%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM496+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:15:27 PM UTC 2026
% Result : Theorem 4.85s 1.62s
% Output : Refutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 13 unt; 3 def)
% Number of atoms : 223 ( 37 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 257 ( 99 ~; 98 |; 50 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 53 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,X2) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f43,axiom,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f46,axiom,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
& doDivides0(xp,xr) )
| ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
& doDivides0(xp,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2027) ).
fof(f47,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f51,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
& doDivides0(xp,xr) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) ) ),
inference(rectify,[],[f46]) ).
fof(f52,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
| doDivides0(xp,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f48]) ).
fof(f59,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xp,X0) )
& ~ doDivides0(xp,xn)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f52]) ).
fof(f84,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f87,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f88,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f87]) ).
fof(f107,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f108,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f107]) ).
fof(f113,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f114,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f113]) ).
fof(f127,definition,
( ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f128,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
& doDivides0(xp,xr) )
| sP2 ),
inference(definition_folding,[],[f51,f127]) ).
fof(f141,plain,
( ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
& doDivides0(xp,xm) )
| ~ sP2 ),
inference(nnf_transformation,[],[f127]) ).
fof(f142,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
& doDivides0(xp,xm) )
| ~ sP2 ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
( ( aNaturalNumber0(sK11)
& xm = sdtasdt0(xp,sK11)
& doDivides0(xp,xm) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f142]) ).
fof(f144,plain,
( ( aNaturalNumber0(sK12)
& xr = sdtasdt0(xp,sK12)
& doDivides0(xp,xr) )
| sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f128]) ).
fof(f157,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f108]) ).
fof(f158,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f157]) ).
fof(f159,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK16(X0,X1))
& sdtasdt0(X0,sK16(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X3,sK16(X0,X1))],[f158]) ).
fof(f160,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f191,plain,
xn = sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f43]) ).
fof(f192,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f200,plain,
( doDivides0(xp,xm)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f203,plain,
( doDivides0(xp,xr)
| sP2 ),
inference(cnf_transformation,[],[f144]) ).
fof(f206,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f59]) ).
fof(f208,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f59]) ).
fof(f242,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f245,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f247,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f268,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f271,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f288,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f268]) ).
fof(f291,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f288,f271]) ).
fof(f298,definition,
( spl17_1
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f302,definition,
( spl17_2
<=> doDivides0(xp,xr) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f304,plain,
( doDivides0(xp,xr)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f203,f302,f298]) ).
fof(f316,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f200,f206]) ).
fof(f329,plain,
~ spl17_1,
inference(avatar_split_clause,[],[f316,f298]) ).
fof(f373,plain,
! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f291,f245]) ).
fof(f381,plain,
! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f373]) ).
fof(f386,plain,
! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f381,f242]) ).
fof(f1128,plain,
! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f247,f191]) ).
fof(f1136,plain,
! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f1128,f160]) ).
fof(f1140,plain,
! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1136,f192]) ).
fof(f6252,plain,
( ~ doDivides0(xp,xp)
| ~ doDivides0(xp,xr)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f1140,f208]) ).
fof(f6259,plain,
( ~ doDivides0(xp,xr)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f6252,f386]) ).
fof(f6262,plain,
( ~ aNaturalNumber0(xp)
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f6259,f304]) ).
fof(f6264,plain,
( $false
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f6262,f160]) ).
fof(f6265,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f6264]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f305]) ).
cnf(s6,plain,
~ spl17_1,
inference(sat_conversion,[],[f329]) ).
cnf(s229,plain,
~ spl17_2,
inference(sat_conversion,[],[f6265]) ).
cnf(s288,plain,
$false,
inference(rat,[],[s1,s229,s6]) ).
fof(f6266,plain,
$false,
inference(avatar_sat_refutation,[],[s288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM496+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:12:50 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 4.85/1.62 % (3712422)Detected formulas, will run a generic FOF schedule.
% 4.85/1.62 % (3712427)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=1806878854:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.85/1.62 % (3712429)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=2462967613:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.85/1.62 % (3712428)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=1702482711:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.85/1.62 % (3712430)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2352348691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.85/1.62 % (3712433)dis-21_1_sil=8000:lcm=predicate:random_seed=2131005046: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)
% 4.85/1.62 % (3712431)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1389666392:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.85/1.62 % (3712432)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4176079871:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.85/1.62 % (3712430)Instruction limit reached!
% 4.85/1.62 % (3712430)------------------------------
% 4.85/1.62 % (3712430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712430)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712430)Termination reason: Instruction limit
% 4.85/1.62 % (3712430)Termination phase: Saturation
% 4.85/1.62 % (3712430)Time elapsed: 0.063 s
% 4.85/1.62 % (3712430)Peak memory usage: 89 MB
% 4.85/1.62 % (3712430)Instructions burned: 110 (million)
% 4.85/1.62 % (3712431)Instruction limit reached!
% 4.85/1.62 % (3712431)------------------------------
% 4.85/1.62 % (3712431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712431)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712431)Termination reason: Instruction limit
% 4.85/1.62 % (3712431)Termination phase: Saturation
% 4.85/1.62 % (3712431)Time elapsed: 0.066 s
% 4.85/1.62 % (3712431)Peak memory usage: 88 MB
% 4.85/1.62 % (3712431)Instructions burned: 119 (million)
% 4.85/1.62 % (3712433)Instruction limit reached!
% 4.85/1.62 % (3712433)------------------------------
% 4.85/1.62 % (3712433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712433)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712433)Termination reason: Instruction limit
% 4.85/1.62 % (3712433)Termination phase: Saturation
% 4.85/1.62 % (3712433)Time elapsed: 0.077 s
% 4.85/1.62 % (3712433)Peak memory usage: 90 MB
% 4.85/1.62 % (3712433)Instructions burned: 130 (million)
% 4.85/1.62 % (3712432)Instruction limit reached!
% 4.85/1.62 % (3712432)------------------------------
% 4.85/1.62 % (3712432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712432)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712432)Termination reason: Instruction limit
% 4.85/1.62 % (3712432)Termination phase: Saturation
% 4.85/1.62 % (3712432)Time elapsed: 0.090 s
% 4.85/1.62 % (3712432)Peak memory usage: 90 MB
% 4.85/1.62 % (3712432)Instructions burned: 141 (million)
% 4.85/1.62 % (3712441)lrs+10_1_sil=8000:sp=occurrence:random_seed=2745910610:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.85/1.62 % (3712442)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1032404272:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.85/1.62 % (3712443)lrs+1011_1_sil=32000:sp=occurrence:random_seed=705437075:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.85/1.62 % (3712444)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=913001202:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.85/1.62 % (3712442)Instruction limit reached!
% 4.85/1.62 % (3712442)------------------------------
% 4.85/1.62 % (3712442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712442)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712442)Termination reason: Instruction limit
% 4.85/1.62 % (3712442)Termination phase: Saturation
% 4.85/1.62 % (3712442)Time elapsed: 0.072 s
% 4.85/1.62 % (3712442)Peak memory usage: 91 MB
% 4.85/1.62 % (3712442)Instructions burned: 157 (million)
% 4.85/1.62 % (3712441)Instruction limit reached!
% 4.85/1.62 % (3712441)------------------------------
% 4.85/1.62 % (3712441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712441)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712441)Termination reason: Instruction limit
% 4.85/1.62 % (3712441)Termination phase: Saturation
% 4.85/1.62 % (3712441)Time elapsed: 0.157 s
% 4.85/1.62 % (3712441)Peak memory usage: 91 MB
% 4.85/1.62 % (3712441)Instructions burned: 286 (million)
% 4.85/1.62 % (3712443)First to succeed.
% 4.85/1.62 % (3712443)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3712422"
% 4.85/1.62 % (3712444)Instruction limit reached!
% 4.85/1.62 % (3712444)------------------------------
% 4.85/1.62 % (3712444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712444)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712444)Termination reason: Instruction limit
% 4.85/1.62 % (3712444)Termination phase: Saturation
% 4.85/1.62 % (3712444)Time elapsed: 0.114 s
% 4.85/1.62 % (3712444)Peak memory usage: 94 MB
% 4.85/1.62 % (3712444)Instructions burned: 250 (million)
% 4.85/1.62 % (3712449)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=56826758:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.85/1.62 % (3712450)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1289267922:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.85/1.62 % (3712451)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1109890896:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.85/1.62 % (3712451)Instruction limit reached!
% 4.85/1.62 % (3712451)------------------------------
% 4.85/1.62 % (3712451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712451)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712451)Termination reason: Instruction limit
% 4.85/1.62 % (3712451)Termination phase: Saturation
% 4.85/1.62 % (3712451)Time elapsed: 0.069 s
% 4.85/1.62 % (3712451)Peak memory usage: 91 MB
% 4.85/1.62 % (3712451)Instructions burned: 113 (million)
% 4.85/1.62 % (3712449)Instruction limit reached!
% 4.85/1.62 % (3712449)------------------------------
% 4.85/1.62 % (3712449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.62 % (3712449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.62 % (3712449)CaDiCaL version: 2.1.3
% 4.85/1.62 % (3712449)Termination reason: Instruction limit
% 4.85/1.62 % (3712449)Termination phase: Saturation
% 4.85/1.62 % (3712449)Time elapsed: 0.163 s
% 4.85/1.62 % (3712449)Peak memory usage: 89 MB
% 4.85/1.62 % (3712449)Instructions burned: 296 (million)
% 4.85/1.62 % (3712443)Refutation found. Thanks to Tanya!
% 4.85/1.62 % SZS status Theorem for theBenchmark
% 4.85/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.91/1.81 % (3712443)------------------------------
% 5.91/1.81 % (3712443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.81 % (3712443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.81 % (3712443)CaDiCaL version: 2.1.3
% 5.91/1.81 % (3712443)Termination reason: Refutation
% 5.91/1.81 % (3712443)Time elapsed: 0.136 s
% 5.91/1.81 % (3712443)Peak memory usage: 92 MB
% 5.91/1.81 % (3712443)Instructions burned: 221 (million)
% 5.91/1.81 % (3712443)------------------------------
% 5.91/1.81 % (3712443)------------------------------
% 5.91/1.81 % (3712422)Success in time 0.743 s
% 5.91/1.81 % Vampire exiting
%------------------------------------------------------------------------------