%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM425+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 : n018.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 12:15:07 PM UTC 2026
% Result : Theorem 2.52s 1.27s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 20 unt; 9 def)
% Number of atoms : 257 ( 33 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 296 ( 126 ~; 120 |; 32 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 62 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f21,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__704) ).
fof(f22,axiom,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__724) ).
fof(f23,conjecture,
? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f24,negated_conjecture,
~ ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f26,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f27]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(ennf_transformation,[],[f19]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = X0 ) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ aInteger0(X1)
| sz00 = X1
| ! [X2] :
( ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X0 ) )
& ( ( aInteger0(X1)
& X1 != sz00
& aInteger0(sK0(X0,X1))
& sdtasdt0(X1,sK0(X0,X1)) = X0 )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(nnf_transformation,[],[f50]) ).
fof(f61,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f81,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aInteger0(sK0(X0,X1))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f89,plain,
sz00 != xq,
inference(cnf_transformation,[],[f21]) ).
fof(f90,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f21]) ).
fof(f91,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f21]) ).
fof(f92,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f21]) ).
fof(f93,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(cnf_transformation,[],[f22]) ).
fof(f94,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f97,definition,
! [X0,X1] :
( sQ1_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ1_eqProxy])],[equality_proxy_definition]) ).
fof(f116,plain,
! [X0,X1] :
( sQ1_eqProxy(sdtasdt0(X1,sK0(X0,X1)),X0)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f81,f97]) ).
fof(f118,plain,
! [X2,X0,X1] :
( sQ1_eqProxy(sz00,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ),
inference(equality_proxy_replacement,[],[f86,f97]) ).
fof(f120,plain,
~ sQ1_eqProxy(sz00,xq),
inference(equality_proxy_replacement,[],[f89,f97]) ).
fof(f121,plain,
! [X0] :
( ~ sQ1_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f94,f97]) ).
fof(f130,definition,
( spl2_1
<=> aInteger0(xq) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f131,plain,
( ~ aInteger0(xq)
| spl2_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f136,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f131,f90]) ).
fof(f137,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f138,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),xq)) ),
inference(resolution,[],[f116,f121]) ).
fof(f140,definition,
( spl2_3
<=> aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),xq)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f143,definition,
( spl2_4
<=> aInteger0(sdtpldt0(xa,smndt0(xb))) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f144,plain,
( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| spl2_4 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,definition,
( spl2_5
<=> aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f148,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f138,f146,f143,f140]) ).
fof(f186,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1))) ),
inference(resolution,[],[f118,f120]) ).
fof(f189,definition,
( spl2_10
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f190,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( ~ spl2_1
| spl2_10 ),
inference(avatar_split_clause,[],[f186,f189,f130]) ).
fof(f192,plain,
( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| ~ spl2_10 ),
inference(resolution,[],[f190,f93]) ).
fof(f198,definition,
( spl2_11
<=> aInteger0(xa) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f199,plain,
( ~ aInteger0(xa)
| spl2_11 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,definition,
( spl2_12
<=> aInteger0(xb) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f202,plain,
( ~ aInteger0(xb)
| spl2_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f204,plain,
( ~ spl2_11
| ~ spl2_12
| spl2_5
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f192,f189,f146,f201,f198]) ).
fof(f205,plain,
( $false
| spl2_11 ),
inference(resolution,[],[f199,f92]) ).
fof(f206,plain,
spl2_11,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f207,plain,
( $false
| spl2_12 ),
inference(resolution,[],[f202,f91]) ).
fof(f208,plain,
spl2_12,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f209,plain,
( aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ spl2_5 ),
inference(resolution,[],[f203,f82]) ).
fof(f212,plain,
( ~ spl2_4
| spl2_3
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f209,f146,f140,f143]) ).
fof(f213,plain,
( ~ aInteger0(xa)
| ~ aInteger0(smndt0(xb))
| spl2_4 ),
inference(resolution,[],[f144,f62]) ).
fof(f215,definition,
( spl2_13
<=> aInteger0(smndt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f216,plain,
( ~ aInteger0(smndt0(xb))
| spl2_13 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( ~ spl2_13
| ~ spl2_11
| spl2_4 ),
inference(avatar_split_clause,[],[f213,f143,f198,f215]) ).
fof(f218,plain,
( ~ aInteger0(xb)
| spl2_13 ),
inference(resolution,[],[f216,f61]) ).
fof(f219,plain,
( ~ spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f218,f215,f201]) ).
cnf(s2,plain,
spl2_1,
inference(sat_conversion,[],[f137]) ).
cnf(s3,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s8,plain,
( ~ spl2_1
| spl2_10 ),
inference(sat_conversion,[],[f191]) ).
cnf(s9,plain,
( spl2_5
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12 ),
inference(sat_conversion,[],[f204]) ).
cnf(s10,plain,
spl2_11,
inference(sat_conversion,[],[f206]) ).
cnf(s11,plain,
spl2_12,
inference(sat_conversion,[],[f208]) ).
cnf(s12,plain,
( spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(sat_conversion,[],[f212]) ).
cnf(s13,plain,
( spl2_4
| ~ spl2_11
| ~ spl2_13 ),
inference(sat_conversion,[],[f217]) ).
cnf(s14,plain,
( ~ spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f219]) ).
cnf(s15,plain,
spl2_13,
inference(rat,[],[s14,s11]) ).
cnf(s16,plain,
spl2_4,
inference(rat,[],[s13,s15,s10]) ).
cnf(s17,plain,
( spl2_5
| ~ spl2_10 ),
inference(rat,[],[s9,s11,s10]) ).
cnf(s19,plain,
( ~ spl2_3
| ~ spl2_5 ),
inference(rat,[],[s3,s16]) ).
cnf(s20,plain,
spl2_10,
inference(rat,[],[s8,s2]) ).
cnf(s23,plain,
spl2_5,
inference(rat,[],[s17,s20]) ).
cnf(s24,plain,
spl2_3,
inference(rat,[],[s12,s16,s23]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s19,s23,s24]) ).
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM425+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 19:53:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.52/1.27 % (2687369)Detected formulas, will run a generic FOF schedule.
% 2.52/1.27 % (2687378)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=70573373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.52/1.27 % (2687378)Instruction limit reached!
% 2.52/1.27 % (2687378)------------------------------
% 2.52/1.27 % (2687378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.27 % (2687378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.27 % (2687378)CaDiCaL version: 2.1.3
% 2.52/1.27 % (2687378)Termination reason: Instruction limit
% 2.52/1.27 % (2687378)Termination phase: Saturation
% 2.52/1.27 % (2687378)Time elapsed: 0.037 s
% 2.52/1.27 % (2687378)Peak memory usage: 88 MB
% 2.52/1.27 % (2687378)Instructions burned: 122 (million)
% 2.52/1.27 % (2687379)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1293866097:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.52/1.27 % (2687376)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=2868608082:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.52/1.27 % (2687377)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2538673015:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.52/1.27 % (2687375)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=2446765997:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.52/1.27 % (2687374)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=98863845:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.52/1.27 % (2687380)dis-21_1_sil=8000:lcm=predicate:random_seed=2354624697: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)
% 2.52/1.27 % (2687380)First to succeed.
% 2.52/1.27 % (2687380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2687369"
% 2.52/1.27 % (2687377)Instruction limit reached!
% 2.52/1.27 % (2687377)------------------------------
% 2.52/1.27 % (2687377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.27 % (2687377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.27 % (2687377)CaDiCaL version: 2.1.3
% 2.52/1.27 % (2687377)Termination reason: Instruction limit
% 2.52/1.27 % (2687377)Termination phase: Saturation
% 2.52/1.27 % (2687377)Time elapsed: 0.067 s
% 2.52/1.27 % (2687377)Peak memory usage: 89 MB
% 2.52/1.27 % (2687377)Instructions burned: 110 (million)
% 2.52/1.27 % (2687379)Instruction limit reached!
% 2.52/1.27 % (2687379)------------------------------
% 2.52/1.27 % (2687379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.27 % (2687379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.27 % (2687379)CaDiCaL version: 2.1.3
% 2.52/1.27 % (2687379)Termination reason: Instruction limit
% 2.52/1.27 % (2687379)Termination phase: Saturation
% 2.52/1.27 % (2687379)Time elapsed: 0.085 s
% 2.52/1.27 % (2687379)Peak memory usage: 90 MB
% 2.52/1.27 % (2687379)Instructions burned: 139 (million)
% 2.52/1.27 % (2687388)lrs+10_1_sil=8000:sp=occurrence:random_seed=2410196363:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.52/1.27 % (2687388)Instruction limit reached!
% 2.52/1.27 % (2687388)------------------------------
% 2.52/1.27 % (2687388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.27 % (2687388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.27 % (2687388)CaDiCaL version: 2.1.3
% 2.52/1.27 % (2687388)Termination reason: Instruction limit
% 2.52/1.27 % (2687388)Termination phase: Saturation
% 2.52/1.27 % (2687388)Time elapsed: 0.092 s
% 2.52/1.27 % (2687388)Peak memory usage: 93 MB
% 2.52/1.27 % (2687388)Instructions burned: 286 (million)
% 2.52/1.27 % (2687389)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4118261085:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.52/1.27 % (2687390)lrs+1011_1_sil=32000:sp=occurrence:random_seed=89133971:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.52/1.27 % (2687380)Refutation found. Thanks to Tanya!
% 2.52/1.27 % SZS status Theorem for theBenchmark
% 2.52/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.37 % (2687380)------------------------------
% 3.49/1.37 % (2687380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (2687380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (2687380)CaDiCaL version: 2.1.3
% 3.49/1.37 % (2687380)Termination reason: Refutation
% 3.49/1.37 % (2687380)Time elapsed: 0.005 s
% 3.49/1.37 % (2687380)Peak memory usage: 89 MB
% 3.49/1.37 % (2687380)Instructions burned: 5 (million)
% 3.49/1.37 % (2687380)------------------------------
% 3.49/1.37 % (2687380)------------------------------
% 3.49/1.37 % (2687369)Success in time 0.429 s
% 3.49/1.37 % Vampire exiting
%------------------------------------------------------------------------------