
inference(sat_conversion,[],[f43967]) ).
cnf(s786,plain,
( ~ spl15_61
| ~ spl15_308
| ~ spl15_529
| spl15_530 ),
inference(sat_conversion,[],[f44061]) ).
cnf(s798,plain,
( ~ spl15_61
| ~ spl15_530
| spl15_542 ),
inference(sat_conversion,[],[f44683]) ).
cnf(s799,plain,
( ~ spl15_2
| spl15_30
| ~ spl15_72
| ~ spl15_269
| ~ spl15_542 ),
inference(sat_conversion,[],[f44778]) ).
cnf(s802,plain,
( ~ spl15_8
| ~ spl15_16
| spl15_17
| ~ spl15_72
| ~ spl15_73
| ~ spl15_143
| ~ spl15_317
| ~ spl15_322 ),
inference(sat_conversion,[],[f44878]) ).
cnf(s815,plain,
( ~ spl15_2
| ~ spl15_23
| ~ spl15_39
| ~ spl15_72
| ~ spl15_123
| spl15_269
| ~ spl15_374
| ~ spl15_542 ),
inference(sat_conversion,[],[f44926]) ).
cnf(s933,plain,
spl15_322,
inference(rat,[],[s540,s416]) ).
cnf(s934,plain,
spl15_321,
inference(rat,[],[s539,s416]) ).
cnf(s938,plain,
spl15_374,
inference(rat,[],[s599,s934,s416,s76]) ).
cnf(s940,plain,
spl15_314,
inference(rat,[],[s339,s76]) ).
cnf(s943,plain,
spl15_265,
inference(rat,[],[s290,s76]) ).
cnf(s952,plain,
( ~ spl15_2
| spl15_10
| ~ spl15_13
| spl15_73 ),
inference(rat,[],[s75,s76]) ).
cnf(s975,plain,
spl15_123,
inference(rat,[],[s150,s2]) ).
cnf(s988,plain,
spl15_36,
inference(rat,[],[s35,s2]) ).
cnf(s994,plain,
spl15_23,
inference(rat,[],[s22,s2]) ).
cnf(s998,plain,
spl15_18,
inference(rat,[],[s16,s2]) ).
cnf(s999,plain,
spl15_13,
inference(rat,[],[s12,s2]) ).
cnf(s1001,plain,
spl15_8,
inference(rat,[],[s7,s2]) ).
cnf(s1003,plain,
spl15_3,
inference(rat,[],[s3,s2]) ).
cnf(s1032,plain,
spl15_39,
inference(rat,[],[s38,s2,s988]) ).
cnf(s1043,plain,
spl15_73,
inference(rat,[],[s952,s2,s9,s999]) ).
cnf(s1055,plain,
spl15_143,
inference(rat,[],[s170,s1001]) ).
cnf(s1059,plain,
spl15_16,
inference(rat,[],[s55,s1001]) ).
cnf(s1062,plain,
spl15_34,
inference(rat,[],[s33,s2,s1003]) ).
cnf(s1082,plain,
spl15_17,
inference(rat,[],[s802,s933,s416,s1055,s1043,s76,s1001,s1059]) ).
cnf(s1083,plain,
spl15_521,
inference(rat,[],[s777,s1059]) ).
cnf(s1107,plain,
spl15_61,
inference(rat,[],[s65,s1059]) ).
cnf(s1109,plain,
spl15_59,
inference(rat,[],[s63,s1059]) ).
cnf(s1114,plain,
spl15_54,
inference(rat,[],[s58,s1059]) ).
cnf(s1117,plain,
spl15_308,
inference(rat,[],[s333,s1001,s1062]) ).
cnf(s1133,plain,
spl15_15,
inference(rat,[],[s15,s1001,s2,s9,s1082]) ).
cnf(s1134,plain,
spl15_522,
inference(rat,[],[s778,s76,s1083]) ).
cnf(s1145,plain,
spl15_76,
inference(rat,[],[s79,s1059,s1109]) ).
cnf(s1153,plain,
spl15_523,
inference(rat,[],[s779,s1083,s1134,s1059,s933,s416,s940,s943,s1055,s76,s1001,s1114]) ).
cnf(s1174,plain,
spl15_4,
inference(rat,[],[s14,s1059,s2,s1133]) ).
cnf(s1182,plain,
spl15_529,
inference(rat,[],[s785,s1145,s76,s1153]) ).
cnf(s1206,plain,
~ spl15_5,
inference(rat,[],[s4,s1174]) ).
cnf(s1209,plain,
spl15_530,
inference(rat,[],[s786,s1117,s1107,s1182]) ).
cnf(s1235,plain,
~ spl15_29,
inference(rat,[],[s28,s998,s2,s1206]) ).
cnf(s1237,plain,
spl15_542,
inference(rat,[],[s798,s1107,s1209]) ).
cnf(s1255,plain,
~ spl15_30,
inference(rat,[],[s29,s2,s9,s1235]) ).
cnf(s1259,plain,
spl15_269,
inference(rat,[],[s815,s1032,s938,s994,s975,s76,s2,s1237]) ).
cnf(s1286,plain,
$false,
inference(rat,[],[s799,s1237,s2,s76,s1259,s1255]) ).
fof(f46299,plain,
$false,
inference(avatar_sat_refutation,[],[s1286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM452+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 19:59:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.73/2.50 % (2720111)Detected formulas, will run a generic FOF schedule.
% 11.73/2.50 % (2720119)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=308121638:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.73/2.50 % (2720119)Refutation not found, incomplete strategy
% 11.73/2.50 % (2720119)------------------------------
% 11.73/2.50 % (2720119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.50 % (2720119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.50 % (2720119)CaDiCaL version: 2.1.3
% 11.73/2.50 % (2720119)Termination reason: Refutation not found, incomplete strategy
% 11.73/2.50 % (2720119)Time elapsed: 0.003 s
% 11.73/2.50 % (2720119)Peak memory usage: 89 MB
% 11.73/2.50 % (2720119)Instructions burned: 6 (million)
% 11.73/2.50 % (2720118)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=237162517:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.73/2.50 % (2720122)dis-21_1_sil=8000:lcm=predicate:random_seed=591234351:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.73/2.50 % (2720120)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2257513138:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.73/2.50 % (2720117)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2998928106:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.73/2.50 % (2720116)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=988582912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.73/2.50 % (2720121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2782689767:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.73/2.50 % (2720120)Instruction limit reached!
% 11.73/2.50 % (2720120)------------------------------
% 11.73/2.50 % (2720120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.50 % (2720120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.50 % (2720120)CaDiCaL version: 2.1.3
% 11.73/2.50 % (2720120)Termination reason: Instruction limit
% 11.73/2.50 % (2720120)Termination phase: Saturation
% 11.73/2.50 % (2720120)Time elapsed: 0.073 s
% 11.73/2.50 % (2720120)Peak memory usage: 88 MB
% 11.73/2.50 % (2720120)Instructions burned: 121 (million)
% 11.73/2.50 % (2720122)Instruction limit reached!
% 11.73/2.50 % (2720122)------------------------------
% 11.73/2.50 % (2720122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.50 % (2720122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.50 % (2720122)CaDiCaL version: 2.1.3
% 11.73/2.50 % (2720122)Termination reason: Instruction limit
% 11.73/2.50 % (2720122)Termination phase: Saturation
% 11.73/2.50 % (2720122)Time elapsed: 0.083 s
% 11.73/2.50 % (2720122)Peak memory usage: 89 MB
% 11.73/2.50 % (2720122)Instructions burned: 129 (million)
% 11.73/2.50 % (2720121)Instruction limit reached!
% 11.73/2.50 % (2720121)------------------------------
% 11.73/2.50 % (2720121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.50 % (2720121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.50 % (2720121)CaDiCaL version: 2.1.3
% 11.73/2.50 % (2720121)Termination reason: Instruction limit
% 11.73/2.50 % (2720121)Termination phase: Saturation
% 11.73/2.50 % (2720121)Time elapsed: 0.087 s
% 11.73/2.50 % (2720121)Peak memory usage: 90 MB
% 11.73/2.50 % (2720121)Instructions burned: 139 (million)
% 11.73/2.50 % (2720119)------------------------------
% 11.73/2.50 % (2720119)------------------------------
% 11.73/2.50 % (2720130)lrs+10_1_sil=8000:sp=occurrence:random_seed=3189808655:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.73/2.50 % (2720133)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=140612222:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.73/2.50 % (2720131)lrs+10_1_sil=32000:urr=on:br=off:random_seed=167912517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.73/2.50 % (2720132)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1445482330:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.11/3.63 % (2720133)Instruction limit reached!
% 19.11/3.63 % (2720133)------------------------------
% 19.11/3.63 % (2720133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.63 % (2720133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.63 % (2720133)CaDiCaL version: 2.1.3
% 19.11/3.63 % (2720133)Termination reason: Instruction limit
% 19.11/3.63 % (2720133)Termination phase: Saturation
% 19.11/3.63 % (2720133)Time elapsed: 0.063 s
% 19.11/3.63 % (2720133)Peak memory usage: 94 MB
% 19.11/3.63 % (2720133)Instructions burned: 250 (million)
% 19.11/3.63 % (2720131)Instruction limit reached!
% 19.11/3.63 % (2720131)------------------------------
% 19.11/3.63 % (2720131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.63 % (2720131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.63 % (2720131)CaDiCaL version: 2.1.3
% 19.11/3.63 % (2720131)Termination reason: Instruction limit
% 19.11/3.63 % (2720131)Termination phase: Saturation
% 19.11/3.63 % (2720131)Time elapsed: 0.074 s
% 19.11/3.63 % (2720131)Peak memory usage: 92 MB
% 19.11/3.63 % (2720131)Instructions burned: 159 (million)
% 19.11/3.63 % (2720130)Instruction limit reached!
% 19.11/3.63 % (2720130)------------------------------
% 19.11/3.63 % (2720130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.63 % (2720130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.63 % (2720130)CaDiCaL version: 2.1.3
% 19.11/3.63 % (2720130)Termination reason: Instruction limit
% 19.11/3.63 % (2720130)Termination phase: Saturation
% 19.11/3.63 % (2720130)Time elapsed: 0.173 s
% 19.11/3.63 % (2720130)Peak memory usage: 93 MB
% 19.11/3.63 % (2720130)Instructions burned: 285 (million)
% 19.11/3.63 % (2720138)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2657497936:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.11/3.63 % (2720132)Instruction limit reached!
% 19.11/3.63 % (2720132)------------------------------
% 19.11/3.63 % (2720132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.63 % (2720132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.63 % (2720132)CaDiCaL version: 2.1.3
% 19.11/3.63 % (2720132)Termination reason: Instruction limit
% 19.11/3.63 % (2720132)Termination phase: Saturation
% 19.11/3.63 % (2720132)Time elapsed: 0.201 s
% 19.11/3.63 % (2720132)Peak memory usage: 91 MB
% 19.11/3.63 % (2720132)Instructions burned: 325 (million)
% 19.11/3.63 % (2720139)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2885128131:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 19.11/3.63 % (2720138)Instruction limit reached!
% 19.11/3.63 % (2720138)------------------------------
% 19.11/3.63 % (2720138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.63 % (2720138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.63 % (2720138)CaDiCaL version: 2.1.3
% 19.11/3.63 % (2720138)Termination reason: Instruction limit
% 19.11/3.63 % (2720138)Termination phase: Saturation
% 19.11/3.63 % (2720138)Time elapsed: 0.095 s
% 19.11/3.63 % (2720138)Peak memory usage: 90 MB
% 19.11/3.63 % (2720138)Instructions burned: 294 (million)
% 19.11/3.63 % (2720140)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3225539792:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.11/3.63 % (2720142)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3744325411:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.11/3.63 % (2720144)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3735349143:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 19.11/3.63 % (2720140)Instruction limit reached!
% 19.11/3.63 % (2720140)------------------------------
% 19.11/3.63 % (2720140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.63 % (2720140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.63 % (2720140)CaDiCaL version: 2.1.3
% 19.11/3.63 % (2720140)Termination reason: Instruction limit
% 19.11/3.63 % (2720140)Termination phase: Saturation
% 19.11/3.63 % (2720140)Time elapsed: 0.077 s
% 19.11/3.63 % (2720140)Peak memory usage: 90 MB
% 19.11/3.63 % (2720140)Instructions burned: 114 (million)
% 19.11/3.63 % (2720144)Instruction limit reached!
% 19.11/3.63 % (2720144)------------------------------
% 19.11/3.63 % (2720144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.83/6.76 % (2720144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.83/6.76 % (2720144)CaDiCaL version: 2.1.3
% 41.83/6.76 % (2720144)Termination reason: Instruction limit
% 41.83/6.76 % (2720144)Termination phase: Saturation
% 41.83/6.76 % (2720144)Time elapsed: 0.035 s
% 41.83/6.76 % (2720144)Peak memory usage: 89 MB
% 41.83/6.76 % (2720144)Instructions burned: 117 (million)
% 41.83/6.76 % (2720142)Instruction limit reached!
% 41.83/6.76 % (2720142)------------------------------
% 41.83/6.76 % (2720142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.83/6.76 % (2720142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.83/6.76 % (2720142)CaDiCaL version: 2.1.3
% 41.83/6.76 % (2720142)Termination reason: Instruction limit
% 41.83/6.76 % (2720142)Termination phase: Saturation
% 41.83/6.76 % (2720142)Time elapsed: 0.064 s
% 41.83/6.76 % (2720142)Peak memory usage: 89 MB
% 41.83/6.76 % (2720142)Instructions burned: 127 (million)
% 41.83/6.76 % (2720148)lrs+10_1_sil=8000:sp=occurrence:random_seed=2008927137:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 41.83/6.76 % (2720149)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1814399807:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 41.83/6.76 % (2720150)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2594571658:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 41.83/6.76 % (2720149)Instruction limit reached!
% 41.83/6.76 % (2720149)------------------------------
% 41.83/6.76 % (2720149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.83/6.76 % (2720149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.83/6.76 % (2720149)CaDiCaL version: 2.1.3
% 41.83/6.76 % (2720149)Termination reason: Instruction limit
% 41.83/6.76 % (2720149)Termination phase: Saturation
% 41.83/6.76 % (2720149)Time elapsed: 0.134 s
% 41.83/6.76 % (2720149)Peak memory usage: 90 MB
% 41.83/6.76 % (2720149)Instructions burned: 440 (million)
% 41.83/6.76 % (2720154)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=767589853:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 41.83/6.76 % (2720154)Instruction limit reached!
% 41.83/6.76 % (2720154)------------------------------
% 41.83/6.76 % (2720154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.83/6.76 % (2720154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.83/6.76 % (2720154)CaDiCaL version: 2.1.3
% 41.83/6.76 % (2720154)Termination reason: Instruction limit
% 41.83/6.76 % (2720154)Termination phase: Saturation
% 41.83/6.76 % (2720154)Time elapsed: 0.034 s
% 41.83/6.76 % (2720154)Peak memory usage: 91 MB
% 41.83/6.76 % (2720154)Instructions burned: 136 (million)
% 41.83/6.76 % (2720156)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=755915724:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 41.83/6.76 % (2720148)Instruction limit reached!
% 41.83/6.76 % (2720148)------------------------------
% 41.83/6.76 % (2720148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.83/6.76 % (2720148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.83/6.76 % (2720148)CaDiCaL version: 2.1.3
% 41.83/6.76 % (2720148)Termination reason: Instruction limit
% 41.83/6.76 % (2720148)Termination phase: Saturation
% 41.83/6.76 % (2720148)Time elapsed: 0.524 s
% 41.83/6.76 % (2720148)Peak memory usage: 101 MB
% 41.83/6.76 % (2720148)Instructions burned: 909 (million)
% 41.83/6.76 % (2720156)Instruction limit reached!
% 41.83/6.76 % (2720156)------------------------------
% 41.83/6.76 % (2720156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.83/6.76 % (2720156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.83/6.76 % (2720156)CaDiCaL version: 2.1.3
% 41.83/6.76 % (2720156)Termination reason: Instruction limit
% 41.83/6.76 % (2720156)Termination phase: Saturation
% 41.83/6.76 % (2720156)Time elapsed: 0.144 s
% 41.83/6.76 % (2720156)Peak memory usage: 90 MB
% 41.83/6.76 % (2720156)Instructions burned: 595 (million)
% 41.83/6.76 % (2720158)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3986446112:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 41.83/6.76 % (2720159)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=614700188:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 47.06/7.58 % (2720159)Instruction limit reached!
% 47.06/7.58 % (2720159)------------------------------
% 47.06/7.58 % (2720159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720159)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720159)Termination reason: Instruction limit
% 47.06/7.58 % (2720159)Termination phase: Saturation
% 47.06/7.58 % (2720159)Time elapsed: 0.071 s
% 47.06/7.58 % (2720159)Peak memory usage: 91 MB
% 47.06/7.58 % (2720159)Instructions burned: 126 (million)
% 47.06/7.58 % (2720162)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1417065902:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 47.06/7.58 % (2720162)Instruction limit reached!
% 47.06/7.58 % (2720162)------------------------------
% 47.06/7.58 % (2720162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720162)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720162)Termination reason: Instruction limit
% 47.06/7.58 % (2720162)Termination phase: Saturation
% 47.06/7.58 % (2720162)Time elapsed: 0.079 s
% 47.06/7.58 % (2720162)Peak memory usage: 90 MB
% 47.06/7.58 % (2720162)Instructions burned: 135 (million)
% 47.06/7.58 % (2720139)Instruction limit reached!
% 47.06/7.58 % (2720139)------------------------------
% 47.06/7.58 % (2720139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720139)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720139)Termination reason: Instruction limit
% 47.06/7.58 % (2720139)Termination phase: Saturation
% 47.06/7.58 % (2720139)Time elapsed: 1.476 s
% 47.06/7.58 % (2720139)Peak memory usage: 144 MB
% 47.06/7.58 % (2720139)Instructions burned: 2350 (million)
% 47.06/7.58 % (2720164)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3266892795:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 47.06/7.58 % (2720164)Instruction limit reached!
% 47.06/7.58 % (2720164)------------------------------
% 47.06/7.58 % (2720164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720164)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720164)Termination reason: Instruction limit
% 47.06/7.58 % (2720164)Termination phase: Saturation
% 47.06/7.58 % (2720164)Time elapsed: 0.074 s
% 47.06/7.58 % (2720164)Peak memory usage: 91 MB
% 47.06/7.58 % (2720164)Instructions burned: 141 (million)
% 47.06/7.58 % (2720165)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=92132940:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 47.06/7.58 % (2720165)Refutation not found, incomplete strategy
% 47.06/7.58 % (2720165)------------------------------
% 47.06/7.58 % (2720165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720165)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720165)Termination reason: Refutation not found, incomplete strategy
% 47.06/7.58 % (2720165)Time elapsed: 0.009 s
% 47.06/7.58 % (2720165)Peak memory usage: 88 MB
% 47.06/7.58 % (2720165)Instructions burned: 13 (million)
% 47.06/7.58 % (2720167)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3392212831:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 47.06/7.58 % (2720165)------------------------------
% 47.06/7.58 % (2720165)------------------------------
% 47.06/7.58 % (2720170)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3687053743:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 47.06/7.58 % (2720170)Instruction limit reached!
% 47.06/7.58 % (2720170)------------------------------
% 47.06/7.58 % (2720170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720170)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720170)Termination reason: Instruction limit
% 47.06/7.58 % (2720170)Termination phase: Saturation
% 47.06/7.58 % (2720170)Time elapsed: 0.084 s
% 47.06/7.58 % (2720170)Peak memory usage: 92 MB
% 47.06/7.58 % (2720170)Instructions burned: 150 (million)
% 47.06/7.58 % (2720150)Instruction limit reached!
% 47.06/7.58 % (2720150)------------------------------
% 47.06/7.58 % (2720150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720150)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720150)Termination reason: Instruction limit
% 47.06/7.58 % (2720150)Termination phase: Saturation
% 47.06/7.58 % (2720150)Time elapsed: 1.913 s
% 47.06/7.58 % (2720150)Peak memory usage: 168 MB
% 47.06/7.58 % (2720150)Instructions burned: 5206 (million)
% 47.06/7.58 % (2720172)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2024573757:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 47.06/7.58 % (2720173)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=289016741:i=667:av=off:fsr=off_2970 on theBenchmark for (2970ds/667Mi)
% 47.06/7.58 % (2720173)Instruction limit reached!
% 47.06/7.58 % (2720173)------------------------------
% 47.06/7.58 % (2720173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720173)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720173)Termination reason: Instruction limit
% 47.06/7.58 % (2720173)Termination phase: Saturation
% 47.06/7.58 % (2720173)Time elapsed: 0.152 s
% 47.06/7.58 % (2720173)Peak memory usage: 97 MB
% 47.06/7.58 % (2720173)Instructions burned: 676 (million)
% 47.06/7.58 % (2720176)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=128028822:s2a=on:i=185:s2at=1.8:fdi=4_2968 on theBenchmark for (2968ds/185Mi)
% 47.06/7.58 % (2720176)Instruction limit reached!
% 47.06/7.58 % (2720176)------------------------------
% 47.06/7.58 % (2720176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720176)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720176)Termination reason: Instruction limit
% 47.06/7.58 % (2720176)Termination phase: Saturation
% 47.06/7.58 % (2720176)Time elapsed: 0.057 s
% 47.06/7.58 % (2720176)Peak memory usage: 93 MB
% 47.06/7.58 % (2720176)Instructions burned: 186 (million)
% 47.06/7.58 % (2720178)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=76329041:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2966 on theBenchmark for (2966ds/193Mi)
% 47.06/7.58 % (2720178)Instruction limit reached!
% 47.06/7.58 % (2720178)------------------------------
% 47.06/7.58 % (2720178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720178)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720178)Termination reason: Instruction limit
% 47.06/7.58 % (2720178)Termination phase: Saturation
% 47.06/7.58 % (2720178)Time elapsed: 0.051 s
% 47.06/7.58 % (2720178)Peak memory usage: 89 MB
% 47.06/7.58 % (2720178)Instructions burned: 194 (million)
% 47.06/7.58 % (2720180)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=299972206:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2964 on theBenchmark for (2964ds/4850Mi)
% 47.06/7.58 % (2720180)Instruction limit reached!
% 47.06/7.58 % (2720180)------------------------------
% 47.06/7.58 % (2720180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720180)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720180)Termination reason: Instruction limit
% 47.06/7.58 % (2720180)Termination phase: Saturation
% 47.06/7.58 % (2720180)Time elapsed: 1.407 s
% 47.06/7.58 % (2720180)Peak memory usage: 127 MB
% 47.06/7.58 % (2720180)Instructions burned: 4854 (million)
% 47.06/7.58 % (2720182)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2213687442:i=12111:sd=1:ss=included_2949 on theBenchmark for (2949ds/12111Mi)
% 47.06/7.58 % (2720167)Instruction limit reached!
% 47.06/7.58 % (2720167)------------------------------
% 47.06/7.58 % (2720167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720167)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720167)Termination reason: Instruction limit
% 47.06/7.58 % (2720167)Termination phase: Saturation
% 47.06/7.58 % (2720167)Time elapsed: 3.542 s
% 47.06/7.58 % (2720167)Peak memory usage: 176 MB
% 47.06/7.58 % (2720167)Instructions burned: 6063 (million)
% 47.06/7.58 % (2720184)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=611191580:i=319:kws=precedence:fsr=off_2940 on theBenchmark for (2940ds/319Mi)
% 47.06/7.58 % (2720184)Instruction limit reached!
% 47.06/7.58 % (2720184)------------------------------
% 47.06/7.58 % (2720184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.06/7.58 % (2720184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.06/7.58 % (2720184)CaDiCaL version: 2.1.3
% 47.06/7.58 % (2720184)Termination reason: Instruction limit
% 47.06/7.58 % (2720184)Termination phase: Saturation
% 47.06/7.58 % (2720184)Time elapsed: 0.194 s
% 47.06/7.58 % (2720184)Peak memory usage: 90 MB
% 47.06/7.58 % (2720184)Instructions burned: 319 (million)
% 47.06/7.58 % (2720118)First to succeed.
% 47.06/7.58 % (2720118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2720111"
% 47.06/7.58 % (2720186)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2977426890:i=2064:ep=RST_2937 on theBenchmark for (2937ds/2064Mi)
% 47.06/7.58 % (2720118)Refutation found. Thanks to Tanya!
% 47.06/7.58 % SZS status Theorem for theBenchmark
% 47.06/7.58 % SZS output start Proof for theBenchmark
% See solution above
% 48.07/7.79 % (2720118)------------------------------
% 48.07/7.79 % (2720118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.07/7.79 % (2720118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.07/7.79 % (2720118)CaDiCaL version: 2.1.3
% 48.07/7.79 % (2720118)Termination reason: Refutation
% 48.07/7.79 % (2720118)Time elapsed: 6.173 s
% 48.07/7.79 % (2720118)Peak memory usage: 197 MB
% 48.07/7.79 % (2720118)Instructions burned: 9656 (million)
% 48.07/7.79 % (2720118)------------------------------
% 48.07/7.79 % (2720118)------------------------------
% 48.07/7.79 % (2720111)Success in time 6.731 s
% 48.07/7.79 % Vampire exiting
%------------------------------------------------------------------------------