%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG065+1 : 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 : n010.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 12:35:21 PM UTC 2026
% Result : Theorem 2.70s 1.35s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 25 unt; 5 def)
% Number of atoms : 266 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 315 ( 148 ~; 140 |; 15 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
fof(f58,axiom,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
fof(f64,axiom,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2348) ).
fof(f65,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f66,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f67,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(flattening,[],[f66]) ).
fof(f78,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f78]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f83]) ).
fof(f105,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f106]) ).
fof(f114,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f115,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f114]) ).
fof(f158,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f160,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f162,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f164,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f166,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f167,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f175,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f64]) ).
fof(f176,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f67]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f182,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f202,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f211,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f351,definition,
( spl2_5
<=> aScalar0(smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f352,plain,
( aScalar0(smndt0(xS))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( ~ aScalar0(smndt0(xS))
| spl2_5 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f360,plain,
( ~ aScalar0(xS)
| spl2_5 ),
inference(resolution,[],[f353,f202]) ).
fof(f361,plain,
( $false
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f360,f162]) ).
fof(f362,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f434,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[],[f182,f167]) ).
fof(f435,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(duplicate_literal_removal,[],[f434]) ).
fof(f436,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f435,f352]) ).
fof(f453,definition,
( spl2_7
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f454,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_7 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f457,definition,
( spl2_8
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f458,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl2_8 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f466,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl2_7 ),
inference(resolution,[],[f455,f211]) ).
fof(f467,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ spl2_5
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f466,f436]) ).
fof(f475,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| ~ spl2_5
| spl2_7 ),
inference(resolution,[],[f467,f182]) ).
fof(f476,plain,
( ~ aScalar0(xR)
| ~ spl2_5
| spl2_7 ),
inference(duplicate_literal_removal,[],[f475]) ).
fof(f477,plain,
( $false
| ~ spl2_5
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f476,f158]) ).
fof(f478,plain,
( ~ spl2_5
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f486,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl2_8 ),
inference(resolution,[],[f459,f211]) ).
fof(f487,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_8 ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f509,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_8 ),
inference(resolution,[],[f487,f182]) ).
fof(f510,plain,
( ~ aScalar0(xP)
| spl2_8 ),
inference(duplicate_literal_removal,[],[f509]) ).
fof(f511,plain,
( $false
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f510,f160]) ).
fof(f512,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f589,definition,
( spl2_14
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f590,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_14 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f602,definition,
( spl2_17
<=> aScalar0(sdtpldt0(xN,xN)) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f603,plain,
( aScalar0(sdtpldt0(xN,xN))
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( ~ aScalar0(sdtpldt0(xN,xN))
| spl2_17 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f667,plain,
( ~ aScalar0(xN)
| ~ aScalar0(xN)
| spl2_17 ),
inference(resolution,[],[f604,f211]) ).
fof(f668,plain,
( ~ aScalar0(xN)
| spl2_17 ),
inference(duplicate_literal_removal,[],[f667]) ).
fof(f669,plain,
( $false
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f668,f164]) ).
fof(f670,plain,
spl2_17,
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f804,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(xN,xN))
| sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(resolution,[],[f179,f175]) ).
fof(f810,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(xN,xN))
| sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) )
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f804,f603]) ).
fof(f817,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(X0,sdtpldt0(xN,xN))
| ~ aScalar0(X0) )
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f810,f454]) ).
fof(f1498,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_7
| ~ spl2_17 ),
inference(resolution,[],[f817,f176]) ).
fof(f1501,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(xN,xN))
| ~ spl2_7
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f1498,f458]) ).
fof(f1504,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl2_7
| ~ spl2_8
| ~ spl2_17 ),
inference(resolution,[],[f1501,f203]) ).
fof(f1508,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl2_7
| ~ spl2_8
| ~ spl2_17 ),
inference(duplicate_literal_removal,[],[f1504]) ).
fof(f1707,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_14 ),
inference(resolution,[],[f591,f182]) ).
fof(f1708,plain,
( ~ aScalar0(xP)
| spl2_14 ),
inference(duplicate_literal_removal,[],[f1707]) ).
fof(f1709,plain,
( $false
| spl2_14 ),
inference(forward_subsumption_resolution,[],[f1708,f160]) ).
fof(f1710,plain,
spl2_14,
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1713,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl2_7
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f1508,f166]) ).
fof(f1716,plain,
( ~ aScalar0(xN)
| ~ spl2_7
| ~ spl2_8
| ~ spl2_14
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f1713,f590]) ).
fof(f1726,plain,
( $false
| ~ spl2_7
| ~ spl2_8
| ~ spl2_14
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f1716,f164]) ).
fof(f1727,plain,
( ~ spl2_7
| ~ spl2_8
| ~ spl2_14
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
cnf(s6,plain,
spl2_5,
inference(sat_conversion,[],[f362]) ).
cnf(s9,plain,
( ~ spl2_5
| spl2_7 ),
inference(sat_conversion,[],[f478]) ).
cnf(s10,plain,
spl2_8,
inference(sat_conversion,[],[f512]) ).
cnf(s19,plain,
spl2_17,
inference(sat_conversion,[],[f670]) ).
cnf(s61,plain,
spl2_14,
inference(sat_conversion,[],[f1710]) ).
cnf(s63,plain,
( ~ spl2_7
| ~ spl2_8
| ~ spl2_14
| ~ spl2_17 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s74,plain,
~ spl2_7,
inference(rat,[],[s63,s19,s61,s10]) ).
cnf(s75,plain,
~ spl2_5,
inference(rat,[],[s9,s74]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s6,s75]) ).
fof(f1728,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG065+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:07:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/1.35 % (1409913)Detected formulas, will run a generic FOF schedule.
% 2.70/1.35 % (1409922)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2865925726:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.35 % (1409923)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1662201488:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.35 % (1409924)dis-21_1_sil=8000:lcm=predicate:random_seed=3466090800: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)
% 2.70/1.35 % (1409919)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=3039813079:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.35 % (1409921)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1995488206:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.35 % (1409920)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=1435388444:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.35 % (1409918)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=1119452570:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.35 % (1409922)Instruction limit reached!
% 2.70/1.35 % (1409922)------------------------------
% 2.70/1.35 % (1409922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.35 % (1409922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.35 % (1409922)CaDiCaL version: 2.1.3
% 2.70/1.35 % (1409922)Termination reason: Instruction limit
% 2.70/1.35 % (1409922)Termination phase: Saturation
% 2.70/1.35 % (1409922)Time elapsed: 0.038 s
% 2.70/1.35 % (1409922)Peak memory usage: 89 MB
% 2.70/1.35 % (1409922)Instructions burned: 120 (million)
% 2.70/1.35 % (1409921)Instruction limit reached!
% 2.70/1.35 % (1409921)------------------------------
% 2.70/1.35 % (1409921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.35 % (1409921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.35 % (1409921)CaDiCaL version: 2.1.3
% 2.70/1.35 % (1409921)Termination reason: Instruction limit
% 2.70/1.35 % (1409921)Termination phase: Saturation
% 2.70/1.35 % (1409921)Time elapsed: 0.056 s
% 2.70/1.35 % (1409921)Peak memory usage: 89 MB
% 2.70/1.35 % (1409921)Instructions burned: 111 (million)
% 2.70/1.35 % (1409924)Instruction limit reached!
% 2.70/1.35 % (1409924)------------------------------
% 2.70/1.35 % (1409924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.35 % (1409924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.35 % (1409924)CaDiCaL version: 2.1.3
% 2.70/1.35 % (1409924)Termination reason: Instruction limit
% 2.70/1.35 % (1409924)Termination phase: Saturation
% 2.70/1.35 % (1409924)Time elapsed: 0.062 s
% 2.70/1.35 % (1409924)Peak memory usage: 89 MB
% 2.70/1.35 % (1409924)Instructions burned: 131 (million)
% 2.70/1.35 % (1409923)Instruction limit reached!
% 2.70/1.35 % (1409923)------------------------------
% 2.70/1.35 % (1409923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.35 % (1409923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.35 % (1409923)CaDiCaL version: 2.1.3
% 2.70/1.35 % (1409923)Termination reason: Instruction limit
% 2.70/1.35 % (1409923)Termination phase: Saturation
% 2.70/1.35 % (1409923)Time elapsed: 0.090 s
% 2.70/1.35 % (1409923)Peak memory usage: 90 MB
% 2.70/1.35 % (1409923)Instructions burned: 141 (million)
% 2.70/1.35 % (1409932)lrs+10_1_sil=8000:sp=occurrence:random_seed=3323756499:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.70/1.35 % (1409932)First to succeed.
% 2.70/1.35 % (1409932)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1409913"
% 2.70/1.35 % (1409933)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1521636915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.70/1.35 % (1409934)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4275304145:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.70/1.35 % (1409935)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=4011588243:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.70/1.35 % (1409933)Instruction limit reached!
% 2.70/1.35 % (1409933)------------------------------
% 2.70/1.35 % (1409933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.35 % (1409933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.35 % (1409933)CaDiCaL version: 2.1.3
% 2.70/1.35 % (1409933)Termination reason: Instruction limit
% 2.70/1.35 % (1409933)Termination phase: Saturation
% 2.70/1.35 % (1409933)Time elapsed: 0.071 s
% 2.70/1.35 % (1409933)Peak memory usage: 90 MB
% 2.70/1.35 % (1409933)Instructions burned: 157 (million)
% 2.70/1.35 % (1409932)Refutation found. Thanks to Tanya!
% 2.70/1.35 % SZS status Theorem for theBenchmark
% 2.70/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.55 % (1409932)------------------------------
% 4.06/1.55 % (1409932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.55 % (1409932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.55 % (1409932)CaDiCaL version: 2.1.3
% 4.06/1.55 % (1409932)Termination reason: Refutation
% 4.06/1.55 % (1409932)Time elapsed: 0.021 s
% 4.06/1.55 % (1409932)Peak memory usage: 91 MB
% 4.06/1.55 % (1409932)Instructions burned: 60 (million)
% 4.06/1.55 % (1409932)------------------------------
% 4.06/1.55 % (1409932)------------------------------
% 4.06/1.55 % (1409913)Success in time 0.488 s
% 4.06/1.55 % Vampire exiting
%------------------------------------------------------------------------------