%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM428+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:16 PM UTC 2026
% Result : Theorem 17.78s 6.41s
% Output : Refutation 17.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 149 ( 74 unt; 7 def)
% Number of atoms : 340 ( 143 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 305 ( 114 ~; 98 |; 82 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 111 ( 96 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f22,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00
& aInteger0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f23,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(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xc)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,xq) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f24,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(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xc)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,xq) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f26,plain,
~ ( ( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X2] :
( aInteger0(X2)
& sdtpldt0(xa,smndt0(xc)) = sdtasdt0(xq,X2) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,xq) ) ),
inference(rectify,[],[f24]) ).
fof(f27,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f29,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f28]) ).
fof(f32,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(f33,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f35,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f41,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f40]) ).
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(ennf_transformation,[],[f14]) ).
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(flattening,[],[f43]) ).
fof(f56,plain,
( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(xa,smndt0(xc)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(ennf_transformation,[],[f26]) ).
fof(f57,plain,
( ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(xa,smndt0(xc)) != sdtasdt0(xq,X2) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(flattening,[],[f56]) ).
fof(f63,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc)) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X2] :
( aInteger0(X2)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X2) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(rectify,[],[f57]) ).
fof(f64,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc)) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
& aInteger0(sK1)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aInteger0(sK2)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK2)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1),skolemize(X2,sK2)],[f63]) ).
fof(f67,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f73,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f74,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f81,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,[],[f44]) ).
fof(f96,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f22]) ).
fof(f98,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f22]) ).
fof(f99,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f22]) ).
fof(f100,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f22]) ).
fof(f103,plain,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f104,plain,
aInteger0(sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f108,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f111,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f114,definition,
sF3 = smndt0(xc),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f115,plain,
smndt0(xc) = sF3,
inference(reorient_equations,[],[f114]) ).
fof(f116,definition,
sF4 = sdtpldt0(xa,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f117,plain,
sdtpldt0(xa,sF3) = sF4,
inference(reorient_equations,[],[f116]) ).
fof(f118,plain,
! [X0] :
( sdtasdt0(xq,X0) != sF4
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f111,f117,f115]) ).
fof(f120,definition,
sF5 = smndt0(xb),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f121,plain,
smndt0(xb) = sF5,
inference(reorient_equations,[],[f120]) ).
fof(f122,definition,
sF6 = sdtpldt0(xa,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f123,plain,
sdtpldt0(xa,sF5) = sF6,
inference(reorient_equations,[],[f122]) ).
fof(f124,definition,
sF7 = sdtasdt0(xq,sK1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f125,plain,
sdtasdt0(xq,sK1) = sF7,
inference(reorient_equations,[],[f124]) ).
fof(f126,plain,
sF6 = sF7,
inference(definition_folding,[],[f107,f125,f123,f121]) ).
fof(f128,definition,
sF8 = sdtpldt0(xb,sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f129,plain,
sdtpldt0(xb,sF3) = sF8,
inference(reorient_equations,[],[f128]) ).
fof(f130,definition,
sF9 = sdtasdt0(xq,sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f131,plain,
sdtasdt0(xq,sK2) = sF9,
inference(reorient_equations,[],[f130]) ).
fof(f132,plain,
sF8 = sF9,
inference(definition_folding,[],[f103,f131,f129,f115]) ).
fof(f134,plain,
sdtasdt0(xq,sK1) = sF6,
inference(forward_demodulation,[],[f125,f126]) ).
fof(f135,plain,
sdtasdt0(xq,sK2) = sF8,
inference(forward_demodulation,[],[f131,f132]) ).
fof(f140,plain,
( aInteger0(sF3)
| ~ aInteger0(xc) ),
inference(superposition,[],[f67,f115]) ).
fof(f141,plain,
( aInteger0(sF5)
| ~ aInteger0(xb) ),
inference(superposition,[],[f67,f121]) ).
fof(f142,plain,
aInteger0(sF5),
inference(forward_subsumption_resolution,[],[f141,f99]) ).
fof(f143,plain,
aInteger0(sF3),
inference(forward_subsumption_resolution,[],[f140,f96]) ).
fof(f220,plain,
( aInteger0(sF4)
| ~ aInteger0(xa)
| ~ aInteger0(sF3) ),
inference(superposition,[],[f68,f117]) ).
fof(f222,plain,
( aInteger0(sF8)
| ~ aInteger0(xb)
| ~ aInteger0(sF3) ),
inference(superposition,[],[f68,f129]) ).
fof(f225,plain,
( aInteger0(sF8)
| ~ aInteger0(sF3) ),
inference(forward_subsumption_resolution,[],[f222,f99]) ).
fof(f227,plain,
( aInteger0(sF4)
| ~ aInteger0(sF3) ),
inference(forward_subsumption_resolution,[],[f220,f100]) ).
fof(f228,plain,
aInteger0(sF8),
inference(forward_subsumption_resolution,[],[f225,f143]) ).
fof(f230,plain,
aInteger0(sF4),
inference(forward_subsumption_resolution,[],[f227,f143]) ).
fof(f250,plain,
sz00 = sdtpldt0(smndt0(xb),xb),
inference(resolution,[],[f74,f99]) ).
fof(f258,plain,
sz00 = sdtpldt0(sF5,xb),
inference(forward_demodulation,[],[f250,f121]) ).
fof(f324,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) ),
inference(resolution,[],[f71,f100]) ).
fof(f325,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(xb,X0) ),
inference(resolution,[],[f71,f99]) ).
fof(f329,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) ),
inference(resolution,[],[f71,f108]) ).
fof(f332,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF5) = sdtpldt0(sF5,X0) ),
inference(resolution,[],[f71,f142]) ).
fof(f344,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sK1) = sdtasdt0(sK1,X0) ),
inference(resolution,[],[f77,f108]) ).
fof(f345,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sK2) = sdtasdt0(sK2,X0) ),
inference(resolution,[],[f77,f104]) ).
fof(f413,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa) ),
inference(resolution,[],[f70,f100]) ).
fof(f414,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xb)) = sdtpldt0(sdtpldt0(X0,X1),xb) ),
inference(resolution,[],[f70,f99]) ).
fof(f462,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),xq) = sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(X1,xq)) ),
inference(resolution,[],[f80,f98]) ).
fof(f480,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1)) ),
inference(resolution,[],[f81,f108]) ).
fof(f561,plain,
sdtpldt0(sK2,sK1) = sdtpldt0(sK1,sK2),
inference(resolution,[],[f329,f104]) ).
fof(f589,plain,
sdtasdt0(xq,sK1) = sdtasdt0(sK1,xq),
inference(resolution,[],[f344,f98]) ).
fof(f596,plain,
sF6 = sdtasdt0(sK1,xq),
inference(forward_demodulation,[],[f589,f134]) ).
fof(f612,plain,
sdtasdt0(xq,sK2) = sdtasdt0(sK2,xq),
inference(resolution,[],[f345,f98]) ).
fof(f619,plain,
sF8 = sdtasdt0(sK2,xq),
inference(forward_demodulation,[],[f612,f135]) ).
fof(f756,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sK2,sK1)) = sdtpldt0(sdtasdt0(X0,sK2),sdtasdt0(X0,sK1)) ),
inference(resolution,[],[f480,f104]) ).
fof(f760,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X0,sK2),sdtasdt0(X0,sK1)) = sdtasdt0(X0,sdtpldt0(sK1,sK2)) ),
inference(forward_demodulation,[],[f756,f561]) ).
fof(f841,plain,
sF4 = sdtpldt0(sF4,sz00),
inference(resolution,[],[f230,f73]) ).
fof(f1303,plain,
sdtpldt0(xa,sF3) = sdtpldt0(sF3,xa),
inference(resolution,[],[f324,f143]) ).
fof(f1305,plain,
sdtpldt0(xa,sF5) = sdtpldt0(sF5,xa),
inference(resolution,[],[f324,f142]) ).
fof(f1307,plain,
sdtpldt0(sF8,xa) = sdtpldt0(xa,sF8),
inference(resolution,[],[f324,f228]) ).
fof(f1308,plain,
sF6 = sdtpldt0(sF5,xa),
inference(forward_demodulation,[],[f1305,f123]) ).
fof(f1309,plain,
sF4 = sdtpldt0(sF3,xa),
inference(forward_demodulation,[],[f1303,f117]) ).
fof(f1327,plain,
sdtpldt0(sF4,xb) = sdtpldt0(xb,sF4),
inference(resolution,[],[f325,f230]) ).
fof(f2381,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF3,xa)) = sdtpldt0(sdtpldt0(X0,sF3),xa) ),
inference(resolution,[],[f413,f143]) ).
fof(f2383,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF5,xa)) = sdtpldt0(sdtpldt0(X0,sF5),xa) ),
inference(resolution,[],[f413,f142]) ).
fof(f2385,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF8,xa)) = sdtpldt0(sdtpldt0(X0,sF8),xa) ),
inference(resolution,[],[f413,f228]) ).
fof(f2386,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,sF8),xa) = sdtpldt0(X0,sdtpldt0(xa,sF8)) ),
inference(forward_demodulation,[],[f2385,f1307]) ).
fof(f2388,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF6) = sdtpldt0(sdtpldt0(X0,sF5),xa) ),
inference(forward_demodulation,[],[f2383,f1308]) ).
fof(f2390,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF4) = sdtpldt0(sdtpldt0(X0,sF3),xa) ),
inference(forward_demodulation,[],[f2381,f1309]) ).
fof(f2412,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF4,xb)) = sdtpldt0(sdtpldt0(X0,sF4),xb) ),
inference(resolution,[],[f414,f230]) ).
fof(f2413,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF5,xb)) = sdtpldt0(sdtpldt0(X0,sF5),xb) ),
inference(resolution,[],[f414,f142]) ).
fof(f2418,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF5),xb) ),
inference(forward_demodulation,[],[f2413,f258]) ).
fof(f2419,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,sF4),xb) = sdtpldt0(X0,sdtpldt0(xb,sF4)) ),
inference(forward_demodulation,[],[f2412,f1327]) ).
fof(f3070,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sK1),xq) = sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(sK1,xq)) ),
inference(resolution,[],[f462,f108]) ).
fof(f3071,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sK2),xq) = sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(sK2,xq)) ),
inference(resolution,[],[f462,f104]) ).
fof(f3082,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sK2),xq) = sdtpldt0(sdtasdt0(X0,xq),sF8) ),
inference(forward_demodulation,[],[f3071,f619]) ).
fof(f3083,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sK1),xq) = sdtpldt0(sdtasdt0(X0,xq),sF6) ),
inference(forward_demodulation,[],[f3070,f596]) ).
fof(f12190,plain,
sdtasdt0(sdtpldt0(sK1,sK2),xq) = sdtpldt0(sdtasdt0(sK1,xq),sF8),
inference(resolution,[],[f3082,f108]) ).
fof(f12203,plain,
sdtpldt0(sF6,sF8) = sdtasdt0(sdtpldt0(sK1,sK2),xq),
inference(forward_demodulation,[],[f12190,f596]) ).
fof(f12582,plain,
sdtasdt0(sdtpldt0(sK2,sK1),xq) = sdtpldt0(sdtasdt0(sK2,xq),sF6),
inference(resolution,[],[f3083,f104]) ).
fof(f12593,plain,
sdtpldt0(sF8,sF6) = sdtasdt0(sdtpldt0(sK2,sK1),xq),
inference(forward_demodulation,[],[f12582,f619]) ).
fof(f12616,plain,
sdtpldt0(sF8,sF6) = sdtasdt0(sdtpldt0(sK1,sK2),xq),
inference(forward_demodulation,[],[f12593,f561]) ).
fof(f12633,plain,
sdtpldt0(sF6,sF8) = sdtpldt0(sF8,sF6),
inference(forward_demodulation,[],[f12616,f12203]) ).
fof(f16732,plain,
sdtpldt0(sdtasdt0(xq,sK2),sdtasdt0(xq,sK1)) = sdtasdt0(xq,sdtpldt0(sK1,sK2)),
inference(resolution,[],[f760,f98]) ).
fof(f16745,plain,
sdtasdt0(xq,sdtpldt0(sK1,sK2)) = sdtpldt0(sdtasdt0(xq,sK2),sF6),
inference(forward_demodulation,[],[f16732,f134]) ).
fof(f16767,plain,
sdtpldt0(sF8,sF6) = sdtasdt0(xq,sdtpldt0(sK1,sK2)),
inference(forward_demodulation,[],[f16745,f135]) ).
fof(f16788,plain,
sdtpldt0(sF6,sF8) = sdtasdt0(xq,sdtpldt0(sK1,sK2)),
inference(forward_demodulation,[],[f16767,f12633]) ).
fof(f34003,plain,
sdtpldt0(sF4,sF5) = sdtpldt0(sF5,sF4),
inference(resolution,[],[f332,f230]) ).
fof(f34006,plain,
sdtpldt0(sF8,sF5) = sdtpldt0(sF5,sF8),
inference(resolution,[],[f332,f228]) ).
fof(f39965,plain,
( sF4 != sdtpldt0(sF6,sF8)
| ~ aInteger0(sdtpldt0(sK1,sK2)) ),
inference(superposition,[],[f118,f16788]) ).
fof(f51153,plain,
sdtpldt0(sF8,sF6) = sdtpldt0(sdtpldt0(sF8,sF5),xa),
inference(resolution,[],[f2388,f228]) ).
fof(f51154,plain,
sdtpldt0(sF6,sF8) = sdtpldt0(sdtpldt0(sF8,sF5),xa),
inference(forward_demodulation,[],[f51153,f12633]) ).
fof(f51275,plain,
sdtpldt0(xb,sF4) = sdtpldt0(sdtpldt0(xb,sF3),xa),
inference(resolution,[],[f2390,f99]) ).
fof(f51293,plain,
sdtpldt0(sF8,xa) = sdtpldt0(xb,sF4),
inference(forward_demodulation,[],[f51275,f129]) ).
fof(f51335,plain,
sdtpldt0(xa,sF8) = sdtpldt0(xb,sF4),
inference(forward_demodulation,[],[f51293,f1307]) ).
fof(f51490,plain,
sdtpldt0(sF4,sz00) = sdtpldt0(sdtpldt0(sF4,sF5),xb),
inference(resolution,[],[f2418,f230]) ).
fof(f51497,plain,
sF4 = sdtpldt0(sdtpldt0(sF4,sF5),xb),
inference(forward_demodulation,[],[f51490,f841]) ).
fof(f62875,plain,
sdtpldt0(sdtpldt0(sF5,sF8),xa) = sdtpldt0(sF5,sdtpldt0(xa,sF8)),
inference(resolution,[],[f2386,f142]) ).
fof(f62880,plain,
sdtpldt0(sdtpldt0(sF8,sF5),xa) = sdtpldt0(sF5,sdtpldt0(xa,sF8)),
inference(forward_demodulation,[],[f62875,f34006]) ).
fof(f62919,plain,
sdtpldt0(sF6,sF8) = sdtpldt0(sF5,sdtpldt0(xa,sF8)),
inference(forward_demodulation,[],[f62880,f51154]) ).
fof(f64119,plain,
sdtpldt0(sdtpldt0(sF5,sF4),xb) = sdtpldt0(sF5,sdtpldt0(xb,sF4)),
inference(resolution,[],[f2419,f142]) ).
fof(f64124,plain,
sdtpldt0(sF5,sdtpldt0(xa,sF8)) = sdtpldt0(sdtpldt0(sF5,sF4),xb),
inference(forward_demodulation,[],[f64119,f51335]) ).
fof(f64174,plain,
sdtpldt0(sdtpldt0(sF4,sF5),xb) = sdtpldt0(sF5,sdtpldt0(xa,sF8)),
inference(forward_demodulation,[],[f64124,f34003]) ).
fof(f64215,plain,
sdtpldt0(sF6,sF8) = sdtpldt0(sdtpldt0(sF4,sF5),xb),
inference(forward_demodulation,[],[f64174,f62919]) ).
fof(f64225,plain,
sF4 = sdtpldt0(sF6,sF8),
inference(forward_demodulation,[],[f64215,f51497]) ).
fof(f65255,plain,
( sF4 != sF4
| ~ aInteger0(sdtpldt0(sK1,sK2)) ),
inference(superposition,[],[f39965,f64225]) ).
fof(f65259,plain,
~ aInteger0(sdtpldt0(sK1,sK2)),
inference(trivial_inequality_removal,[],[f65255]) ).
fof(f65369,plain,
( ~ aInteger0(sK1)
| ~ aInteger0(sK2) ),
inference(resolution,[],[f65259,f68]) ).
fof(f65370,plain,
~ aInteger0(sK2),
inference(forward_subsumption_resolution,[],[f65369,f108]) ).
fof(f65371,plain,
$false,
inference(forward_subsumption_resolution,[],[f65370,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM428+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:53:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.80/4.21 % (883941)Will run a generic schedule for satisfiability detection.
% 26.80/4.21 % (883947)% WARNING: option uhcvi not known.
% 26.80/4.21 % (883947)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2297228086:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.80/4.21 % (883946)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2209917768_2999 on theBenchmark for (2999ds/0Mi)
% 26.80/4.21 % (883949)dis+10_1_sil=32000:sp=arity:random_seed=275913833:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.80/4.21 % (883948)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1169564415:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.80/4.21 % (883951)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2053058002:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.80/4.21 % (883950)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4174295400:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.80/4.21 % (883952)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3034171628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.80/4.21 % TRYING [1]
% 26.80/4.21 % TRYING [2]
% 26.80/4.21 % TRYING [3]
% 26.80/4.21 % TRYING [4]
% 26.80/4.21 % TRYING [5]
% 26.80/4.21 % (883949)Instruction limit reached!
% 26.80/4.21 % (883949)------------------------------
% 26.80/4.21 % (883949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.80/4.21 % (883949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.21 % (883949)CaDiCaL version: 2.1.3
% 26.80/4.21 % (883949)Termination reason: Instruction limit
% 26.80/4.21 % (883949)Termination phase: Saturation
% 26.80/4.21 % (883949)Time elapsed: 0.061 s
% 26.80/4.21 % (883949)Peak memory usage: 13 MB
% 26.80/4.21 % (883949)Instructions burned: 103 (million)
% 26.80/4.21 % (883950)Instruction limit reached!
% 26.80/4.21 % (883950)------------------------------
% 26.80/4.21 % (883950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.80/4.21 % (883950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.21 % (883950)CaDiCaL version: 2.1.3
% 26.80/4.21 % (883950)Termination reason: Instruction limit
% 26.80/4.21 % (883950)Termination phase: Saturation
% 26.80/4.21 % (883950)Time elapsed: 0.064 s
% 26.80/4.21 % (883950)Peak memory usage: 13 MB
% 26.80/4.21 % (883950)Instructions burned: 117 (million)
% 26.80/4.21 % (883951)Instruction limit reached!
% 26.80/4.21 % (883951)------------------------------
% 26.80/4.21 % (883951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.80/4.21 % (883951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.21 % (883951)CaDiCaL version: 2.1.3
% 26.80/4.21 % (883951)Termination reason: Instruction limit
% 26.80/4.21 % (883951)Termination phase: Saturation
% 26.80/4.21 % (883951)Time elapsed: 0.073 s
% 26.80/4.21 % (883951)Peak memory usage: 13 MB
% 26.80/4.21 % (883951)Instructions burned: 133 (million)
% 26.80/4.21 % (883960)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2214575103:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.80/4.21 % (883961)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=292751813:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 26.80/4.21 % TRYING [1]
% 26.80/4.21 % TRYING [2]
% 26.80/4.21 % TRYING [3]
% 26.80/4.21 % TRYING [4]
% 26.80/4.21 % (883962)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2797401652:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.80/4.21 % (883952)Instruction limit reached!
% 26.80/4.21 % (883952)------------------------------
% 26.80/4.21 % (883952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.80/4.21 % (883952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.80/4.21 % (883952)CaDiCaL version: 2.1.3
% 26.80/4.21 % (883952)Termination reason: Instruction limit
% 26.80/4.21 % (883952)Termination phase: Saturation
% 26.80/4.21 % (883952)Time elapsed: 0.104 s
% 26.80/4.21 % (883952)Peak memory usage: 14 MB
% 26.80/4.21 % (883952)Instructions burned: 159 (million)
% 26.80/4.21 % TRYING [6]
% 26.80/4.21 % TRYING [5]
% 26.80/4.21 % (883966)ott-21_1_sil=16000:fs=off:random_seed=1775119869:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.80/4.21 % (883961)Instruction limit reached!
% 26.80/4.21 % (883961)------------------------------
% 26.80/4.21 % (883961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.80/4.21 % (883961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883961)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883961)Termination reason: Instruction limit
% 17.78/6.41 % (883961)Termination phase: Saturation
% 17.78/6.41 % (883961)Time elapsed: 0.070 s
% 17.78/6.41 % (883961)Peak memory usage: 12 MB
% 17.78/6.41 % (883961)Instructions burned: 132 (million)
% 17.78/6.41 % (883968)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1667535642:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.78/6.41 % TRYING [6]
% 17.78/6.41 % (883966)Instruction limit reached!
% 17.78/6.41 % (883966)------------------------------
% 17.78/6.41 % (883966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883966)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883966)Termination reason: Instruction limit
% 17.78/6.41 % (883966)Termination phase: Saturation
% 17.78/6.41 % (883966)Time elapsed: 0.089 s
% 17.78/6.41 % (883966)Peak memory usage: 13 MB
% 17.78/6.41 % (883966)Instructions burned: 181 (million)
% 17.78/6.41 % (883970)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2304444225:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.78/6.41 % TRYING [1]
% 17.78/6.41 % TRYING [2]
% 17.78/6.41 % TRYING [3]
% 17.78/6.41 % TRYING [4]
% 17.78/6.41 % TRYING [5]
% 17.78/6.41 % (883960)Instruction limit reached!
% 17.78/6.41 % (883960)------------------------------
% 17.78/6.41 % (883960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883960)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883960)Termination reason: Instruction limit
% 17.78/6.41 % (883960)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883960)Time elapsed: 0.327 s
% 17.78/6.41 % (883960)Peak memory usage: 32 MB
% 17.78/6.41 % (883960)Instructions burned: 717 (million)
% 17.78/6.41 % TRYING [7]
% 17.78/6.41 % (883972)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2882145667:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 17.78/6.41 % (883962)Instruction limit reached!
% 17.78/6.41 % (883962)------------------------------
% 17.78/6.41 % (883962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883962)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883962)Termination reason: Instruction limit
% 17.78/6.41 % (883962)Termination phase: Saturation
% 17.78/6.41 % (883962)Time elapsed: 0.385 s
% 17.78/6.41 % (883962)Peak memory usage: 21 MB
% 17.78/6.41 % (883962)Instructions burned: 686 (million)
% 17.78/6.41 % (883968)Instruction limit reached!
% 17.78/6.41 % (883968)------------------------------
% 17.78/6.41 % (883968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883968)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883968)Termination reason: Instruction limit
% 17.78/6.41 % (883968)Termination phase: Saturation
% 17.78/6.41 % (883968)Time elapsed: 0.306 s
% 17.78/6.41 % (883968)Peak memory usage: 15 MB
% 17.78/6.41 % (883968)Instructions burned: 477 (million)
% 17.78/6.41 % (883974)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=165005259:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 17.78/6.41 % (883975)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1725534663:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 17.78/6.41 % TRYING [6]
% 17.78/6.41 % (883970)Instruction limit reached!
% 17.78/6.41 % (883970)------------------------------
% 17.78/6.41 % (883970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883970)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883970)Termination reason: Instruction limit
% 17.78/6.41 % (883970)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883970)Time elapsed: 0.332 s
% 17.78/6.41 % (883970)Peak memory usage: 21 MB
% 17.78/6.41 % (883970)Instructions burned: 866 (million)
% 17.78/6.41 % (883978)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1989176860:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 17.78/6.41 % TRYING [14]
% 17.78/6.41 % (883974)Instruction limit reached!
% 17.78/6.41 % (883974)------------------------------
% 17.78/6.41 % (883974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883974)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883974)Termination reason: Instruction limit
% 17.78/6.41 % (883974)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883974)Time elapsed: 0.330 s
% 17.78/6.41 % (883974)Peak memory usage: 75 MB
% 17.78/6.41 % (883974)Instructions burned: 892 (million)
% 17.78/6.41 % (883980)fmb+10_1_sil=64000:random_seed=3395374738:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 17.78/6.41 % TRYING [1]
% 17.78/6.41 % TRYING [2]
% 17.78/6.41 % TRYING [3]
% 17.78/6.41 % TRYING [4]
% 17.78/6.41 % (883975)Instruction limit reached!
% 17.78/6.41 % (883975)------------------------------
% 17.78/6.41 % (883975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883975)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883975)Termination reason: Instruction limit
% 17.78/6.41 % (883975)Termination phase: Saturation
% 17.78/6.41 % (883975)Time elapsed: 0.394 s
% 17.78/6.41 % (883975)Peak memory usage: 21 MB
% 17.78/6.41 % (883975)Instructions burned: 692 (million)
% 17.78/6.41 % (883982)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4073288675:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 17.78/6.41 % TRYING [20]
% 17.78/6.41 % TRYING [5]
% 17.78/6.41 % (883972)Instruction limit reached!
% 17.78/6.41 % (883972)------------------------------
% 17.78/6.41 % (883972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883972)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883972)Termination reason: Instruction limit
% 17.78/6.41 % (883972)Termination phase: Saturation
% 17.78/6.41 % (883972)Time elapsed: 0.590 s
% 17.78/6.41 % (883972)Peak memory usage: 26 MB
% 17.78/6.41 % (883972)Instructions burned: 1180 (million)
% 17.78/6.41 % (883984)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2609839425:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 17.78/6.41 % TRYING [8]
% 17.78/6.41 % (883978)Instruction limit reached!
% 17.78/6.41 % (883978)------------------------------
% 17.78/6.41 % (883978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883978)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883978)Termination reason: Instruction limit
% 17.78/6.41 % (883978)Termination phase: Saturation
% 17.78/6.41 % (883978)Time elapsed: 0.515 s
% 17.78/6.41 % (883978)Peak memory usage: 21 MB
% 17.78/6.41 % (883978)Instructions burned: 880 (million)
% 17.78/6.41 % TRYING [6]
% 17.78/6.41 % (883986)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3052569331:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 17.78/6.41 % (883984)Instruction limit reached!
% 17.78/6.41 % (883984)------------------------------
% 17.78/6.41 % (883984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883984)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883984)Termination reason: Instruction limit
% 17.78/6.41 % (883984)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883984)Time elapsed: 0.347 s
% 17.78/6.41 % (883984)Peak memory usage: 67 MB
% 17.78/6.41 % (883984)Instructions burned: 921 (million)
% 17.78/6.41 % (883988)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=88062439:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 17.78/6.41 % TRYING [7]
% 17.78/6.41 % (883988)Instruction limit reached!
% 17.78/6.41 % (883988)------------------------------
% 17.78/6.41 % (883988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883988)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883988)Termination reason: Instruction limit
% 17.78/6.41 % (883988)Termination phase: Saturation
% 17.78/6.41 % (883988)Time elapsed: 0.766 s
% 17.78/6.41 % (883988)Peak memory usage: 37 MB
% 17.78/6.41 % (883988)Instructions burned: 1472 (million)
% 17.78/6.41 % (883990)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=676856247:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 17.78/6.41 % TRYING [77]
% 17.78/6.41 % TRYING [8]
% 17.78/6.41 % TRYING [8]
% 17.78/6.41 % (883986)Instruction limit reached!
% 17.78/6.41 % (883986)------------------------------
% 17.78/6.41 % (883986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883986)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883986)Termination reason: Instruction limit
% 17.78/6.41 % (883986)Termination phase: Saturation
% 17.78/6.41 % (883986)Time elapsed: 2.633 s
% 17.78/6.41 % (883986)Peak memory usage: 55 MB
% 17.78/6.41 % (883986)Instructions burned: 5133 (million)
% 17.78/6.41 % (883992)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3648905604:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 17.78/6.41 % TRYING [16]
% 17.78/6.41 % (883982)Instruction limit reached!
% 17.78/6.41 % (883982)------------------------------
% 17.78/6.41 % (883982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883982)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883982)Termination reason: Instruction limit
% 17.78/6.41 % (883982)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883982)Time elapsed: 3.306 s
% 17.78/6.41 % (883982)Peak memory usage: 578 MB
% 17.78/6.41 % (883982)Instructions burned: 9515 (million)
% 17.78/6.41 % (883994)ott-2_1_sil=16000:newcnf=on:random_seed=3489429517:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 17.78/6.41 % (883990)Instruction limit reached!
% 17.78/6.41 % (883990)------------------------------
% 17.78/6.41 % (883990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883990)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883990)Termination reason: Instruction limit
% 17.78/6.41 % (883990)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883990)Time elapsed: 2.148 s
% 17.78/6.41 % (883990)Peak memory usage: 384 MB
% 17.78/6.41 % (883990)Instructions burned: 6325 (million)
% 17.78/6.41 % (883996)ott+10_1_sil=32000:tgt=ground:random_seed=3672745337:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 17.78/6.41 % (883992)Instruction limit reached!
% 17.78/6.41 % (883992)------------------------------
% 17.78/6.41 % (883992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883992)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883992)Termination reason: Instruction limit
% 17.78/6.41 % (883992)Termination phase: Finite model building constraint generation
% 17.78/6.41 % (883992)Time elapsed: 0.759 s
% 17.78/6.41 % (883992)Peak memory usage: 147 MB
% 17.78/6.41 % (883992)Instructions burned: 2184 (million)
% 17.78/6.41 % (883998)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1381058390:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 17.78/6.41 % TRYING [1]
% 17.78/6.41 % TRYING [2]
% 17.78/6.41 % TRYING [3]
% 17.78/6.41 % TRYING [4]
% 17.78/6.41 % TRYING [5]
% 17.78/6.41 % TRYING [6]
% 17.78/6.41 % (883994)Instruction limit reached!
% 17.78/6.41 % (883994)------------------------------
% 17.78/6.41 % (883994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.41 % (883994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.41 % (883994)CaDiCaL version: 2.1.3
% 17.78/6.41 % (883994)Termination reason: Instruction limit
% 17.78/6.41 % (883994)Termination phase: Saturation
% 17.78/6.41 % (883994)Time elapsed: 0.458 s
% 17.78/6.41 % (883994)Peak memory usage: 25 MB
% 17.78/6.41 % (883994)Instructions burned: 870 (million)
% 17.78/6.41 % (884000)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2999822994:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 17.78/6.41 % TRYING [7]
% 17.78/6.41 % (883996) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-883941-883996"...
% 17.78/6.41 % (883996)...printing done.
% 17.78/6.41 % (883996)Refutation found. Thanks to Tanya!
% 17.78/6.41 % SZS status Theorem for theBenchmark
% 17.78/6.41 % SZS output start Proof for theBenchmark
% See solution above
% 17.78/6.42 % (883996)------------------------------
% 17.78/6.42 % (883996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.78/6.42 % (883996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/6.42 % (883996)CaDiCaL version: 2.1.3
% 17.78/6.42 % (883996)Termination reason: Refutation
% 17.78/6.42 % (883996)Time elapsed: 1.492 s
% 17.78/6.42 % (883996)Peak memory usage: 56 MB
% 17.78/6.42 % (883996)Instructions burned: 2761 (million)
% 17.78/6.42 % (883941)Success in time 5.991 s
% 17.78/6.42 % Vampire exiting
%------------------------------------------------------------------------------