%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM433+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 : n007.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 12:15:09 PM UTC 2026
% Result : Theorem 18.43s 3.46s
% Output : Refutation 19.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 17
% Syntax : Number of formulae : 142 ( 19 unt; 5 def)
% Number of atoms : 584 ( 118 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 763 ( 321 ~; 378 |; 42 &)
% ( 10 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 188 ( 0 sgn 183 !; 5 ?)
% 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(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
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(f23,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xp)
& xp != sz00
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__979) ).
fof(f24,conjecture,
( sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
=> ( sdteqdtlpzmzozddtrp0(xa,xb,xp)
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
=> ( sdteqdtlpzmzozddtrp0(xa,xb,xp)
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f27,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xq) )
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f34,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(f35,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f38,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f37]) ).
fof(f45,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f47,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f57,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f57]) ).
fof(f59,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,[],[f35]) ).
fof(f60,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,[],[f36]) ).
fof(f61,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,[],[f60]) ).
fof(f62,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,[],[f61]) ).
fof(f63,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))],[f62]) ).
fof(f64,plain,
sz00 != xq,
inference(cnf_transformation,[],[f23]) ).
fof(f65,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f23]) ).
fof(f66,plain,
sz00 != xp,
inference(cnf_transformation,[],[f23]) ).
fof(f67,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f23]) ).
fof(f68,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f23]) ).
fof(f69,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f23]) ).
fof(f70,plain,
sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
inference(cnf_transformation,[],[f27]) ).
fof(f71,plain,
( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(cnf_transformation,[],[f27]) ).
fof(f75,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f77,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f78,plain,
! [X0,X1] :
( aInteger0(sK0(X0,X1))
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f81,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f82,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f95,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f97,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f98,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f99,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f102,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f103,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
! [X2,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(sdtasdt0(X1,X2)) ),
inference(equality_resolution,[],[f81]) ).
fof(f106,plain,
! [X2,X1] :
( aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2) ),
inference(forward_subsumption_resolution,[],[f104,f98]) ).
fof(f108,definition,
( spl1_1
<=> sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f110,plain,
( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| spl1_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f112,definition,
( spl1_2
<=> sdteqdtlpzmzozddtrp0(xa,xb,xp) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f114,plain,
( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
| spl1_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f71,f112,f108]) ).
fof(f167,plain,
! [X0,X1] :
( aDivisorOf0(X1,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(superposition,[],[f106,f96]) ).
fof(f168,plain,
! [X0,X1] :
( aDivisorOf0(X1,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X0) ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f198,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK0(X0,X1),X2))
| ~ aInteger0(X1)
| ~ aInteger0(sK0(X0,X1))
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(superposition,[],[f97,f77]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK0(X0,X1),X2))
| ~ aInteger0(sK0(X0,X1))
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f198,f80]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK0(X0,X1),X2))
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f229,f78]) ).
fof(f313,plain,
! [X0] :
( aDivisorOf0(X0,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(sz10)
| ~ aInteger0(X0) ),
inference(superposition,[],[f106,f95]) ).
fof(f315,plain,
! [X0] :
( aDivisorOf0(X0,X0)
| ~ aInteger0(X0)
| sz00 = X0
| ~ aInteger0(sz10) ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f324,plain,
! [X0] :
( aDivisorOf0(X0,X0)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f315,f103]) ).
fof(f349,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtasdt0(X0,X1))
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(sdtasdt0(sK0(X0,X2),X1))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(superposition,[],[f106,f230]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ aInteger0(sdtasdt0(sK0(X0,X2),X1))
| sz00 = X2
| aDivisorOf0(X2,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f349,f80]) ).
fof(f7404,plain,
! [X2,X0,X1] :
( sz00 = X0
| aDivisorOf0(X0,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aDivisorOf0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sK0(X1,X0))
| ~ aInteger0(X2) ),
inference(resolution,[],[f353,f98]) ).
fof(f7424,plain,
! [X2,X0,X1] :
( sz00 = X0
| aDivisorOf0(X0,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aDivisorOf0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(sK0(X1,X0)) ),
inference(duplicate_literal_removal,[],[f7404]) ).
fof(f7437,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtasdt0(X1,X2))
| sz00 = X0
| ~ aInteger0(X2)
| ~ aDivisorOf0(X0,X1)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f7424,f78]) ).
fof(f7458,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(sK0(X0,X2))
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(superposition,[],[f7437,f77]) ).
fof(f7487,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aInteger0(sK0(X0,X2))
| ~ aDivisorOf0(X1,X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f7458,f80]) ).
fof(f7501,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| sz00 = X1
| ~ aDivisorOf0(X1,X2)
| ~ aDivisorOf0(X2,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f7487,f78]) ).
fof(f7510,plain,
! [X2,X3,X0,X1] :
( sz00 = X0
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(sdtpldt0(X2,smndt0(X3)))
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(resolution,[],[f7501,f76]) ).
fof(f7512,plain,
! [X2,X0,X1] :
( sz00 = X0
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2)
| aInteger0(X0)
| ~ aInteger0(X2) ),
inference(resolution,[],[f7501,f80]) ).
fof(f7515,plain,
! [X2,X0,X1] :
( sz00 = X0
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2)
| aInteger0(X0) ),
inference(duplicate_literal_removal,[],[f7512]) ).
fof(f7517,plain,
! [X2,X3,X0,X1] :
( sz00 = X0
| ~ aDivisorOf0(X0,X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(sdtpldt0(X2,smndt0(X3)))
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X0) ),
inference(duplicate_literal_removal,[],[f7510]) ).
fof(f7519,plain,
! [X2,X3,X0,X1] :
( ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aDivisorOf0(X0,X1)
| sz00 = X0
| ~ aInteger0(sdtpldt0(X2,smndt0(X3)))
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(forward_subsumption_resolution,[],[f7517,f7515]) ).
fof(f7520,plain,
! [X2,X3,X0,X1] :
( ~ aDivisorOf0(X0,X1)
| sz00 = X0
| ~ aInteger0(sdtpldt0(X2,smndt0(X3)))
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(resolution,[],[f7519,f75]) ).
fof(f7547,plain,
! [X2,X3,X0,X1] :
( ~ aInteger0(sdtpldt0(X2,smndt0(X3)))
| sz00 = X0
| ~ aDivisorOf0(X0,X1)
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(duplicate_literal_removal,[],[f7520]) ).
fof(f7569,plain,
! [X2,X3,X0,X1] :
( sz00 = X0
| ~ aDivisorOf0(X0,X1)
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(smndt0(X3)) ),
inference(resolution,[],[f7547,f102]) ).
fof(f7587,plain,
! [X2,X3,X0,X1] :
( sz00 = X0
| ~ aDivisorOf0(X0,X1)
| sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(smndt0(X3)) ),
inference(duplicate_literal_removal,[],[f7569]) ).
fof(f7599,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X2,X3,X0)
| ~ aDivisorOf0(X0,X1)
| sz00 = X0
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(forward_subsumption_resolution,[],[f7587,f99]) ).
fof(f7704,plain,
( ! [X0] :
( ~ aDivisorOf0(xq,X0)
| sz00 = xq
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_1 ),
inference(resolution,[],[f7599,f110]) ).
fof(f7807,plain,
( ! [X0] :
( ~ aDivisorOf0(xq,X0)
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f7704,f64]) ).
fof(f7911,plain,
( ! [X0] :
( ~ aDivisorOf0(xq,X0)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f7807,f69]) ).
fof(f8010,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aDivisorOf0(xq,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f7911,f68]) ).
fof(f8031,plain,
( ~ aDivisorOf0(xq,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(xp,xq))
| sz00 = sdtasdt0(xp,xq)
| spl1_1 ),
inference(resolution,[],[f8010,f70]) ).
fof(f8046,definition,
( spl1_52
<=> sz00 = sdtasdt0(xp,xq) ),
introduced(definition,[new_symbols(definition,[spl1_52])],[avatar_definition]) ).
fof(f8047,plain,
( sz00 != sdtasdt0(xp,xq)
| spl1_52 ),
inference(avatar_component_clause,[],[f8046]) ).
fof(f8048,plain,
( sz00 = sdtasdt0(xp,xq)
| ~ spl1_52 ),
inference(avatar_component_clause,[],[f8046]) ).
fof(f8050,definition,
( spl1_53
<=> aInteger0(sdtasdt0(xp,xq)) ),
introduced(definition,[new_symbols(definition,[spl1_53])],[avatar_definition]) ).
fof(f8051,plain,
( aInteger0(sdtasdt0(xp,xq))
| ~ spl1_53 ),
inference(avatar_component_clause,[],[f8050]) ).
fof(f8052,plain,
( ~ aInteger0(sdtasdt0(xp,xq))
| spl1_53 ),
inference(avatar_component_clause,[],[f8050]) ).
fof(f8054,definition,
( spl1_54
<=> aDivisorOf0(xq,sdtasdt0(xp,xq)) ),
introduced(definition,[new_symbols(definition,[spl1_54])],[avatar_definition]) ).
fof(f8056,plain,
( ~ aDivisorOf0(xq,sdtasdt0(xp,xq))
| spl1_54 ),
inference(avatar_component_clause,[],[f8054]) ).
fof(f8057,plain,
( spl1_52
| ~ spl1_53
| ~ spl1_54
| spl1_1 ),
inference(avatar_split_clause,[],[f8031,f108,f8054,f8050,f8046]) ).
fof(f8076,plain,
( ~ aInteger0(xp)
| ~ aInteger0(xq)
| spl1_53 ),
inference(resolution,[],[f8052,f98]) ).
fof(f8077,plain,
( ~ aInteger0(xq)
| spl1_53 ),
inference(forward_subsumption_resolution,[],[f8076,f67]) ).
fof(f8078,plain,
( $false
| spl1_53 ),
inference(forward_subsumption_resolution,[],[f8077,f65]) ).
fof(f8079,plain,
spl1_53,
inference(avatar_contradiction_clause,[],[f8078]) ).
fof(f8083,plain,
( ~ aInteger0(xq)
| sz00 = xq
| ~ aInteger0(xp)
| spl1_54 ),
inference(resolution,[],[f8056,f168]) ).
fof(f8091,plain,
( sz00 = xq
| ~ aInteger0(xp)
| spl1_54 ),
inference(forward_subsumption_resolution,[],[f8083,f65]) ).
fof(f8094,plain,
( ~ aInteger0(xp)
| spl1_54 ),
inference(forward_subsumption_resolution,[],[f8091,f64]) ).
fof(f8104,plain,
( $false
| spl1_54 ),
inference(forward_subsumption_resolution,[],[f8094,f67]) ).
fof(f8105,plain,
spl1_54,
inference(avatar_contradiction_clause,[],[f8104]) ).
fof(f8108,plain,
( sz00 != sz00
| sz00 = xq
| sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(xq)
| ~ spl1_52 ),
inference(superposition,[],[f82,f8048]) ).
fof(f8130,plain,
( sz00 = xq
| sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(xq)
| ~ spl1_52 ),
inference(trivial_inequality_removal,[],[f8108]) ).
fof(f8143,plain,
( sz00 = xp
| ~ aInteger0(xp)
| ~ aInteger0(xq)
| ~ spl1_52 ),
inference(forward_subsumption_resolution,[],[f8130,f64]) ).
fof(f8156,plain,
( ~ aInteger0(xp)
| ~ aInteger0(xq)
| ~ spl1_52 ),
inference(forward_subsumption_resolution,[],[f8143,f66]) ).
fof(f8163,plain,
( ~ aInteger0(xq)
| ~ spl1_52 ),
inference(forward_subsumption_resolution,[],[f8156,f67]) ).
fof(f8164,plain,
( $false
| ~ spl1_52 ),
inference(forward_subsumption_resolution,[],[f8163,f65]) ).
fof(f8165,plain,
~ spl1_52,
inference(avatar_contradiction_clause,[],[f8164]) ).
fof(f8166,plain,
( ! [X0] :
( ~ aDivisorOf0(xp,X0)
| sz00 = xp
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_2 ),
inference(resolution,[],[f114,f7599]) ).
fof(f8170,plain,
( ! [X0] :
( ~ aDivisorOf0(xp,X0)
| ~ aInteger0(xa)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f8166,f66]) ).
fof(f8172,plain,
( ! [X0] :
( ~ aDivisorOf0(xp,X0)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f8170,f69]) ).
fof(f8174,plain,
( ! [X0] :
( ~ sdteqdtlpzmzozddtrp0(xa,xb,X0)
| ~ aDivisorOf0(xp,X0)
| ~ aInteger0(X0)
| sz00 = X0 )
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f8172,f68]) ).
fof(f8290,plain,
( ~ aDivisorOf0(xp,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(xp,xq))
| sz00 = sdtasdt0(xp,xq)
| spl1_2 ),
inference(resolution,[],[f8174,f70]) ).
fof(f8304,plain,
( ~ aDivisorOf0(xp,sdtasdt0(xp,xq))
| sz00 = sdtasdt0(xp,xq)
| spl1_2
| ~ spl1_53 ),
inference(forward_subsumption_resolution,[],[f8290,f8051]) ).
fof(f8309,plain,
( ~ aDivisorOf0(xp,sdtasdt0(xp,xq))
| spl1_2
| spl1_52
| ~ spl1_53 ),
inference(forward_subsumption_resolution,[],[f8304,f8047]) ).
fof(f8318,plain,
( sz00 = xp
| ~ aInteger0(xq)
| ~ aDivisorOf0(xp,xp)
| ~ aInteger0(xp)
| spl1_2
| spl1_52
| ~ spl1_53 ),
inference(resolution,[],[f8309,f7437]) ).
fof(f8323,plain,
( sz00 = xp
| ~ aInteger0(xq)
| ~ aInteger0(xp)
| spl1_2
| spl1_52
| ~ spl1_53 ),
inference(forward_subsumption_resolution,[],[f8318,f324]) ).
fof(f8327,plain,
( ~ aInteger0(xq)
| ~ aInteger0(xp)
| spl1_2
| spl1_52
| ~ spl1_53 ),
inference(forward_subsumption_resolution,[],[f8323,f66]) ).
fof(f8330,plain,
( ~ aInteger0(xp)
| spl1_2
| spl1_52
| ~ spl1_53 ),
inference(forward_subsumption_resolution,[],[f8327,f65]) ).
fof(f8334,plain,
( $false
| spl1_2
| spl1_52
| ~ spl1_53 ),
inference(forward_subsumption_resolution,[],[f8330,f67]) ).
fof(f8335,plain,
( spl1_2
| spl1_52
| ~ spl1_53 ),
inference(avatar_contradiction_clause,[],[f8334]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f115]) ).
cnf(s73,plain,
( spl1_1
| spl1_52
| ~ spl1_53
| ~ spl1_54 ),
inference(sat_conversion,[],[f8057]) ).
cnf(s75,plain,
spl1_53,
inference(sat_conversion,[],[f8079]) ).
cnf(s77,plain,
spl1_54,
inference(sat_conversion,[],[f8105]) ).
cnf(s78,plain,
~ spl1_52,
inference(sat_conversion,[],[f8165]) ).
cnf(s86,plain,
( spl1_2
| spl1_52
| ~ spl1_53 ),
inference(sat_conversion,[],[f8335]) ).
cnf(s87,plain,
spl1_2,
inference(rat,[],[s86,s78,s75]) ).
cnf(s88,plain,
spl1_1,
inference(rat,[],[s73,s77,s75,s78]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s1,s87,s88]) ).
fof(f8336,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM433+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 19:51:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.38/2.33 % (1740464)Detected formulas, will run a generic FOF schedule.
% 10.38/2.33 % (1740511)dis-21_1_sil=8000:lcm=predicate:random_seed=2849478124: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)
% 10.38/2.33 % (1740511)Instruction limit reached!
% 10.38/2.33 % (1740511)------------------------------
% 10.38/2.33 % (1740511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.33 % (1740511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.33 % (1740511)CaDiCaL version: 2.1.3
% 10.38/2.33 % (1740511)Termination reason: Instruction limit
% 10.38/2.33 % (1740511)Termination phase: Saturation
% 10.38/2.33 % (1740511)Time elapsed: 0.036 s
% 10.38/2.33 % (1740511)Peak memory usage: 89 MB
% 10.38/2.33 % (1740511)Instructions burned: 130 (million)
% 10.38/2.33 % (1740505)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=3597604862:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.38/2.33 % (1740507)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=2801836240:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.38/2.33 % (1740509)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3995263412:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.38/2.33 % (1740506)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=1485408673:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.38/2.33 % (1740510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=13548959:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.38/2.33 % (1740508)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=740262329:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.38/2.33 % (1740508)Refutation not found, incomplete strategy
% 10.38/2.33 % (1740508)------------------------------
% 10.38/2.33 % (1740508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.33 % (1740508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.33 % (1740508)CaDiCaL version: 2.1.3
% 10.38/2.33 % (1740508)Termination reason: Refutation not found, incomplete strategy
% 10.38/2.33 % (1740508)Time elapsed: 0.003 s
% 10.38/2.33 % (1740508)Peak memory usage: 88 MB
% 10.38/2.33 % (1740508)Instructions burned: 2 (million)
% 10.38/2.33 % (1740509)Instruction limit reached!
% 10.38/2.33 % (1740509)------------------------------
% 10.38/2.33 % (1740509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.33 % (1740509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.33 % (1740509)CaDiCaL version: 2.1.3
% 10.38/2.33 % (1740509)Termination reason: Instruction limit
% 10.38/2.33 % (1740509)Termination phase: Saturation
% 10.38/2.33 % (1740509)Time elapsed: 0.065 s
% 10.38/2.33 % (1740509)Peak memory usage: 88 MB
% 10.38/2.33 % (1740509)Instructions burned: 120 (million)
% 10.38/2.33 % (1740519)lrs+10_1_sil=8000:sp=occurrence:random_seed=4031572218:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.38/2.33 % (1740510)Instruction limit reached!
% 10.38/2.33 % (1740510)------------------------------
% 10.38/2.33 % (1740510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.33 % (1740510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.33 % (1740510)CaDiCaL version: 2.1.3
% 10.38/2.33 % (1740510)Termination reason: Instruction limit
% 10.38/2.33 % (1740510)Termination phase: Saturation
% 10.38/2.33 % (1740510)Time elapsed: 0.092 s
% 10.38/2.33 % (1740510)Peak memory usage: 90 MB
% 10.38/2.33 % (1740510)Instructions burned: 139 (million)
% 10.38/2.33 % (1740519)Instruction limit reached!
% 10.38/2.33 % (1740519)------------------------------
% 10.38/2.33 % (1740519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.33 % (1740519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.33 % (1740519)CaDiCaL version: 2.1.3
% 10.38/2.33 % (1740519)Termination reason: Instruction limit
% 10.38/2.33 % (1740519)Termination phase: Saturation
% 10.38/2.33 % (1740519)Time elapsed: 0.091 s
% 10.38/2.33 % (1740519)Peak memory usage: 93 MB
% 10.38/2.33 % (1740519)Instructions burned: 288 (million)
% 10.38/2.33 % (1740520)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3695594186:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.65/3.36 % (1740522)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1956731617:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.65/3.36 % (1740508)------------------------------
% 17.65/3.36 % (1740508)------------------------------
% 17.65/3.36 % (1740526)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=1212175976:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 17.65/3.36 % (1740520)Instruction limit reached!
% 17.65/3.36 % (1740520)------------------------------
% 17.65/3.36 % (1740520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.36 % (1740520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.36 % (1740520)CaDiCaL version: 2.1.3
% 17.65/3.36 % (1740520)Termination reason: Instruction limit
% 17.65/3.36 % (1740520)Termination phase: Saturation
% 17.65/3.36 % (1740520)Time elapsed: 0.072 s
% 17.65/3.36 % (1740520)Peak memory usage: 90 MB
% 17.65/3.36 % (1740520)Instructions burned: 157 (million)
% 17.65/3.36 % (1740526)Instruction limit reached!
% 17.65/3.36 % (1740526)------------------------------
% 17.65/3.36 % (1740526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.36 % (1740526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.36 % (1740526)CaDiCaL version: 2.1.3
% 17.65/3.36 % (1740526)Termination reason: Instruction limit
% 17.65/3.36 % (1740526)Termination phase: Saturation
% 17.65/3.36 % (1740526)Time elapsed: 0.061 s
% 17.65/3.36 % (1740526)Peak memory usage: 94 MB
% 17.65/3.36 % (1740526)Instructions burned: 248 (million)
% 17.65/3.36 % (1740564)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3211888299:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 17.65/3.36 % (1740570)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3480244045:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.65/3.36 % (1740522)Instruction limit reached!
% 17.65/3.36 % (1740522)------------------------------
% 17.65/3.36 % (1740522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.36 % (1740522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.36 % (1740522)CaDiCaL version: 2.1.3
% 17.65/3.36 % (1740522)Termination reason: Instruction limit
% 17.65/3.36 % (1740522)Termination phase: Saturation
% 17.65/3.36 % (1740522)Time elapsed: 0.194 s
% 17.65/3.36 % (1740522)Peak memory usage: 93 MB
% 17.65/3.36 % (1740522)Instructions burned: 326 (million)
% 17.65/3.36 % (1740571)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3644329688:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 17.65/3.36 % (1740564)Instruction limit reached!
% 17.65/3.36 % (1740564)------------------------------
% 17.65/3.36 % (1740564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.36 % (1740564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.36 % (1740564)CaDiCaL version: 2.1.3
% 17.65/3.36 % (1740564)Termination reason: Instruction limit
% 17.65/3.36 % (1740564)Termination phase: Saturation
% 17.65/3.36 % (1740564)Time elapsed: 0.087 s
% 17.65/3.36 % (1740564)Peak memory usage: 88 MB
% 17.65/3.36 % (1740564)Instructions burned: 297 (million)
% 17.65/3.36 % (1740571)Instruction limit reached!
% 17.65/3.36 % (1740571)------------------------------
% 17.65/3.36 % (1740571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.36 % (1740571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.36 % (1740571)CaDiCaL version: 2.1.3
% 17.65/3.36 % (1740571)Termination reason: Instruction limit
% 17.65/3.36 % (1740571)Termination phase: Saturation
% 17.65/3.36 % (1740571)Time elapsed: 0.080 s
% 17.65/3.36 % (1740571)Peak memory usage: 91 MB
% 17.65/3.36 % (1740571)Instructions burned: 113 (million)
% 17.65/3.36 % (1740574)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2604368170:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.65/3.36 % (1740576)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1380162678:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 17.65/3.36 % (1740576)Instruction limit reached!
% 17.65/3.36 % (1740576)------------------------------
% 17.65/3.36 % (1740576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740576)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740576)Termination reason: Instruction limit
% 18.43/3.46 % (1740576)Termination phase: Saturation
% 18.43/3.46 % (1740576)Time elapsed: 0.034 s
% 18.43/3.46 % (1740576)Peak memory usage: 89 MB
% 18.43/3.46 % (1740576)Instructions burned: 116 (million)
% 18.43/3.46 % (1740574)Instruction limit reached!
% 18.43/3.46 % (1740574)------------------------------
% 18.43/3.46 % (1740574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740574)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740574)Termination reason: Instruction limit
% 18.43/3.46 % (1740574)Termination phase: Saturation
% 18.43/3.46 % (1740574)Time elapsed: 0.065 s
% 18.43/3.46 % (1740574)Peak memory usage: 89 MB
% 18.43/3.46 % (1740574)Instructions burned: 129 (million)
% 18.43/3.46 % (1740580)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1174102850:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 18.43/3.46 % (1740578)lrs+10_1_sil=8000:sp=occurrence:random_seed=1411494597:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 18.43/3.46 % (1740581)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3645470110:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 18.43/3.46 % (1740580)Instruction limit reached!
% 18.43/3.46 % (1740580)------------------------------
% 18.43/3.46 % (1740580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740580)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740580)Termination reason: Instruction limit
% 18.43/3.46 % (1740580)Termination phase: Saturation
% 18.43/3.46 % (1740580)Time elapsed: 0.100 s
% 18.43/3.46 % (1740580)Peak memory usage: 89 MB
% 18.43/3.46 % (1740580)Instructions burned: 441 (million)
% 18.43/3.46 % (1740585)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2068632201:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 18.43/3.46 % (1740585)Instruction limit reached!
% 18.43/3.46 % (1740585)------------------------------
% 18.43/3.46 % (1740585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740585)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740585)Termination reason: Instruction limit
% 18.43/3.46 % (1740585)Termination phase: Saturation
% 18.43/3.46 % (1740585)Time elapsed: 0.033 s
% 18.43/3.46 % (1740585)Peak memory usage: 91 MB
% 18.43/3.46 % (1740585)Instructions burned: 138 (million)
% 18.43/3.46 % (1740587)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=993453650:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 18.43/3.46 % (1740587)Instruction limit reached!
% 18.43/3.46 % (1740587)------------------------------
% 18.43/3.46 % (1740587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740587)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740587)Termination reason: Instruction limit
% 18.43/3.46 % (1740587)Termination phase: Saturation
% 18.43/3.46 % (1740587)Time elapsed: 0.126 s
% 18.43/3.46 % (1740587)Peak memory usage: 89 MB
% 18.43/3.46 % (1740587)Instructions burned: 594 (million)
% 18.43/3.46 % (1740589)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3182072395:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 18.43/3.46 % (1740578)Instruction limit reached!
% 18.43/3.46 % (1740578)------------------------------
% 18.43/3.46 % (1740578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740578)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740578)Termination reason: Instruction limit
% 18.43/3.46 % (1740578)Termination phase: Saturation
% 18.43/3.46 % (1740578)Time elapsed: 0.517 s
% 18.43/3.46 % (1740578)Peak memory usage: 103 MB
% 18.43/3.46 % (1740578)Instructions burned: 908 (million)
% 18.43/3.46 % (1740591)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=832639273:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 18.43/3.46 % (1740591)Instruction limit reached!
% 18.43/3.46 % (1740591)------------------------------
% 18.43/3.46 % (1740591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740591)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740591)Termination reason: Instruction limit
% 18.43/3.46 % (1740591)Termination phase: Saturation
% 18.43/3.46 % (1740591)Time elapsed: 0.067 s
% 18.43/3.46 % (1740591)Peak memory usage: 91 MB
% 18.43/3.46 % (1740591)Instructions burned: 127 (million)
% 18.43/3.46 % (1740593)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3512849387:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 18.43/3.46 % (1740593)Instruction limit reached!
% 18.43/3.46 % (1740593)------------------------------
% 18.43/3.46 % (1740593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740593)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740593)Termination reason: Instruction limit
% 18.43/3.46 % (1740593)Termination phase: Saturation
% 18.43/3.46 % (1740593)Time elapsed: 0.070 s
% 18.43/3.46 % (1740593)Peak memory usage: 90 MB
% 18.43/3.46 % (1740593)Instructions burned: 135 (million)
% 18.43/3.46 % (1740595)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2904198280:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 18.43/3.46 % (1740595)Instruction limit reached!
% 18.43/3.46 % (1740595)------------------------------
% 18.43/3.46 % (1740595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740595)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740595)Termination reason: Instruction limit
% 18.43/3.46 % (1740595)Termination phase: Saturation
% 18.43/3.46 % (1740595)Time elapsed: 0.071 s
% 18.43/3.46 % (1740595)Peak memory usage: 91 MB
% 18.43/3.46 % (1740595)Instructions burned: 141 (million)
% 18.43/3.46 % (1740570)Instruction limit reached!
% 18.43/3.46 % (1740570)------------------------------
% 18.43/3.46 % (1740570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740570)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740570)Termination reason: Instruction limit
% 18.43/3.46 % (1740570)Termination phase: Saturation
% 18.43/3.46 % (1740570)Time elapsed: 1.459 s
% 18.43/3.46 % (1740570)Peak memory usage: 143 MB
% 18.43/3.46 % (1740570)Instructions burned: 2351 (million)
% 18.43/3.46 % (1740597)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4151779992:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 18.43/3.46 % (1740597)Refutation not found, incomplete strategy
% 18.43/3.46 % (1740597)------------------------------
% 18.43/3.46 % (1740597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740597)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740597)Termination reason: Refutation not found, incomplete strategy
% 18.43/3.46 % (1740597)Time elapsed: 0.002 s
% 18.43/3.46 % (1740597)Peak memory usage: 88 MB
% 18.43/3.46 % (1740597)Instructions burned: 1 (million)
% 18.43/3.46 % (1740598)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=683385458:i=6060:aac=none:ins=25_2980 on theBenchmark for (2980ds/6060Mi)
% 18.43/3.46 % (1740597)------------------------------
% 18.43/3.46 % (1740597)------------------------------
% 18.43/3.46 % (1740581)First to succeed.
% 18.43/3.46 % (1740581)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1740464"
% 18.43/3.46 % (1740601)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=2800910972:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 18.43/3.46 % (1740601)Instruction limit reached!
% 18.43/3.46 % (1740601)------------------------------
% 18.43/3.46 % (1740601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.43/3.46 % (1740601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.46 % (1740601)CaDiCaL version: 2.1.3
% 18.43/3.46 % (1740601)Termination reason: Instruction limit
% 18.43/3.46 % (1740601)Termination phase: Saturation
% 18.43/3.46 % (1740601)Time elapsed: 0.072 s
% 18.43/3.46 % (1740601)Peak memory usage: 92 MB
% 18.43/3.46 % (1740601)Instructions burned: 151 (million)
% 18.43/3.46 % (1740581)Refutation found. Thanks to Tanya!
% 18.43/3.46 % SZS status Theorem for theBenchmark
% 18.43/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 19.08/3.65 % (1740581)------------------------------
% 19.08/3.65 % (1740581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.08/3.65 % (1740581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.08/3.65 % (1740581)CaDiCaL version: 2.1.3
% 19.08/3.65 % (1740581)Termination reason: Refutation
% 19.08/3.65 % (1740581)Time elapsed: 1.476 s
% 19.08/3.65 % (1740581)Peak memory usage: 141 MB
% 19.08/3.65 % (1740581)Instructions burned: 2271 (million)
% 19.08/3.65 % (1740581)------------------------------
% 19.08/3.65 % (1740581)------------------------------
% 19.08/3.65 % (1740464)Success in time 2.605 s
% 19.08/3.65 % Vampire exiting
%------------------------------------------------------------------------------