%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM424+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 12:15:07 PM UTC 2026
% Result : Theorem 34.44s 5.80s
% Output : Refutation 35.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 22
% Syntax : Number of formulae : 178 ( 48 unt; 8 def)
% Number of atoms : 475 ( 149 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 547 ( 250 ~; 237 |; 45 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 161 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
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(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,conjecture,
( ( ? [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(xa)) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ( ( ? [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(xa)) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,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(xa)) = sdtasdt0(xq,X1) )
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ) ),
inference(rectify,[],[f23]) ).
fof(f26,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f29]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f34,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f37,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(f38,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f37]) ).
fof(f42,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(f43,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,[],[f42]) ).
fof(f45,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f53,plain,
( ! [X1] :
( ~ aInteger0(X1)
| sdtpldt0(xb,smndt0(xa)) != sdtasdt0(xq,X1) )
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(ennf_transformation,[],[f24]) ).
fof(f54,plain,
( ! [X1] :
( ~ aInteger0(X1)
| sdtpldt0(xb,smndt0(xa)) != sdtasdt0(xq,X1) )
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f56,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f60,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f63,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f65,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f86,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f21]) ).
fof(f87,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f21]) ).
fof(f88,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f21]) ).
fof(f89,plain,
! [X1] :
( sdtpldt0(xb,smndt0(xa)) != sdtasdt0(xq,X1)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f90,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f91,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f98,definition,
sF2 = smndt0(xa),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f99,plain,
smndt0(xa) = sF2,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF3 = sdtpldt0(xb,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f101,plain,
sdtpldt0(xb,sF2) = sF3,
inference(reorient_equations,[],[f100]) ).
fof(f103,definition,
sF4 = smndt0(xb),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f104,plain,
smndt0(xb) = sF4,
inference(reorient_equations,[],[f103]) ).
fof(f105,definition,
sF5 = sdtpldt0(xa,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f106,plain,
sdtpldt0(xa,sF4) = sF5,
inference(reorient_equations,[],[f105]) ).
fof(f108,definition,
sF6 = sdtasdt0(xq,sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f109,plain,
sdtasdt0(xq,sK1) = sF6,
inference(reorient_equations,[],[f108]) ).
fof(f110,plain,
sF5 = sF6,
inference(definition_folding,[],[f90,f109,f106,f104]) ).
fof(f111,definition,
! [X1] : sF7(X1) = sdtasdt0(xq,X1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f112,plain,
! [X1] : sdtasdt0(xq,X1) = sF7(X1),
inference(reorient_equations,[],[f111]) ).
fof(f113,plain,
! [X1] :
( sF3 != sF7(X1)
| ~ aInteger0(X1) ),
inference(definition_folding,[],[f89,f112,f101,f99]) ).
fof(f115,plain,
sdtasdt0(xq,sK1) = sF5,
inference(forward_demodulation,[],[f109,f110]) ).
fof(f116,plain,
sF5 = sF7(sK1),
inference(forward_demodulation,[],[f115,f112]) ).
fof(f129,plain,
! [X0] :
( sdtpldt0(xb,sdtpldt0(sF2,X0)) = sdtpldt0(sF3,X0)
| ~ aInteger0(sF2)
| ~ aInteger0(xb)
| ~ aInteger0(X0) ),
inference(superposition,[],[f60,f101]) ).
fof(f130,plain,
! [X0] :
( sdtpldt0(xa,sdtpldt0(sF4,X0)) = sdtpldt0(sF5,X0)
| ~ aInteger0(sF4)
| ~ aInteger0(xa)
| ~ aInteger0(X0) ),
inference(superposition,[],[f60,f106]) ).
fof(f138,plain,
! [X0] :
( sdtpldt0(xa,sdtpldt0(sF4,X0)) = sdtpldt0(sF5,X0)
| ~ aInteger0(sF4)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f130,f88]) ).
fof(f139,plain,
! [X0] :
( sdtpldt0(xb,sdtpldt0(sF2,X0)) = sdtpldt0(sF3,X0)
| ~ aInteger0(sF2)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f129,f87]) ).
fof(f142,plain,
( aInteger0(sF2)
| ~ aInteger0(xa) ),
inference(superposition,[],[f57,f99]) ).
fof(f143,plain,
( aInteger0(sF4)
| ~ aInteger0(xb) ),
inference(superposition,[],[f57,f104]) ).
fof(f144,plain,
aInteger0(sF4),
inference(forward_subsumption_resolution,[],[f143,f87]) ).
fof(f145,plain,
aInteger0(sF2),
inference(forward_subsumption_resolution,[],[f142,f88]) ).
fof(f146,plain,
! [X0] :
( sdtpldt0(xa,sdtpldt0(sF4,X0)) = sdtpldt0(sF5,X0)
| ~ aInteger0(X0) ),
inference(backward_subsumption_resolution,[],[f138,f144]) ).
fof(f147,plain,
! [X0] :
( sdtpldt0(xb,sdtpldt0(sF2,X0)) = sdtpldt0(sF3,X0)
| ~ aInteger0(X0) ),
inference(backward_subsumption_resolution,[],[f139,f145]) ).
fof(f149,plain,
( sz00 = sdtpldt0(xb,sF4)
| ~ aInteger0(xb) ),
inference(superposition,[],[f65,f104]) ).
fof(f153,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X0),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(smndt0(X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f60,f65]) ).
fof(f155,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X0),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(smndt0(X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f159,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X0),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f155,f57]) ).
fof(f162,plain,
sz00 = sdtpldt0(xb,sF4),
inference(forward_subsumption_resolution,[],[f149,f87]) ).
fof(f169,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(X0))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f60,f64]) ).
fof(f170,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(X0))
| ~ aInteger0(X1) ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f170,f57]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),sdtpldt0(X1,sdtpldt0(X2,X0)))
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f171,f60]) ).
fof(f184,plain,
! [X2,X0,X1] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),sdtpldt0(X1,sdtpldt0(X2,X0)))
| ~ aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f188,plain,
! [X2,X0,X1] :
( sdtpldt0(sz00,X0) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),sdtpldt0(X1,sdtpldt0(X2,X0)))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f184,f58]) ).
fof(f235,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X0)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(X0)) ),
inference(superposition,[],[f159,f61]) ).
fof(f238,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X0)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(X0)) ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f256,plain,
! [X0,X1] :
( sdtpldt0(sz00,X1) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X0)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f238,f57]) ).
fof(f272,plain,
( aInteger0(sF5)
| ~ aInteger0(xa)
| ~ aInteger0(sF4) ),
inference(superposition,[],[f58,f106]) ).
fof(f273,plain,
( aInteger0(sF3)
| ~ aInteger0(xb)
| ~ aInteger0(sF2) ),
inference(superposition,[],[f58,f101]) ).
fof(f280,plain,
( aInteger0(sF3)
| ~ aInteger0(sF2) ),
inference(forward_subsumption_resolution,[],[f273,f87]) ).
fof(f281,plain,
( aInteger0(sF5)
| ~ aInteger0(sF4) ),
inference(forward_subsumption_resolution,[],[f272,f88]) ).
fof(f284,plain,
aInteger0(sF3),
inference(forward_subsumption_resolution,[],[f280,f145]) ).
fof(f285,plain,
aInteger0(sF5),
inference(forward_subsumption_resolution,[],[f281,f144]) ).
fof(f386,plain,
! [X0,X1] :
( sdtasdt0(xq,sdtasdt0(X0,X1)) = sdtasdt0(sF7(X0),X1)
| ~ aInteger0(X0)
| ~ aInteger0(xq)
| ~ aInteger0(X1) ),
inference(superposition,[],[f66,f112]) ).
fof(f390,plain,
! [X0,X1] :
( sdtasdt0(xq,sdtasdt0(X0,X1)) = sdtasdt0(sF7(X0),X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f386,f86]) ).
fof(f391,plain,
! [X0,X1] :
( sdtasdt0(sF7(X0),X1) = sF7(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_demodulation,[],[f390,f112]) ).
fof(f392,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(sz00) ),
inference(superposition,[],[f62,f65]) ).
fof(f426,plain,
( sz00 = smndt0(sz00)
| ~ aInteger0(sz00) ),
inference(forward_subsumption_resolution,[],[f392,f57]) ).
fof(f431,plain,
sz00 = smndt0(sz00),
inference(forward_subsumption_resolution,[],[f426,f55]) ).
fof(f641,plain,
! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xa,sdtpldt0(X0,sF2))
| ~ aInteger0(xa)
| ~ aInteger0(X0) ),
inference(superposition,[],[f256,f99]) ).
fof(f642,plain,
! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xb,sdtpldt0(X0,sF4))
| ~ aInteger0(xb)
| ~ aInteger0(X0) ),
inference(superposition,[],[f256,f104]) ).
fof(f675,plain,
! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xb,sdtpldt0(X0,sF4))
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f642,f87]) ).
fof(f676,plain,
! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(xa,sdtpldt0(X0,sF2))
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f641,f88]) ).
fof(f1220,plain,
! [X0,X1] :
( sF3 != sdtasdt0(sF7(X0),X1)
| ~ aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(superposition,[],[f113,f391]) ).
fof(f1239,plain,
! [X0,X1] :
( sF3 != sdtasdt0(sF7(X0),X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f1220,f59]) ).
fof(f1255,plain,
! [X0] :
( sF3 != sdtasdt0(sF5,X0)
| ~ aInteger0(sK1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f1239,f116]) ).
fof(f1266,plain,
! [X0] :
( sF3 != sdtasdt0(sF5,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[],[f1255,f91]) ).
fof(f1286,plain,
( sdtpldt0(xa,sF4) = sdtpldt0(sF5,sz00)
| ~ aInteger0(sz00)
| ~ aInteger0(sF4) ),
inference(superposition,[],[f146,f63]) ).
fof(f1305,plain,
( sdtpldt0(xa,sF4) = sdtpldt0(sF5,sz00)
| ~ aInteger0(sF4) ),
inference(forward_subsumption_resolution,[],[f1286,f55]) ).
fof(f1310,plain,
sdtpldt0(xa,sF4) = sdtpldt0(sF5,sz00),
inference(forward_subsumption_resolution,[],[f1305,f144]) ).
fof(f1311,plain,
sF5 = sdtpldt0(sF5,sz00),
inference(forward_demodulation,[],[f1310,f106]) ).
fof(f2035,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sdtpldt0(X1,sz00)),sdtpldt0(X1,X0)) = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f188,f62]) ).
fof(f2089,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sdtpldt0(X1,sz00)),sdtpldt0(X1,X0)) = X0
| ~ aInteger0(X0)
| ~ aInteger0(sz00)
| ~ aInteger0(X1) ),
inference(duplicate_literal_removal,[],[f2035]) ).
fof(f2150,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sdtpldt0(X1,sz00)),sdtpldt0(X1,X0)) = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f2089,f55]) ).
fof(f2734,plain,
! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X0) ),
inference(superposition,[],[f2150,f63]) ).
fof(f2835,plain,
! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X0,X1)) = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(duplicate_literal_removal,[],[f2734]) ).
fof(f2917,plain,
! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X1,X0)) = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(superposition,[],[f2835,f61]) ).
fof(f2993,plain,
! [X0,X1] :
( sdtpldt0(smndt0(X0),sdtpldt0(X1,X0)) = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(duplicate_literal_removal,[],[f2917]) ).
fof(f3095,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sz00,sdtpldt0(X1,X0))
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(X1,X0))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[],[f159,f2993]) ).
fof(f3117,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sz00,sdtpldt0(X1,X0))
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(X1,X0))
| ~ aInteger0(X1) ),
inference(duplicate_literal_removal,[],[f3095]) ).
fof(f3151,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sz00,sdtpldt0(X1,X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(forward_subsumption_resolution,[],[f3117,f58]) ).
fof(f4118,plain,
( sdtpldt0(sz00,sF2) = sdtpldt0(sF3,sF4)
| ~ aInteger0(sF4)
| ~ aInteger0(sF2) ),
inference(superposition,[],[f147,f675]) ).
fof(f4157,plain,
( sdtpldt0(sz00,sF2) = sdtpldt0(sF3,sF4)
| ~ aInteger0(sF2) ),
inference(forward_subsumption_resolution,[],[f4118,f144]) ).
fof(f4167,plain,
sdtpldt0(sz00,sF2) = sdtpldt0(sF3,sF4),
inference(forward_subsumption_resolution,[],[f4157,f145]) ).
fof(f4178,plain,
( sdtpldt0(sz00,sF4) = sdtpldt0(smndt0(sF3),sdtpldt0(sz00,sF2))
| ~ aInteger0(sF3)
| ~ aInteger0(sF4) ),
inference(superposition,[],[f171,f4167]) ).
fof(f4190,plain,
( sF4 = sdtpldt0(smndt0(sF3),sdtpldt0(sz00,sF2))
| ~ aInteger0(sF4)
| ~ aInteger0(sF3) ),
inference(superposition,[],[f2835,f4167]) ).
fof(f4195,plain,
( sF4 = sdtpldt0(smndt0(sF3),sdtpldt0(sz00,sF2))
| ~ aInteger0(sF3) ),
inference(forward_subsumption_resolution,[],[f4190,f144]) ).
fof(f4207,plain,
( sdtpldt0(sz00,sF4) = sdtpldt0(smndt0(sF3),sdtpldt0(sz00,sF2))
| ~ aInteger0(sF4) ),
inference(forward_subsumption_resolution,[],[f4178,f284]) ).
fof(f4216,plain,
sF4 = sdtpldt0(smndt0(sF3),sdtpldt0(sz00,sF2)),
inference(forward_subsumption_resolution,[],[f4195,f284]) ).
fof(f4228,plain,
sdtpldt0(sz00,sF4) = sdtpldt0(smndt0(sF3),sdtpldt0(sz00,sF2)),
inference(forward_subsumption_resolution,[],[f4207,f144]) ).
fof(f4234,plain,
sF4 = sdtpldt0(sz00,sF4),
inference(forward_demodulation,[],[f4228,f4216]) ).
fof(f4317,plain,
( sdtpldt0(sF5,sF2) = sdtpldt0(sz00,sF4)
| ~ aInteger0(sF2)
| ~ aInteger0(sF4) ),
inference(superposition,[],[f146,f676]) ).
fof(f4356,plain,
( sdtpldt0(sF5,sF2) = sdtpldt0(sz00,sF4)
| ~ aInteger0(sF4) ),
inference(forward_subsumption_resolution,[],[f4317,f145]) ).
fof(f4366,plain,
sdtpldt0(sF5,sF2) = sdtpldt0(sz00,sF4),
inference(forward_subsumption_resolution,[],[f4356,f144]) ).
fof(f4370,plain,
sF4 = sdtpldt0(sF5,sF2),
inference(forward_demodulation,[],[f4366,f4234]) ).
fof(f4523,plain,
( sdtpldt0(sz00,sF4) = sdtpldt0(sF2,sF5)
| ~ aInteger0(sF2)
| ~ aInteger0(sF5) ),
inference(superposition,[],[f3151,f4370]) ).
fof(f4601,plain,
( sdtpldt0(sz00,sF4) = sdtpldt0(sF2,sF5)
| ~ aInteger0(sF5) ),
inference(forward_subsumption_resolution,[],[f4523,f145]) ).
fof(f4648,plain,
sdtpldt0(sz00,sF4) = sdtpldt0(sF2,sF5),
inference(forward_subsumption_resolution,[],[f4601,f285]) ).
fof(f4671,plain,
sF4 = sdtpldt0(sF2,sF5),
inference(forward_demodulation,[],[f4648,f4234]) ).
fof(f4765,plain,
( sdtpldt0(xb,sF4) = sdtpldt0(sF3,sF5)
| ~ aInteger0(sF5) ),
inference(superposition,[],[f147,f4671]) ).
fof(f4803,plain,
sdtpldt0(xb,sF4) = sdtpldt0(sF3,sF5),
inference(forward_subsumption_resolution,[],[f4765,f285]) ).
fof(f4818,plain,
sz00 = sdtpldt0(sF3,sF5),
inference(forward_demodulation,[],[f4803,f162]) ).
fof(f6528,plain,
( sF3 = sdtpldt0(smndt0(sF5),sz00)
| ~ aInteger0(sF3)
| ~ aInteger0(sF5) ),
inference(superposition,[],[f2993,f4818]) ).
fof(f6539,plain,
( sF3 = sdtpldt0(smndt0(sF5),sz00)
| ~ aInteger0(sF5) ),
inference(forward_subsumption_resolution,[],[f6528,f284]) ).
fof(f6561,plain,
sF3 = sdtpldt0(smndt0(sF5),sz00),
inference(forward_subsumption_resolution,[],[f6539,f285]) ).
fof(f16066,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(smndt0(X0),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X0) ),
inference(superposition,[],[f70,f74]) ).
fof(f16093,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(smndt0(X0),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(smndt0(sz10)) ),
inference(duplicate_literal_removal,[],[f16066]) ).
fof(f16130,definition,
( spl8_15
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f16131,plain,
( ~ aInteger0(smndt0(sz10))
| spl8_15 ),
inference(avatar_component_clause,[],[f16130]) ).
fof(f16137,plain,
( ~ aInteger0(sz10)
| spl8_15 ),
inference(resolution,[],[f16131,f57]) ).
fof(f16139,plain,
( $false
| spl8_15 ),
inference(forward_subsumption_resolution,[],[f16137,f56]) ).
fof(f16140,plain,
spl8_15,
inference(avatar_contradiction_clause,[],[f16139]) ).
fof(f16331,definition,
( spl8_17
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(smndt0(X0),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f16332,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = sdtpldt0(smndt0(X0),sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f16331]) ).
fof(f16333,plain,
( ~ spl8_15
| spl8_17 ),
inference(avatar_split_clause,[],[f16093,f16331,f16130]) ).
fof(f16337,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X1),smndt0(X0)) = sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X0) )
| ~ spl8_17 ),
inference(superposition,[],[f16332,f74]) ).
fof(f16429,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(X1),smndt0(X0)) = sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl8_17 ),
inference(duplicate_literal_removal,[],[f16337]) ).
fof(f16575,plain,
( sdtasdt0(sF5,smndt0(sz10)) = sdtpldt0(smndt0(sF5),smndt0(sz00))
| ~ aInteger0(sF5)
| ~ aInteger0(sz00)
| ~ spl8_17 ),
inference(superposition,[],[f16429,f1311]) ).
fof(f16647,plain,
( sdtasdt0(sF5,smndt0(sz10)) = sdtpldt0(smndt0(sF5),smndt0(sz00))
| ~ aInteger0(sz00)
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f16575,f285]) ).
fof(f16716,plain,
( sdtasdt0(sF5,smndt0(sz10)) = sdtpldt0(smndt0(sF5),smndt0(sz00))
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f16647,f55]) ).
fof(f16770,plain,
( sdtpldt0(smndt0(sF5),sz00) = sdtasdt0(sF5,smndt0(sz10))
| ~ spl8_17 ),
inference(forward_demodulation,[],[f16716,f431]) ).
fof(f16796,plain,
( sF3 = sdtasdt0(sF5,smndt0(sz10))
| ~ spl8_17 ),
inference(forward_demodulation,[],[f16770,f6561]) ).
fof(f20776,plain,
( sF3 != sF3
| ~ aInteger0(smndt0(sz10))
| ~ spl8_17 ),
inference(superposition,[],[f1266,f16796]) ).
fof(f20793,plain,
( ~ aInteger0(smndt0(sz10))
| ~ spl8_17 ),
inference(trivial_inequality_removal,[],[f20776]) ).
fof(f20810,plain,
( ~ spl8_15
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f20793,f16331,f16130]) ).
cnf(s3498,plain,
spl8_15,
inference(sat_conversion,[],[f16140]) ).
cnf(s3562,plain,
( ~ spl8_15
| spl8_17 ),
inference(sat_conversion,[],[f16333]) ).
cnf(s4669,plain,
( ~ spl8_15
| ~ spl8_17 ),
inference(sat_conversion,[],[f20810]) ).
cnf(s4672,plain,
~ spl8_17,
inference(rat,[],[s4669,s3498]) ).
cnf(s4675,plain,
$false,
inference(rat,[],[s3562,s4672,s3498]) ).
fof(f20811,plain,
$false,
inference(avatar_sat_refutation,[],[s4675]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM424+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 19:48:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.41/2.36 % (1737537)Detected formulas, will run a generic FOF schedule.
% 10.41/2.36 % (1737546)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=618936329:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.41/2.36 % (1737546)Instruction limit reached!
% 10.41/2.36 % (1737546)------------------------------
% 10.41/2.36 % (1737546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (1737546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (1737546)CaDiCaL version: 2.1.3
% 10.41/2.36 % (1737546)Termination reason: Instruction limit
% 10.41/2.36 % (1737546)Termination phase: Saturation
% 10.41/2.36 % (1737546)Time elapsed: 0.039 s
% 10.41/2.36 % (1737546)Peak memory usage: 89 MB
% 10.41/2.36 % (1737546)Instructions burned: 122 (million)
% 10.41/2.36 % (1737542)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=3421710067:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.41/2.36 % (1737545)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2592233113:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.41/2.36 % (1737543)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=3954107716:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.41/2.36 % (1737544)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=1673700579:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.41/2.36 % (1737547)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2968781277:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.41/2.36 % (1737548)dis-21_1_sil=8000:lcm=predicate:random_seed=2894665613:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.41/2.36 % (1737548)Refutation not found, incomplete strategy
% 10.41/2.36 % (1737548)------------------------------
% 10.41/2.36 % (1737548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (1737548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (1737548)CaDiCaL version: 2.1.3
% 10.41/2.36 % (1737548)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.36 % (1737548)Time elapsed: 0.004 s
% 10.41/2.36 % (1737548)Peak memory usage: 88 MB
% 10.41/2.36 % (1737548)Instructions burned: 4 (million)
% 10.41/2.36 % (1737545)Instruction limit reached!
% 10.41/2.36 % (1737545)------------------------------
% 10.41/2.36 % (1737545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (1737545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (1737545)CaDiCaL version: 2.1.3
% 10.41/2.36 % (1737545)Termination reason: Instruction limit
% 10.41/2.36 % (1737545)Termination phase: Saturation
% 10.41/2.36 % (1737545)Time elapsed: 0.070 s
% 10.41/2.36 % (1737545)Peak memory usage: 89 MB
% 10.41/2.36 % (1737545)Instructions burned: 109 (million)
% 10.41/2.36 % (1737550)lrs+10_1_sil=8000:sp=occurrence:random_seed=3073402692:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.41/2.36 % (1737547)Instruction limit reached!
% 10.41/2.36 % (1737547)------------------------------
% 10.41/2.36 % (1737547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (1737547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (1737547)CaDiCaL version: 2.1.3
% 10.41/2.36 % (1737547)Termination reason: Instruction limit
% 10.41/2.36 % (1737547)Termination phase: Saturation
% 10.41/2.36 % (1737547)Time elapsed: 0.084 s
% 10.41/2.36 % (1737547)Peak memory usage: 89 MB
% 10.41/2.36 % (1737547)Instructions burned: 139 (million)
% 10.41/2.36 % (1737550)Instruction limit reached!
% 10.41/2.36 % (1737550)------------------------------
% 10.41/2.36 % (1737550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (1737550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (1737550)CaDiCaL version: 2.1.3
% 10.41/2.36 % (1737550)Termination reason: Instruction limit
% 10.41/2.36 % (1737550)Termination phase: Saturation
% 10.41/2.36 % (1737550)Time elapsed: 0.090 s
% 10.41/2.36 % (1737550)Peak memory usage: 93 MB
% 10.41/2.36 % (1737550)Instructions burned: 287 (million)
% 18.14/3.43 % (1737557)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3132029925:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.14/3.43 % (1737559)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1544670318:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.14/3.43 % (1737548)------------------------------
% 18.14/3.43 % (1737548)------------------------------
% 18.14/3.43 % (1737560)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=68099233:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.14/3.43 % (1737557)Instruction limit reached!
% 18.14/3.43 % (1737557)------------------------------
% 18.14/3.43 % (1737557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.14/3.43 % (1737557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.43 % (1737557)CaDiCaL version: 2.1.3
% 18.14/3.43 % (1737557)Termination reason: Instruction limit
% 18.14/3.43 % (1737557)Termination phase: Saturation
% 18.14/3.43 % (1737557)Time elapsed: 0.073 s
% 18.14/3.43 % (1737557)Peak memory usage: 91 MB
% 18.14/3.43 % (1737557)Instructions burned: 158 (million)
% 18.14/3.43 % (1737560)Instruction limit reached!
% 18.14/3.43 % (1737560)------------------------------
% 18.14/3.43 % (1737560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.14/3.43 % (1737560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.43 % (1737560)CaDiCaL version: 2.1.3
% 18.14/3.43 % (1737560)Termination reason: Instruction limit
% 18.14/3.43 % (1737560)Termination phase: Saturation
% 18.14/3.43 % (1737560)Time elapsed: 0.064 s
% 18.14/3.43 % (1737560)Peak memory usage: 94 MB
% 18.14/3.43 % (1737560)Instructions burned: 248 (million)
% 18.14/3.43 % (1737564)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3571329356:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.14/3.43 % (1737565)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1373611149:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.14/3.43 % (1737566)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3830472003:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 18.14/3.43 % (1737559)Instruction limit reached!
% 18.14/3.43 % (1737559)------------------------------
% 18.14/3.43 % (1737559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.14/3.43 % (1737559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.43 % (1737559)CaDiCaL version: 2.1.3
% 18.14/3.43 % (1737559)Termination reason: Instruction limit
% 18.14/3.43 % (1737559)Termination phase: Saturation
% 18.14/3.43 % (1737559)Time elapsed: 0.208 s
% 18.14/3.43 % (1737559)Peak memory usage: 93 MB
% 18.14/3.43 % (1737559)Instructions burned: 327 (million)
% 18.14/3.43 % (1737566)Instruction limit reached!
% 18.14/3.43 % (1737566)------------------------------
% 18.14/3.43 % (1737566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.14/3.43 % (1737566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.43 % (1737566)CaDiCaL version: 2.1.3
% 18.14/3.43 % (1737566)Termination reason: Instruction limit
% 18.14/3.43 % (1737566)Termination phase: Saturation
% 18.14/3.43 % (1737566)Time elapsed: 0.042 s
% 18.14/3.43 % (1737566)Peak memory usage: 91 MB
% 18.14/3.43 % (1737566)Instructions burned: 114 (million)
% 18.14/3.43 % (1737571)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1520241797:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 18.14/3.43 % (1737564)Instruction limit reached!
% 18.14/3.43 % (1737564)------------------------------
% 18.14/3.43 % (1737564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.14/3.43 % (1737564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.14/3.43 % (1737564)CaDiCaL version: 2.1.3
% 18.14/3.43 % (1737564)Termination reason: Instruction limit
% 18.14/3.43 % (1737564)Termination phase: Saturation
% 18.14/3.43 % (1737564)Time elapsed: 0.167 s
% 18.14/3.43 % (1737564)Peak memory usage: 90 MB
% 18.14/3.43 % (1737564)Instructions burned: 295 (million)
% 18.14/3.43 % (1737570)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=543369744:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.14/3.43 % (1737571)Instruction limit reached!
% 18.14/3.43 % (1737571)------------------------------
% 18.14/3.43 % (1737571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737571)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737571)Termination reason: Instruction limit
% 34.44/5.80 % (1737571)Termination phase: Saturation
% 34.44/5.80 % (1737571)Time elapsed: 0.036 s
% 34.44/5.80 % (1737571)Peak memory usage: 89 MB
% 34.44/5.80 % (1737571)Instructions burned: 117 (million)
% 34.44/5.80 % (1737570)Instruction limit reached!
% 34.44/5.80 % (1737570)------------------------------
% 34.44/5.80 % (1737570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737570)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737570)Termination reason: Instruction limit
% 34.44/5.80 % (1737570)Termination phase: Saturation
% 34.44/5.80 % (1737570)Time elapsed: 0.064 s
% 34.44/5.80 % (1737570)Peak memory usage: 89 MB
% 34.44/5.80 % (1737570)Instructions burned: 129 (million)
% 34.44/5.80 % (1737575)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2592038634:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 34.44/5.80 % (1737573)lrs+10_1_sil=8000:sp=occurrence:random_seed=1252701797:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 34.44/5.80 % (1737576)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=868217475:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 34.44/5.80 % (1737575)Instruction limit reached!
% 34.44/5.80 % (1737575)------------------------------
% 34.44/5.80 % (1737575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737575)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737575)Termination reason: Instruction limit
% 34.44/5.80 % (1737575)Termination phase: Saturation
% 34.44/5.80 % (1737575)Time elapsed: 0.137 s
% 34.44/5.80 % (1737575)Peak memory usage: 93 MB
% 34.44/5.80 % (1737575)Instructions burned: 439 (million)
% 34.44/5.80 % (1737580)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2843216875:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 34.44/5.80 % (1737580)Instruction limit reached!
% 34.44/5.80 % (1737580)------------------------------
% 34.44/5.80 % (1737580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737580)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737580)Termination reason: Instruction limit
% 34.44/5.80 % (1737580)Termination phase: Saturation
% 34.44/5.80 % (1737580)Time elapsed: 0.032 s
% 34.44/5.80 % (1737580)Peak memory usage: 91 MB
% 34.44/5.80 % (1737580)Instructions burned: 136 (million)
% 34.44/5.80 % (1737582)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4041102228:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 34.44/5.80 % (1737582)Instruction limit reached!
% 34.44/5.80 % (1737582)------------------------------
% 34.44/5.80 % (1737582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737582)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737582)Termination reason: Instruction limit
% 34.44/5.80 % (1737582)Termination phase: Saturation
% 34.44/5.80 % (1737582)Time elapsed: 0.199 s
% 34.44/5.80 % (1737582)Peak memory usage: 98 MB
% 34.44/5.80 % (1737582)Instructions burned: 593 (million)
% 34.44/5.80 % (1737573)Instruction limit reached!
% 34.44/5.80 % (1737573)------------------------------
% 34.44/5.80 % (1737573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737573)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737573)Termination reason: Instruction limit
% 34.44/5.80 % (1737573)Termination phase: Saturation
% 34.44/5.80 % (1737573)Time elapsed: 0.518 s
% 34.44/5.80 % (1737573)Peak memory usage: 102 MB
% 34.44/5.80 % (1737573)Instructions burned: 908 (million)
% 34.44/5.80 % (1737584)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3508832055:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 34.44/5.80 % (1737585)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=1594285933:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 34.44/5.80 % (1737585)Instruction limit reached!
% 34.44/5.80 % (1737585)------------------------------
% 34.44/5.80 % (1737585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737585)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737585)Termination reason: Instruction limit
% 34.44/5.80 % (1737585)Termination phase: Saturation
% 34.44/5.80 % (1737585)Time elapsed: 0.066 s
% 34.44/5.80 % (1737585)Peak memory usage: 91 MB
% 34.44/5.80 % (1737585)Instructions burned: 125 (million)
% 34.44/5.80 % (1737588)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1479399958:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 34.44/5.80 % (1737588)Instruction limit reached!
% 34.44/5.80 % (1737588)------------------------------
% 34.44/5.80 % (1737588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737588)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737588)Termination reason: Instruction limit
% 34.44/5.80 % (1737588)Termination phase: Saturation
% 34.44/5.80 % (1737588)Time elapsed: 0.069 s
% 34.44/5.80 % (1737588)Peak memory usage: 90 MB
% 34.44/5.80 % (1737588)Instructions burned: 134 (million)
% 34.44/5.80 % (1737590)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3504776711:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 34.44/5.80 % (1737590)Instruction limit reached!
% 34.44/5.80 % (1737590)------------------------------
% 34.44/5.80 % (1737590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737590)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737590)Termination reason: Instruction limit
% 34.44/5.80 % (1737590)Termination phase: Saturation
% 34.44/5.80 % (1737590)Time elapsed: 0.074 s
% 34.44/5.80 % (1737590)Peak memory usage: 92 MB
% 34.44/5.80 % (1737590)Instructions burned: 142 (million)
% 34.44/5.80 % (1737565)Instruction limit reached!
% 34.44/5.80 % (1737565)------------------------------
% 34.44/5.80 % (1737565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737565)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737565)Termination reason: Instruction limit
% 34.44/5.80 % (1737565)Termination phase: Saturation
% 34.44/5.80 % (1737565)Time elapsed: 1.464 s
% 34.44/5.80 % (1737565)Peak memory usage: 143 MB
% 34.44/5.80 % (1737565)Instructions burned: 2350 (million)
% 34.44/5.80 % (1737592)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2432659620:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 34.44/5.80 % (1737592)Refutation not found, incomplete strategy
% 34.44/5.80 % (1737592)------------------------------
% 34.44/5.80 % (1737592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737592)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737592)Termination reason: Refutation not found, incomplete strategy
% 34.44/5.80 % (1737592)Time elapsed: 0.002 s
% 34.44/5.80 % (1737592)Peak memory usage: 88 MB
% 34.44/5.80 % (1737592)Instructions burned: 1 (million)
% 34.44/5.80 % (1737593)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=892840570:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 34.44/5.80 % (1737592)------------------------------
% 34.44/5.80 % (1737592)------------------------------
% 34.44/5.80 % (1737596)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=4189455583:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 34.44/5.80 % (1737596)Instruction limit reached!
% 34.44/5.80 % (1737596)------------------------------
% 34.44/5.80 % (1737596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737596)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737596)Termination reason: Instruction limit
% 34.44/5.80 % (1737596)Termination phase: Saturation
% 34.44/5.80 % (1737596)Time elapsed: 0.083 s
% 34.44/5.80 % (1737596)Peak memory usage: 94 MB
% 34.44/5.80 % (1737596)Instructions burned: 151 (million)
% 34.44/5.80 % (1737598)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4011895275:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 34.44/5.80 % (1737576)Instruction limit reached!
% 34.44/5.80 % (1737576)------------------------------
% 34.44/5.80 % (1737576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737576)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737576)Termination reason: Instruction limit
% 34.44/5.80 % (1737576)Termination phase: Saturation
% 34.44/5.80 % (1737576)Time elapsed: 2.994 s
% 34.44/5.80 % (1737576)Peak memory usage: 172 MB
% 34.44/5.80 % (1737576)Instructions burned: 5202 (million)
% 34.44/5.80 % (1737600)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4013680344:i=667:av=off:fsr=off_2960 on theBenchmark for (2960ds/667Mi)
% 34.44/5.80 % (1737600)Instruction limit reached!
% 34.44/5.80 % (1737600)------------------------------
% 34.44/5.80 % (1737600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737600)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737600)Termination reason: Instruction limit
% 34.44/5.80 % (1737600)Termination phase: Saturation
% 34.44/5.80 % (1737600)Time elapsed: 0.343 s
% 34.44/5.80 % (1737600)Peak memory usage: 112 MB
% 34.44/5.80 % (1737600)Instructions burned: 669 (million)
% 34.44/5.80 % (1737602)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2076880455:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 34.44/5.80 % (1737602)Instruction limit reached!
% 34.44/5.80 % (1737602)------------------------------
% 34.44/5.80 % (1737602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737602)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737602)Termination reason: Instruction limit
% 34.44/5.80 % (1737602)Termination phase: Saturation
% 34.44/5.80 % (1737602)Time elapsed: 0.092 s
% 34.44/5.80 % (1737602)Peak memory usage: 91 MB
% 34.44/5.80 % (1737602)Instructions burned: 186 (million)
% 34.44/5.80 % (1737593)First to succeed.
% 34.44/5.80 % (1737593)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1737537"
% 34.44/5.80 % (1737604)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4148815903:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2953 on theBenchmark for (2953ds/193Mi)
% 34.44/5.80 % (1737604)Instruction limit reached!
% 34.44/5.80 % (1737604)------------------------------
% 34.44/5.80 % (1737604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.44/5.80 % (1737604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.80 % (1737604)CaDiCaL version: 2.1.3
% 34.44/5.80 % (1737604)Termination reason: Instruction limit
% 34.44/5.80 % (1737604)Termination phase: Saturation
% 34.44/5.80 % (1737604)Time elapsed: 0.095 s
% 34.44/5.80 % (1737604)Peak memory usage: 89 MB
% 34.44/5.80 % (1737604)Instructions burned: 194 (million)
% 34.44/5.80 % (1737593)Refutation found. Thanks to Tanya!
% 34.44/5.80 % SZS status Theorem for theBenchmark
% 34.44/5.80 % SZS output start Proof for theBenchmark
% See solution above
% 35.47/6.00 % (1737593)------------------------------
% 35.47/6.00 % (1737593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.00 % (1737593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.00 % (1737593)CaDiCaL version: 2.1.3
% 35.47/6.00 % (1737593)Termination reason: Refutation
% 35.47/6.00 % (1737593)Time elapsed: 2.506 s
% 35.47/6.00 % (1737593)Peak memory usage: 161 MB
% 35.47/6.00 % (1737593)Instructions burned: 4281 (million)
% 35.47/6.00 % (1737593)------------------------------
% 35.47/6.00 % (1737593)------------------------------
% 35.47/6.00 % (1737537)Success in time 4.93 s
% 35.47/6.00 % Vampire exiting
%------------------------------------------------------------------------------