%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG108+4 : 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 : 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 12:35:33 PM UTC 2026
% Result : Theorem 3.08s 1.32s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 83 ( 21 unt; 11 def)
% Number of atoms : 241 ( 37 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 291 ( 133 ~; 110 |; 36 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 40 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f43,conjecture,
( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = xa )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xb,X0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xb)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xb,X0) = xb )
| aElementOf0(xb,slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f44,negated_conjecture,
~ ( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = xa )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xb,X0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xb)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xb,X0) = xb )
| aElementOf0(xb,slsdtgt0(xb)) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f54,plain,
~ ( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = sz00 )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [X1] :
( aElement0(X1)
& xa = sdtasdt0(xa,X1) )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( ? [X2] :
( aElement0(X2)
& sz00 = sdtasdt0(xb,X2) )
| aElementOf0(sz00,slsdtgt0(xb)) )
& ( ? [X3] :
( aElement0(X3)
& xb = sdtasdt0(xb,X3) )
| aElementOf0(xb,slsdtgt0(xb)) ) ),
inference(rectify,[],[f44]) ).
fof(f72,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f76,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| sz00 != sdtasdt0(xa,X0) )
& ~ aElementOf0(sz00,slsdtgt0(xa)) )
| ( ! [X1] :
( ~ aElement0(X1)
| xa != sdtasdt0(xa,X1) )
& ~ aElementOf0(xa,slsdtgt0(xa)) )
| ( ! [X2] :
( ~ aElement0(X2)
| sz00 != sdtasdt0(xb,X2) )
& ~ aElementOf0(sz00,slsdtgt0(xb)) )
| ( ! [X3] :
( ~ aElement0(X3)
| xb != sdtasdt0(xb,X3) )
& ~ aElementOf0(xb,slsdtgt0(xb)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f116,definition,
( ( ! [X3] :
( ~ aElement0(X3)
| xb != sdtasdt0(xb,X3) )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f117,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| sz00 != sdtasdt0(xa,X0) )
& ~ aElementOf0(sz00,slsdtgt0(xa)) )
| ( ! [X1] :
( ~ aElement0(X1)
| xa != sdtasdt0(xa,X1) )
& ~ aElementOf0(xa,slsdtgt0(xa)) )
| ( ! [X2] :
( ~ aElement0(X2)
| sz00 != sdtasdt0(xb,X2) )
& ~ aElementOf0(sz00,slsdtgt0(xb)) )
| sP4 ),
inference(definition_folding,[],[f109,f116]) ).
fof(f160,plain,
( ( ! [X3] :
( ~ aElement0(X3)
| xb != sdtasdt0(xb,X3) )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f116]) ).
fof(f161,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| xb != sdtasdt0(xb,X0) )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ~ sP4 ),
inference(rectify,[],[f160]) ).
fof(f162,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f182,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f252,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f253,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f291,plain,
! [X0] :
( ~ aElement0(X0)
| xb != sdtasdt0(xb,X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f161]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 != sdtasdt0(xa,X0)
| ~ aElement0(X1)
| xa != sdtasdt0(xa,X1)
| ~ aElement0(X2)
| sz00 != sdtasdt0(xb,X2)
| sP4 ),
inference(cnf_transformation,[],[f117]) ).
fof(f315,definition,
! [X0,X1] :
( sQ32_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ32_eqProxy])],[equality_proxy_definition]) ).
fof(f324,plain,
! [X0] :
( sQ32_eqProxy(sdtasdt0(X0,sz10),X0)
| ~ aElement0(X0) ),
inference(equality_proxy_replacement,[],[f176,f315]) ).
fof(f330,plain,
! [X0] :
( sQ32_eqProxy(sz00,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ),
inference(equality_proxy_replacement,[],[f182,f315]) ).
fof(f363,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sQ32_eqProxy(xb,sdtasdt0(xb,X0))
| ~ sP4 ),
inference(equality_proxy_replacement,[],[f291,f315]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ sQ32_eqProxy(sz00,sdtasdt0(xa,X0))
| ~ aElement0(X1)
| ~ sQ32_eqProxy(xa,sdtasdt0(xa,X1))
| ~ aElement0(X2)
| ~ sQ32_eqProxy(sz00,sdtasdt0(xb,X2))
| sP4 ),
inference(equality_proxy_replacement,[],[f299,f315,f315,f315]) ).
fof(f372,plain,
! [X0,X1] :
( sQ32_eqProxy(X1,X0)
| ~ sQ32_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f315]) ).
fof(f374,definition,
( spl33_1
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f387,definition,
( spl33_5
<=> ! [X2] :
( ~ aElement0(X2)
| ~ sQ32_eqProxy(sz00,sdtasdt0(xb,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f388,plain,
( ! [X2] :
( ~ sQ32_eqProxy(sz00,sdtasdt0(xb,X2))
| ~ aElement0(X2) )
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl33_6
<=> ! [X1] :
( ~ aElement0(X1)
| ~ sQ32_eqProxy(xa,sdtasdt0(xa,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f392,plain,
( ! [X1] :
( ~ sQ32_eqProxy(xa,sdtasdt0(xa,X1))
| ~ aElement0(X1) )
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f396,definition,
( spl33_7
<=> ! [X0] :
( ~ aElement0(X0)
| ~ sQ32_eqProxy(sz00,sdtasdt0(xa,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f397,plain,
( ! [X0] :
( ~ sQ32_eqProxy(sz00,sdtasdt0(xa,X0))
| ~ aElement0(X0) )
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f401,plain,
( spl33_1
| spl33_5
| spl33_6
| spl33_7 ),
inference(avatar_split_clause,[],[f364,f396,f391,f387,f374]) ).
fof(f408,definition,
( spl33_9
<=> ! [X0] :
( ~ aElement0(X0)
| ~ sQ32_eqProxy(xb,sdtasdt0(xb,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f409,plain,
( ! [X0] :
( ~ sQ32_eqProxy(xb,sdtasdt0(xb,X0))
| ~ aElement0(X0) )
| ~ spl33_9 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( ~ spl33_1
| spl33_9 ),
inference(avatar_split_clause,[],[f363,f408,f374]) ).
fof(f434,plain,
( ~ aElement0(xb)
| ~ aElement0(sz00)
| ~ spl33_5 ),
inference(resolution,[],[f330,f388]) ).
fof(f436,definition,
( spl33_12
<=> aElement0(sz00) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f437,plain,
( ~ aElement0(sz00)
| spl33_12 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl33_13
<=> aElement0(xb) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f440,plain,
( ~ aElement0(xb)
| spl33_13 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( ~ spl33_12
| ~ spl33_13
| ~ spl33_5 ),
inference(avatar_split_clause,[],[f434,f387,f439,f436]) ).
fof(f442,plain,
( $false
| spl33_12 ),
inference(resolution,[],[f437,f162]) ).
fof(f443,plain,
spl33_12,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f444,plain,
( $false
| spl33_13 ),
inference(resolution,[],[f440,f252]) ).
fof(f445,plain,
spl33_13,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f446,plain,
( ! [X0] :
( ~ sQ32_eqProxy(sdtasdt0(xa,X0),xa)
| ~ aElement0(X0) )
| ~ spl33_6 ),
inference(resolution,[],[f392,f372]) ).
fof(f447,plain,
( ~ aElement0(sz10)
| ~ aElement0(xa)
| ~ spl33_6 ),
inference(resolution,[],[f446,f324]) ).
fof(f450,definition,
( spl33_14
<=> aElement0(xa) ),
introduced(definition,[new_symbols(definition,[spl33_14])],[avatar_definition]) ).
fof(f451,plain,
( ~ aElement0(xa)
| spl33_14 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,definition,
( spl33_15
<=> aElement0(sz10) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f454,plain,
( ~ aElement0(sz10)
| spl33_15 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( ~ spl33_14
| ~ spl33_15
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f447,f391,f453,f450]) ).
fof(f456,plain,
( $false
| spl33_14 ),
inference(resolution,[],[f451,f253]) ).
fof(f457,plain,
spl33_14,
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f458,plain,
( $false
| spl33_15 ),
inference(resolution,[],[f454,f163]) ).
fof(f459,plain,
spl33_15,
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f460,plain,
( ~ aElement0(sz00)
| ~ aElement0(xa)
| ~ spl33_7 ),
inference(resolution,[],[f397,f330]) ).
fof(f462,plain,
( ~ spl33_14
| ~ spl33_12
| ~ spl33_7 ),
inference(avatar_split_clause,[],[f460,f396,f436,f450]) ).
fof(f463,plain,
( ! [X0] :
( ~ sQ32_eqProxy(sdtasdt0(xb,X0),xb)
| ~ aElement0(X0) )
| ~ spl33_9 ),
inference(resolution,[],[f409,f372]) ).
fof(f464,plain,
( ~ aElement0(sz10)
| ~ aElement0(xb)
| ~ spl33_9 ),
inference(resolution,[],[f463,f324]) ).
fof(f466,plain,
( ~ spl33_13
| ~ spl33_15
| ~ spl33_9 ),
inference(avatar_split_clause,[],[f464,f408,f453,f439]) ).
cnf(s8,plain,
( spl33_1
| spl33_5
| spl33_6
| spl33_7 ),
inference(sat_conversion,[],[f401]) ).
cnf(s10,plain,
( ~ spl33_1
| spl33_9 ),
inference(sat_conversion,[],[f410]) ).
cnf(s12,plain,
( ~ spl33_5
| ~ spl33_12
| ~ spl33_13 ),
inference(sat_conversion,[],[f441]) ).
cnf(s13,plain,
spl33_12,
inference(sat_conversion,[],[f443]) ).
cnf(s14,plain,
spl33_13,
inference(sat_conversion,[],[f445]) ).
cnf(s15,plain,
( ~ spl33_6
| ~ spl33_14
| ~ spl33_15 ),
inference(sat_conversion,[],[f455]) ).
cnf(s16,plain,
spl33_14,
inference(sat_conversion,[],[f457]) ).
cnf(s17,plain,
spl33_15,
inference(sat_conversion,[],[f459]) ).
cnf(s18,plain,
( ~ spl33_7
| ~ spl33_12
| ~ spl33_14 ),
inference(sat_conversion,[],[f462]) ).
cnf(s19,plain,
( ~ spl33_9
| ~ spl33_13
| ~ spl33_15 ),
inference(sat_conversion,[],[f466]) ).
cnf(s20,plain,
~ spl33_6,
inference(rat,[],[s15,s17,s16]) ).
cnf(s21,plain,
~ spl33_9,
inference(rat,[],[s19,s17,s14]) ).
cnf(s22,plain,
~ spl33_7,
inference(rat,[],[s18,s16,s13]) ).
cnf(s23,plain,
~ spl33_5,
inference(rat,[],[s12,s14,s13]) ).
cnf(s24,plain,
~ spl33_1,
inference(rat,[],[s10,s21]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s8,s22,s20,s23,s24]) ).
fof(f467,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG108+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n006.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 23:18:40 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 3.08/1.32 % (3439309)Detected formulas, will run a generic FOF schedule.
% 3.08/1.32 % (3439316)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=1267454627:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.08/1.32 % (3439319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3133870568:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.08/1.32 % (3439318)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4065386451:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.08/1.32 % (3439320)dis-21_1_sil=8000:lcm=predicate:random_seed=1702112006: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)
% 3.08/1.32 % (3439317)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=789626464:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.08/1.32 % (3439314)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=3263888760:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.08/1.32 % (3439315)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=3166209878:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.08/1.32 % (3439320)First to succeed.
% 3.08/1.32 % (3439319)Also succeeded, but the first one will report.
% 3.08/1.32 % (3439320)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3439309"
% 3.08/1.32 % (3439317)Instruction limit reached!
% 3.08/1.32 % (3439317)------------------------------
% 3.08/1.32 % (3439317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.32 % (3439317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.32 % (3439317)CaDiCaL version: 2.1.3
% 3.08/1.32 % (3439317)Termination reason: Instruction limit
% 3.08/1.32 % (3439317)Termination phase: Saturation
% 3.08/1.32 % (3439317)Time elapsed: 0.074 s
% 3.08/1.32 % (3439317)Peak memory usage: 89 MB
% 3.08/1.32 % (3439317)Instructions burned: 110 (million)
% 3.08/1.32 % (3439318)Instruction limit reached!
% 3.08/1.32 % (3439318)------------------------------
% 3.08/1.32 % (3439318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.32 % (3439318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.32 % (3439318)CaDiCaL version: 2.1.3
% 3.08/1.32 % (3439318)Termination reason: Instruction limit
% 3.08/1.32 % (3439318)Termination phase: Saturation
% 3.08/1.32 % (3439318)Time elapsed: 0.076 s
% 3.08/1.32 % (3439318)Peak memory usage: 88 MB
% 3.08/1.32 % (3439318)Instructions burned: 120 (million)
% 3.08/1.32 % (3439328)lrs+10_1_sil=8000:sp=occurrence:random_seed=3114177604:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.08/1.32 % (3439329)lrs+10_1_sil=32000:urr=on:br=off:random_seed=740163704:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.08/1.32 % (3439320)Refutation found. Thanks to Tanya!
% 3.08/1.32 % SZS status Theorem for theBenchmark
% 3.08/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.52 % (3439320)------------------------------
% 3.78/1.52 % (3439320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.52 % (3439320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.52 % (3439320)CaDiCaL version: 2.1.3
% 3.78/1.52 % (3439320)Termination reason: Refutation
% 3.78/1.52 % (3439320)Time elapsed: 0.007 s
% 3.78/1.52 % (3439320)Peak memory usage: 89 MB
% 3.78/1.52 % (3439320)Instructions burned: 9 (million)
% 3.78/1.52 % (3439320)------------------------------
% 3.78/1.52 % (3439320)------------------------------
% 3.78/1.52 % (3439309)Success in time 0.448 s
% 3.78/1.52 % Vampire exiting
%------------------------------------------------------------------------------