%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM467+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 : n006.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 12:15:19 PM UTC 2026
% Result : Theorem 10.41s 2.36s
% Output : Refutation 11.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 208 ( 21 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 295 ( 138 ~; 130 |; 20 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 92 ( 87 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
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,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
fof(f34,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
fof(f35,conjecture,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(flattening,[],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f46,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f45]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f57]) ).
fof(f64,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f65,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f64]) ).
fof(f82,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f83,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f82]) ).
fof(f93,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,[],[f46]) ).
fof(f94,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,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X0,sK0(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f94]) ).
fof(f101,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f102,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f103,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f104,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f34]) ).
fof(f105,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f34]) ).
fof(f106,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f37]) ).
fof(f111,plain,
! [X0,X1] :
( sdtasdt0(X0,sK0(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f112,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f113,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f129,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f134,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f154,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f163,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f113]) ).
fof(f173,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f163,f154]) ).
fof(f220,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,sdtpldt0(X2,sK0(X1,X0))) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f129,f111]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,sdtpldt0(X2,sK0(X1,X0))) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f235,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,sdtpldt0(X2,sK0(X1,X0))) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f227,f112]) ).
fof(f453,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(sdtasdt0(X0,X1),X2))
| ~ aNaturalNumber0(sdtpldt0(X1,sK0(X0,X2)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f173,f235]) ).
fof(f455,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(sdtasdt0(X0,X1),X2))
| ~ aNaturalNumber0(sdtpldt0(X1,sK0(X0,X2)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2) ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f475,plain,
! [X2,X0,X1] :
( doDivides0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(sK0(X1,X0),sK0(X1,X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f455,f111]) ).
fof(f487,plain,
! [X2,X0,X1] :
( doDivides0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(sK0(X1,X0),sK0(X1,X2)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f475]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(sK0(X1,X0),sK0(X1,X2)))
| doDivides0(X1,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f487,f112]) ).
fof(f500,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(sK0(X0,X2)) ),
inference(resolution,[],[f496,f134]) ).
fof(f505,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f500,f112]) ).
fof(f508,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f505,f112]) ).
fof(f511,plain,
( ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f508,f106]) ).
fof(f530,plain,
( ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f511,f103]) ).
fof(f534,plain,
( ~ aNaturalNumber0(xn)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f530,f104]) ).
fof(f535,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f534,f101]) ).
fof(f536,plain,
~ aNaturalNumber0(xm),
inference(forward_subsumption_resolution,[],[f535,f105]) ).
fof(f537,plain,
$false,
inference(forward_subsumption_resolution,[],[f536,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM467+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n006.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 20:02:55 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 10.41/2.36 % (3280924)Detected formulas, will run a generic FOF schedule.
% 10.41/2.36 % (3280933)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2610012016:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.41/2.36 % (3280933)Instruction limit reached!
% 10.41/2.36 % (3280933)------------------------------
% 10.41/2.36 % (3280933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280933)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280933)Termination reason: Instruction limit
% 10.41/2.36 % (3280933)Termination phase: Saturation
% 10.41/2.36 % (3280933)Time elapsed: 0.026 s
% 10.41/2.36 % (3280933)Peak memory usage: 88 MB
% 10.41/2.36 % (3280933)Instructions burned: 121 (million)
% 10.41/2.36 % (3280934)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2349378381:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.41/2.36 % (3280931)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=1897633531:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.41/2.36 % (3280929)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=1612656890:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.41/2.36 % (3280930)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=2297542969:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.41/2.36 % (3280932)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3960836208:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.41/2.36 % (3280935)dis-21_1_sil=8000:lcm=predicate:random_seed=1314048002: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)
% 10.41/2.36 % (3280932)Refutation not found, incomplete strategy
% 10.41/2.36 % (3280932)------------------------------
% 10.41/2.36 % (3280932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280932)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280932)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.36 % (3280932)Time elapsed: 0.003 s
% 10.41/2.36 % (3280932)Peak memory usage: 88 MB
% 10.41/2.36 % (3280932)Instructions burned: 2 (million)
% 10.41/2.36 % (3280935)Instruction limit reached!
% 10.41/2.36 % (3280935)------------------------------
% 10.41/2.36 % (3280935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280935)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280935)Termination reason: Instruction limit
% 10.41/2.36 % (3280935)Termination phase: Saturation
% 10.41/2.36 % (3280935)Time elapsed: 0.077 s
% 10.41/2.36 % (3280935)Peak memory usage: 89 MB
% 10.41/2.36 % (3280935)Instructions burned: 131 (million)
% 10.41/2.36 % (3280934)Instruction limit reached!
% 10.41/2.36 % (3280934)------------------------------
% 10.41/2.36 % (3280934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280934)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280934)Termination reason: Instruction limit
% 10.41/2.36 % (3280934)Termination phase: Saturation
% 10.41/2.36 % (3280934)Time elapsed: 0.084 s
% 10.41/2.36 % (3280934)Peak memory usage: 90 MB
% 10.41/2.36 % (3280934)Instructions burned: 139 (million)
% 10.41/2.36 % (3280937)lrs+10_1_sil=8000:sp=occurrence:random_seed=3307556972:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.41/2.36 % (3280937)Instruction limit reached!
% 10.41/2.36 % (3280937)------------------------------
% 10.41/2.36 % (3280937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280937)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280937)Termination reason: Instruction limit
% 10.41/2.36 % (3280937)Termination phase: Saturation
% 10.41/2.36 % (3280937)Time elapsed: 0.088 s
% 10.41/2.36 % (3280937)Peak memory usage: 92 MB
% 10.41/2.36 % (3280937)Instructions burned: 285 (million)
% 10.41/2.36 % (3280945)lrs+1011_1_sil=32000:sp=occurrence:random_seed=35034342:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.41/2.36 % (3280944)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1586744805:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.41/2.36 % (3280932)------------------------------
% 10.41/2.36 % (3280932)------------------------------
% 10.41/2.36 % (3280944)Instruction limit reached!
% 10.41/2.36 % (3280944)------------------------------
% 10.41/2.36 % (3280944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280944)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280944)Termination reason: Instruction limit
% 10.41/2.36 % (3280944)Termination phase: Saturation
% 10.41/2.36 % (3280944)Time elapsed: 0.072 s
% 10.41/2.36 % (3280944)Peak memory usage: 91 MB
% 10.41/2.36 % (3280944)Instructions burned: 158 (million)
% 10.41/2.36 % (3280947)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=1190441759:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.41/2.36 % (3280947)Instruction limit reached!
% 10.41/2.36 % (3280947)------------------------------
% 10.41/2.36 % (3280947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280947)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280947)Termination reason: Instruction limit
% 10.41/2.36 % (3280947)Termination phase: Saturation
% 10.41/2.36 % (3280947)Time elapsed: 0.061 s
% 10.41/2.36 % (3280947)Peak memory usage: 93 MB
% 10.41/2.36 % (3280947)Instructions burned: 251 (million)
% 10.41/2.36 % (3280950)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=209351183:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.41/2.36 % (3280945)Instruction limit reached!
% 10.41/2.36 % (3280945)------------------------------
% 10.41/2.36 % (3280945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280945)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280945)Termination reason: Instruction limit
% 10.41/2.36 % (3280945)Termination phase: Saturation
% 10.41/2.36 % (3280945)Time elapsed: 0.195 s
% 10.41/2.36 % (3280945)Peak memory usage: 92 MB
% 10.41/2.36 % (3280945)Instructions burned: 326 (million)
% 10.41/2.36 % (3280952)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=467182661:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.41/2.36 % (3280953)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1698998357:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.41/2.36 % (3280953)Instruction limit reached!
% 10.41/2.36 % (3280953)------------------------------
% 10.41/2.36 % (3280953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280953)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280953)Termination reason: Instruction limit
% 10.41/2.36 % (3280953)Termination phase: Saturation
% 10.41/2.36 % (3280953)Time elapsed: 0.038 s
% 10.41/2.36 % (3280953)Peak memory usage: 91 MB
% 10.41/2.36 % (3280953)Instructions burned: 113 (million)
% 10.41/2.36 % (3280950)Instruction limit reached!
% 10.41/2.36 % (3280950)------------------------------
% 10.41/2.36 % (3280950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280950)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280950)Termination reason: Instruction limit
% 10.41/2.36 % (3280950)Termination phase: Saturation
% 10.41/2.36 % (3280950)Time elapsed: 0.140 s
% 10.41/2.36 % (3280950)Peak memory usage: 89 MB
% 10.41/2.36 % (3280950)Instructions burned: 295 (million)
% 10.41/2.36 % (3280955)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2471652372:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.41/2.36 % (3280958)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=926541732:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.41/2.36 % (3280955)Instruction limit reached!
% 10.41/2.36 % (3280955)------------------------------
% 10.41/2.36 % (3280955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280955)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280955)Termination reason: Instruction limit
% 10.41/2.36 % (3280955)Termination phase: Saturation
% 10.41/2.36 % (3280955)Time elapsed: 0.068 s
% 10.41/2.36 % (3280955)Peak memory usage: 89 MB
% 10.41/2.36 % (3280955)Instructions burned: 129 (million)
% 10.41/2.36 % (3280958)Instruction limit reached!
% 10.41/2.36 % (3280958)------------------------------
% 10.41/2.36 % (3280958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280958)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280958)Termination reason: Instruction limit
% 10.41/2.36 % (3280958)Termination phase: Saturation
% 10.41/2.36 % (3280958)Time elapsed: 0.033 s
% 10.41/2.36 % (3280958)Peak memory usage: 89 MB
% 10.41/2.36 % (3280958)Instructions burned: 114 (million)
% 10.41/2.36 % (3280959)lrs+10_1_sil=8000:sp=occurrence:random_seed=2303417576:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.41/2.36 % (3280963)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2408985587:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.41/2.36 % (3280962)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2729967061:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.41/2.36 % (3280962)Instruction limit reached!
% 10.41/2.36 % (3280962)------------------------------
% 10.41/2.36 % (3280962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280962)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280962)Termination reason: Instruction limit
% 10.41/2.36 % (3280962)Termination phase: Saturation
% 10.41/2.36 % (3280962)Time elapsed: 0.142 s
% 10.41/2.36 % (3280962)Peak memory usage: 89 MB
% 10.41/2.36 % (3280962)Instructions burned: 438 (million)
% 10.41/2.36 % (3280967)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=871918980:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.41/2.36 % (3280963)First to succeed.
% 10.41/2.36 % (3280963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3280924"
% 10.41/2.36 % (3280967)Instruction limit reached!
% 10.41/2.36 % (3280967)------------------------------
% 10.41/2.36 % (3280967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280967)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280967)Termination reason: Instruction limit
% 10.41/2.36 % (3280967)Termination phase: Saturation
% 10.41/2.36 % (3280967)Time elapsed: 0.062 s
% 10.41/2.36 % (3280967)Peak memory usage: 91 MB
% 10.41/2.36 % (3280967)Instructions burned: 136 (million)
% 10.41/2.36 % (3280959)Instruction limit reached!
% 10.41/2.36 % (3280959)------------------------------
% 10.41/2.36 % (3280959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.36 % (3280959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.36 % (3280959)CaDiCaL version: 2.1.3
% 10.41/2.36 % (3280959)Termination reason: Instruction limit
% 10.41/2.36 % (3280959)Termination phase: Saturation
% 10.41/2.36 % (3280959)Time elapsed: 0.502 s
% 10.41/2.36 % (3280959)Peak memory usage: 97 MB
% 10.41/2.36 % (3280959)Instructions burned: 907 (million)
% 10.41/2.36 % (3280963)Refutation found. Thanks to Tanya!
% 10.41/2.36 % SZS status Theorem for theBenchmark
% 10.41/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.08/2.56 % (3280963)------------------------------
% 11.08/2.56 % (3280963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.56 % (3280963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.56 % (3280963)CaDiCaL version: 2.1.3
% 11.08/2.56 % (3280963)Termination reason: Refutation
% 11.08/2.56 % (3280963)Time elapsed: 0.367 s
% 11.08/2.56 % (3280963)Peak memory usage: 129 MB
% 11.08/2.56 % (3280963)Instructions burned: 982 (million)
% 11.08/2.56 % (3280963)------------------------------
% 11.08/2.56 % (3280963)------------------------------
% 11.08/2.56 % (3280924)Success in time 1.485 s
% 11.08/2.56 % Vampire exiting
%------------------------------------------------------------------------------