%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM426+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:15:08 PM UTC 2026
% Result : Theorem 20.25s 3.83s
% Output : Refutation 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 245 ( 62 unt; 11 def)
% Number of atoms : 607 ( 175 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 680 ( 318 ~; 315 |; 29 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 111 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f21,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__704) ).
fof(f22,axiom,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__724) ).
fof(f23,axiom,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__747) ).
fof(f24,conjecture,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f27,plain,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(flattening,[],[f25]) ).
fof(f28,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f31]) ).
fof(f33,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(f34,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f36,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f39,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(f40,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f42,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f41]) ).
fof(f44,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(f45,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,[],[f44]) ).
fof(f47,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f60,plain,
( aInteger0(sK1)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f22]) ).
fof(f62,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f65,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f68,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f69,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f70,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f77,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,[],[f45]) ).
fof(f80,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f81,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f92,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f21]) ).
fof(f93,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f21]) ).
fof(f94,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f21]) ).
fof(f97,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f98,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f99,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn),
inference(cnf_transformation,[],[f23]) ).
fof(f100,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f23]) ).
fof(f101,plain,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(cnf_transformation,[],[f27]) ).
fof(f104,definition,
sF2 = smndt0(xn),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f105,plain,
smndt0(xn) = sF2,
inference(reorient_equations,[],[f104]) ).
fof(f106,definition,
sF3 = sdtasdt0(xq,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f107,plain,
sdtasdt0(xq,sF2) = sF3,
inference(reorient_equations,[],[f106]) ).
fof(f108,definition,
sF4 = smndt0(xa),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f109,plain,
smndt0(xa) = sF4,
inference(reorient_equations,[],[f108]) ).
fof(f110,definition,
sF5 = sdtpldt0(xb,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f111,plain,
sdtpldt0(xb,sF4) = sF5,
inference(reorient_equations,[],[f110]) ).
fof(f112,plain,
sF3 != sF5,
inference(definition_folding,[],[f101,f111,f109,f107,f105]) ).
fof(f114,plain,
sdtasdt0(xq,xn) = sdtasdt0(xq,sK1),
inference(forward_demodulation,[],[f97,f99]) ).
fof(f115,plain,
( aInteger0(sF5)
| ~ aInteger0(xb)
| ~ aInteger0(sF4) ),
inference(superposition,[],[f64,f111]) ).
fof(f118,plain,
( aInteger0(sF5)
| ~ aInteger0(sF4) ),
inference(forward_subsumption_resolution,[],[f115,f93]) ).
fof(f121,definition,
( spl6_1
<=> aInteger0(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f122,plain,
( aInteger0(sF4)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( ~ aInteger0(sF4)
| spl6_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl6_2
<=> aInteger0(sF5) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f127,plain,
( aInteger0(sF5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f118,f125,f121]) ).
fof(f130,definition,
( spl6_3
<=> aInteger0(smndt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f131,plain,
( aInteger0(smndt0(xb))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( ~ aInteger0(smndt0(xb))
| spl6_3 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f134,definition,
( spl6_4
<=> aInteger0(sdtasdt0(xq,sK1)) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f136,plain,
( aInteger0(sdtasdt0(xq,sK1))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,plain,
( aInteger0(sF2)
| ~ aInteger0(xn) ),
inference(superposition,[],[f63,f105]) ).
fof(f139,plain,
( aInteger0(sF4)
| ~ aInteger0(xa) ),
inference(superposition,[],[f63,f109]) ).
fof(f140,plain,
( ~ aInteger0(xa)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f139,f123]) ).
fof(f141,plain,
aInteger0(sF2),
inference(forward_subsumption_resolution,[],[f138,f100]) ).
fof(f142,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f140,f94]) ).
fof(f143,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f144,plain,
( aInteger0(sdtasdt0(xq,sK1))
| ~ aInteger0(xq)
| ~ aInteger0(xn) ),
inference(superposition,[],[f65,f114]) ).
fof(f145,plain,
( aInteger0(sF3)
| ~ aInteger0(xq)
| ~ aInteger0(sF2) ),
inference(superposition,[],[f65,f107]) ).
fof(f146,plain,
( aInteger0(sF3)
| ~ aInteger0(sF2) ),
inference(forward_subsumption_resolution,[],[f145,f92]) ).
fof(f147,plain,
( aInteger0(sdtasdt0(xq,sK1))
| ~ aInteger0(xn) ),
inference(forward_subsumption_resolution,[],[f144,f92]) ).
fof(f148,plain,
aInteger0(sF3),
inference(forward_subsumption_resolution,[],[f146,f141]) ).
fof(f149,plain,
aInteger0(sdtasdt0(xq,sK1)),
inference(forward_subsumption_resolution,[],[f147,f100]) ).
fof(f150,plain,
spl6_4,
inference(avatar_split_clause,[],[f149,f134]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xa)) ),
inference(resolution,[],[f77,f94]) ).
fof(f221,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xq)) = sdtasdt0(sdtasdt0(X0,X1),xq) ),
inference(resolution,[],[f72,f92]) ).
fof(f233,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa) ),
inference(resolution,[],[f66,f94]) ).
fof(f234,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xb)) = sdtpldt0(sdtpldt0(X0,X1),xb) ),
inference(resolution,[],[f66,f93]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xn)) = sdtpldt0(sdtpldt0(X0,X1),xn) ),
inference(resolution,[],[f66,f100]) ).
fof(f242,plain,
( ~ aInteger0(xb)
| spl6_3 ),
inference(resolution,[],[f132,f63]) ).
fof(f243,plain,
( $false
| spl6_3 ),
inference(forward_subsumption_resolution,[],[f242,f93]) ).
fof(f244,plain,
spl6_3,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xb)) )
| ~ spl6_3 ),
inference(resolution,[],[f131,f66]) ).
fof(f253,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xb)),smndt0(xb))
| ~ spl6_3 ),
inference(resolution,[],[f70,f131]) ).
fof(f257,plain,
sz00 = sdtpldt0(smndt0(xa),xa),
inference(resolution,[],[f70,f94]) ).
fof(f258,plain,
sz00 = sdtpldt0(smndt0(xb),xb),
inference(resolution,[],[f70,f93]) ).
fof(f260,plain,
sz00 = sdtpldt0(smndt0(xn),xn),
inference(resolution,[],[f70,f100]) ).
fof(f262,plain,
sz00 = sdtpldt0(smndt0(sF2),sF2),
inference(resolution,[],[f70,f141]) ).
fof(f266,plain,
sz00 = sdtpldt0(sF2,xn),
inference(forward_demodulation,[],[f260,f105]) ).
fof(f267,plain,
sz00 = sdtpldt0(sF4,xa),
inference(forward_demodulation,[],[f257,f109]) ).
fof(f339,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f68,f93]) ).
fof(f341,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f68,f100]) ).
fof(f356,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(xn,xq)) = sdtasdt0(sdtasdt0(X0,xn),xq) ),
inference(resolution,[],[f221,f100]) ).
fof(f358,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(sF2,xq)) = sdtasdt0(sdtasdt0(X0,sF2),xq) ),
inference(resolution,[],[f221,f141]) ).
fof(f364,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(xb),xb)) = sdtpldt0(sdtpldt0(X0,smndt0(xb)),xb) )
| ~ spl6_3 ),
inference(resolution,[],[f234,f131]) ).
fof(f375,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF4,xb)) = sdtpldt0(sdtpldt0(X0,sF4),xb) )
| ~ spl6_1 ),
inference(resolution,[],[f234,f122]) ).
fof(f377,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xb)),xb) )
| ~ spl6_3 ),
inference(forward_demodulation,[],[f364,f258]) ).
fof(f390,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF2,xn)) = sdtpldt0(sdtpldt0(X0,sF2),xn) ),
inference(resolution,[],[f236,f141]) ).
fof(f394,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF2),xn) ),
inference(forward_demodulation,[],[f390,f266]) ).
fof(f413,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(xb),xa)) = sdtpldt0(sdtasdt0(X0,smndt0(xb)),sdtasdt0(X0,xa)) )
| ~ spl6_3 ),
inference(resolution,[],[f163,f131]) ).
fof(f435,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) ),
inference(resolution,[],[f67,f94]) ).
fof(f436,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(xb,X0) ),
inference(resolution,[],[f67,f93]) ).
fof(f446,plain,
( sdtpldt0(smndt0(xb),xb) = sdtpldt0(xb,smndt0(xb))
| ~ spl6_3 ),
inference(resolution,[],[f436,f131]) ).
fof(f456,plain,
sdtpldt0(sF3,xb) = sdtpldt0(xb,sF3),
inference(resolution,[],[f436,f148]) ).
fof(f457,plain,
( sdtpldt0(xb,sF4) = sdtpldt0(sF4,xb)
| ~ spl6_1 ),
inference(resolution,[],[f436,f122]) ).
fof(f458,plain,
( sdtpldt0(sF5,xb) = sdtpldt0(xb,sF5)
| ~ spl6_2 ),
inference(resolution,[],[f436,f127]) ).
fof(f459,plain,
( sF5 = sdtpldt0(sF4,xb)
| ~ spl6_1 ),
inference(forward_demodulation,[],[f457,f111]) ).
fof(f460,plain,
( sz00 = sdtpldt0(xb,smndt0(xb))
| ~ spl6_3 ),
inference(forward_demodulation,[],[f446,f258]) ).
fof(f491,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF4,xa)) = sdtpldt0(sdtpldt0(X0,sF4),xa) )
| ~ spl6_1 ),
inference(resolution,[],[f233,f122]) ).
fof(f493,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF4),xa) )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f491,f267]) ).
fof(f571,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtasdt0(xa,X0) ),
inference(resolution,[],[f73,f94]) ).
fof(f573,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) = sdtasdt0(X0,xq) ),
inference(resolution,[],[f73,f92]) ).
fof(f574,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f73,f100]) ).
fof(f649,plain,
sdtasdt0(xq,xn) = sdtasdt0(xn,xq),
inference(resolution,[],[f574,f92]) ).
fof(f657,plain,
sdtasdt0(xq,sK1) = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f649,f114]) ).
fof(f740,plain,
( sdtpldt0(xa,smndt0(xb)) = sdtpldt0(smndt0(xb),xa)
| ~ spl6_3 ),
inference(resolution,[],[f435,f131]) ).
fof(f751,plain,
sdtpldt0(sF3,xa) = sdtpldt0(xa,sF3),
inference(resolution,[],[f435,f148]) ).
fof(f756,plain,
( sdtasdt0(xq,xn) = sdtpldt0(smndt0(xb),xa)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f740,f99]) ).
fof(f758,plain,
( sdtasdt0(xq,sK1) = sdtpldt0(smndt0(xb),xa)
| ~ spl6_3 ),
inference(forward_demodulation,[],[f756,f114]) ).
fof(f860,plain,
sdtasdt0(xq,sK1) = sdtasdt0(sK1,xq),
inference(resolution,[],[f573,f98]) ).
fof(f861,plain,
sdtasdt0(xq,sF2) = sdtasdt0(sF2,xq),
inference(resolution,[],[f573,f141]) ).
fof(f865,plain,
sF3 = sdtasdt0(sF2,xq),
inference(forward_demodulation,[],[f861,f107]) ).
fof(f946,plain,
smndt0(xa) = sdtasdt0(xa,smndt0(sz10)),
inference(resolution,[],[f80,f94]) ).
fof(f949,plain,
smndt0(xn) = sdtasdt0(xn,smndt0(sz10)),
inference(resolution,[],[f80,f100]) ).
fof(f956,plain,
sF2 = sdtasdt0(xn,smndt0(sz10)),
inference(forward_demodulation,[],[f949,f105]) ).
fof(f957,plain,
sF4 = sdtasdt0(xa,smndt0(sz10)),
inference(forward_demodulation,[],[f946,f109]) ).
fof(f964,definition,
( spl6_9
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f965,plain,
( aInteger0(smndt0(sz10))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f966,plain,
( ~ aInteger0(smndt0(sz10))
| spl6_9 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f976,plain,
( ~ aInteger0(sz10)
| spl6_9 ),
inference(resolution,[],[f966,f63]) ).
fof(f977,plain,
( $false
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f976,f62]) ).
fof(f978,plain,
spl6_9,
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f1126,plain,
sF3 = sdtpldt0(sF3,sz00),
inference(resolution,[],[f69,f148]) ).
fof(f1128,plain,
( sF5 = sdtpldt0(sF5,sz00)
| ~ spl6_2 ),
inference(resolution,[],[f69,f127]) ).
fof(f1223,plain,
( sdtasdt0(xa,smndt0(sz10)) = sdtasdt0(smndt0(sz10),xa)
| ~ spl6_9 ),
inference(resolution,[],[f965,f571]) ).
fof(f1226,plain,
( sdtasdt0(xn,smndt0(sz10)) = sdtasdt0(smndt0(sz10),xn)
| ~ spl6_9 ),
inference(resolution,[],[f965,f574]) ).
fof(f1229,plain,
( sF2 = sdtasdt0(smndt0(sz10),xn)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1226,f956]) ).
fof(f1499,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,xb),smndt0(xb)) )
| ~ spl6_3 ),
inference(resolution,[],[f245,f93]) ).
fof(f1510,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,xb),smndt0(xb)) )
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1499,f460]) ).
fof(f1909,plain,
( smndt0(smndt0(xb)) = sdtasdt0(smndt0(sz10),smndt0(xb))
| ~ spl6_3 ),
inference(resolution,[],[f81,f131]) ).
fof(f1913,plain,
( smndt0(sdtasdt0(xq,sK1)) = sdtasdt0(smndt0(sz10),sdtasdt0(xq,sK1))
| ~ spl6_4 ),
inference(resolution,[],[f81,f136]) ).
fof(f1920,plain,
smndt0(sF2) = sdtasdt0(smndt0(sz10),sF2),
inference(resolution,[],[f81,f141]) ).
fof(f1921,plain,
smndt0(sF3) = sdtasdt0(smndt0(sz10),sF3),
inference(resolution,[],[f81,f148]) ).
fof(f1928,plain,
( smndt0(sdtasdt0(sK1,xq)) = sdtasdt0(smndt0(sz10),sdtasdt0(sK1,xq))
| ~ spl6_4 ),
inference(forward_demodulation,[],[f1913,f860]) ).
fof(f2218,plain,
( sdtpldt0(sF3,sz00) = sdtpldt0(sdtpldt0(sF3,xb),smndt0(xb))
| ~ spl6_3 ),
inference(resolution,[],[f1510,f148]) ).
fof(f2220,plain,
( sdtpldt0(sF5,sz00) = sdtpldt0(sdtpldt0(sF5,xb),smndt0(xb))
| ~ spl6_2
| ~ spl6_3 ),
inference(resolution,[],[f1510,f127]) ).
fof(f2221,plain,
( sdtpldt0(sF5,sz00) = sdtpldt0(sdtpldt0(xb,sF5),smndt0(xb))
| ~ spl6_2
| ~ spl6_3 ),
inference(forward_demodulation,[],[f2220,f458]) ).
fof(f2223,plain,
( sdtpldt0(sF3,sz00) = sdtpldt0(sdtpldt0(xb,sF3),smndt0(xb))
| ~ spl6_3 ),
inference(forward_demodulation,[],[f2218,f456]) ).
fof(f2238,plain,
( sF3 = sdtpldt0(sdtpldt0(xb,sF3),smndt0(xb))
| ~ spl6_3 ),
inference(forward_demodulation,[],[f2223,f1126]) ).
fof(f2484,definition,
( spl6_24
<=> aInteger0(smndt0(sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).
fof(f2485,plain,
( aInteger0(smndt0(sF2))
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2486,plain,
( ~ aInteger0(smndt0(sF2))
| spl6_24 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2491,plain,
( ~ aInteger0(sF2)
| spl6_24 ),
inference(resolution,[],[f2486,f63]) ).
fof(f2492,plain,
( $false
| spl6_24 ),
inference(forward_subsumption_resolution,[],[f2491,f141]) ).
fof(f2493,plain,
spl6_24,
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2497,plain,
( smndt0(sF2) = sdtpldt0(smndt0(sF2),sz00)
| ~ spl6_24 ),
inference(resolution,[],[f2485,f69]) ).
fof(f2535,plain,
( sdtpldt0(smndt0(sF2),sz00) = sdtpldt0(sdtpldt0(smndt0(sF2),sF2),xn)
| ~ spl6_24 ),
inference(resolution,[],[f2485,f394]) ).
fof(f2547,plain,
( sdtasdt0(smndt0(sF2),xq) = sdtasdt0(xq,smndt0(sF2))
| ~ spl6_24 ),
inference(resolution,[],[f2485,f573]) ).
fof(f2560,plain,
( sdtpldt0(sz00,xn) = sdtpldt0(smndt0(sF2),sz00)
| ~ spl6_24 ),
inference(forward_demodulation,[],[f2535,f262]) ).
fof(f2588,plain,
( sdtpldt0(sz00,xn) = smndt0(sF2)
| ~ spl6_24 ),
inference(forward_demodulation,[],[f2560,f2497]) ).
fof(f2602,plain,
( xn = smndt0(sF2)
| ~ spl6_24 ),
inference(forward_demodulation,[],[f2588,f341]) ).
fof(f3423,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(xn,xq)) = sdtasdt0(sdtasdt0(smndt0(sz10),xn),xq)
| ~ spl6_9 ),
inference(resolution,[],[f356,f965]) ).
fof(f3458,plain,
( sdtasdt0(sF2,xq) = sdtasdt0(smndt0(sz10),sdtasdt0(xn,xq))
| ~ spl6_9 ),
inference(forward_demodulation,[],[f3423,f1229]) ).
fof(f3478,plain,
( sdtasdt0(sF2,xq) = sdtasdt0(smndt0(sz10),sdtasdt0(xq,sK1))
| ~ spl6_9 ),
inference(forward_demodulation,[],[f3458,f657]) ).
fof(f3498,plain,
( sdtasdt0(sF2,xq) = sdtasdt0(smndt0(sz10),sdtasdt0(sK1,xq))
| ~ spl6_9 ),
inference(forward_demodulation,[],[f3478,f860]) ).
fof(f7010,plain,
( sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(xb),xa)) = sdtpldt0(sdtasdt0(smndt0(sz10),smndt0(xb)),sdtasdt0(smndt0(sz10),xa))
| ~ spl6_3
| ~ spl6_9 ),
inference(resolution,[],[f413,f965]) ).
fof(f9575,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(sF2,xq)) = sdtasdt0(sdtasdt0(smndt0(sz10),sF2),xq)
| ~ spl6_9 ),
inference(resolution,[],[f358,f965]) ).
fof(f9622,plain,
( sdtasdt0(smndt0(sF2),xq) = sdtasdt0(smndt0(sz10),sdtasdt0(sF2,xq))
| ~ spl6_9 ),
inference(forward_demodulation,[],[f9575,f1920]) ).
fof(f9644,plain,
( sdtasdt0(smndt0(sz10),sF3) = sdtasdt0(smndt0(sF2),xq)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f9622,f865]) ).
fof(f9661,plain,
( sdtasdt0(smndt0(sz10),sF3) = sdtasdt0(xq,smndt0(sF2))
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f9644,f2547]) ).
fof(f9670,plain,
( sdtasdt0(xq,xn) = sdtasdt0(smndt0(sz10),sF3)
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f9661,f2602]) ).
fof(f9672,plain,
( sdtasdt0(xq,xn) = smndt0(sF3)
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f9670,f1921]) ).
fof(f9674,plain,
( sdtasdt0(xq,sK1) = smndt0(sF3)
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f9672,f114]) ).
fof(f9675,plain,
( smndt0(sF3) = sdtasdt0(sK1,xq)
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f9674,f860]) ).
fof(f12126,plain,
( sF4 = sdtasdt0(smndt0(sz10),xa)
| ~ spl6_9 ),
inference(forward_demodulation,[],[f1223,f957]) ).
fof(f12200,plain,
( sF5 = sdtpldt0(sdtpldt0(xb,sF5),smndt0(xb))
| ~ spl6_2
| ~ spl6_3 ),
inference(forward_demodulation,[],[f2221,f1128]) ).
fof(f12272,plain,
( sdtasdt0(sF2,xq) = smndt0(sdtasdt0(sK1,xq))
| ~ spl6_4
| ~ spl6_9 ),
inference(forward_demodulation,[],[f3498,f1928]) ).
fof(f12618,plain,
( sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(xb),xa)) = sdtpldt0(smndt0(smndt0(xb)),sdtasdt0(smndt0(sz10),xa))
| ~ spl6_3
| ~ spl6_9 ),
inference(forward_demodulation,[],[f7010,f1909]) ).
fof(f13225,plain,
( sdtasdt0(sF2,xq) = smndt0(smndt0(sF3))
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f12272,f9675]) ).
fof(f13405,plain,
( sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(xb),xa)) = sdtpldt0(smndt0(smndt0(xb)),sF4)
| ~ spl6_3
| ~ spl6_9 ),
inference(forward_demodulation,[],[f12618,f12126]) ).
fof(f13737,plain,
( sF3 = smndt0(smndt0(sF3))
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f13225,f865]) ).
fof(f13836,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(xq,sK1)) = sdtpldt0(smndt0(smndt0(xb)),sF4)
| ~ spl6_3
| ~ spl6_9 ),
inference(forward_demodulation,[],[f13405,f758]) ).
fof(f14029,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(sK1,xq)) = sdtpldt0(smndt0(smndt0(xb)),sF4)
| ~ spl6_3
| ~ spl6_9 ),
inference(forward_demodulation,[],[f13836,f860]) ).
fof(f14103,plain,
( smndt0(sdtasdt0(sK1,xq)) = sdtpldt0(smndt0(smndt0(xb)),sF4)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9 ),
inference(forward_demodulation,[],[f14029,f1928]) ).
fof(f14129,plain,
( smndt0(smndt0(sF3)) = sdtpldt0(smndt0(smndt0(xb)),sF4)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f14103,f9675]) ).
fof(f14136,plain,
( sF3 = sdtpldt0(smndt0(smndt0(xb)),sF4)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24 ),
inference(forward_demodulation,[],[f14129,f13737]) ).
fof(f14399,definition,
( spl6_52
<=> aInteger0(smndt0(smndt0(xb))) ),
introduced(definition,[new_symbols(definition,[spl6_52])],[avatar_definition]) ).
fof(f14400,plain,
( aInteger0(smndt0(smndt0(xb)))
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f14399]) ).
fof(f14401,plain,
( ~ aInteger0(smndt0(smndt0(xb)))
| spl6_52 ),
inference(avatar_component_clause,[],[f14399]) ).
fof(f15662,plain,
( ~ aInteger0(smndt0(xb))
| spl6_52 ),
inference(resolution,[],[f14401,f63]) ).
fof(f15663,plain,
( $false
| ~ spl6_3
| spl6_52 ),
inference(forward_subsumption_resolution,[],[f15662,f131]) ).
fof(f15664,plain,
( ~ spl6_3
| spl6_52 ),
inference(avatar_contradiction_clause,[],[f15663]) ).
fof(f15668,plain,
( smndt0(smndt0(xb)) = sdtpldt0(smndt0(smndt0(xb)),sz00)
| ~ spl6_52 ),
inference(resolution,[],[f14400,f69]) ).
fof(f15740,plain,
( sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sF4,xb)) = sdtpldt0(sdtpldt0(smndt0(smndt0(xb)),sF4),xb)
| ~ spl6_1
| ~ spl6_52 ),
inference(resolution,[],[f14400,f375]) ).
fof(f15741,plain,
( sdtpldt0(smndt0(smndt0(xb)),sz00) = sdtpldt0(sdtpldt0(smndt0(smndt0(xb)),smndt0(xb)),xb)
| ~ spl6_3
| ~ spl6_52 ),
inference(resolution,[],[f14400,f377]) ).
fof(f15774,plain,
( sdtpldt0(smndt0(smndt0(xb)),sz00) = sdtpldt0(sdtpldt0(smndt0(smndt0(xb)),sF4),xa)
| ~ spl6_1
| ~ spl6_52 ),
inference(resolution,[],[f14400,f493]) ).
fof(f15832,plain,
( sdtpldt0(sF3,xa) = sdtpldt0(smndt0(smndt0(xb)),sz00)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15774,f14136]) ).
fof(f15858,plain,
( sdtpldt0(sz00,xb) = sdtpldt0(smndt0(smndt0(xb)),sz00)
| ~ spl6_3
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15741,f253]) ).
fof(f15859,plain,
( sdtpldt0(sF3,xb) = sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sF4,xb))
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15740,f14136]) ).
fof(f15922,plain,
( smndt0(smndt0(xb)) = sdtpldt0(sF3,xa)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15832,f15668]) ).
fof(f15934,plain,
( sdtpldt0(sz00,xb) = smndt0(smndt0(xb))
| ~ spl6_3
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15858,f15668]) ).
fof(f15935,plain,
( sdtpldt0(sF3,xb) = sdtpldt0(smndt0(smndt0(xb)),sF5)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15859,f459]) ).
fof(f15960,plain,
( smndt0(smndt0(xb)) = sdtpldt0(xa,sF3)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15922,f751]) ).
fof(f15964,plain,
( xb = smndt0(smndt0(xb))
| ~ spl6_3
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15934,f339]) ).
fof(f15965,plain,
( sdtpldt0(xb,sF3) = sdtpldt0(smndt0(smndt0(xb)),sF5)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15935,f456]) ).
fof(f15978,plain,
( xb = sdtpldt0(xa,sF3)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15964,f15960]) ).
fof(f15979,plain,
( sdtpldt0(xb,sF3) = sdtpldt0(sdtpldt0(xa,sF3),sF5)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15965,f15960]) ).
fof(f15990,plain,
( sdtpldt0(xb,sF3) = sdtpldt0(xb,sF5)
| ~ spl6_1
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f15979,f15978]) ).
fof(f18845,plain,
( sF5 = sdtpldt0(sdtpldt0(xb,sF3),smndt0(xb))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(superposition,[],[f12200,f15990]) ).
fof(f18853,plain,
( sF3 = sF5
| ~ spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_demodulation,[],[f18845,f2238]) ).
fof(f18857,plain,
( $false
| ~ spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(forward_subsumption_resolution,[],[f18853,f112]) ).
fof(f18858,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(avatar_contradiction_clause,[],[f18857]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f128]) ).
cnf(s3,plain,
spl6_1,
inference(sat_conversion,[],[f143]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f150]) ).
cnf(s5,plain,
spl6_3,
inference(sat_conversion,[],[f244]) ).
cnf(s11,plain,
spl6_9,
inference(sat_conversion,[],[f978]) ).
cnf(s26,plain,
spl6_24,
inference(sat_conversion,[],[f2493]) ).
cnf(s61,plain,
( ~ spl6_3
| spl6_52 ),
inference(sat_conversion,[],[f15664]) ).
cnf(s71,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_3
| ~ spl6_4
| ~ spl6_9
| ~ spl6_24
| ~ spl6_52 ),
inference(sat_conversion,[],[f18858]) ).
cnf(s93,plain,
spl6_52,
inference(rat,[],[s61,s5]) ).
cnf(s97,plain,
~ spl6_2,
inference(rat,[],[s71,s93,s26,s11,s4,s5,s3]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s1,s97,s3]) ).
fof(f18866,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM426+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.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
% 0.11/0.38 % DateTime : Sun Sep 27 19:49:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.17/2.94 % (1738582)Detected formulas, will run a generic FOF schedule.
% 14.17/2.94 % (1738692)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2574627297:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.17/2.94 % (1738688)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=719158764:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.17/2.94 % (1738689)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=2806382937:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.17/2.94 % (1738694)dis-21_1_sil=8000:lcm=predicate:random_seed=4057176751: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)
% 14.17/2.94 % (1738690)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=3815798610:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.17/2.94 % (1738693)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3762898083:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.17/2.94 % (1738691)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2270998300:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.17/2.94 % (1738694)Refutation not found, incomplete strategy
% 14.17/2.94 % (1738694)------------------------------
% 14.17/2.94 % (1738694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/2.94 % (1738694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.94 % (1738694)CaDiCaL version: 2.1.3
% 14.17/2.94 % (1738694)Termination reason: Refutation not found, incomplete strategy
% 14.17/2.94 % (1738694)Time elapsed: 0.004 s
% 14.17/2.94 % (1738694)Peak memory usage: 88 MB
% 14.17/2.94 % (1738694)Instructions burned: 4 (million)
% 14.17/2.94 % (1738692)Instruction limit reached!
% 14.17/2.94 % (1738692)------------------------------
% 14.17/2.94 % (1738692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/2.94 % (1738692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.94 % (1738692)CaDiCaL version: 2.1.3
% 14.17/2.94 % (1738692)Termination reason: Instruction limit
% 14.17/2.94 % (1738692)Termination phase: Saturation
% 14.17/2.94 % (1738692)Time elapsed: 0.037 s
% 14.17/2.94 % (1738692)Peak memory usage: 89 MB
% 14.17/2.94 % (1738692)Instructions burned: 120 (million)
% 14.17/2.94 % (1738691)Instruction limit reached!
% 14.17/2.94 % (1738691)------------------------------
% 14.17/2.94 % (1738691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/2.94 % (1738691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.94 % (1738691)CaDiCaL version: 2.1.3
% 14.17/2.94 % (1738691)Termination reason: Instruction limit
% 14.17/2.94 % (1738691)Termination phase: Saturation
% 14.17/2.94 % (1738691)Time elapsed: 0.068 s
% 14.17/2.94 % (1738691)Peak memory usage: 89 MB
% 14.17/2.94 % (1738691)Instructions burned: 110 (million)
% 14.17/2.94 % (1738693)Instruction limit reached!
% 14.17/2.94 % (1738693)------------------------------
% 14.17/2.94 % (1738693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/2.94 % (1738693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.94 % (1738693)CaDiCaL version: 2.1.3
% 14.17/2.94 % (1738693)Termination reason: Instruction limit
% 14.17/2.94 % (1738693)Termination phase: Saturation
% 14.17/2.94 % (1738693)Time elapsed: 0.089 s
% 14.17/2.94 % (1738693)Peak memory usage: 90 MB
% 14.17/2.94 % (1738693)Instructions burned: 140 (million)
% 14.17/2.94 % (1738702)lrs+10_1_sil=8000:sp=occurrence:random_seed=1287382360:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 14.17/2.94 % (1738715)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1416912171:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.17/2.94 % (1738702)Instruction limit reached!
% 14.17/2.94 % (1738702)------------------------------
% 14.17/2.94 % (1738702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/2.94 % (1738702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.94 % (1738702)CaDiCaL version: 2.1.3
% 14.17/2.94 % (1738702)Termination reason: Instruction limit
% 14.17/2.94 % (1738702)Termination phase: Saturation
% 18.36/3.58 % (1738702)Time elapsed: 0.087 s
% 18.36/3.58 % (1738702)Peak memory usage: 93 MB
% 18.36/3.58 % (1738702)Instructions burned: 288 (million)
% 18.36/3.58 % (1738694)------------------------------
% 18.36/3.58 % (1738694)------------------------------
% 18.36/3.58 % (1738725)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3167651965:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.36/3.58 % (1738715)Instruction limit reached!
% 18.36/3.58 % (1738715)------------------------------
% 18.36/3.58 % (1738715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.58 % (1738715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.58 % (1738715)CaDiCaL version: 2.1.3
% 18.36/3.58 % (1738715)Termination reason: Instruction limit
% 18.36/3.58 % (1738715)Termination phase: Saturation
% 18.36/3.58 % (1738715)Time elapsed: 0.074 s
% 18.36/3.58 % (1738715)Peak memory usage: 92 MB
% 18.36/3.58 % (1738715)Instructions burned: 157 (million)
% 18.36/3.58 % (1738741)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=2920881358:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.36/3.58 % (1738749)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=638932370:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.36/3.58 % (1738741)Instruction limit reached!
% 18.36/3.58 % (1738741)------------------------------
% 18.36/3.58 % (1738741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.58 % (1738741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.58 % (1738741)CaDiCaL version: 2.1.3
% 18.36/3.58 % (1738741)Termination reason: Instruction limit
% 18.36/3.58 % (1738741)Termination phase: Saturation
% 18.36/3.58 % (1738741)Time elapsed: 0.061 s
% 18.36/3.58 % (1738741)Peak memory usage: 94 MB
% 18.36/3.58 % (1738741)Instructions burned: 249 (million)
% 18.36/3.58 % (1738725)Instruction limit reached!
% 18.36/3.58 % (1738725)------------------------------
% 18.36/3.58 % (1738725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.58 % (1738725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.58 % (1738725)CaDiCaL version: 2.1.3
% 18.36/3.58 % (1738725)Termination reason: Instruction limit
% 18.36/3.58 % (1738725)Termination phase: Saturation
% 18.36/3.58 % (1738725)Time elapsed: 0.202 s
% 18.36/3.58 % (1738725)Peak memory usage: 93 MB
% 18.36/3.58 % (1738725)Instructions burned: 326 (million)
% 18.36/3.58 % (1738768)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=837697516:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.36/3.58 % (1738774)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3295847568:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.36/3.58 % (1738774)Instruction limit reached!
% 18.36/3.58 % (1738774)------------------------------
% 18.36/3.58 % (1738774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.58 % (1738774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.58 % (1738774)CaDiCaL version: 2.1.3
% 18.36/3.58 % (1738774)Termination reason: Instruction limit
% 18.36/3.58 % (1738774)Termination phase: Saturation
% 18.36/3.58 % (1738774)Time elapsed: 0.041 s
% 18.36/3.58 % (1738774)Peak memory usage: 91 MB
% 18.36/3.58 % (1738774)Instructions burned: 113 (million)
% 18.36/3.58 % (1738749)Instruction limit reached!
% 18.36/3.58 % (1738749)------------------------------
% 18.36/3.58 % (1738749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.36/3.58 % (1738749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/3.58 % (1738749)CaDiCaL version: 2.1.3
% 18.36/3.58 % (1738749)Termination reason: Instruction limit
% 18.36/3.58 % (1738749)Termination phase: Saturation
% 18.36/3.58 % (1738749)Time elapsed: 0.167 s
% 18.36/3.58 % (1738749)Peak memory usage: 90 MB
% 18.36/3.58 % (1738749)Instructions burned: 295 (million)
% 18.36/3.58 % (1738775)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=168241703:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.36/3.58 % (1738778)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=634243168:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 18.36/3.58 % (1738775)Instruction limit reached!
% 18.36/3.58 % (1738775)------------------------------
% 18.36/3.58 % (1738775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738775)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738775)Termination reason: Instruction limit
% 20.25/3.83 % (1738775)Termination phase: Saturation
% 20.25/3.83 % (1738775)Time elapsed: 0.064 s
% 20.25/3.83 % (1738775)Peak memory usage: 89 MB
% 20.25/3.83 % (1738775)Instructions burned: 129 (million)
% 20.25/3.83 % (1738779)lrs+10_1_sil=8000:sp=occurrence:random_seed=3788257764:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 20.25/3.83 % (1738778)Instruction limit reached!
% 20.25/3.83 % (1738778)------------------------------
% 20.25/3.83 % (1738778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738778)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738778)Termination reason: Instruction limit
% 20.25/3.83 % (1738778)Termination phase: Saturation
% 20.25/3.83 % (1738778)Time elapsed: 0.033 s
% 20.25/3.83 % (1738778)Peak memory usage: 89 MB
% 20.25/3.83 % (1738778)Instructions burned: 116 (million)
% 20.25/3.83 % (1738782)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1892927898:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 20.25/3.83 % (1738784)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3395108088:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 20.25/3.83 % (1738782)Instruction limit reached!
% 20.25/3.83 % (1738782)------------------------------
% 20.25/3.83 % (1738782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738782)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738782)Termination reason: Instruction limit
% 20.25/3.83 % (1738782)Termination phase: Saturation
% 20.25/3.83 % (1738782)Time elapsed: 0.255 s
% 20.25/3.83 % (1738782)Peak memory usage: 94 MB
% 20.25/3.83 % (1738782)Instructions burned: 437 (million)
% 20.25/3.83 % (1738779)Instruction limit reached!
% 20.25/3.83 % (1738779)------------------------------
% 20.25/3.83 % (1738779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738779)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738779)Termination reason: Instruction limit
% 20.25/3.83 % (1738779)Termination phase: Saturation
% 20.25/3.83 % (1738779)Time elapsed: 0.501 s
% 20.25/3.83 % (1738779)Peak memory usage: 103 MB
% 20.25/3.83 % (1738779)Instructions burned: 907 (million)
% 20.25/3.83 % (1738787)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=960330514:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 20.25/3.83 % (1738788)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2696710079:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 20.25/3.83 % (1738787)Instruction limit reached!
% 20.25/3.83 % (1738787)------------------------------
% 20.25/3.83 % (1738787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738787)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738787)Termination reason: Instruction limit
% 20.25/3.83 % (1738787)Termination phase: Saturation
% 20.25/3.83 % (1738787)Time elapsed: 0.113 s
% 20.25/3.83 % (1738787)Peak memory usage: 91 MB
% 20.25/3.83 % (1738787)Instructions burned: 135 (million)
% 20.25/3.83 % (1738791)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2064822646:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 20.25/3.83 % (1738788)Instruction limit reached!
% 20.25/3.83 % (1738788)------------------------------
% 20.25/3.83 % (1738788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738788)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738788)Termination reason: Instruction limit
% 20.25/3.83 % (1738788)Termination phase: Saturation
% 20.25/3.83 % (1738788)Time elapsed: 0.377 s
% 20.25/3.83 % (1738788)Peak memory usage: 97 MB
% 20.25/3.83 % (1738788)Instructions burned: 592 (million)
% 20.25/3.83 % (1738768)Instruction limit reached!
% 20.25/3.83 % (1738768)------------------------------
% 20.25/3.83 % (1738768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738768)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738768)Termination reason: Instruction limit
% 20.25/3.83 % (1738768)Termination phase: Saturation
% 20.25/3.83 % (1738768)Time elapsed: 1.431 s
% 20.25/3.83 % (1738768)Peak memory usage: 144 MB
% 20.25/3.83 % (1738768)Instructions burned: 2350 (million)
% 20.25/3.83 % (1738793)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=3321058615:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 20.25/3.83 % (1738793)Instruction limit reached!
% 20.25/3.83 % (1738793)------------------------------
% 20.25/3.83 % (1738793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738793)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738793)Termination reason: Instruction limit
% 20.25/3.83 % (1738793)Termination phase: Saturation
% 20.25/3.83 % (1738793)Time elapsed: 0.067 s
% 20.25/3.83 % (1738793)Peak memory usage: 91 MB
% 20.25/3.83 % (1738793)Instructions burned: 127 (million)
% 20.25/3.83 % (1738794)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1548447391:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 20.25/3.83 % (1738794)Instruction limit reached!
% 20.25/3.83 % (1738794)------------------------------
% 20.25/3.83 % (1738794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738794)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738794)Termination reason: Instruction limit
% 20.25/3.83 % (1738794)Termination phase: Saturation
% 20.25/3.83 % (1738794)Time elapsed: 0.070 s
% 20.25/3.83 % (1738794)Peak memory usage: 90 MB
% 20.25/3.83 % (1738794)Instructions burned: 135 (million)
% 20.25/3.83 % (1738796)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4132923147:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 20.25/3.83 % (1738796)Instruction limit reached!
% 20.25/3.83 % (1738796)------------------------------
% 20.25/3.83 % (1738796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738796)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738796)Termination reason: Instruction limit
% 20.25/3.83 % (1738796)Termination phase: Saturation
% 20.25/3.83 % (1738796)Time elapsed: 0.073 s
% 20.25/3.83 % (1738796)Peak memory usage: 92 MB
% 20.25/3.83 % (1738796)Instructions burned: 143 (million)
% 20.25/3.83 % (1738798)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=592191083:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 20.25/3.83 % (1738798)Refutation not found, incomplete strategy
% 20.25/3.83 % (1738798)------------------------------
% 20.25/3.83 % (1738798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738798)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738798)Termination reason: Refutation not found, incomplete strategy
% 20.25/3.83 % (1738798)Time elapsed: 0.002 s
% 20.25/3.83 % (1738798)Peak memory usage: 88 MB
% 20.25/3.83 % (1738798)Instructions burned: 1 (million)
% 20.25/3.83 % (1738800)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=2179884831:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 20.25/3.83 % (1738784)Instruction limit reached!
% 20.25/3.83 % (1738784)------------------------------
% 20.25/3.83 % (1738784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738784)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738784)Termination reason: Instruction limit
% 20.25/3.83 % (1738784)Termination phase: Saturation
% 20.25/3.83 % (1738784)Time elapsed: 1.641 s
% 20.25/3.83 % (1738784)Peak memory usage: 171 MB
% 20.25/3.83 % (1738784)Instructions burned: 5203 (million)
% 20.25/3.83 % (1738688)First to succeed.
% 20.25/3.83 % (1738688)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1738582"
% 20.25/3.83 % (1738798)------------------------------
% 20.25/3.83 % (1738798)------------------------------
% 20.25/3.83 % (1738803)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=1392404358:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 20.25/3.83 % (1738803)Instruction limit reached!
% 20.25/3.83 % (1738803)------------------------------
% 20.25/3.83 % (1738803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.25/3.83 % (1738803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.83 % (1738803)CaDiCaL version: 2.1.3
% 20.25/3.83 % (1738803)Termination reason: Instruction limit
% 20.25/3.83 % (1738803)Termination phase: Saturation
% 20.25/3.83 % (1738803)Time elapsed: 0.045 s
% 20.25/3.83 % (1738803)Peak memory usage: 93 MB
% 20.25/3.83 % (1738803)Instructions burned: 153 (million)
% 20.25/3.83 % (1738804)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=227857439:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 20.25/3.83 % (1738688)Refutation found. Thanks to Tanya!
% 20.25/3.83 % SZS status Theorem for theBenchmark
% 20.25/3.83 % SZS output start Proof for theBenchmark
% See solution above
% 21.36/3.93 % (1738688)------------------------------
% 21.36/3.93 % (1738688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/3.93 % (1738688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/3.93 % (1738688)CaDiCaL version: 2.1.3
% 21.36/3.93 % (1738688)Termination reason: Refutation
% 21.36/3.93 % (1738688)Time elapsed: 2.528 s
% 21.36/3.93 % (1738688)Peak memory usage: 164 MB
% 21.36/3.93 % (1738688)Instructions burned: 4296 (million)
% 21.36/3.93 % (1738688)------------------------------
% 21.36/3.93 % (1738688)------------------------------
% 21.36/3.93 % (1738582)Success in time 2.97 s
% 21.36/3.93 % Vampire exiting
%------------------------------------------------------------------------------