%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM431+3 : 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 : n003.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 13.40s 2.87s
% Output : Refutation 14.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 172 ( 58 unt; 8 def)
% Number of atoms : 396 ( 127 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 399 ( 175 ~; 169 |; 42 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 94 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
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(f12,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
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(f22,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00
& aInteger0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(f23,axiom,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(f24,axiom,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__876) ).
fof(f25,axiom,
( aInteger0(xm)
& sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__899) ).
fof(f26,conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f29,plain,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(rectify,[],[f23]) ).
fof(f30,plain,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(flattening,[],[f27]) ).
fof(f31,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f34]) ).
fof(f36,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(f37,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f44,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f45,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f44]) ).
fof(f47,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(f48,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,[],[f47]) ).
fof(f65,plain,
( aInteger0(sK1)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aInteger0(sK2)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK2)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f29]) ).
fof(f66,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f69,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f73,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f75,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f97,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f22]) ).
fof(f99,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f22]) ).
fof(f100,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f22]) ).
fof(f101,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f22]) ).
fof(f104,plain,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f105,plain,
aInteger0(sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f108,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f109,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f110,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn),
inference(cnf_transformation,[],[f24]) ).
fof(f111,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f24]) ).
fof(f112,plain,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,xm),
inference(cnf_transformation,[],[f25]) ).
fof(f113,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f114,plain,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(cnf_transformation,[],[f30]) ).
fof(f117,definition,
sF3 = sdtpldt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f118,plain,
sdtpldt0(xn,xm) = sF3,
inference(reorient_equations,[],[f117]) ).
fof(f119,definition,
sF4 = sdtasdt0(xq,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f120,plain,
sdtasdt0(xq,sF3) = sF4,
inference(reorient_equations,[],[f119]) ).
fof(f121,definition,
sF5 = smndt0(xc),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f122,plain,
smndt0(xc) = sF5,
inference(reorient_equations,[],[f121]) ).
fof(f123,definition,
sF6 = sdtpldt0(xa,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f124,plain,
sdtpldt0(xa,sF5) = sF6,
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
sF4 != sF6,
inference(definition_folding,[],[f114,f124,f122,f120,f118]) ).
fof(f127,plain,
sdtasdt0(xq,xm) = sdtasdt0(xq,sK2),
inference(forward_demodulation,[],[f104,f112]) ).
fof(f129,plain,
sdtasdt0(xq,xn) = sdtasdt0(xq,sK1),
inference(forward_demodulation,[],[f108,f110]) ).
fof(f130,plain,
sdtasdt0(xq,xm) = sdtpldt0(xb,sF5),
inference(superposition,[],[f112,f122]) ).
fof(f131,plain,
sdtasdt0(xq,sK2) = sdtpldt0(xb,sF5),
inference(forward_demodulation,[],[f130,f127]) ).
fof(f132,plain,
( aInteger0(sF6)
| ~ aInteger0(xa)
| ~ aInteger0(sF5) ),
inference(superposition,[],[f69,f124]) ).
fof(f139,plain,
( aInteger0(sF6)
| ~ aInteger0(sF5) ),
inference(forward_subsumption_resolution,[],[f132,f101]) ).
fof(f144,definition,
( spl7_1
<=> aInteger0(sF5) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f145,plain,
( aInteger0(sF5)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( ~ aInteger0(sF5)
| spl7_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl7_2
<=> aInteger0(sF6) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f150,plain,
( aInteger0(sF6)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f139,f148,f144]) ).
fof(f154,definition,
( spl7_3
<=> aInteger0(smndt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f155,plain,
( aInteger0(smndt0(xb))
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( ~ aInteger0(smndt0(xb))
| spl7_3 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f163,definition,
( spl7_5
<=> aInteger0(sdtasdt0(xq,sK2)) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f165,plain,
( aInteger0(sdtasdt0(xq,sK2))
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f168,plain,
( aInteger0(sdtasdt0(xq,sK2))
| ~ aInteger0(xq)
| ~ aInteger0(xm) ),
inference(superposition,[],[f70,f127]) ).
fof(f173,plain,
( aInteger0(sdtasdt0(xq,sK2))
| ~ aInteger0(xm) ),
inference(forward_subsumption_resolution,[],[f168,f99]) ).
fof(f176,plain,
aInteger0(sdtasdt0(xq,sK2)),
inference(forward_subsumption_resolution,[],[f173,f113]) ).
fof(f178,plain,
spl7_5,
inference(avatar_split_clause,[],[f176,f163]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xc)) = sdtpldt0(sdtpldt0(X0,X1),xc) ),
inference(resolution,[],[f71,f97]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn)) ),
inference(resolution,[],[f82,f111]) ).
fof(f232,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X0,xn)) ),
inference(resolution,[],[f196,f113]) ).
fof(f249,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) ),
inference(resolution,[],[f72,f101]) ).
fof(f250,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(xb,X0) ),
inference(resolution,[],[f72,f100]) ).
fof(f252,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xc) = sdtpldt0(xc,X0) ),
inference(resolution,[],[f72,f97]) ).
fof(f254,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) ),
inference(resolution,[],[f72,f113]) ).
fof(f262,plain,
( aInteger0(sF5)
| ~ aInteger0(xc) ),
inference(superposition,[],[f68,f122]) ).
fof(f263,plain,
( ~ aInteger0(xc)
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f262,f146]) ).
fof(f264,plain,
( $false
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f263,f97]) ).
fof(f265,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f271,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sF5)) = sdtpldt0(sdtpldt0(X0,X1),sF5) )
| ~ spl7_1 ),
inference(resolution,[],[f145,f71]) ).
fof(f278,plain,
( ~ aInteger0(xb)
| spl7_3 ),
inference(resolution,[],[f156,f68]) ).
fof(f279,plain,
( $false
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f278,f100]) ).
fof(f280,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f309,plain,
xa = sdtpldt0(sz00,xa),
inference(resolution,[],[f73,f101]) ).
fof(f335,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xb)) )
| ~ spl7_3 ),
inference(resolution,[],[f155,f71]) ).
fof(f393,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[],[f254,f111]) ).
fof(f399,plain,
sF3 = sdtpldt0(xm,xn),
inference(forward_demodulation,[],[f393,f118]) ).
fof(f566,plain,
sz00 = sdtpldt0(smndt0(xb),xb),
inference(resolution,[],[f75,f100]) ).
fof(f568,plain,
sz00 = sdtpldt0(smndt0(xc),xc),
inference(resolution,[],[f75,f97]) ).
fof(f576,plain,
sz00 = sdtpldt0(sF5,xc),
inference(forward_demodulation,[],[f568,f122]) ).
fof(f652,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) = sdtasdt0(X0,xq) ),
inference(resolution,[],[f78,f99]) ).
fof(f835,plain,
sdtpldt0(sz00,xa) = sdtpldt0(xa,sz00),
inference(resolution,[],[f249,f66]) ).
fof(f840,plain,
( sdtpldt0(sdtasdt0(xq,sK2),xa) = sdtpldt0(xa,sdtasdt0(xq,sK2))
| ~ spl7_5 ),
inference(resolution,[],[f249,f165]) ).
fof(f843,plain,
sdtpldt0(xb,xa) = sdtpldt0(xa,xb),
inference(resolution,[],[f249,f100]) ).
fof(f856,plain,
xa = sdtpldt0(xa,sz00),
inference(forward_demodulation,[],[f835,f309]) ).
fof(f925,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF5,xc)) = sdtpldt0(sdtpldt0(X0,sF5),xc) )
| ~ spl7_1 ),
inference(resolution,[],[f185,f145]) ).
fof(f927,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF5),xc) )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f925,f576]) ).
fof(f1024,plain,
( sdtpldt0(smndt0(xb),xb) = sdtpldt0(xb,smndt0(xb))
| ~ spl7_3 ),
inference(resolution,[],[f250,f155]) ).
fof(f1040,plain,
( sdtpldt0(sF6,xb) = sdtpldt0(xb,sF6)
| ~ spl7_2 ),
inference(resolution,[],[f250,f150]) ).
fof(f1042,plain,
( sz00 = sdtpldt0(xb,smndt0(xb))
| ~ spl7_3 ),
inference(forward_demodulation,[],[f1024,f566]) ).
fof(f1101,plain,
( sdtpldt0(xa,sz00) = sdtpldt0(sdtpldt0(xa,sF5),xc)
| ~ spl7_1 ),
inference(resolution,[],[f927,f101]) ).
fof(f1117,plain,
( sdtpldt0(xa,sz00) = sdtpldt0(sF6,xc)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1101,f124]) ).
fof(f1123,plain,
( xa = sdtpldt0(sF6,xc)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1117,f856]) ).
fof(f1181,plain,
sdtasdt0(xq,sK1) = sdtasdt0(sK1,xq),
inference(resolution,[],[f652,f109]) ).
fof(f1182,plain,
sdtasdt0(xq,sK2) = sdtasdt0(sK2,xq),
inference(resolution,[],[f652,f105]) ).
fof(f1225,plain,
( sdtpldt0(sF5,xc) = sdtpldt0(xc,sF5)
| ~ spl7_1 ),
inference(resolution,[],[f252,f145]) ).
fof(f1228,plain,
( sz00 = sdtpldt0(xc,sF5)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1225,f576]) ).
fof(f1387,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,sF5)) = sdtpldt0(sdtpldt0(X0,xa),sF5) )
| ~ spl7_1 ),
inference(resolution,[],[f271,f101]) ).
fof(f1388,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xb,sF5)) = sdtpldt0(sdtpldt0(X0,xb),sF5) )
| ~ spl7_1 ),
inference(resolution,[],[f271,f100]) ).
fof(f1390,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xc,sF5)) = sdtpldt0(sdtpldt0(X0,xc),sF5) )
| ~ spl7_1 ),
inference(resolution,[],[f271,f97]) ).
fof(f1403,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,xc),sF5) )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1390,f1228]) ).
fof(f1405,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xq,sK2)) = sdtpldt0(sdtpldt0(X0,xb),sF5)
| ~ aInteger0(X0) )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1388,f131]) ).
fof(f1406,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF6) = sdtpldt0(sdtpldt0(X0,xa),sF5) )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1387,f124]) ).
fof(f1412,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(sK2,xq)) = sdtpldt0(sdtpldt0(X0,xb),sF5) )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1405,f1182]) ).
fof(f1421,plain,
( sdtpldt0(xb,sF6) = sdtpldt0(sdtpldt0(xb,xa),sF5)
| ~ spl7_1 ),
inference(resolution,[],[f1406,f100]) ).
fof(f1460,plain,
( sdtpldt0(xa,sdtasdt0(sK2,xq)) = sdtpldt0(sdtpldt0(xa,xb),sF5)
| ~ spl7_1 ),
inference(resolution,[],[f1412,f101]) ).
fof(f1482,plain,
( sdtpldt0(sdtpldt0(xb,xa),sF5) = sdtpldt0(xa,sdtasdt0(sK2,xq))
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1460,f843]) ).
fof(f1490,plain,
( sdtpldt0(xb,sF6) = sdtpldt0(xa,sdtasdt0(sK2,xq))
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1482,f1421]) ).
fof(f1521,plain,
( sdtpldt0(sF6,sz00) = sdtpldt0(sdtpldt0(sF6,xc),sF5)
| ~ spl7_1
| ~ spl7_2 ),
inference(resolution,[],[f1403,f150]) ).
fof(f1522,plain,
( sdtpldt0(xa,sF5) = sdtpldt0(sF6,sz00)
| ~ spl7_1
| ~ spl7_2 ),
inference(forward_demodulation,[],[f1521,f1123]) ).
fof(f1536,plain,
( sF6 = sdtpldt0(sF6,sz00)
| ~ spl7_1
| ~ spl7_2 ),
inference(forward_demodulation,[],[f1522,f124]) ).
fof(f2451,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xb)) )
| ~ spl7_3 ),
inference(resolution,[],[f335,f101]) ).
fof(f2452,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,xb),smndt0(xb)) )
| ~ spl7_3 ),
inference(resolution,[],[f335,f100]) ).
fof(f2466,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,xb),smndt0(xb)) )
| ~ spl7_3 ),
inference(forward_demodulation,[],[f2452,f1042]) ).
fof(f2467,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),smndt0(xb)) = sdtpldt0(X0,sdtasdt0(xq,xn))
| ~ aInteger0(X0) )
| ~ spl7_3 ),
inference(forward_demodulation,[],[f2451,f110]) ).
fof(f2473,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xq,sK1)) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xb))
| ~ aInteger0(X0) )
| ~ spl7_3 ),
inference(forward_demodulation,[],[f2467,f129]) ).
fof(f2474,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(sK1,xq)) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xb)) )
| ~ spl7_3 ),
inference(forward_demodulation,[],[f2473,f1181]) ).
fof(f2480,plain,
( sdtpldt0(sdtasdt0(xq,sK2),sdtasdt0(sK1,xq)) = sdtpldt0(sdtpldt0(sdtasdt0(xq,sK2),xa),smndt0(xb))
| ~ spl7_3
| ~ spl7_5 ),
inference(resolution,[],[f2474,f165]) ).
fof(f2503,plain,
( sdtpldt0(sdtasdt0(xq,sK2),sdtasdt0(sK1,xq)) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,sK2)),smndt0(xb))
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2480,f840]) ).
fof(f2510,plain,
( sdtpldt0(sdtasdt0(sK2,xq),sdtasdt0(sK1,xq)) = sdtpldt0(sdtpldt0(xa,sdtasdt0(sK2,xq)),smndt0(xb))
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2503,f1182]) ).
fof(f2516,plain,
( sdtpldt0(sdtasdt0(sK2,xq),sdtasdt0(sK1,xq)) = sdtpldt0(sdtpldt0(xb,sF6),smndt0(xb))
| ~ spl7_1
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2510,f1490]) ).
fof(f8891,plain,
sdtasdt0(xq,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(xq,xm),sdtasdt0(xq,xn)),
inference(resolution,[],[f232,f99]) ).
fof(f8912,plain,
sdtasdt0(xq,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(xq,xm),sdtasdt0(xq,sK1)),
inference(forward_demodulation,[],[f8891,f129]) ).
fof(f8941,plain,
sdtasdt0(xq,sdtpldt0(xm,xn)) = sdtpldt0(sdtasdt0(xq,xm),sdtasdt0(sK1,xq)),
inference(forward_demodulation,[],[f8912,f1181]) ).
fof(f9577,plain,
( sdtpldt0(sF6,sz00) = sdtpldt0(sdtpldt0(sF6,xb),smndt0(xb))
| ~ spl7_2
| ~ spl7_3 ),
inference(resolution,[],[f2466,f150]) ).
fof(f10007,plain,
( sdtpldt0(sF6,sz00) = sdtpldt0(sdtpldt0(xb,sF6),smndt0(xb))
| ~ spl7_2
| ~ spl7_3 ),
inference(forward_demodulation,[],[f9577,f1040]) ).
fof(f10215,plain,
( sF6 = sdtpldt0(sdtpldt0(xb,sF6),smndt0(xb))
| ~ spl7_1
| ~ spl7_2
| ~ spl7_3 ),
inference(forward_demodulation,[],[f10007,f1536]) ).
fof(f10826,plain,
sdtpldt0(sdtasdt0(xq,sK2),sdtasdt0(sK1,xq)) = sdtasdt0(xq,sdtpldt0(xm,xn)),
inference(forward_demodulation,[],[f8941,f127]) ).
fof(f10962,plain,
sdtasdt0(xq,sF3) = sdtpldt0(sdtasdt0(xq,sK2),sdtasdt0(sK1,xq)),
inference(forward_demodulation,[],[f10826,f399]) ).
fof(f11004,plain,
sdtasdt0(xq,sF3) = sdtpldt0(sdtasdt0(sK2,xq),sdtasdt0(sK1,xq)),
inference(forward_demodulation,[],[f10962,f1182]) ).
fof(f11012,plain,
( sdtasdt0(xq,sF3) = sdtpldt0(sdtpldt0(xb,sF6),smndt0(xb))
| ~ spl7_1
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_demodulation,[],[f11004,f2516]) ).
fof(f11014,plain,
( sdtasdt0(xq,sF3) = sF6
| ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_demodulation,[],[f11012,f10215]) ).
fof(f11015,plain,
( sF4 = sF6
| ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_demodulation,[],[f11014,f120]) ).
fof(f11016,plain,
( $false
| ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f11015,f125]) ).
fof(f11017,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_5 ),
inference(avatar_contradiction_clause,[],[f11016]) ).
cnf(s1,plain,
( ~ spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f151]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f178]) ).
cnf(s6,plain,
spl7_1,
inference(sat_conversion,[],[f265]) ).
cnf(s7,plain,
spl7_3,
inference(sat_conversion,[],[f280]) ).
cnf(s53,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_5 ),
inference(sat_conversion,[],[f11017]) ).
cnf(s64,plain,
~ spl7_2,
inference(rat,[],[s53,s6,s7,s5]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s1,s64,s6]) ).
fof(f11018,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM431+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:55:12 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 13.40/2.87 % (884804)Detected formulas, will run a generic FOF schedule.
% 13.40/2.87 % (884838)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=461185379:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.40/2.87 % (884845)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3426013264:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.40/2.87 % (884836)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=42592429:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.40/2.87 % (884841)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1134832914:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.40/2.87 % (884839)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=3054179937:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.40/2.87 % (884847)dis-21_1_sil=8000:lcm=predicate:random_seed=3002474835: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)
% 13.40/2.87 % (884842)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1255887978:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.40/2.87 % (884847)Refutation not found, incomplete strategy
% 13.40/2.87 % (884847)------------------------------
% 13.40/2.87 % (884847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884847)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884847)Termination reason: Refutation not found, incomplete strategy
% 13.40/2.87 % (884847)Time elapsed: 0.005 s
% 13.40/2.87 % (884847)Peak memory usage: 88 MB
% 13.40/2.87 % (884847)Instructions burned: 5 (million)
% 13.40/2.87 % (884841)Instruction limit reached!
% 13.40/2.87 % (884841)------------------------------
% 13.40/2.87 % (884841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884841)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884841)Termination reason: Instruction limit
% 13.40/2.87 % (884841)Termination phase: Saturation
% 13.40/2.87 % (884841)Time elapsed: 0.066 s
% 13.40/2.87 % (884841)Peak memory usage: 89 MB
% 13.40/2.87 % (884841)Instructions burned: 109 (million)
% 13.40/2.87 % (884845)Instruction limit reached!
% 13.40/2.87 % (884845)------------------------------
% 13.40/2.87 % (884845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884845)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884845)Termination reason: Instruction limit
% 13.40/2.87 % (884845)Termination phase: Saturation
% 13.40/2.87 % (884845)Time elapsed: 0.086 s
% 13.40/2.87 % (884845)Peak memory usage: 90 MB
% 13.40/2.87 % (884845)Instructions burned: 140 (million)
% 13.40/2.87 % (884842)Instruction limit reached!
% 13.40/2.87 % (884842)------------------------------
% 13.40/2.87 % (884842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884842)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884842)Termination reason: Instruction limit
% 13.40/2.87 % (884842)Termination phase: Saturation
% 13.40/2.87 % (884842)Time elapsed: 0.068 s
% 13.40/2.87 % (884842)Peak memory usage: 88 MB
% 13.40/2.87 % (884842)Instructions burned: 120 (million)
% 13.40/2.87 % (884906)lrs+10_1_sil=8000:sp=occurrence:random_seed=385275665:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 13.40/2.87 % (884915)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1039677030:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.40/2.87 % (884917)lrs+1011_1_sil=32000:sp=occurrence:random_seed=259772982:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.40/2.87 % (884847)------------------------------
% 13.40/2.87 % (884847)------------------------------
% 13.40/2.87 % (884915)Instruction limit reached!
% 13.40/2.87 % (884915)------------------------------
% 13.40/2.87 % (884915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884915)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884915)Termination reason: Instruction limit
% 13.40/2.87 % (884915)Termination phase: Saturation
% 13.40/2.87 % (884915)Time elapsed: 0.076 s
% 13.40/2.87 % (884915)Peak memory usage: 95 MB
% 13.40/2.87 % (884915)Instructions burned: 157 (million)
% 13.40/2.87 % (884906)Instruction limit reached!
% 13.40/2.87 % (884906)------------------------------
% 13.40/2.87 % (884906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884906)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884906)Termination reason: Instruction limit
% 13.40/2.87 % (884906)Termination phase: Saturation
% 13.40/2.87 % (884906)Time elapsed: 0.162 s
% 13.40/2.87 % (884906)Peak memory usage: 93 MB
% 13.40/2.87 % (884906)Instructions burned: 287 (million)
% 13.40/2.87 % (884940)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=759697335:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.40/2.87 % (884917)Instruction limit reached!
% 13.40/2.87 % (884917)------------------------------
% 13.40/2.87 % (884917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884917)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884917)Termination reason: Instruction limit
% 13.40/2.87 % (884917)Termination phase: Saturation
% 13.40/2.87 % (884917)Time elapsed: 0.196 s
% 13.40/2.87 % (884917)Peak memory usage: 93 MB
% 13.40/2.87 % (884917)Instructions burned: 325 (million)
% 13.40/2.87 % (884941)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4266647231:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.40/2.87 % (884977)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3669233854:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 13.40/2.87 % (884940)Instruction limit reached!
% 13.40/2.87 % (884940)------------------------------
% 13.40/2.87 % (884940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884940)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884940)Termination reason: Instruction limit
% 13.40/2.87 % (884940)Termination phase: Saturation
% 13.40/2.87 % (884940)Time elapsed: 0.112 s
% 13.40/2.87 % (884940)Peak memory usage: 94 MB
% 13.40/2.87 % (884940)Instructions burned: 249 (million)
% 13.40/2.87 % (884987)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2943516314:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 13.40/2.87 % (884941)Instruction limit reached!
% 13.40/2.87 % (884941)------------------------------
% 13.40/2.87 % (884941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884941)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884941)Termination reason: Instruction limit
% 13.40/2.87 % (884941)Termination phase: Saturation
% 13.40/2.87 % (884941)Time elapsed: 0.169 s
% 13.40/2.87 % (884941)Peak memory usage: 90 MB
% 13.40/2.87 % (884941)Instructions burned: 296 (million)
% 13.40/2.87 % (884987)Instruction limit reached!
% 13.40/2.87 % (884987)------------------------------
% 13.40/2.87 % (884987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884987)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884987)Termination reason: Instruction limit
% 13.40/2.87 % (884987)Termination phase: Saturation
% 13.40/2.87 % (884987)Time elapsed: 0.075 s
% 13.40/2.87 % (884987)Peak memory usage: 91 MB
% 13.40/2.87 % (884987)Instructions burned: 113 (million)
% 13.40/2.87 % (884989)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1941739402:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 13.40/2.87 % (884991)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2052524852:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.40/2.87 % (884989)Instruction limit reached!
% 13.40/2.87 % (884989)------------------------------
% 13.40/2.87 % (884989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884989)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884989)Termination reason: Instruction limit
% 13.40/2.87 % (884989)Termination phase: Saturation
% 13.40/2.87 % (884989)Time elapsed: 0.063 s
% 13.40/2.87 % (884989)Peak memory usage: 89 MB
% 13.40/2.87 % (884989)Instructions burned: 129 (million)
% 13.40/2.87 % (884992)lrs+10_1_sil=8000:sp=occurrence:random_seed=2206778503:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 13.40/2.87 % (884991)Instruction limit reached!
% 13.40/2.87 % (884991)------------------------------
% 13.40/2.87 % (884991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884991)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884991)Termination reason: Instruction limit
% 13.40/2.87 % (884991)Termination phase: Saturation
% 13.40/2.87 % (884991)Time elapsed: 0.061 s
% 13.40/2.87 % (884991)Peak memory usage: 89 MB
% 13.40/2.87 % (884991)Instructions burned: 114 (million)
% 13.40/2.87 % (884995)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2047463674:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 13.40/2.87 % (884998)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3190824982:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 13.40/2.87 % (884995)Instruction limit reached!
% 13.40/2.87 % (884995)------------------------------
% 13.40/2.87 % (884995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884995)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884995)Termination reason: Instruction limit
% 13.40/2.87 % (884995)Termination phase: Saturation
% 13.40/2.87 % (884995)Time elapsed: 0.250 s
% 13.40/2.87 % (884995)Peak memory usage: 94 MB
% 13.40/2.87 % (884995)Instructions burned: 438 (million)
% 13.40/2.87 % (885001)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3155495197:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 13.40/2.87 % (884992)Instruction limit reached!
% 13.40/2.87 % (884992)------------------------------
% 13.40/2.87 % (884992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (884992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (884992)CaDiCaL version: 2.1.3
% 13.40/2.87 % (884992)Termination reason: Instruction limit
% 13.40/2.87 % (884992)Termination phase: Saturation
% 13.40/2.87 % (884992)Time elapsed: 0.498 s
% 13.40/2.87 % (884992)Peak memory usage: 103 MB
% 13.40/2.87 % (884992)Instructions burned: 907 (million)
% 13.40/2.87 % (885001)Instruction limit reached!
% 13.40/2.87 % (885001)------------------------------
% 13.40/2.87 % (885001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (885001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (885001)CaDiCaL version: 2.1.3
% 13.40/2.87 % (885001)Termination reason: Instruction limit
% 13.40/2.87 % (885001)Termination phase: Saturation
% 13.40/2.87 % (885001)Time elapsed: 0.058 s
% 13.40/2.87 % (885001)Peak memory usage: 91 MB
% 13.40/2.87 % (885001)Instructions burned: 135 (million)
% 13.40/2.87 % (885003)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=249102049:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 13.40/2.87 % (885004)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1055701060:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 13.40/2.87 % (884836)First to succeed.
% 13.40/2.87 % (884836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-884804"
% 13.40/2.87 % (885003)Instruction limit reached!
% 13.40/2.87 % (885003)------------------------------
% 13.40/2.87 % (885003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.87 % (885003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.87 % (885003)CaDiCaL version: 2.1.3
% 13.40/2.87 % (885003)Termination reason: Instruction limit
% 13.40/2.87 % (885003)Termination phase: Saturation
% 13.40/2.87 % (885003)Time elapsed: 0.367 s
% 13.40/2.87 % (885003)Peak memory usage: 97 MB
% 13.40/2.87 % (885003)Instructions burned: 592 (million)
% 13.40/2.87 % (884836)Refutation found. Thanks to Tanya!
% 13.40/2.87 % SZS status Theorem for theBenchmark
% 13.40/2.87 % SZS output start Proof for theBenchmark
% See solution above
% 14.57/3.07 % (884836)------------------------------
% 14.57/3.07 % (884836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.57/3.07 % (884836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.57/3.07 % (884836)CaDiCaL version: 2.1.3
% 14.57/3.07 % (884836)Termination reason: Refutation
% 14.57/3.07 % (884836)Time elapsed: 1.576 s
% 14.57/3.07 % (884836)Peak memory usage: 149 MB
% 14.57/3.07 % (884836)Instructions burned: 2643 (million)
% 14.57/3.07 % (884836)------------------------------
% 14.57/3.07 % (884836)------------------------------
% 14.57/3.07 % (884804)Success in time 1.965 s
% 14.57/3.07 % Vampire exiting
%------------------------------------------------------------------------------