%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG052+2 : 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 : n011.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 12:35:17 PM UTC 2026
% Result : Theorem 3.90s 1.43s
% Output : Refutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 86 ( 34 unt; 3 def)
% Number of atoms : 201 ( 62 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 210 ( 95 ~; 84 |; 19 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) != sz00 )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f38,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f56,conjecture,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(flattening,[],[f57]) ).
fof(f64,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f65,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& xp = sziznziztdt0(xs) ),
inference(ennf_transformation,[],[f42]) ).
fof(f67,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& xq = sziznziztdt0(xt) ),
inference(ennf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f76,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f75]) ).
fof(f81,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f84,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f120,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f121,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f122,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f124,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f125,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f66]) ).
fof(f127,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f66]) ).
fof(f128,plain,
aVector0(xp),
inference(cnf_transformation,[],[f66]) ).
fof(f129,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f67]) ).
fof(f132,plain,
aVector0(xq),
inference(cnf_transformation,[],[f67]) ).
fof(f137,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f139,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f141,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f157,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f58]) ).
fof(f162,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f169,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f171,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f222,plain,
aVector0(sziznziztdt0(xt)),
inference(forward_demodulation,[],[f132,f129]) ).
fof(f224,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
inference(forward_demodulation,[],[f127,f125]) ).
fof(f225,plain,
aVector0(sziznziztdt0(xs)),
inference(forward_demodulation,[],[f128,f125]) ).
fof(f364,definition,
( spl2_9
<=> aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f365,plain,
( aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs))
| spl2_9 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f397,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) != aDimensionOf0(sziznziztdt0(xs))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(X0)
| ~ aVector0(xt) )
| spl2_9 ),
inference(superposition,[],[f366,f162]) ).
fof(f401,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) != aDimensionOf0(sziznziztdt0(xs))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(X0) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f397,f120]) ).
fof(f403,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aDimensionOf0(sziznziztdt0(X0)) != aDimensionOf0(sziznziztdt0(xs))
| sz00 = aDimensionOf0(xt)
| ~ aVector0(X0) )
| spl2_9 ),
inference(forward_demodulation,[],[f401,f123]) ).
fof(f404,plain,
( ! [X0] :
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(X0) != aDimensionOf0(xs)
| aDimensionOf0(sziznziztdt0(X0)) != aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(X0) )
| spl2_9 ),
inference(forward_demodulation,[],[f403,f123]) ).
fof(f405,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) != aDimensionOf0(sziznziztdt0(xs))
| aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aVector0(X0) )
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f404,f124]) ).
fof(f436,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),xD)),
inference(superposition,[],[f157,f137]) ).
fof(f437,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq))),
inference(forward_demodulation,[],[f436,f139]) ).
fof(f438,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
inference(forward_demodulation,[],[f437,f129]) ).
fof(f439,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
inference(forward_demodulation,[],[f438,f125]) ).
fof(f440,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xp,xq),sdtasasdt0(xp,xq)),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
inference(forward_demodulation,[],[f439,f141]) ).
fof(f441,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xp,sziznziztdt0(xt)),sdtasasdt0(xp,sziznziztdt0(xt))),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
inference(forward_demodulation,[],[f440,f129]) ).
fof(f442,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt))),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
inference(forward_demodulation,[],[f441,f125]) ).
fof(f602,plain,
( iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(superposition,[],[f171,f224]) ).
fof(f604,definition,
( spl2_15
<=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f606,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| spl2_15 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f608,definition,
( spl2_16
<=> iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs)) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f610,plain,
( iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f611,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f602,f608,f604]) ).
fof(f744,plain,
( aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xs)
| spl2_9 ),
inference(equality_resolution,[],[f405]) ).
fof(f745,plain,
( ~ aVector0(xs)
| spl2_9 ),
inference(trivial_inequality_removal,[],[f744]) ).
fof(f748,plain,
( $false
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f745,f121]) ).
fof(f749,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f771,plain,
( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| ~ aVector0(sziznziztdt0(xt))
| ~ spl2_9 ),
inference(superposition,[],[f169,f365]) ).
fof(f775,plain,
( ~ aVector0(sziznziztdt0(xt))
| ~ spl2_9
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f771,f606]) ).
fof(f796,plain,
( $false
| ~ spl2_9
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f775,f222]) ).
fof(f797,plain,
( ~ spl2_9
| spl2_15 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f950,plain,
( ~ iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
| aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(sziznziztdt0(xs))
| ~ aVector0(sziznziztdt0(xt)) ),
inference(resolution,[],[f442,f122]) ).
fof(f962,plain,
( aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(sziznziztdt0(xs))
| ~ aVector0(sziznziztdt0(xt))
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f950,f610]) ).
fof(f963,plain,
( ~ aVector0(sziznziztdt0(xs))
| ~ aVector0(sziznziztdt0(xt))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f962,f365]) ).
fof(f964,plain,
( ~ aVector0(sziznziztdt0(xt))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f963,f225]) ).
fof(f965,plain,
( $false
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f964,f222]) ).
fof(f966,plain,
( ~ spl2_9
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f965]) ).
cnf(s14,plain,
( ~ spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f611]) ).
cnf(s21,plain,
spl2_9,
inference(sat_conversion,[],[f749]) ).
cnf(s23,plain,
( ~ spl2_9
| spl2_15 ),
inference(sat_conversion,[],[f797]) ).
cnf(s43,plain,
( ~ spl2_9
| ~ spl2_16 ),
inference(sat_conversion,[],[f966]) ).
cnf(s45,plain,
~ spl2_16,
inference(rat,[],[s43,s21]) ).
cnf(s46,plain,
spl2_15,
inference(rat,[],[s23,s21]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s14,s45,s46]) ).
fof(f967,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG052+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:02:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.90/1.43 % (2867429)Detected formulas, will run a generic FOF schedule.
% 3.90/1.43 % (2867437)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1199089434:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.90/1.43 % (2867437)Instruction limit reached!
% 3.90/1.43 % (2867437)------------------------------
% 3.90/1.43 % (2867437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867437)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867437)Termination reason: Instruction limit
% 3.90/1.43 % (2867437)Termination phase: Saturation
% 3.90/1.43 % (2867437)Time elapsed: 0.028 s
% 3.90/1.43 % (2867437)Peak memory usage: 89 MB
% 3.90/1.43 % (2867437)Instructions burned: 115 (million)
% 3.90/1.43 % (2867439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3460652144:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.90/1.43 % (2867438)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2933707865:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.90/1.43 % (2867440)dis-21_1_sil=8000:lcm=predicate:random_seed=61331881: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)
% 3.90/1.43 % (2867434)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=1687628189:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.90/1.43 % (2867436)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=709660632:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.90/1.43 % (2867435)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=4083514812:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.90/1.43 % (2867439)Instruction limit reached!
% 3.90/1.43 % (2867439)------------------------------
% 3.90/1.43 % (2867439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867439)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867439)Termination reason: Instruction limit
% 3.90/1.43 % (2867439)Termination phase: Saturation
% 3.90/1.43 % (2867439)Time elapsed: 0.049 s
% 3.90/1.43 % (2867439)Peak memory usage: 90 MB
% 3.90/1.43 % (2867439)Instructions burned: 141 (million)
% 3.90/1.43 % (2867438)Instruction limit reached!
% 3.90/1.43 % (2867438)------------------------------
% 3.90/1.43 % (2867438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867438)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867438)Termination reason: Instruction limit
% 3.90/1.43 % (2867438)Termination phase: Saturation
% 3.90/1.43 % (2867438)Time elapsed: 0.058 s
% 3.90/1.43 % (2867438)Peak memory usage: 88 MB
% 3.90/1.43 % (2867438)Instructions burned: 119 (million)
% 3.90/1.43 % (2867440)Instruction limit reached!
% 3.90/1.43 % (2867440)------------------------------
% 3.90/1.43 % (2867440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867440)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867440)Termination reason: Instruction limit
% 3.90/1.43 % (2867440)Termination phase: Saturation
% 3.90/1.43 % (2867440)Time elapsed: 0.059 s
% 3.90/1.43 % (2867440)Peak memory usage: 89 MB
% 3.90/1.43 % (2867440)Instructions burned: 130 (million)
% 3.90/1.43 % (2867448)lrs+10_1_sil=8000:sp=occurrence:random_seed=2611330977:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.90/1.43 % (2867449)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3820281475:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.90/1.43 % (2867449)Instruction limit reached!
% 3.90/1.43 % (2867449)------------------------------
% 3.90/1.43 % (2867449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867449)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867449)Termination reason: Instruction limit
% 3.90/1.43 % (2867449)Termination phase: Saturation
% 3.90/1.43 % (2867449)Time elapsed: 0.040 s
% 3.90/1.43 % (2867449)Peak memory usage: 91 MB
% 3.90/1.43 % (2867449)Instructions burned: 161 (million)
% 3.90/1.43 % (2867450)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1469771903:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.90/1.43 % (2867451)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=1479192229:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.90/1.43 % (2867454)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3575512687:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.90/1.43 % (2867454)First to succeed.
% 3.90/1.43 % (2867454)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2867429"
% 3.90/1.43 % (2867448)Instruction limit reached!
% 3.90/1.43 % (2867448)------------------------------
% 3.90/1.43 % (2867448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867448)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867448)Termination reason: Instruction limit
% 3.90/1.43 % (2867448)Termination phase: Saturation
% 3.90/1.43 % (2867448)Time elapsed: 0.171 s
% 3.90/1.43 % (2867448)Peak memory usage: 93 MB
% 3.90/1.43 % (2867448)Instructions burned: 286 (million)
% 3.90/1.43 % (2867451)Instruction limit reached!
% 3.90/1.43 % (2867451)------------------------------
% 3.90/1.43 % (2867451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867451)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867451)Termination reason: Instruction limit
% 3.90/1.43 % (2867451)Termination phase: Saturation
% 3.90/1.43 % (2867451)Time elapsed: 0.124 s
% 3.90/1.43 % (2867451)Peak memory usage: 96 MB
% 3.90/1.43 % (2867451)Instructions burned: 248 (million)
% 3.90/1.43 % (2867450)Instruction limit reached!
% 3.90/1.43 % (2867450)------------------------------
% 3.90/1.43 % (2867450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.43 % (2867450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.43 % (2867450)CaDiCaL version: 2.1.3
% 3.90/1.43 % (2867450)Termination reason: Instruction limit
% 3.90/1.43 % (2867450)Termination phase: Saturation
% 3.90/1.43 % (2867450)Time elapsed: 0.194 s
% 3.90/1.43 % (2867450)Peak memory usage: 93 MB
% 3.90/1.43 % (2867450)Instructions burned: 326 (million)
% 3.90/1.43 % (2867458)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1153571767:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.90/1.43 % (2867454)Refutation found. Thanks to Tanya!
% 3.90/1.43 % SZS status Theorem for theBenchmark
% 3.90/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.69/1.62 % (2867454)------------------------------
% 4.69/1.62 % (2867454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.62 % (2867454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.62 % (2867454)CaDiCaL version: 2.1.3
% 4.69/1.62 % (2867454)Termination reason: Refutation
% 4.69/1.62 % (2867454)Time elapsed: 0.011 s
% 4.69/1.62 % (2867454)Peak memory usage: 89 MB
% 4.69/1.62 % (2867454)Instructions burned: 33 (million)
% 4.69/1.62 % (2867454)------------------------------
% 4.69/1.62 % (2867454)------------------------------
% 4.69/1.62 % (2867429)Success in time 0.575 s
% 4.69/1.62 % Vampire exiting
%------------------------------------------------------------------------------