%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM426+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 17.50s 3.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 28
% Syntax : Number of formulae : 224 ( 49 unt; 12 def)
% Number of atoms : 573 ( 146 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 658 ( 309 ~; 307 |; 23 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f21,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__704) ).
fof(f23,axiom,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__747) ).
fof(f24,conjecture,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f27,plain,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(flattening,[],[f25]) ).
fof(f28,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f36,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f39,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f42,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f41]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f44]) ).
fof(f47,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f60,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f64,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f67,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f68,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f69,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f79,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f80,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f91,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f21]) ).
fof(f92,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f21]) ).
fof(f93,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f21]) ).
fof(f95,plain,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f23]) ).
fof(f96,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f23]) ).
fof(f97,plain,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(cnf_transformation,[],[f27]) ).
fof(f100,definition,
sF1 = smndt0(xn),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f101,plain,
smndt0(xn) = sF1,
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
sF2 = sdtasdt0(xq,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f103,plain,
sdtasdt0(xq,sF1) = sF2,
inference(reorient_equations,[],[f102]) ).
fof(f104,definition,
sF3 = smndt0(xa),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f105,plain,
smndt0(xa) = sF3,
inference(reorient_equations,[],[f104]) ).
fof(f106,definition,
sF4 = sdtpldt0(xb,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f107,plain,
sdtpldt0(xb,sF3) = sF4,
inference(reorient_equations,[],[f106]) ).
fof(f108,plain,
sF2 != sF4,
inference(definition_folding,[],[f97,f107,f105,f103,f101]) ).
fof(f109,plain,
( aInteger0(sdtasdt0(xq,xn))
| ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[],[f63,f95]) ).
fof(f110,plain,
( aInteger0(sF4)
| ~ aInteger0(xb)
| ~ aInteger0(sF3) ),
inference(superposition,[],[f63,f107]) ).
fof(f111,plain,
( aInteger0(sF4)
| ~ aInteger0(sF3) ),
inference(forward_subsumption_resolution,[],[f110,f92]) ).
fof(f112,plain,
( aInteger0(sdtasdt0(xq,xn))
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[],[f109,f93]) ).
fof(f114,definition,
( spl5_1
<=> aInteger0(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f115,plain,
( aInteger0(sF3)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( ~ aInteger0(sF3)
| spl5_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl5_2
<=> aInteger0(sF4) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f120,plain,
( aInteger0(sF4)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f111,f118,f114]) ).
fof(f123,definition,
( spl5_3
<=> aInteger0(smndt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f124,plain,
( aInteger0(smndt0(xb))
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ aInteger0(smndt0(xb))
| spl5_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl5_4
<=> aInteger0(sdtasdt0(xq,xn)) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f129,plain,
( aInteger0(sdtasdt0(xq,xn))
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( ~ spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f112,f127,f123]) ).
fof(f131,plain,
( aInteger0(sF1)
| ~ aInteger0(xn) ),
inference(superposition,[],[f62,f101]) ).
fof(f132,plain,
( aInteger0(sF3)
| ~ aInteger0(xa) ),
inference(superposition,[],[f62,f105]) ).
fof(f133,plain,
( ~ aInteger0(xa)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f132,f116]) ).
fof(f134,plain,
aInteger0(sF1),
inference(forward_subsumption_resolution,[],[f131,f96]) ).
fof(f135,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f133,f93]) ).
fof(f136,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f142,definition,
( spl5_5
<=> aInteger0(sF2) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f143,plain,
( aInteger0(sF2)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( ~ aInteger0(sF2)
| spl5_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f150,plain,
( aInteger0(sF2)
| ~ aInteger0(xq)
| ~ aInteger0(sF1) ),
inference(superposition,[],[f64,f103]) ).
fof(f151,plain,
( ~ aInteger0(xq)
| ~ aInteger0(sF1)
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f150,f144]) ).
fof(f152,plain,
( ~ aInteger0(sF1)
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f151,f91]) ).
fof(f153,plain,
( $false
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f152,f134]) ).
fof(f154,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa) ),
inference(resolution,[],[f65,f93]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xb)) = sdtpldt0(sdtpldt0(X0,X1),xb) ),
inference(resolution,[],[f65,f92]) ).
fof(f219,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xq)) = sdtasdt0(sdtasdt0(X0,X1),xq) ),
inference(resolution,[],[f71,f91]) ).
fof(f240,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(xn,xq)) = sdtasdt0(sdtasdt0(X0,xn),xq) ),
inference(resolution,[],[f219,f96]) ).
fof(f297,plain,
sz00 = sdtpldt0(smndt0(xa),xa),
inference(resolution,[],[f69,f93]) ).
fof(f298,plain,
sz00 = sdtpldt0(smndt0(xb),xb),
inference(resolution,[],[f69,f92]) ).
fof(f303,plain,
( sz00 = sdtpldt0(smndt0(sF3),sF3)
| ~ spl5_1 ),
inference(resolution,[],[f69,f115]) ).
fof(f305,plain,
sz00 = sdtpldt0(sF3,xa),
inference(forward_demodulation,[],[f297,f105]) ).
fof(f331,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sF3,xa)) = sdtpldt0(sdtpldt0(X0,sF3),xa) )
| ~ spl5_1 ),
inference(resolution,[],[f167,f115]) ).
fof(f332,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sF3),xa) )
| ~ spl5_1 ),
inference(forward_demodulation,[],[f331,f305]) ).
fof(f333,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sF4)) = sdtpldt0(sdtpldt0(X0,X1),sF4) )
| ~ spl5_2 ),
inference(resolution,[],[f120,f65]) ).
fof(f364,plain,
xa = sdtpldt0(sz00,xa),
inference(resolution,[],[f67,f93]) ).
fof(f365,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f67,f92]) ).
fof(f372,plain,
( ~ aInteger0(xb)
| spl5_3 ),
inference(resolution,[],[f125,f62]) ).
fof(f373,plain,
( $false
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f372,f92]) ).
fof(f374,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xb)) )
| ~ spl5_3 ),
inference(resolution,[],[f124,f65]) ).
fof(f376,plain,
( smndt0(xb) = sdtpldt0(sz00,smndt0(xb))
| ~ spl5_3 ),
inference(resolution,[],[f124,f67]) ).
fof(f377,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xb)),smndt0(xb))
| ~ spl5_3 ),
inference(resolution,[],[f124,f69]) ).
fof(f381,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(xb),xb)) = sdtpldt0(sdtpldt0(X0,smndt0(xb)),xb) )
| ~ spl5_3 ),
inference(resolution,[],[f124,f168]) ).
fof(f393,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xb)),xb) )
| ~ spl5_3 ),
inference(forward_demodulation,[],[f381,f298]) ).
fof(f398,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xq,xn))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xq,xn))) )
| ~ spl5_4 ),
inference(resolution,[],[f129,f76]) ).
fof(f417,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xb)) )
| ~ spl5_3 ),
inference(resolution,[],[f375,f93]) ).
fof(f418,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(X0,xb),smndt0(xb)) )
| ~ spl5_3 ),
inference(resolution,[],[f375,f92]) ).
fof(f425,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(xq,xn)) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xb)) )
| ~ spl5_3 ),
inference(forward_demodulation,[],[f417,f95]) ).
fof(f439,plain,
( sdtpldt0(sF3,sdtasdt0(xq,xn)) = sdtpldt0(sdtpldt0(sF3,xa),smndt0(xb))
| ~ spl5_1
| ~ spl5_3 ),
inference(resolution,[],[f425,f115]) ).
fof(f441,plain,
( sdtpldt0(sz00,smndt0(xb)) = sdtpldt0(sF3,sdtasdt0(xq,xn))
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f439,f305]) ).
fof(f443,plain,
( smndt0(xb) = sdtpldt0(sF3,sdtasdt0(xq,xn))
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f441,f376]) ).
fof(f487,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) ),
inference(resolution,[],[f66,f93]) ).
fof(f488,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(xb,X0) ),
inference(resolution,[],[f66,f92]) ).
fof(f495,plain,
sdtpldt0(sz00,xb) = sdtpldt0(xb,sz00),
inference(resolution,[],[f488,f60]) ).
fof(f497,plain,
( sdtpldt0(smndt0(xb),xb) = sdtpldt0(xb,smndt0(xb))
| ~ spl5_3 ),
inference(resolution,[],[f488,f124]) ).
fof(f506,plain,
( sdtpldt0(sF2,xb) = sdtpldt0(xb,sF2)
| ~ spl5_5 ),
inference(resolution,[],[f488,f143]) ).
fof(f508,plain,
( sdtpldt0(sF4,xb) = sdtpldt0(xb,sF4)
| ~ spl5_2 ),
inference(resolution,[],[f488,f120]) ).
fof(f510,plain,
( sz00 = sdtpldt0(xb,smndt0(xb))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f497,f298]) ).
fof(f511,plain,
xb = sdtpldt0(xb,sz00),
inference(forward_demodulation,[],[f495,f365]) ).
fof(f602,plain,
( sdtpldt0(xb,sz00) = sdtpldt0(sdtpldt0(xb,sF3),xa)
| ~ spl5_1 ),
inference(resolution,[],[f332,f92]) ).
fof(f610,plain,
( sdtpldt0(sF4,xa) = sdtpldt0(xb,sz00)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f602,f107]) ).
fof(f613,plain,
( xb = sdtpldt0(sF4,xa)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f610,f511]) ).
fof(f737,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xq) = sdtasdt0(xq,X0) ),
inference(resolution,[],[f72,f91]) ).
fof(f738,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f72,f96]) ).
fof(f768,plain,
sdtasdt0(xq,xn) = sdtasdt0(xn,xq),
inference(resolution,[],[f737,f96]) ).
fof(f770,plain,
sdtasdt0(xq,sF1) = sdtasdt0(sF1,xq),
inference(resolution,[],[f737,f134]) ).
fof(f774,plain,
sF2 = sdtasdt0(sF1,xq),
inference(forward_demodulation,[],[f770,f103]) ).
fof(f819,plain,
( sF2 = sdtpldt0(sF2,sz00)
| ~ spl5_5 ),
inference(resolution,[],[f68,f143]) ).
fof(f821,plain,
( sF4 = sdtpldt0(sF4,sz00)
| ~ spl5_2 ),
inference(resolution,[],[f68,f120]) ).
fof(f989,plain,
( sdtpldt0(sF2,xa) = sdtpldt0(xa,sF2)
| ~ spl5_5 ),
inference(resolution,[],[f487,f143]) ).
fof(f991,plain,
( sdtpldt0(sF4,xa) = sdtpldt0(xa,sF4)
| ~ spl5_2 ),
inference(resolution,[],[f487,f120]) ).
fof(f992,plain,
( xb = sdtpldt0(xa,sF4)
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f991,f613]) ).
fof(f1363,plain,
smndt0(xn) = sdtasdt0(xn,smndt0(sz10)),
inference(resolution,[],[f79,f96]) ).
fof(f1387,definition,
( spl5_11
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
fof(f1388,plain,
( aInteger0(smndt0(sz10))
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1389,plain,
( ~ aInteger0(smndt0(sz10))
| spl5_11 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1399,plain,
( ~ aInteger0(sz10)
| spl5_11 ),
inference(resolution,[],[f1389,f62]) ).
fof(f1400,plain,
( $false
| spl5_11 ),
inference(forward_subsumption_resolution,[],[f1399,f61]) ).
fof(f1401,plain,
spl5_11,
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1468,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sF3,sdtasdt0(xq,xn))) = sdtpldt0(sdtasdt0(X0,sF3),sdtasdt0(X0,sdtasdt0(xq,xn))) )
| ~ spl5_1
| ~ spl5_4 ),
inference(resolution,[],[f398,f115]) ).
fof(f2010,plain,
( sdtasdt0(xn,smndt0(sz10)) = sdtasdt0(smndt0(sz10),xn)
| ~ spl5_11 ),
inference(resolution,[],[f1388,f738]) ).
fof(f2834,plain,
sF1 = sdtasdt0(xn,smndt0(sz10)),
inference(forward_demodulation,[],[f1363,f101]) ).
fof(f2835,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xb)) = sdtpldt0(sdtasdt0(X0,sF3),sdtasdt0(X0,sdtasdt0(xq,xn))) )
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f1468,f443]) ).
fof(f3254,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(xn,xq)) = sdtasdt0(sdtasdt0(smndt0(sz10),xn),xq)
| ~ spl5_11 ),
inference(resolution,[],[f240,f1388]) ).
fof(f3279,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(xn,xq)) = sdtasdt0(sdtasdt0(xn,smndt0(sz10)),xq)
| ~ spl5_11 ),
inference(forward_demodulation,[],[f3254,f2010]) ).
fof(f3287,plain,
( sdtasdt0(sF1,xq) = sdtasdt0(smndt0(sz10),sdtasdt0(xn,xq))
| ~ spl5_11 ),
inference(forward_demodulation,[],[f3279,f2834]) ).
fof(f3290,plain,
( sdtasdt0(sF1,xq) = sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn))
| ~ spl5_11 ),
inference(forward_demodulation,[],[f3287,f768]) ).
fof(f3293,plain,
( sF2 = sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn))
| ~ spl5_11 ),
inference(forward_demodulation,[],[f3290,f774]) ).
fof(f3770,plain,
( sdtpldt0(sF2,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(sF2,xb),smndt0(xb))
| ~ spl5_3
| ~ spl5_5 ),
inference(resolution,[],[f418,f143]) ).
fof(f3772,plain,
( sdtpldt0(sF4,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(sF4,xb),smndt0(xb))
| ~ spl5_2
| ~ spl5_3 ),
inference(resolution,[],[f418,f120]) ).
fof(f4893,definition,
( spl5_40
<=> aInteger0(smndt0(sF3)) ),
introduced(definition,[new_symbols(definition,[spl5_40])],[avatar_definition]) ).
fof(f4894,plain,
( aInteger0(smndt0(sF3))
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f4893]) ).
fof(f4895,plain,
( ~ aInteger0(smndt0(sF3))
| spl5_40 ),
inference(avatar_component_clause,[],[f4893]) ).
fof(f4903,plain,
( smndt0(smndt0(xb)) = sdtasdt0(smndt0(sz10),smndt0(xb))
| ~ spl5_3 ),
inference(resolution,[],[f80,f124]) ).
fof(f4917,plain,
( smndt0(sF3) = sdtasdt0(smndt0(sz10),sF3)
| ~ spl5_1 ),
inference(resolution,[],[f80,f115]) ).
fof(f6922,plain,
( sdtpldt0(sF4,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(xb,sF4),smndt0(xb))
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_demodulation,[],[f3772,f508]) ).
fof(f6924,plain,
( sdtpldt0(sF2,sdtpldt0(xb,smndt0(xb))) = sdtpldt0(sdtpldt0(xb,sF2),smndt0(xb))
| ~ spl5_3
| ~ spl5_5 ),
inference(forward_demodulation,[],[f3770,f506]) ).
fof(f7240,plain,
( sdtpldt0(sF4,sz00) = sdtpldt0(sdtpldt0(xb,sF4),smndt0(xb))
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_demodulation,[],[f6922,f510]) ).
fof(f7242,plain,
( sdtpldt0(sF2,sz00) = sdtpldt0(sdtpldt0(xb,sF2),smndt0(xb))
| ~ spl5_3
| ~ spl5_5 ),
inference(forward_demodulation,[],[f6924,f510]) ).
fof(f7367,plain,
( sF4 = sdtpldt0(sdtpldt0(xb,sF4),smndt0(xb))
| ~ spl5_2
| ~ spl5_3 ),
inference(forward_demodulation,[],[f7240,f821]) ).
fof(f7369,plain,
( sF2 = sdtpldt0(sdtpldt0(xb,sF2),smndt0(xb))
| ~ spl5_3
| ~ spl5_5 ),
inference(forward_demodulation,[],[f7242,f819]) ).
fof(f9690,plain,
( ~ aInteger0(sF3)
| spl5_40 ),
inference(resolution,[],[f4895,f62]) ).
fof(f9691,plain,
( $false
| ~ spl5_1
| spl5_40 ),
inference(forward_subsumption_resolution,[],[f9690,f115]) ).
fof(f9692,plain,
( ~ spl5_1
| spl5_40 ),
inference(avatar_contradiction_clause,[],[f9691]) ).
fof(f9696,plain,
( smndt0(sF3) = sdtpldt0(smndt0(sF3),sz00)
| ~ spl5_40 ),
inference(resolution,[],[f4894,f68]) ).
fof(f9747,plain,
( sdtpldt0(smndt0(sF3),sz00) = sdtpldt0(sdtpldt0(smndt0(sF3),sF3),xa)
| ~ spl5_1
| ~ spl5_40 ),
inference(resolution,[],[f4894,f332]) ).
fof(f9831,plain,
( sdtpldt0(sz00,xa) = sdtpldt0(smndt0(sF3),sz00)
| ~ spl5_1
| ~ spl5_40 ),
inference(forward_demodulation,[],[f9747,f303]) ).
fof(f9880,plain,
( smndt0(sF3) = sdtpldt0(sz00,xa)
| ~ spl5_1
| ~ spl5_40 ),
inference(forward_demodulation,[],[f9831,f9696]) ).
fof(f9895,plain,
( xa = smndt0(sF3)
| ~ spl5_1
| ~ spl5_40 ),
inference(forward_demodulation,[],[f9880,f364]) ).
fof(f12642,definition,
( spl5_86
<=> aInteger0(smndt0(smndt0(xb))) ),
introduced(definition,[new_symbols(definition,[spl5_86])],[avatar_definition]) ).
fof(f12643,plain,
( aInteger0(smndt0(smndt0(xb)))
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f12642]) ).
fof(f12644,plain,
( ~ aInteger0(smndt0(smndt0(xb)))
| spl5_86 ),
inference(avatar_component_clause,[],[f12642]) ).
fof(f12649,plain,
( ~ aInteger0(smndt0(xb))
| spl5_86 ),
inference(resolution,[],[f12644,f62]) ).
fof(f12650,plain,
( $false
| ~ spl5_3
| spl5_86 ),
inference(forward_subsumption_resolution,[],[f12649,f124]) ).
fof(f12651,plain,
( ~ spl5_3
| spl5_86 ),
inference(avatar_contradiction_clause,[],[f12650]) ).
fof(f12655,plain,
( smndt0(smndt0(xb)) = sdtpldt0(smndt0(smndt0(xb)),sz00)
| ~ spl5_86 ),
inference(resolution,[],[f12643,f68]) ).
fof(f12729,plain,
( sdtpldt0(smndt0(smndt0(xb)),sz00) = sdtpldt0(sdtpldt0(smndt0(smndt0(xb)),smndt0(xb)),xb)
| ~ spl5_3
| ~ spl5_86 ),
inference(resolution,[],[f12643,f393]) ).
fof(f12810,plain,
( sdtpldt0(sz00,xb) = sdtpldt0(smndt0(smndt0(xb)),sz00)
| ~ spl5_3
| ~ spl5_86 ),
inference(forward_demodulation,[],[f12729,f377]) ).
fof(f12876,plain,
( sdtpldt0(sz00,xb) = smndt0(smndt0(xb))
| ~ spl5_3
| ~ spl5_86 ),
inference(forward_demodulation,[],[f12810,f12655]) ).
fof(f12902,plain,
( xb = smndt0(smndt0(xb))
| ~ spl5_3
| ~ spl5_86 ),
inference(forward_demodulation,[],[f12876,f365]) ).
fof(f14264,plain,
( sdtasdt0(smndt0(sz10),smndt0(xb)) = sdtpldt0(sdtasdt0(smndt0(sz10),sF3),sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn)))
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11 ),
inference(resolution,[],[f2835,f1388]) ).
fof(f14309,plain,
( sdtasdt0(smndt0(sz10),smndt0(xb)) = sdtpldt0(sdtasdt0(smndt0(sz10),sF3),sF2)
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11 ),
inference(forward_demodulation,[],[f14264,f3293]) ).
fof(f14318,plain,
( sdtasdt0(smndt0(sz10),smndt0(xb)) = sdtpldt0(smndt0(sF3),sF2)
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11 ),
inference(forward_demodulation,[],[f14309,f4917]) ).
fof(f14323,plain,
( sdtpldt0(xa,sF2) = sdtasdt0(smndt0(sz10),smndt0(xb))
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11
| ~ spl5_40 ),
inference(forward_demodulation,[],[f14318,f9895]) ).
fof(f14326,plain,
( smndt0(smndt0(xb)) = sdtpldt0(xa,sF2)
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11
| ~ spl5_40 ),
inference(forward_demodulation,[],[f14323,f4903]) ).
fof(f14327,plain,
( xb = sdtpldt0(xa,sF2)
| ~ spl5_1
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(forward_demodulation,[],[f14326,f12902]) ).
fof(f19270,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,sF4)) = sdtpldt0(sdtpldt0(X0,xa),sF4) )
| ~ spl5_2 ),
inference(resolution,[],[f333,f93]) ).
fof(f19282,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(sdtpldt0(X0,xa),sF4) )
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f19270,f992]) ).
fof(f19336,plain,
( sdtpldt0(sF2,xb) = sdtpldt0(sdtpldt0(sF2,xa),sF4)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_5 ),
inference(resolution,[],[f19282,f143]) ).
fof(f19341,plain,
( sdtpldt0(sF2,xb) = sdtpldt0(sdtpldt0(xa,sF2),sF4)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f19336,f989]) ).
fof(f19375,plain,
( sdtpldt0(sF2,xb) = sdtpldt0(xb,sF4)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(forward_demodulation,[],[f19341,f14327]) ).
fof(f19407,plain,
( sdtpldt0(xb,sF2) = sdtpldt0(xb,sF4)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(forward_demodulation,[],[f19375,f506]) ).
fof(f19421,plain,
( sF4 = sdtpldt0(sdtpldt0(xb,sF2),smndt0(xb))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(superposition,[],[f7367,f19407]) ).
fof(f19423,plain,
( sF2 = sF4
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(forward_demodulation,[],[f19421,f7369]) ).
fof(f19424,plain,
( $false
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(forward_subsumption_resolution,[],[f19423,f108]) ).
fof(f19425,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(avatar_contradiction_clause,[],[f19424]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f121]) ).
cnf(s2,plain,
( ~ spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f130]) ).
cnf(s3,plain,
spl5_1,
inference(sat_conversion,[],[f136]) ).
cnf(s5,plain,
spl5_5,
inference(sat_conversion,[],[f154]) ).
cnf(s6,plain,
spl5_3,
inference(sat_conversion,[],[f374]) ).
cnf(s10,plain,
spl5_11,
inference(sat_conversion,[],[f1401]) ).
cnf(s68,plain,
( ~ spl5_1
| spl5_40 ),
inference(sat_conversion,[],[f9692]) ).
cnf(s87,plain,
( ~ spl5_3
| spl5_86 ),
inference(sat_conversion,[],[f12651]) ).
cnf(s116,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_11
| ~ spl5_40
| ~ spl5_86 ),
inference(sat_conversion,[],[f19425]) ).
cnf(s141,plain,
spl5_86,
inference(rat,[],[s87,s6]) ).
cnf(s171,plain,
spl5_40,
inference(rat,[],[s68,s3]) ).
cnf(s176,plain,
spl5_4,
inference(rat,[],[s2,s6]) ).
cnf(s180,plain,
~ spl5_2,
inference(rat,[],[s116,s141,s171,s10,s5,s3,s6,s176]) ).
cnf(s183,plain,
$false,
inference(rat,[],[s1,s180,s3]) ).
fof(f19426,plain,
$false,
inference(avatar_sat_refutation,[],[s183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM426+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 19:49:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.89/3.01 % (1738014)Detected formulas, will run a generic FOF schedule.
% 13.89/3.01 % (1738019)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=919456044:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.89/3.01 % (1738023)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1150690859:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.89/3.01 % (1738024)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1507295278:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.89/3.01 % (1738020)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=2593099532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.89/3.01 % (1738022)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=968880473:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.89/3.01 % (1738025)dis-21_1_sil=8000:lcm=predicate:random_seed=3237841453:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.89/3.01 % (1738021)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=2033308852:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.89/3.01 % (1738025)Refutation not found, incomplete strategy
% 13.89/3.01 % (1738025)------------------------------
% 13.89/3.01 % (1738025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/3.01 % (1738025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/3.01 % (1738025)CaDiCaL version: 2.1.3
% 13.89/3.01 % (1738025)Termination reason: Refutation not found, incomplete strategy
% 13.89/3.01 % (1738025)Time elapsed: 0.004 s
% 13.89/3.01 % (1738025)Peak memory usage: 88 MB
% 13.89/3.01 % (1738025)Instructions burned: 4 (million)
% 13.89/3.01 % (1738022)Instruction limit reached!
% 13.89/3.01 % (1738022)------------------------------
% 13.89/3.01 % (1738022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/3.01 % (1738022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/3.01 % (1738022)CaDiCaL version: 2.1.3
% 13.89/3.01 % (1738022)Termination reason: Instruction limit
% 13.89/3.01 % (1738022)Termination phase: Saturation
% 13.89/3.01 % (1738022)Time elapsed: 0.066 s
% 13.89/3.01 % (1738022)Peak memory usage: 89 MB
% 13.89/3.01 % (1738022)Instructions burned: 110 (million)
% 13.89/3.01 % (1738023)Instruction limit reached!
% 13.89/3.01 % (1738023)------------------------------
% 13.89/3.01 % (1738023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/3.01 % (1738023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/3.01 % (1738023)CaDiCaL version: 2.1.3
% 13.89/3.01 % (1738023)Termination reason: Instruction limit
% 13.89/3.01 % (1738023)Termination phase: Saturation
% 13.89/3.01 % (1738023)Time elapsed: 0.067 s
% 13.89/3.01 % (1738023)Peak memory usage: 88 MB
% 13.89/3.01 % (1738023)Instructions burned: 119 (million)
% 13.89/3.01 % (1738024)Instruction limit reached!
% 13.89/3.01 % (1738024)------------------------------
% 13.89/3.01 % (1738024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/3.02 % (1738024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/3.02 % (1738024)CaDiCaL version: 2.1.3
% 13.89/3.02 % (1738024)Termination reason: Instruction limit
% 13.89/3.02 % (1738024)Termination phase: Saturation
% 13.89/3.02 % (1738024)Time elapsed: 0.084 s
% 13.89/3.02 % (1738024)Peak memory usage: 89 MB
% 13.89/3.02 % (1738024)Instructions burned: 141 (million)
% 13.89/3.02 % (1738034)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3496348319:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.89/3.02 % (1738033)lrs+10_1_sil=8000:sp=occurrence:random_seed=1135607670:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.89/3.02 % (1738035)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1337897736:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.89/3.02 % (1738025)------------------------------
% 13.89/3.02 % (1738025)------------------------------
% 13.89/3.02 % (1738034)Instruction limit reached!
% 13.89/3.02 % (1738034)------------------------------
% 13.89/3.02 % (1738034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738034)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738034)Termination reason: Instruction limit
% 17.50/3.40 % (1738034)Termination phase: Saturation
% 17.50/3.40 % (1738034)Time elapsed: 0.072 s
% 17.50/3.40 % (1738034)Peak memory usage: 91 MB
% 17.50/3.40 % (1738034)Instructions burned: 157 (million)
% 17.50/3.40 % (1738033)Instruction limit reached!
% 17.50/3.40 % (1738033)------------------------------
% 17.50/3.40 % (1738033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738033)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738033)Termination reason: Instruction limit
% 17.50/3.40 % (1738033)Termination phase: Saturation
% 17.50/3.40 % (1738033)Time elapsed: 0.162 s
% 17.50/3.40 % (1738033)Peak memory usage: 92 MB
% 17.50/3.40 % (1738033)Instructions burned: 285 (million)
% 17.50/3.40 % (1738039)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=90869801:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.50/3.40 % (1738035)Instruction limit reached!
% 17.50/3.40 % (1738035)------------------------------
% 17.50/3.40 % (1738035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738035)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738035)Termination reason: Instruction limit
% 17.50/3.40 % (1738035)Termination phase: Saturation
% 17.50/3.40 % (1738035)Time elapsed: 0.194 s
% 17.50/3.40 % (1738035)Peak memory usage: 93 MB
% 17.50/3.40 % (1738035)Instructions burned: 325 (million)
% 17.50/3.40 % (1738040)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1158059799:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.50/3.40 % (1738039)Instruction limit reached!
% 17.50/3.40 % (1738039)------------------------------
% 17.50/3.40 % (1738039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738039)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738039)Termination reason: Instruction limit
% 17.50/3.40 % (1738039)Termination phase: Saturation
% 17.50/3.40 % (1738039)Time elapsed: 0.115 s
% 17.50/3.40 % (1738039)Peak memory usage: 94 MB
% 17.50/3.40 % (1738039)Instructions burned: 248 (million)
% 17.50/3.40 % (1738041)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1234291178:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 17.50/3.40 % (1738043)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3526300742:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 17.50/3.40 % (1738040)Instruction limit reached!
% 17.50/3.40 % (1738040)------------------------------
% 17.50/3.40 % (1738040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738040)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738040)Termination reason: Instruction limit
% 17.50/3.40 % (1738040)Termination phase: Saturation
% 17.50/3.40 % (1738040)Time elapsed: 0.163 s
% 17.50/3.40 % (1738040)Peak memory usage: 90 MB
% 17.50/3.40 % (1738040)Instructions burned: 295 (million)
% 17.50/3.40 % (1738043)Instruction limit reached!
% 17.50/3.40 % (1738043)------------------------------
% 17.50/3.40 % (1738043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738043)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738043)Termination reason: Instruction limit
% 17.50/3.40 % (1738043)Termination phase: Saturation
% 17.50/3.40 % (1738043)Time elapsed: 0.076 s
% 17.50/3.40 % (1738043)Peak memory usage: 90 MB
% 17.50/3.40 % (1738043)Instructions burned: 113 (million)
% 17.50/3.40 % (1738045)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2144739401:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.50/3.40 % (1738045)Instruction limit reached!
% 17.50/3.40 % (1738045)------------------------------
% 17.50/3.40 % (1738045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738045)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738045)Termination reason: Instruction limit
% 17.50/3.40 % (1738045)Termination phase: Saturation
% 17.50/3.40 % (1738045)Time elapsed: 0.062 s
% 17.50/3.40 % (1738045)Peak memory usage: 89 MB
% 17.50/3.40 % (1738045)Instructions burned: 128 (million)
% 17.50/3.40 % (1738048)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=397619239:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.50/3.40 % (1738049)lrs+10_1_sil=8000:sp=occurrence:random_seed=3906950974:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 17.50/3.40 % (1738048)Instruction limit reached!
% 17.50/3.40 % (1738048)------------------------------
% 17.50/3.40 % (1738048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738048)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738048)Termination reason: Instruction limit
% 17.50/3.40 % (1738048)Termination phase: Saturation
% 17.50/3.40 % (1738048)Time elapsed: 0.062 s
% 17.50/3.40 % (1738048)Peak memory usage: 89 MB
% 17.50/3.40 % (1738048)Instructions burned: 114 (million)
% 17.50/3.40 % (1738051)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1233972774:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 17.50/3.40 % (1738054)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1963791395:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 17.50/3.40 % (1738051)Instruction limit reached!
% 17.50/3.40 % (1738051)------------------------------
% 17.50/3.40 % (1738051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738051)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738051)Termination reason: Instruction limit
% 17.50/3.40 % (1738051)Termination phase: Saturation
% 17.50/3.40 % (1738051)Time elapsed: 0.248 s
% 17.50/3.40 % (1738051)Peak memory usage: 93 MB
% 17.50/3.40 % (1738051)Instructions burned: 438 (million)
% 17.50/3.40 % (1738049)Instruction limit reached!
% 17.50/3.40 % (1738049)------------------------------
% 17.50/3.40 % (1738049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738049)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738049)Termination reason: Instruction limit
% 17.50/3.40 % (1738049)Termination phase: Saturation
% 17.50/3.40 % (1738049)Time elapsed: 0.501 s
% 17.50/3.40 % (1738049)Peak memory usage: 103 MB
% 17.50/3.40 % (1738049)Instructions burned: 907 (million)
% 17.50/3.40 % (1738057)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=512091271:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 17.50/3.40 % (1738057)Instruction limit reached!
% 17.50/3.40 % (1738057)------------------------------
% 17.50/3.40 % (1738057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738057)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738057)Termination reason: Instruction limit
% 17.50/3.40 % (1738057)Termination phase: Saturation
% 17.50/3.40 % (1738057)Time elapsed: 0.059 s
% 17.50/3.40 % (1738057)Peak memory usage: 91 MB
% 17.50/3.40 % (1738057)Instructions burned: 135 (million)
% 17.50/3.40 % (1738058)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=302637929:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 17.50/3.40 % (1738060)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1325786963:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 17.50/3.40 % (1738058)Instruction limit reached!
% 17.50/3.40 % (1738058)------------------------------
% 17.50/3.40 % (1738058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738058)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738058)Termination reason: Instruction limit
% 17.50/3.40 % (1738058)Termination phase: Saturation
% 17.50/3.40 % (1738058)Time elapsed: 0.365 s
% 17.50/3.40 % (1738058)Peak memory usage: 97 MB
% 17.50/3.40 % (1738058)Instructions burned: 592 (million)
% 17.50/3.40 % (1738041)Instruction limit reached!
% 17.50/3.40 % (1738041)------------------------------
% 17.50/3.40 % (1738041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738041)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738041)Termination reason: Instruction limit
% 17.50/3.40 % (1738041)Termination phase: Saturation
% 17.50/3.40 % (1738041)Time elapsed: 1.436 s
% 17.50/3.40 % (1738041)Peak memory usage: 143 MB
% 17.50/3.40 % (1738041)Instructions burned: 2351 (million)
% 17.50/3.40 % (1738063)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=2240998690:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 17.50/3.40 % (1738063)Instruction limit reached!
% 17.50/3.40 % (1738063)------------------------------
% 17.50/3.40 % (1738063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738019)First to succeed.
% 17.50/3.40 % (1738063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738063)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738063)Termination reason: Instruction limit
% 17.50/3.40 % (1738063)Termination phase: Saturation
% 17.50/3.40 % (1738063)Time elapsed: 0.066 s
% 17.50/3.40 % (1738063)Peak memory usage: 90 MB
% 17.50/3.40 % (1738063)Instructions burned: 126 (million)
% 17.50/3.40 % (1738019)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1738014"
% 17.50/3.40 % (1738064)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1376251730:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 17.50/3.40 % (1738064)Instruction limit reached!
% 17.50/3.40 % (1738064)------------------------------
% 17.50/3.40 % (1738064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738064)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738064)Termination reason: Instruction limit
% 17.50/3.40 % (1738064)Termination phase: Saturation
% 17.50/3.40 % (1738064)Time elapsed: 0.070 s
% 17.50/3.40 % (1738064)Peak memory usage: 90 MB
% 17.50/3.40 % (1738064)Instructions burned: 134 (million)
% 17.50/3.40 % (1738066)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1966786932:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 17.50/3.40 % (1738066)Instruction limit reached!
% 17.50/3.40 % (1738066)------------------------------
% 17.50/3.40 % (1738066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.40 % (1738066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.40 % (1738066)CaDiCaL version: 2.1.3
% 17.50/3.40 % (1738066)Termination reason: Instruction limit
% 17.50/3.40 % (1738066)Termination phase: Saturation
% 17.50/3.40 % (1738066)Time elapsed: 0.071 s
% 17.50/3.40 % (1738066)Peak memory usage: 91 MB
% 17.50/3.40 % (1738066)Instructions burned: 143 (million)
% 17.50/3.40 % (1738019)Refutation found. Thanks to Tanya!
% 17.50/3.40 % SZS status Theorem for theBenchmark
% 17.50/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/3.60 % (1738019)------------------------------
% 0.15/3.60 % (1738019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/3.60 % (1738019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/3.60 % (1738019)CaDiCaL version: 2.1.3
% 0.15/3.60 % (1738019)Termination reason: Refutation
% 0.15/3.60 % (1738019)Time elapsed: 2.150 s
% 0.15/3.60 % (1738019)Peak memory usage: 170 MB
% 0.15/3.60 % (1738019)Instructions burned: 4806 (million)
% 0.15/3.60 % (1738019)------------------------------
% 0.15/3.60 % (1738019)------------------------------
% 0.15/3.60 % (1738014)Success in time 2.541 s
% 0.15/3.60 % Vampire exiting
%------------------------------------------------------------------------------