%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG057+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:19 PM UTC 2026
% Result : Theorem 5.95s 1.78s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 70 ( 22 unt; 4 def)
% Number of atoms : 192 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 230 ( 108 ~; 103 |; 10 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
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(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2027) ).
fof(f58,axiom,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2052) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f66,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(flattening,[],[f60]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f89,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f96]) ).
fof(f102,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f137,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f157,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f97]) ).
fof(f165,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f197,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f199,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f201,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f207,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f216,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f217,plain,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f57]) ).
fof(f218,plain,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f58]) ).
fof(f219,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f66]) ).
fof(f243,definition,
( spl2_6
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f244,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl2_6 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f279,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| spl2_6 ),
inference(resolution,[],[f244,f137]) ).
fof(f280,plain,
( ~ aScalar0(xH)
| spl2_6 ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f282,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f280,f207]) ).
fof(f283,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(sdtasdt0(X2,X2))
| sdtlseqdt0(sdtasdt0(X0,sdtasdt0(X2,X2)),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(sdtasdt0(X2,X2),X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f161,f165]) ).
fof(f427,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(X1,X1)),sdtasdt0(X2,X3))
| ~ sdtlseqdt0(sdtasdt0(X1,X1),X3)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X1)
| ~ aScalar0(X1) ),
inference(resolution,[],[f296,f137]) ).
fof(f429,plain,
! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X1,X1),X3)
| sdtlseqdt0(sdtasdt0(X0,sdtasdt0(X1,X1)),sdtasdt0(X2,X3))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f427]) ).
fof(f431,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(xE) ),
inference(resolution,[],[f429,f216]) ).
fof(f434,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(forward_subsumption_resolution,[],[f431,f201]) ).
fof(f436,definition,
( spl2_32
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f437,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl2_32 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl2_33
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),sdtasdt0(X1,sdtasdt0(xC,xD)))
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( ~ spl2_32
| spl2_33 ),
inference(avatar_split_clause,[],[f434,f439,f436]) ).
fof(f443,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| spl2_32 ),
inference(resolution,[],[f437,f137]) ).
fof(f445,plain,
( ~ aScalar0(xD)
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f443,f197]) ).
fof(f446,plain,
( $false
| spl2_32 ),
inference(forward_subsumption_resolution,[],[f445,f199]) ).
fof(f447,plain,
spl2_32,
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f1784,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X0) )
| ~ spl2_33 ),
inference(superposition,[],[f440,f218]) ).
fof(f1787,definition,
( spl2_99
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xH,xH)) ) ),
introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).
fof(f1788,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ aScalar0(X0)
| sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xE,xE)),xN) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1789,plain,
( ~ spl2_6
| spl2_99
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f1784,f439,f1787,f243]) ).
fof(f1799,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),xN)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl2_99 ),
inference(resolution,[],[f1788,f157]) ).
fof(f1800,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),xN)
| ~ spl2_99 ),
inference(duplicate_literal_removal,[],[f1799]) ).
fof(f1801,plain,
( sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl2_99 ),
inference(forward_demodulation,[],[f1800,f217]) ).
fof(f1803,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl2_99 ),
inference(forward_subsumption_resolution,[],[f1801,f219]) ).
fof(f1805,plain,
( ~ spl2_6
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1803,f1787,f243]) ).
cnf(s9,plain,
spl2_6,
inference(sat_conversion,[],[f283]) ).
cnf(s20,plain,
( ~ spl2_32
| spl2_33 ),
inference(sat_conversion,[],[f441]) ).
cnf(s22,plain,
spl2_32,
inference(sat_conversion,[],[f447]) ).
cnf(s72,plain,
( ~ spl2_6
| ~ spl2_33
| spl2_99 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s75,plain,
( ~ spl2_6
| ~ spl2_99 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s76,plain,
spl2_33,
inference(rat,[],[s20,s22]) ).
cnf(s77,plain,
~ spl2_99,
inference(rat,[],[s75,s9]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s72,s76,s77,s9]) ).
fof(f1806,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG057+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n003.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 23:04:57 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 5.40/1.62 % (1031638)Detected formulas, will run a generic FOF schedule.
% 5.40/1.62 % (1031644)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=812476501:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.40/1.62 % (1031646)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4042452390:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.40/1.62 % (1031643)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=429649826:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.40/1.62 % (1031645)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=230892350:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.40/1.62 % (1031649)dis-21_1_sil=8000:lcm=predicate:random_seed=2226360377: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)
% 5.40/1.62 % (1031647)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3221644496:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.40/1.62 % (1031648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=505436782:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.40/1.62 % (1031646)Instruction limit reached!
% 5.40/1.62 % (1031646)------------------------------
% 5.40/1.62 % (1031646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031646)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031646)Termination reason: Instruction limit
% 5.40/1.62 % (1031646)Termination phase: Saturation
% 5.40/1.62 % (1031646)Time elapsed: 0.067 s
% 5.40/1.62 % (1031646)Peak memory usage: 89 MB
% 5.40/1.62 % (1031646)Instructions burned: 110 (million)
% 5.40/1.62 % (1031647)Instruction limit reached!
% 5.40/1.62 % (1031647)------------------------------
% 5.40/1.62 % (1031647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031647)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031647)Termination reason: Instruction limit
% 5.40/1.62 % (1031647)Termination phase: Saturation
% 5.40/1.62 % (1031647)Time elapsed: 0.065 s
% 5.40/1.62 % (1031647)Peak memory usage: 88 MB
% 5.40/1.62 % (1031647)Instructions burned: 122 (million)
% 5.40/1.62 % (1031649)Instruction limit reached!
% 5.40/1.62 % (1031649)------------------------------
% 5.40/1.62 % (1031649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031649)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031649)Termination reason: Instruction limit
% 5.40/1.62 % (1031649)Termination phase: Saturation
% 5.40/1.62 % (1031649)Time elapsed: 0.066 s
% 5.40/1.62 % (1031649)Peak memory usage: 89 MB
% 5.40/1.62 % (1031649)Instructions burned: 131 (million)
% 5.40/1.62 % (1031648)Instruction limit reached!
% 5.40/1.62 % (1031648)------------------------------
% 5.40/1.62 % (1031648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031648)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031648)Termination reason: Instruction limit
% 5.40/1.62 % (1031648)Termination phase: Saturation
% 5.40/1.62 % (1031648)Time elapsed: 0.094 s
% 5.40/1.62 % (1031648)Peak memory usage: 90 MB
% 5.40/1.62 % (1031648)Instructions burned: 140 (million)
% 5.40/1.62 % (1031657)lrs+10_1_sil=8000:sp=occurrence:random_seed=2341825134:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.40/1.62 % (1031659)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1232446277:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.40/1.62 % (1031658)lrs+10_1_sil=32000:urr=on:br=off:random_seed=411037244:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.40/1.62 % (1031660)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=3388993981:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.40/1.62 % (1031658)Instruction limit reached!
% 5.40/1.62 % (1031658)------------------------------
% 5.40/1.62 % (1031658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031658)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031658)Termination reason: Instruction limit
% 5.40/1.62 % (1031658)Termination phase: Saturation
% 5.40/1.62 % (1031658)Time elapsed: 0.072 s
% 5.40/1.62 % (1031658)Peak memory usage: 90 MB
% 5.40/1.62 % (1031658)Instructions burned: 159 (million)
% 5.40/1.62 % (1031660)Instruction limit reached!
% 5.40/1.62 % (1031660)------------------------------
% 5.40/1.62 % (1031660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031660)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031660)Termination reason: Instruction limit
% 5.40/1.62 % (1031660)Termination phase: Saturation
% 5.40/1.62 % (1031660)Time elapsed: 0.122 s
% 5.40/1.62 % (1031660)Peak memory usage: 96 MB
% 5.40/1.62 % (1031660)Instructions burned: 248 (million)
% 5.40/1.62 % (1031657)Instruction limit reached!
% 5.40/1.62 % (1031657)------------------------------
% 5.40/1.62 % (1031657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031657)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031657)Termination reason: Instruction limit
% 5.40/1.62 % (1031657)Termination phase: Saturation
% 5.40/1.62 % (1031657)Time elapsed: 0.187 s
% 5.40/1.62 % (1031657)Peak memory usage: 93 MB
% 5.40/1.62 % (1031657)Instructions burned: 285 (million)
% 5.40/1.62 % (1031659)Instruction limit reached!
% 5.40/1.62 % (1031659)------------------------------
% 5.40/1.62 % (1031659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031659)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031659)Termination reason: Instruction limit
% 5.40/1.62 % (1031659)Termination phase: Saturation
% 5.40/1.62 % (1031659)Time elapsed: 0.189 s
% 5.40/1.62 % (1031659)Peak memory usage: 93 MB
% 5.40/1.62 % (1031659)Instructions burned: 325 (million)
% 5.40/1.62 % (1031665)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=441576271:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.40/1.62 % (1031644)First to succeed.
% 5.40/1.62 % (1031644)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1031638"
% 5.40/1.62 % (1031666)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1956795463:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.40/1.62 % (1031667)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=405411120:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.40/1.62 % (1031668)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1209862669:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.40/1.62 % (1031667)Instruction limit reached!
% 5.40/1.62 % (1031667)------------------------------
% 5.40/1.62 % (1031667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031667)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031667)Termination reason: Instruction limit
% 5.40/1.62 % (1031667)Termination phase: Saturation
% 5.40/1.62 % (1031667)Time elapsed: 0.072 s
% 5.40/1.62 % (1031667)Peak memory usage: 91 MB
% 5.40/1.62 % (1031667)Instructions burned: 113 (million)
% 5.40/1.62 % (1031668)Instruction limit reached!
% 5.40/1.62 % (1031668)------------------------------
% 5.40/1.62 % (1031668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.62 % (1031668)CaDiCaL version: 2.1.3
% 5.40/1.62 % (1031668)Termination reason: Instruction limit
% 5.40/1.62 % (1031668)Termination phase: Saturation
% 5.40/1.62 % (1031668)Time elapsed: 0.066 s
% 5.40/1.62 % (1031668)Peak memory usage: 89 MB
% 5.40/1.62 % (1031668)Instructions burned: 128 (million)
% 5.40/1.62 % (1031665)Instruction limit reached!
% 5.40/1.62 % (1031665)------------------------------
% 5.40/1.62 % (1031665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.62 % (1031665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (1031665)CaDiCaL version: 2.1.3
% 5.95/1.78 % (1031665)Termination reason: Instruction limit
% 5.95/1.78 % (1031665)Termination phase: Saturation
% 5.95/1.78 % (1031665)Time elapsed: 0.158 s
% 5.95/1.78 % (1031665)Peak memory usage: 90 MB
% 5.95/1.78 % (1031665)Instructions burned: 294 (million)
% 5.95/1.78 % (1031644)Refutation found. Thanks to Tanya!
% 5.95/1.78 % SZS status Theorem for theBenchmark
% 5.95/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.78 % (1031644)------------------------------
% 5.95/1.78 % (1031644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.78 % (1031644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.78 % (1031644)CaDiCaL version: 2.1.3
% 5.95/1.78 % (1031644)Termination reason: Refutation
% 5.95/1.78 % (1031644)Time elapsed: 0.503 s
% 5.95/1.78 % (1031644)Peak memory usage: 133 MB
% 5.95/1.78 % (1031644)Instructions burned: 1276 (million)
% 5.95/1.78 % (1031644)------------------------------
% 5.95/1.78 % (1031644)------------------------------
% 5.95/1.78 % (1031638)Success in time 0.773 s
% 5.95/1.78 % Vampire exiting
%------------------------------------------------------------------------------