%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM430+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 : 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 12:15:09 PM UTC 2026
% Result : Theorem 2.56s 1.28s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 19 unt; 9 def)
% Number of atoms : 259 ( 33 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 298 ( 126 ~; 120 |; 34 &)
% ( 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 : 9 ( 9 usr; 5 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/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mEquMod) ).
fof(f22,axiom,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00
& aInteger0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f23,axiom,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__853) ).
fof(f25,conjecture,
? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f28,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f29]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( aInteger0(X1)
& X1 != sz00
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 ) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f51,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(f52,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ),
inference(flattening,[],[f51]) ).
fof(f57,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f58,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,[],[f50]) ).
fof(f59,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,[],[f58]) ).
fof(f60,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,[],[f59]) ).
fof(f61,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))],[f60]) ).
fof(f62,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,[],[f52]) ).
fof(f65,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f85,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aInteger0(sK0(X0,X1))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f90,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,[],[f62]) ).
fof(f94,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f22]) ).
fof(f95,plain,
sz00 != xq,
inference(cnf_transformation,[],[f22]) ).
fof(f96,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f22]) ).
fof(f97,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f22]) ).
fof(f99,plain,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(cnf_transformation,[],[f23]) ).
fof(f103,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f106,definition,
! [X0,X1] :
( sQ1_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ1_eqProxy])],[equality_proxy_definition]) ).
fof(f125,plain,
! [X0,X1] :
( sQ1_eqProxy(sdtasdt0(X1,sK0(X0,X1)),X0)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f85,f106]) ).
fof(f127,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,[],[f90,f106]) ).
fof(f130,plain,
~ sQ1_eqProxy(sz00,xq),
inference(equality_proxy_replacement,[],[f95,f106]) ).
fof(f132,plain,
! [X0] :
( ~ sQ1_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f103,f106]) ).
fof(f141,definition,
( spl2_1
<=> aInteger0(xq) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f142,plain,
( ~ aInteger0(xq)
| spl2_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f147,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f142,f96]) ).
fof(f148,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f149,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq)) ),
inference(resolution,[],[f125,f132]) ).
fof(f151,definition,
( spl2_3
<=> aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f154,definition,
( spl2_4
<=> aInteger0(sdtpldt0(xb,smndt0(xc))) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f155,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| spl2_4 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,definition,
( spl2_5
<=> aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f159,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f149,f157,f154,f151]) ).
fof(f203,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1))) ),
inference(resolution,[],[f127,f130]) ).
fof(f206,definition,
( spl2_11
<=> ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f207,plain,
( ! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( ~ spl2_1
| spl2_11 ),
inference(avatar_split_clause,[],[f203,f206,f141]) ).
fof(f209,plain,
( aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(xc)
| ~ aInteger0(xb)
| ~ spl2_11 ),
inference(resolution,[],[f207,f99]) ).
fof(f221,definition,
( spl2_13
<=> aInteger0(xb) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f222,plain,
( ~ aInteger0(xb)
| spl2_13 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f228,definition,
( spl2_15
<=> aInteger0(xc) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f229,plain,
( ~ aInteger0(xc)
| spl2_15 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f231,plain,
( ~ spl2_13
| ~ spl2_15
| spl2_5
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f209,f206,f157,f228,f221]) ).
fof(f232,plain,
( $false
| spl2_13 ),
inference(resolution,[],[f222,f97]) ).
fof(f233,plain,
spl2_13,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f236,plain,
( $false
| spl2_15 ),
inference(resolution,[],[f229,f94]) ).
fof(f237,plain,
spl2_15,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f238,plain,
( aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| ~ spl2_5 ),
inference(resolution,[],[f230,f86]) ).
fof(f241,plain,
( ~ spl2_4
| spl2_3
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f238,f157,f151,f154]) ).
fof(f242,plain,
( ~ aInteger0(xb)
| ~ aInteger0(smndt0(xc))
| spl2_4 ),
inference(resolution,[],[f155,f66]) ).
fof(f244,definition,
( spl2_16
<=> aInteger0(smndt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f245,plain,
( ~ aInteger0(smndt0(xc))
| spl2_16 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( ~ spl2_16
| ~ spl2_13
| spl2_4 ),
inference(avatar_split_clause,[],[f242,f154,f221,f244]) ).
fof(f247,plain,
( ~ aInteger0(xc)
| spl2_16 ),
inference(resolution,[],[f245,f65]) ).
fof(f248,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f247,f244,f228]) ).
cnf(s2,plain,
spl2_1,
inference(sat_conversion,[],[f148]) ).
cnf(s3,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(sat_conversion,[],[f159]) ).
cnf(s9,plain,
( ~ spl2_1
| spl2_11 ),
inference(sat_conversion,[],[f208]) ).
cnf(s11,plain,
( spl2_5
| ~ spl2_11
| ~ spl2_13
| ~ spl2_15 ),
inference(sat_conversion,[],[f231]) ).
cnf(s12,plain,
spl2_13,
inference(sat_conversion,[],[f233]) ).
cnf(s14,plain,
spl2_15,
inference(sat_conversion,[],[f237]) ).
cnf(s15,plain,
( spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(sat_conversion,[],[f241]) ).
cnf(s16,plain,
( spl2_4
| ~ spl2_13
| ~ spl2_16 ),
inference(sat_conversion,[],[f246]) ).
cnf(s17,plain,
( ~ spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f248]) ).
cnf(s18,plain,
spl2_16,
inference(rat,[],[s17,s14]) ).
cnf(s19,plain,
spl2_4,
inference(rat,[],[s16,s18,s12]) ).
cnf(s20,plain,
( spl2_5
| ~ spl2_11 ),
inference(rat,[],[s11,s14,s12]) ).
cnf(s23,plain,
( ~ spl2_3
| ~ spl2_5 ),
inference(rat,[],[s3,s19]) ).
cnf(s24,plain,
spl2_11,
inference(rat,[],[s9,s2]) ).
cnf(s28,plain,
spl2_5,
inference(rat,[],[s20,s24]) ).
cnf(s30,plain,
spl2_3,
inference(rat,[],[s15,s19,s28]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s23,s28,s30]) ).
fof(f249,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM430+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 19:54:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.56/1.28 % (3705181)Detected formulas, will run a generic FOF schedule.
% 2.56/1.28 % (3705190)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3092681310:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.56/1.28 % (3705190)Instruction limit reached!
% 2.56/1.28 % (3705190)------------------------------
% 2.56/1.28 % (3705190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.28 % (3705190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.28 % (3705190)CaDiCaL version: 2.1.3
% 2.56/1.28 % (3705190)Termination reason: Instruction limit
% 2.56/1.28 % (3705190)Termination phase: Saturation
% 2.56/1.28 % (3705190)Time elapsed: 0.036 s
% 2.56/1.28 % (3705190)Peak memory usage: 88 MB
% 2.56/1.28 % (3705190)Instructions burned: 121 (million)
% 2.56/1.28 % (3705186)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=2368168757:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.56/1.28 % (3705187)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=3507593499:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.56/1.28 % (3705188)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=3346661061:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.56/1.28 % (3705189)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3760106335:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.56/1.28 % (3705191)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1958757667:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.56/1.28 % (3705192)dis-21_1_sil=8000:lcm=predicate:random_seed=3865162646: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)
% 2.56/1.28 % (3705192)First to succeed.
% 2.56/1.28 % (3705192)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3705181"
% 2.56/1.28 % (3705189)Instruction limit reached!
% 2.56/1.28 % (3705189)------------------------------
% 2.56/1.28 % (3705189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.28 % (3705189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.28 % (3705189)CaDiCaL version: 2.1.3
% 2.56/1.28 % (3705189)Termination reason: Instruction limit
% 2.56/1.28 % (3705189)Termination phase: Saturation
% 2.56/1.28 % (3705189)Time elapsed: 0.067 s
% 2.56/1.28 % (3705189)Peak memory usage: 89 MB
% 2.56/1.28 % (3705189)Instructions burned: 111 (million)
% 2.56/1.28 % (3705194)lrs+10_1_sil=8000:sp=occurrence:random_seed=2933674032:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.56/1.28 % (3705191)Instruction limit reached!
% 2.56/1.28 % (3705191)------------------------------
% 2.56/1.28 % (3705191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.28 % (3705191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.28 % (3705191)CaDiCaL version: 2.1.3
% 2.56/1.28 % (3705191)Termination reason: Instruction limit
% 2.56/1.28 % (3705191)Termination phase: Saturation
% 2.56/1.28 % (3705191)Time elapsed: 0.084 s
% 2.56/1.28 % (3705191)Peak memory usage: 90 MB
% 2.56/1.28 % (3705191)Instructions burned: 140 (million)
% 2.56/1.28 % (3705194)Instruction limit reached!
% 2.56/1.28 % (3705194)------------------------------
% 2.56/1.28 % (3705194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.28 % (3705194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.28 % (3705194)CaDiCaL version: 2.1.3
% 2.56/1.28 % (3705194)Termination reason: Instruction limit
% 2.56/1.28 % (3705194)Termination phase: Saturation
% 2.56/1.28 % (3705194)Time elapsed: 0.088 s
% 2.56/1.28 % (3705194)Peak memory usage: 92 MB
% 2.56/1.28 % (3705194)Instructions burned: 287 (million)
% 2.56/1.28 % (3705201)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3797722247:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.56/1.28 % (3705203)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4012943287:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.56/1.28 % (3705204)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=3492162897:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.56/1.28 % (3705192)Refutation found. Thanks to Tanya!
% 2.56/1.28 % SZS status Theorem for theBenchmark
% 2.56/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.37 % (3705192)------------------------------
% 3.40/1.37 % (3705192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.37 % (3705192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.37 % (3705192)CaDiCaL version: 2.1.3
% 3.40/1.37 % (3705192)Termination reason: Refutation
% 3.40/1.37 % (3705192)Time elapsed: 0.005 s
% 3.40/1.37 % (3705192)Peak memory usage: 89 MB
% 3.40/1.37 % (3705192)Instructions burned: 6 (million)
% 3.40/1.37 % (3705192)------------------------------
% 3.40/1.37 % (3705192)------------------------------
% 3.40/1.37 % (3705181)Success in time 0.409 s
% 3.40/1.37 % Vampire exiting
%------------------------------------------------------------------------------