%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG106+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:36:04 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 12 unt; 7 def)
% Number of atoms : 270 ( 46 equ)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 295 ( 85 ~; 84 |; 96 &)
% ( 12 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 54 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,conjecture,
( ! [X0,X1,X2] :
( ( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0 )
| aElementOf0(X0,slsdtgt0(xc)) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& aElement0(X2) )
=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = sdtpldt0(X0,X1) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = sdtasdt0(X2,X0) )
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
<=> ? [X1] :
( aElement0(X1)
& sdtasdt0(xc,X1) = X0 ) ) )
=> ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0 )
| aElementOf0(X0,slsdtgt0(xc)) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& aElement0(X2) )
=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = sdtpldt0(X0,X1) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = sdtasdt0(X2,X0) )
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
<=> ? [X1] :
( aElement0(X1)
& sdtasdt0(xc,X1) = X0 ) ) )
=> ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f44,plain,
~ ( ! [X0,X1,X2] :
( ( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0 )
| aElementOf0(X0,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& aElement0(X2) )
=> ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X0
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& ? [X7] :
( aElement0(X7)
& sdtpldt0(X0,X1) = sdtasdt0(xc,X7) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X8] :
( aElement0(X8)
& sdtasdt0(X2,X0) = sdtasdt0(xc,X8) )
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( aElement0(X10)
& sdtasdt0(xc,X10) = X9 ) ) )
=> ( ! [X11] :
( aElementOf0(X11,slsdtgt0(xc))
=> ( ! [X12] :
( aElementOf0(X12,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X11,X12),slsdtgt0(xc)) )
& ! [X13] :
( aElement0(X13)
=> aElementOf0(sdtasdt0(X13,X11),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
inference(rectify,[],[f40]) ).
fof(f100,plain,
( ? [X11] :
( ( ? [X12] :
( ~ aElementOf0(sdtpldt0(X11,X12),slsdtgt0(xc))
& aElementOf0(X12,slsdtgt0(xc)) )
| ? [X13] :
( ~ aElementOf0(sdtasdt0(X13,X11),slsdtgt0(xc))
& aElement0(X13) ) )
& aElementOf0(X11,slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc))
& aSet0(slsdtgt0(xc))
& ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( aElement0(X10)
& sdtasdt0(xc,X10) = X9 ) )
& ! [X0,X1,X2] :
( ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X0
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& ? [X7] :
( aElement0(X7)
& sdtpldt0(X0,X1) = sdtasdt0(xc,X7) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X8] :
( aElement0(X8)
& sdtasdt0(X2,X0) = sdtasdt0(xc,X8) )
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) )
| ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(xc,X3) != X0 )
& ~ aElementOf0(X0,slsdtgt0(xc)) )
| ( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xc,X4) != X1 )
& ~ aElementOf0(X1,slsdtgt0(xc)) )
| ~ aElement0(X2) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f101,plain,
( ? [X11] :
( ( ? [X12] :
( ~ aElementOf0(sdtpldt0(X11,X12),slsdtgt0(xc))
& aElementOf0(X12,slsdtgt0(xc)) )
| ? [X13] :
( ~ aElementOf0(sdtasdt0(X13,X11),slsdtgt0(xc))
& aElement0(X13) ) )
& aElementOf0(X11,slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc))
& aSet0(slsdtgt0(xc))
& ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( aElement0(X10)
& sdtasdt0(xc,X10) = X9 ) )
& ! [X0,X1,X2] :
( ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X0
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& ? [X7] :
( aElement0(X7)
& sdtpldt0(X0,X1) = sdtasdt0(xc,X7) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X8] :
( aElement0(X8)
& sdtasdt0(X2,X0) = sdtasdt0(xc,X8) )
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) )
| ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(xc,X3) != X0 )
& ~ aElementOf0(X0,slsdtgt0(xc)) )
| ( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xc,X4) != X1 )
& ~ aElementOf0(X1,slsdtgt0(xc)) )
| ~ aElement0(X2) ) ),
inference(flattening,[],[f100]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f213,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X2)
| sdtasdt0(xc,X4) != X1
| ~ aElement0(X4)
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f231,plain,
( ~ aElementOf0(sdtasdt0(sK23,sK20),slsdtgt0(xc))
| aElementOf0(sK24,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f232,plain,
( ~ aElementOf0(sdtasdt0(sK23,sK20),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(sK20,sK24),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f233,plain,
( aElement0(sK23)
| aElementOf0(sK24,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f234,plain,
( aElement0(sK23)
| ~ aElementOf0(sdtpldt0(sK20,sK24),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f242,plain,
! [X9] :
( ~ aElementOf0(X9,slsdtgt0(xc))
| aElement0(sK22(X9)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f246,plain,
aElementOf0(sK20,slsdtgt0(xc)),
inference(cnf_transformation,[],[f101]) ).
fof(f297,plain,
! [X2,X0,X4] :
( ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ),
inference(equality_resolution,[],[f213]) ).
fof(f318,definition,
( spl28_2
<=> ! [X2] : ~ aElement0(X2) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f319,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f373,definition,
( spl28_15
<=> ! [X2,X0] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f374,plain,
( ! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(xc)) )
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl28_16
<=> ! [X0,X1] :
( ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ) ),
introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).
fof(f378,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) )
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f379,plain,
( spl28_16
| spl28_2 ),
inference(avatar_split_clause,[],[f208,f318,f377]) ).
fof(f380,plain,
( spl28_2
| spl28_15 ),
inference(avatar_split_clause,[],[f297,f373,f318]) ).
fof(f399,definition,
( spl28_21
<=> aElementOf0(sK24,slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl28_21])],[avatar_definition]) ).
fof(f401,plain,
( aElementOf0(sK24,slsdtgt0(xc))
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl28_22
<=> aElementOf0(sdtasdt0(sK23,sK20),slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl28_22])],[avatar_definition]) ).
fof(f405,plain,
( ~ aElementOf0(sdtasdt0(sK23,sK20),slsdtgt0(xc))
| spl28_22 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f406,plain,
( spl28_21
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f231,f403,f399]) ).
fof(f408,definition,
( spl28_23
<=> aElementOf0(sdtpldt0(sK20,sK24),slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl28_23])],[avatar_definition]) ).
fof(f410,plain,
( ~ aElementOf0(sdtpldt0(sK20,sK24),slsdtgt0(xc))
| spl28_23 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
( ~ spl28_23
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f232,f403,f408]) ).
fof(f413,definition,
( spl28_24
<=> aElement0(sK23) ),
introduced(definition,[new_symbols(definition,[spl28_24])],[avatar_definition]) ).
fof(f416,plain,
( spl28_21
| spl28_24 ),
inference(avatar_split_clause,[],[f233,f413,f399]) ).
fof(f417,plain,
( ~ spl28_23
| spl28_24 ),
inference(avatar_split_clause,[],[f234,f413,f408]) ).
fof(f420,plain,
aElement0(sK22(sK20)),
inference(resolution,[],[f242,f246]) ).
fof(f424,plain,
( $false
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f420,f319]) ).
fof(f425,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f463,plain,
( ~ aElement0(sK23)
| ~ aElementOf0(sK20,slsdtgt0(xc))
| ~ spl28_15
| spl28_22 ),
inference(resolution,[],[f374,f405]) ).
fof(f473,plain,
( ~ aElement0(sK23)
| ~ spl28_15
| spl28_22 ),
inference(forward_subsumption_resolution,[],[f463,f246]) ).
fof(f474,plain,
( ~ spl28_24
| ~ spl28_15
| spl28_22 ),
inference(avatar_split_clause,[],[f473,f403,f373,f413]) ).
fof(f486,plain,
( ~ aElementOf0(sK20,slsdtgt0(xc))
| ~ aElementOf0(sK24,slsdtgt0(xc))
| ~ spl28_16
| spl28_23 ),
inference(resolution,[],[f378,f410]) ).
fof(f494,plain,
( ~ aElementOf0(sK24,slsdtgt0(xc))
| ~ spl28_16
| spl28_23 ),
inference(forward_subsumption_resolution,[],[f486,f246]) ).
fof(f495,plain,
( $false
| ~ spl28_16
| ~ spl28_21
| spl28_23 ),
inference(forward_subsumption_resolution,[],[f494,f401]) ).
fof(f496,plain,
( ~ spl28_16
| ~ spl28_21
| spl28_23 ),
inference(avatar_contradiction_clause,[],[f495]) ).
cnf(s18,plain,
( spl28_2
| spl28_16 ),
inference(sat_conversion,[],[f379]) ).
cnf(s19,plain,
( spl28_2
| spl28_15 ),
inference(sat_conversion,[],[f380]) ).
cnf(s25,plain,
( spl28_21
| ~ spl28_22 ),
inference(sat_conversion,[],[f406]) ).
cnf(s26,plain,
( ~ spl28_22
| ~ spl28_23 ),
inference(sat_conversion,[],[f411]) ).
cnf(s27,plain,
( spl28_21
| spl28_24 ),
inference(sat_conversion,[],[f416]) ).
cnf(s28,plain,
( ~ spl28_23
| spl28_24 ),
inference(sat_conversion,[],[f417]) ).
cnf(s31,plain,
~ spl28_2,
inference(sat_conversion,[],[f425]) ).
cnf(s32,plain,
( ~ spl28_15
| spl28_22
| ~ spl28_24 ),
inference(sat_conversion,[],[f474]) ).
cnf(s33,plain,
( ~ spl28_16
| ~ spl28_21
| spl28_23 ),
inference(sat_conversion,[],[f496]) ).
cnf(s38,plain,
spl28_15,
inference(rat,[],[s19,s31]) ).
cnf(s39,plain,
spl28_16,
inference(rat,[],[s18,s31]) ).
cnf(s52,plain,
spl28_21,
inference(rat,[],[s32,s25,s27,s38]) ).
cnf(s53,plain,
spl28_23,
inference(rat,[],[s33,s39,s52]) ).
cnf(s54,plain,
spl28_24,
inference(rat,[],[s28,s53]) ).
cnf(s55,plain,
~ spl28_22,
inference(rat,[],[s26,s53]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s32,s38,s54,s55]) ).
fof(f497,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG106+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.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 23:16:44 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % (1882017)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (1882025)dis+10_1_sil=32000:sp=arity:random_seed=2050256471:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (1882023)% WARNING: option uhcvi not known.
% 0.18/0.49 % (1882022)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1607652503_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % (1882023)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2794757662:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (1882024)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3615579457:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (1882026)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=754730709:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (1882027)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3375706484:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (1882028)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1775570561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % (1882026) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1882017-1882026"...
% 0.18/0.49 % (1882026)...printing done.
% 0.18/0.49 % (1882026)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (1882026)------------------------------
% 0.18/0.49 % (1882026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (1882026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (1882026)CaDiCaL version: 2.1.3
% 0.18/0.49 % (1882026)Termination reason: Refutation
% 0.18/0.49 % (1882026)Time elapsed: 0.013 s
% 0.18/0.49 % (1882026)Peak memory usage: 13 MB
% 0.18/0.49 % (1882026)Instructions burned: 21 (million)
% 0.18/0.49 % (1882017)Success in time 0.052 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------