%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM466+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:15:18 PM UTC 2026
% Result : Theorem 2.65s 1.32s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 6
% Syntax : Number of formulae : 59 ( 8 unt; 0 def)
% Number of atoms : 243 ( 25 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 346 ( 162 ~; 153 |; 22 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 112 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1218) ).
fof(f33,conjecture,
( ( doDivides0(xl,xm)
& doDivides0(xm,xn) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f34,negated_conjecture,
~ ( ( doDivides0(xl,xm)
& doDivides0(xm,xn) )
=> doDivides0(xl,xn) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f36,plain,
( ~ doDivides0(xl,xn)
& doDivides0(xl,xm)
& doDivides0(xm,xn) ),
inference(ennf_transformation,[],[f34]) ).
fof(f37,plain,
( ~ doDivides0(xl,xn)
& doDivides0(xl,xm)
& doDivides0(xm,xn) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f39,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f43,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f44]) ).
fof(f46,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,[],[f39]) ).
fof(f47,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,[],[f46]) ).
fof(f48,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))],[f47]) ).
fof(f49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f32]) ).
fof(f50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
doDivides0(xm,xn),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
! [X0,X1] :
( sdtasdt0(X0,sK0(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f57,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f58,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f61,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f57]) ).
fof(f66,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f61,f60]) ).
fof(f68,plain,
! [X0,X1] :
( doDivides0(X1,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f66,f59]) ).
fof(f69,plain,
! [X0,X1] :
( doDivides0(X1,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f84,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK0(X1,X0),X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f58,f55]) ).
fof(f89,plain,
! [X2,X0,X1] :
( doDivides0(X2,sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f69,f58]) ).
fof(f92,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f59,f58]) ).
fof(f96,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f99,plain,
! [X2,X0,X1] :
( doDivides0(X2,sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f103,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK0(X1,X0),X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X1,X0))
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f108,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f96,f60]) ).
fof(f111,plain,
! [X2,X0,X1] :
( doDivides0(X2,sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f99,f60]) ).
fof(f116,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = sdtasdt0(X1,sdtasdt0(sK0(X1,X0),X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f103,f56]) ).
fof(f299,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f111,f108]) ).
fof(f364,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f549,plain,
! [X2,X0,X1] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f364,f116]) ).
fof(f584,plain,
! [X2,X0,X1] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sK0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f549]) ).
fof(f597,plain,
! [X2,X0,X1] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f584,f56]) ).
fof(f1024,plain,
! [X2,X0,X1] :
( doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X2,X0))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f597,f55]) ).
fof(f1039,plain,
! [X2,X0,X1] :
( doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sK0(X2,X0))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f1024]) ).
fof(f1047,plain,
! [X2,X0,X1] :
( doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1039,f56]) ).
fof(f3061,plain,
! [X0] :
( ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f1047,f54]) ).
fof(f3068,plain,
! [X0] :
( ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3061,f51]) ).
fof(f3069,plain,
! [X0] :
( ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[],[f3068,f49]) ).
fof(f3070,plain,
( ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xn) ),
inference(resolution,[],[f3069,f53]) ).
fof(f3092,plain,
~ doDivides0(xm,xn),
inference(forward_subsumption_resolution,[],[f3070,f50]) ).
fof(f3095,plain,
$false,
inference(forward_subsumption_resolution,[],[f3092,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM466+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n026.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 20:06:27 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.65/1.31 % (3175078)Detected formulas, will run a generic FOF schedule.
% 2.65/1.31 % (3175085)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=1779847477:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.31 % (3175087)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=229940066:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.31 % (3175083)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=1846062910:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.31 % (3175086)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1840716239:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.31 % (3175084)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=3235045865:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.31 % (3175088)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2220929083:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.31 % (3175086)Refutation not found, incomplete strategy
% 2.65/1.31 % (3175086)------------------------------
% 2.65/1.31 % (3175086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3175086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3175086)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3175086)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.31 % (3175086)Time elapsed: 0.001 s
% 2.65/1.31 % (3175086)Peak memory usage: 88 MB
% 2.65/1.31 % (3175089)dis-21_1_sil=8000:lcm=predicate:random_seed=2377395646:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.65/1.31 % (3175087)First to succeed.
% 2.65/1.31 % (3175087)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3175078"
% 2.65/1.31 % (3175088)Instruction limit reached!
% 2.65/1.31 % (3175088)------------------------------
% 2.65/1.31 % (3175088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3175088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3175088)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3175088)Termination reason: Instruction limit
% 2.65/1.31 % (3175088)Termination phase: Saturation
% 2.65/1.31 % (3175088)Time elapsed: 0.089 s
% 2.65/1.31 % (3175088)Peak memory usage: 90 MB
% 2.65/1.31 % (3175088)Instructions burned: 141 (million)
% 2.65/1.31 % (3175089)Instruction limit reached!
% 2.65/1.31 % (3175089)------------------------------
% 2.65/1.31 % (3175089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (3175089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (3175089)CaDiCaL version: 2.1.3
% 2.65/1.31 % (3175089)Termination reason: Instruction limit
% 2.65/1.31 % (3175089)Termination phase: Saturation
% 2.65/1.31 % (3175089)Time elapsed: 0.080 s
% 2.65/1.31 % (3175089)Peak memory usage: 90 MB
% 2.65/1.31 % (3175089)Instructions burned: 130 (million)
% 2.65/1.31 % (3175097)lrs+10_1_sil=8000:sp=occurrence:random_seed=2229248127:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.65/1.32 % (3175098)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1319442877:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.65/1.32 % (3175098)Refutation not found, incomplete strategy
% 2.65/1.32 % (3175098)------------------------------
% 2.65/1.32 % (3175098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.32 % (3175098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.32 % (3175098)CaDiCaL version: 2.1.3
% 2.65/1.32 % (3175098)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.32 % (3175098)Time elapsed: 0.003 s
% 2.65/1.32 % (3175098)Peak memory usage: 89 MB
% 2.65/1.32 % (3175098)Instructions burned: 3 (million)
% 2.65/1.32 % (3175086)------------------------------
% 2.65/1.32 % (3175086)------------------------------
% 2.65/1.32 % (3175087)Refutation found. Thanks to Tanya!
% 2.65/1.32 % SZS status Theorem for theBenchmark
% 2.65/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.51 % (3175087)------------------------------
% 3.75/1.51 % (3175087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.51 % (3175087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.51 % (3175087)CaDiCaL version: 2.1.3
% 3.75/1.51 % (3175087)Termination reason: Refutation
% 3.75/1.51 % (3175087)Time elapsed: 0.041 s
% 3.75/1.51 % (3175087)Peak memory usage: 89 MB
% 3.75/1.51 % (3175087)Instructions burned: 73 (million)
% 3.75/1.51 % (3175087)------------------------------
% 3.75/1.51 % (3175087)------------------------------
% 3.75/1.51 % (3175078)Success in time 0.437 s
% 3.75/1.51 % Vampire exiting
%------------------------------------------------------------------------------