%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:08 PM UTC 2026
% Result : Theorem 10.65s 2.33s
% Output : Refutation 11.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 145 ( 51 unt; 11 def)
% Number of atoms : 388 ( 117 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 404 ( 161 ~; 145 |; 83 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 90 !; 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(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(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(f30,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f30]) ).
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(f69,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f31]) ).
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(f72,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = 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(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,
! [X0] : sF3(X0) = sdtasdt0(xq,X0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f115,plain,
! [X0] : sdtasdt0(xq,X0) = sF3(X0),
inference(reorient_equations,[],[f114]) ).
fof(f116,definition,
sF4 = smndt0(xc),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f117,plain,
smndt0(xc) = sF4,
inference(reorient_equations,[],[f116]) ).
fof(f118,definition,
sF5 = sdtpldt0(xa,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f119,plain,
sdtpldt0(xa,sF4) = sF5,
inference(reorient_equations,[],[f118]) ).
fof(f120,plain,
! [X0] :
( sF3(X0) != sF5
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f111,f119,f117,f115]) ).
fof(f122,definition,
sF6 = smndt0(xb),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f123,plain,
smndt0(xb) = sF6,
inference(reorient_equations,[],[f122]) ).
fof(f124,definition,
sF7 = sdtpldt0(xa,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f125,plain,
sdtpldt0(xa,sF6) = sF7,
inference(reorient_equations,[],[f124]) ).
fof(f126,definition,
sF8 = sdtasdt0(xq,sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f127,plain,
sdtasdt0(xq,sK1) = sF8,
inference(reorient_equations,[],[f126]) ).
fof(f128,plain,
sF7 = sF8,
inference(definition_folding,[],[f107,f127,f125,f123]) ).
fof(f130,definition,
sF9 = sdtpldt0(xb,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f131,plain,
sdtpldt0(xb,sF4) = sF9,
inference(reorient_equations,[],[f130]) ).
fof(f132,definition,
sF10 = sdtasdt0(xq,sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f133,plain,
sdtasdt0(xq,sK2) = sF10,
inference(reorient_equations,[],[f132]) ).
fof(f134,plain,
sF9 = sF10,
inference(definition_folding,[],[f103,f133,f131,f117]) ).
fof(f136,plain,
sdtasdt0(xq,sK1) = sF7,
inference(forward_demodulation,[],[f127,f128]) ).
fof(f137,plain,
sdtasdt0(xq,sK2) = sF9,
inference(forward_demodulation,[],[f133,f134]) ).
fof(f138,plain,
sF7 = sF3(sK1),
inference(forward_demodulation,[],[f136,f115]) ).
fof(f139,plain,
sF9 = sF3(sK2),
inference(forward_demodulation,[],[f137,f115]) ).
fof(f209,definition,
( spl11_1
<=> aInteger0(sF4) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f210,plain,
( aInteger0(sF4)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( ~ aInteger0(sF4)
| spl11_1 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl11_2
<=> aInteger0(sF9) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f215,plain,
( aInteger0(sF9)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f218,definition,
( spl11_3
<=> aInteger0(sF6) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f219,plain,
( aInteger0(sF6)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( ~ aInteger0(sF6)
| spl11_3 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f232,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sK2) = sdtpldt0(sK2,X0) ),
inference(resolution,[],[f71,f104]) ).
fof(f235,plain,
sz00 = sdtpldt0(smndt0(xb),xb),
inference(resolution,[],[f99,f74]) ).
fof(f238,plain,
sz00 = sdtpldt0(sF6,xb),
inference(forward_demodulation,[],[f235,f123]) ).
fof(f311,plain,
sdtpldt0(sK1,sK2) = sdtpldt0(sK2,sK1),
inference(resolution,[],[f232,f108]) ).
fof(f337,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) = sdtasdt0(X0,xq) ),
inference(resolution,[],[f98,f77]) ).
fof(f343,plain,
! [X0] :
( ~ aInteger0(X0)
| sF3(X0) = sdtasdt0(X0,xq) ),
inference(forward_demodulation,[],[f337,f115]) ).
fof(f349,plain,
sF3(sK2) = sdtasdt0(sK2,xq),
inference(resolution,[],[f343,f104]) ).
fof(f350,plain,
sF9 = sdtasdt0(sK2,xq),
inference(forward_demodulation,[],[f349,f139]) ).
fof(f373,plain,
( aInteger0(sF9)
| ~ aInteger0(sK2)
| ~ aInteger0(xq) ),
inference(superposition,[],[f69,f350]) ).
fof(f376,plain,
( aInteger0(sF9)
| ~ aInteger0(xq) ),
inference(forward_subsumption_resolution,[],[f373,f104]) ).
fof(f378,plain,
aInteger0(sF9),
inference(forward_subsumption_resolution,[],[f376,f98]) ).
fof(f388,plain,
spl11_2,
inference(avatar_split_clause,[],[f378,f213]) ).
fof(f409,plain,
( aInteger0(sF4)
| ~ aInteger0(xc) ),
inference(superposition,[],[f67,f117]) ).
fof(f410,plain,
( aInteger0(sF6)
| ~ aInteger0(xb) ),
inference(superposition,[],[f67,f123]) ).
fof(f411,plain,
( ~ aInteger0(xb)
| spl11_3 ),
inference(forward_subsumption_resolution,[],[f410,f220]) ).
fof(f412,plain,
( ~ aInteger0(xc)
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f409,f211]) ).
fof(f417,plain,
( $false
| spl11_3 ),
inference(forward_subsumption_resolution,[],[f411,f99]) ).
fof(f418,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f419,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f412,f96]) ).
fof(f420,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f421,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sF4)) = sdtpldt0(sdtpldt0(X0,X1),sF4) )
| ~ spl11_1 ),
inference(resolution,[],[f210,f70]) ).
fof(f423,plain,
( sF4 = sdtpldt0(sz00,sF4)
| ~ spl11_1 ),
inference(resolution,[],[f210,f72]) ).
fof(f440,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF6) = sdtpldt0(sF6,X0) )
| ~ spl11_3 ),
inference(resolution,[],[f219,f71]) ).
fof(f458,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa) ),
inference(resolution,[],[f100,f70]) ).
fof(f459,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) ),
inference(resolution,[],[f100,f71]) ).
fof(f510,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sK1)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1)) ),
inference(resolution,[],[f81,f108]) ).
fof(f574,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xb,sF4)) = sdtpldt0(sdtpldt0(X0,xb),sF4) )
| ~ spl11_1 ),
inference(resolution,[],[f421,f99]) ).
fof(f585,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,xb),sF4) = sdtpldt0(X0,sF9) )
| ~ spl11_1 ),
inference(forward_demodulation,[],[f574,f131]) ).
fof(f1063,plain,
( sdtpldt0(sdtpldt0(sF6,xb),sF4) = sdtpldt0(sF6,sF9)
| ~ spl11_1
| ~ spl11_3 ),
inference(resolution,[],[f585,f219]) ).
fof(f1067,plain,
( sdtpldt0(sz00,sF4) = sdtpldt0(sF6,sF9)
| ~ spl11_1
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1063,f238]) ).
fof(f1071,plain,
( sF4 = sdtpldt0(sF6,sF9)
| ~ spl11_1
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1067,f423]) ).
fof(f1167,plain,
( sdtpldt0(xa,sF4) = sdtpldt0(sF4,xa)
| ~ spl11_1 ),
inference(resolution,[],[f459,f210]) ).
fof(f1169,plain,
( sdtpldt0(xa,sF6) = sdtpldt0(sF6,xa)
| ~ spl11_3 ),
inference(resolution,[],[f459,f219]) ).
fof(f1173,plain,
( sF7 = sdtpldt0(sF6,xa)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1169,f125]) ).
fof(f1174,plain,
( sF5 = sdtpldt0(sF4,xa)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f1167,f119]) ).
fof(f1732,plain,
( sdtpldt0(sF9,sF6) = sdtpldt0(sF6,sF9)
| ~ spl11_2
| ~ spl11_3 ),
inference(resolution,[],[f440,f215]) ).
fof(f1733,plain,
( sF4 = sdtpldt0(sF9,sF6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1732,f1071]) ).
fof(f1778,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF6,xa)) = sdtpldt0(sdtpldt0(X0,sF6),xa) )
| ~ spl11_3 ),
inference(resolution,[],[f458,f219]) ).
fof(f1897,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sF7) = sdtpldt0(sdtpldt0(X0,sF6),xa) )
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1778,f1173]) ).
fof(f1932,plain,
( sdtpldt0(sF9,sF7) = sdtpldt0(sdtpldt0(sF9,sF6),xa)
| ~ spl11_2
| ~ spl11_3 ),
inference(resolution,[],[f1897,f215]) ).
fof(f1933,plain,
( sdtpldt0(sF4,xa) = sdtpldt0(sF9,sF7)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1932,f1733]) ).
fof(f1943,plain,
( sF5 = sdtpldt0(sF9,sF7)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1933,f1174]) ).
fof(f1957,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sK2,sK1)) = sdtpldt0(sdtasdt0(X0,sK2),sdtasdt0(X0,sK1)) ),
inference(resolution,[],[f510,f104]) ).
fof(f1963,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sK1,sK2)) = sdtpldt0(sdtasdt0(X0,sK2),sdtasdt0(X0,sK1)) ),
inference(forward_demodulation,[],[f1957,f311]) ).
fof(f3538,plain,
sdtasdt0(xq,sdtpldt0(sK1,sK2)) = sdtpldt0(sdtasdt0(xq,sK2),sdtasdt0(xq,sK1)),
inference(resolution,[],[f1963,f98]) ).
fof(f3552,plain,
sdtasdt0(xq,sdtpldt0(sK1,sK2)) = sdtpldt0(sdtasdt0(xq,sK2),sF3(sK1)),
inference(forward_demodulation,[],[f3538,f115]) ).
fof(f3556,plain,
sdtasdt0(xq,sdtpldt0(sK1,sK2)) = sdtpldt0(sdtasdt0(xq,sK2),sF7),
inference(forward_demodulation,[],[f3552,f138]) ).
fof(f3588,plain,
sdtasdt0(xq,sdtpldt0(sK1,sK2)) = sdtpldt0(sF3(sK2),sF7),
inference(forward_demodulation,[],[f3556,f115]) ).
fof(f3594,plain,
sdtpldt0(sF9,sF7) = sdtasdt0(xq,sdtpldt0(sK1,sK2)),
inference(forward_demodulation,[],[f3588,f139]) ).
fof(f3595,plain,
sdtpldt0(sF9,sF7) = sF3(sdtpldt0(sK1,sK2)),
inference(forward_demodulation,[],[f3594,f115]) ).
fof(f3596,plain,
( sF5 = sF3(sdtpldt0(sK1,sK2))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f3595,f1943]) ).
fof(f3598,plain,
( sF5 != sF5
| ~ aInteger0(sdtpldt0(sK1,sK2))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(superposition,[],[f120,f3596]) ).
fof(f3599,plain,
( ~ aInteger0(sdtpldt0(sK1,sK2))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(trivial_inequality_removal,[],[f3598]) ).
fof(f3600,plain,
( ~ aInteger0(sK1)
| ~ aInteger0(sK2)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(resolution,[],[f3599,f68]) ).
fof(f3601,plain,
( ~ aInteger0(sK2)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_subsumption_resolution,[],[f3600,f108]) ).
fof(f3602,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_subsumption_resolution,[],[f3601,f104]) ).
fof(f3603,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_contradiction_clause,[],[f3602]) ).
cnf(s7,plain,
spl11_2,
inference(sat_conversion,[],[f388]) ).
cnf(s8,plain,
spl11_3,
inference(sat_conversion,[],[f418]) ).
cnf(s9,plain,
spl11_1,
inference(sat_conversion,[],[f420]) ).
cnf(s43,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(sat_conversion,[],[f3603]) ).
cnf(s46,plain,
~ spl11_2,
inference(rat,[],[s43,s9,s8]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s7,s46]) ).
fof(f3604,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 19:51:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.65/2.32 % (128027)Detected formulas, will run a generic FOF schedule.
% 10.65/2.32 % (128033)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=1728668581:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.65/2.32 % (128036)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2930481476:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.65/2.32 % (128038)dis-21_1_sil=8000:lcm=predicate:random_seed=2024792768: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)
% 10.65/2.32 % (128032)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=2057721603:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.65/2.32 % (128035)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3482686847:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.65/2.32 % (128037)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3754291772:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.65/2.32 % (128034)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=4030104086:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.65/2.32 % (128038)Refutation not found, incomplete strategy
% 10.65/2.32 % (128038)------------------------------
% 10.65/2.32 % (128038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.32 % (128038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.32 % (128038)CaDiCaL version: 2.1.3
% 10.65/2.32 % (128038)Termination reason: Refutation not found, incomplete strategy
% 10.65/2.32 % (128038)Time elapsed: 0.005 s
% 10.65/2.32 % (128038)Peak memory usage: 88 MB
% 10.65/2.32 % (128038)Instructions burned: 5 (million)
% 10.65/2.32 % (128036)Instruction limit reached!
% 10.65/2.32 % (128036)------------------------------
% 10.65/2.32 % (128036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.32 % (128036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.32 % (128036)CaDiCaL version: 2.1.3
% 10.65/2.32 % (128036)Termination reason: Instruction limit
% 10.65/2.32 % (128036)Termination phase: Saturation
% 10.65/2.32 % (128036)Time elapsed: 0.068 s
% 10.65/2.32 % (128036)Peak memory usage: 88 MB
% 10.65/2.32 % (128036)Instructions burned: 121 (million)
% 10.65/2.32 % (128035)Instruction limit reached!
% 10.65/2.32 % (128035)------------------------------
% 10.65/2.32 % (128035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.32 % (128035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.32 % (128035)CaDiCaL version: 2.1.3
% 10.65/2.32 % (128035)Termination reason: Instruction limit
% 10.65/2.32 % (128035)Termination phase: Saturation
% 10.65/2.32 % (128035)Time elapsed: 0.069 s
% 10.65/2.32 % (128035)Peak memory usage: 89 MB
% 10.65/2.32 % (128035)Instructions burned: 110 (million)
% 10.65/2.32 % (128037)Instruction limit reached!
% 10.65/2.32 % (128037)------------------------------
% 10.65/2.32 % (128037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.32 % (128037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.32 % (128037)CaDiCaL version: 2.1.3
% 10.65/2.32 % (128037)Termination reason: Instruction limit
% 10.65/2.32 % (128037)Termination phase: Saturation
% 10.65/2.32 % (128037)Time elapsed: 0.088 s
% 10.65/2.32 % (128037)Peak memory usage: 90 MB
% 10.65/2.32 % (128037)Instructions burned: 139 (million)
% 10.65/2.32 % (128047)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3961312757:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.65/2.32 % (128046)lrs+10_1_sil=8000:sp=occurrence:random_seed=3910920566:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.65/2.32 % (128048)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4218320328:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.65/2.32 % (128038)------------------------------
% 10.65/2.32 % (128038)------------------------------
% 10.65/2.32 % (128047)Instruction limit reached!
% 10.65/2.32 % (128047)------------------------------
% 10.65/2.32 % (128047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.32 % (128047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128047)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128047)Termination reason: Instruction limit
% 10.65/2.33 % (128047)Termination phase: Saturation
% 10.65/2.33 % (128047)Time elapsed: 0.079 s
% 10.65/2.33 % (128047)Peak memory usage: 94 MB
% 10.65/2.33 % (128047)Instructions burned: 159 (million)
% 10.65/2.33 % (128046)Instruction limit reached!
% 10.65/2.33 % (128046)------------------------------
% 10.65/2.33 % (128046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128046)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128046)Termination reason: Instruction limit
% 10.65/2.33 % (128046)Termination phase: Saturation
% 10.65/2.33 % (128046)Time elapsed: 0.162 s
% 10.65/2.33 % (128046)Peak memory usage: 93 MB
% 10.65/2.33 % (128046)Instructions burned: 286 (million)
% 10.65/2.33 % (128052)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=2124516760:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.65/2.33 % (128053)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3207073559:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.65/2.33 % (128048)Instruction limit reached!
% 10.65/2.33 % (128048)------------------------------
% 10.65/2.33 % (128048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128048)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128048)Termination reason: Instruction limit
% 10.65/2.33 % (128048)Termination phase: Saturation
% 10.65/2.33 % (128048)Time elapsed: 0.202 s
% 10.65/2.33 % (128048)Peak memory usage: 92 MB
% 10.65/2.33 % (128048)Instructions burned: 326 (million)
% 10.65/2.33 % (128052)Instruction limit reached!
% 10.65/2.33 % (128052)------------------------------
% 10.65/2.33 % (128052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128052)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128052)Termination reason: Instruction limit
% 10.65/2.33 % (128052)Termination phase: Saturation
% 10.65/2.33 % (128052)Time elapsed: 0.121 s
% 10.65/2.33 % (128052)Peak memory usage: 95 MB
% 10.65/2.33 % (128052)Instructions burned: 249 (million)
% 10.65/2.33 % (128054)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=22894010:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.65/2.33 % (128057)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2151773915:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.65/2.33 % (128053)Instruction limit reached!
% 10.65/2.33 % (128053)------------------------------
% 10.65/2.33 % (128053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128053)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128053)Termination reason: Instruction limit
% 10.65/2.33 % (128053)Termination phase: Saturation
% 10.65/2.33 % (128053)Time elapsed: 0.169 s
% 10.65/2.33 % (128053)Peak memory usage: 90 MB
% 10.65/2.33 % (128053)Instructions burned: 294 (million)
% 10.65/2.33 % (128057)Instruction limit reached!
% 10.65/2.33 % (128057)------------------------------
% 10.65/2.33 % (128057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128057)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128057)Termination reason: Instruction limit
% 10.65/2.33 % (128057)Termination phase: Saturation
% 10.65/2.33 % (128057)Time elapsed: 0.079 s
% 10.65/2.33 % (128057)Peak memory usage: 91 MB
% 10.65/2.33 % (128057)Instructions burned: 113 (million)
% 10.65/2.33 % (128059)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2778038119:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.65/2.33 % (128059)Instruction limit reached!
% 10.65/2.33 % (128059)------------------------------
% 10.65/2.33 % (128059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128059)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128059)Termination reason: Instruction limit
% 10.65/2.33 % (128059)Termination phase: Saturation
% 10.65/2.33 % (128059)Time elapsed: 0.064 s
% 10.65/2.33 % (128059)Peak memory usage: 89 MB
% 10.65/2.33 % (128059)Instructions burned: 129 (million)
% 10.65/2.33 % (128061)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4080621439:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.65/2.33 % (128063)lrs+10_1_sil=8000:sp=occurrence:random_seed=2758283425:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.65/2.33 % (128061)Instruction limit reached!
% 10.65/2.33 % (128061)------------------------------
% 10.65/2.33 % (128061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128061)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128061)Termination reason: Instruction limit
% 10.65/2.33 % (128061)Termination phase: Saturation
% 10.65/2.33 % (128061)Time elapsed: 0.066 s
% 10.65/2.33 % (128061)Peak memory usage: 89 MB
% 10.65/2.33 % (128061)Instructions burned: 114 (million)
% 10.65/2.33 % (128064)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3450133462:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.65/2.33 % (128067)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3584163003:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.65/2.33 % (128032)First to succeed.
% 10.65/2.33 % (128032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-128027"
% 10.65/2.33 % (128064)Instruction limit reached!
% 10.65/2.33 % (128064)------------------------------
% 10.65/2.33 % (128064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128064)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128064)Termination reason: Instruction limit
% 10.65/2.33 % (128064)Termination phase: Saturation
% 10.65/2.33 % (128064)Time elapsed: 0.256 s
% 10.65/2.33 % (128064)Peak memory usage: 94 MB
% 10.65/2.33 % (128064)Instructions burned: 438 (million)
% 10.65/2.33 % (128070)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3322450009:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.65/2.33 % (128063)Instruction limit reached!
% 10.65/2.33 % (128063)------------------------------
% 10.65/2.33 % (128063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128063)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128063)Termination reason: Instruction limit
% 10.65/2.33 % (128063)Termination phase: Saturation
% 10.65/2.33 % (128063)Time elapsed: 0.509 s
% 10.65/2.33 % (128063)Peak memory usage: 103 MB
% 10.65/2.33 % (128063)Instructions burned: 908 (million)
% 10.65/2.33 % (128070)Instruction limit reached!
% 10.65/2.33 % (128070)------------------------------
% 10.65/2.33 % (128070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.33 % (128070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.33 % (128070)CaDiCaL version: 2.1.3
% 10.65/2.33 % (128070)Termination reason: Instruction limit
% 10.65/2.33 % (128070)Termination phase: Saturation
% 10.65/2.33 % (128070)Time elapsed: 0.059 s
% 10.65/2.33 % (128070)Peak memory usage: 91 MB
% 10.65/2.33 % (128070)Instructions burned: 136 (million)
% 10.65/2.33 % (128032)Refutation found. Thanks to Tanya!
% 10.65/2.33 % SZS status Theorem for theBenchmark
% 10.65/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 11.04/2.52 % (128032)------------------------------
% 11.04/2.52 % (128032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.52 % (128032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.52 % (128032)CaDiCaL version: 2.1.3
% 11.04/2.52 % (128032)Termination reason: Refutation
% 11.04/2.52 % (128032)Time elapsed: 1.064 s
% 11.04/2.52 % (128032)Peak memory usage: 136 MB
% 11.04/2.52 % (128032)Instructions burned: 1651 (million)
% 11.04/2.52 % (128032)------------------------------
% 11.04/2.52 % (128032)------------------------------
% 11.04/2.52 % (128027)Success in time 1.48 s
% 11.04/2.52 % Vampire exiting
%------------------------------------------------------------------------------