%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS114+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 11:42:18 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.45s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 10 unt; 1 def)
% Number of atoms : 265 ( 17 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 318 ( 123 ~; 113 |; 67 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 132 ( 0 sgn 102 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X1] :
( rs(X0,X1)
& ca_Ax3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f26,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f27,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f30,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cqxcomp(X0)
& cpxcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f31,axiom,
! [X0] :
( ca_Ax4(X0)
<=> ( ! [X1,X2] :
( ( rinvR(X0,X1)
& rinvR(X0,X2) )
=> X1 = X2 )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f32,axiom,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f33,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f34,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax3(X2) ) ) ),
inference(rectify,[],[f25]) ).
fof(f80,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f82,plain,
! [X0] :
( ca_Ax4(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f83,plain,
! [X0] :
( ca_Ax4(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( cp(X1)
| ~ rs(X0,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f86,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax3(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f87,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax3(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( ? [X3] :
( rr(X0,X3)
& ca_Ax4(X3) )
& ? [X4] :
( rs(X0,X4)
& ca_Ax3(X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( rr(X0,sK0(X0))
& ca_Ax4(sK0(X0))
& rs(X0,sK1(X0))
& ca_Ax3(sK1(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f91,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f91]) ).
fof(f93,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f94,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f94]) ).
fof(f102,plain,
! [X0] :
( ( ca_Ax3(X0)
| ~ cqxcomp(X0)
| ~ cpxcomp(X0) )
& ( ( cqxcomp(X0)
& cpxcomp(X0) )
| ~ ca_Ax3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f103,plain,
! [X0] :
( ( ca_Ax3(X0)
| ~ cqxcomp(X0)
| ~ cpxcomp(X0) )
& ( ( cqxcomp(X0)
& cpxcomp(X0) )
| ~ ca_Ax3(X0) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( ca_Ax4(X0)
| ? [X1,X2] :
( X1 != X2
& rinvR(X0,X1)
& rinvR(X0,X2) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) )
| ~ ca_Ax4(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f105,plain,
! [X0] :
( ( ca_Ax4(X0)
| ? [X1,X2] :
( X1 != X2
& rinvR(X0,X1)
& rinvR(X0,X2) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) )
| ~ ca_Ax4(X0) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ( ca_Ax4(X0)
| ? [X1,X2] :
( X1 != X2
& rinvR(X0,X1)
& rinvR(X0,X2) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rinvR(X0,X4)
| ~ rinvR(X0,X5) )
& ? [X6] :
( rinvR(X0,X6)
& ca_Vx5(X6) ) )
| ~ ca_Ax4(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( ca_Ax4(X0)
| ( sK6(X0) != sK7(X0)
& rinvR(X0,sK6(X0))
& rinvR(X0,sK7(X0)) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rinvR(X0,X4)
| ~ rinvR(X0,X5) )
& rinvR(X0,sK8(X0))
& ca_Vx5(sK8(X0)) )
| ~ ca_Ax4(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0)),skolemize(X6,sK8(X0))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ca_Vx5(X0)
| ? [X1] :
( ~ cp(X1)
& rs(X0,X1) ) )
& ( ! [X1] :
( cp(X1)
| ~ rs(X0,X1) )
| ~ ca_Vx5(X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f109,plain,
! [X0] :
( ( ca_Vx5(X0)
| ? [X1] :
( ~ cp(X1)
& rs(X0,X1) ) )
& ( ! [X2] :
( cp(X2)
| ~ rs(X0,X2) )
| ~ ca_Vx5(X0) ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ca_Vx5(X0)
| ( ~ cp(sK9(X0))
& rs(X0,sK9(X0)) ) )
& ( ! [X2] :
( cp(X2)
| ~ rs(X0,X2) )
| ~ ca_Vx5(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f138,plain,
! [X0] :
( ca_Ax3(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f140,plain,
! [X0] :
( ca_Ax4(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f143,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f151,plain,
! [X0] :
( ~ ca_Ax3(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f154,plain,
! [X0] :
( ca_Vx5(sK8(X0))
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f155,plain,
! [X0] :
( rinvR(X0,sK8(X0))
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f156,plain,
! [X0,X4,X5] :
( ~ rinvR(X0,X5)
| ~ rinvR(X0,X4)
| X4 = X5
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f160,plain,
! [X2,X0] :
( ~ rs(X0,X2)
| cp(X2)
| ~ ca_Vx5(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f164,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f165,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(cnf_transformation,[],[f34]) ).
fof(f190,plain,
! [X0] :
( cpxcomp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f138,f151]) ).
fof(f194,plain,
! [X0] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[],[f145,f143]) ).
fof(f195,plain,
! [X0] :
( ~ cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f194,f190]) ).
fof(f206,plain,
! [X0] :
( rinvR(sK0(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f164,f141]) ).
fof(f208,plain,
! [X0] :
( cp(sK1(X0))
| ~ ca_Vx5(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f160,f139]) ).
fof(f210,plain,
! [X0] :
( ~ ca_Vx5(X0)
| ~ cUnsatisfiable(X0) ),
inference(forward_subsumption_resolution,[],[f208,f195]) ).
fof(f211,plain,
! [X0] :
( ~ cUnsatisfiable(sK8(X0))
| ~ ca_Ax4(X0) ),
inference(resolution,[],[f210,f154]) ).
fof(f212,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| sK8(X0) = X1
| ~ ca_Ax4(X0)
| ~ ca_Ax4(X0) ),
inference(resolution,[],[f156,f155]) ).
fof(f213,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| sK8(X0) = X1
| ~ ca_Ax4(X0) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f227,plain,
! [X0] :
( sK8(sK0(X0)) = X0
| ~ ca_Ax4(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f213,f206]) ).
fof(f229,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK8(sK0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f227,f140]) ).
fof(f233,plain,
i2003_11_14_17_21_262 = sK8(sK0(i2003_11_14_17_21_262)),
inference(resolution,[],[f229,f165]) ).
fof(f237,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ~ ca_Ax4(sK0(i2003_11_14_17_21_262)) ),
inference(superposition,[],[f211,f233]) ).
fof(f242,definition,
( spl10_1
<=> ca_Ax4(sK0(i2003_11_14_17_21_262)) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f244,plain,
( ~ ca_Ax4(sK0(i2003_11_14_17_21_262))
| spl10_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f260,plain,
~ ca_Ax4(sK0(i2003_11_14_17_21_262)),
inference(forward_subsumption_resolution,[],[f237,f165]) ).
fof(f261,plain,
~ spl10_1,
inference(avatar_split_clause,[],[f260,f242]) ).
fof(f262,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| spl10_1 ),
inference(resolution,[],[f244,f140]) ).
fof(f263,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f262,f165]) ).
fof(f264,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f263]) ).
cnf(s4,plain,
~ spl10_1,
inference(sat_conversion,[],[f261]) ).
cnf(s5,plain,
spl10_1,
inference(sat_conversion,[],[f264]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f265,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS114+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37 % Computer : n018.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 13:28:23 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.41 Running first-order model finding
% 0.08/0.41 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
% 0.08/0.45 % (2355603)Will run a generic schedule for satisfiability detection.
% 0.08/0.45 % (2355608)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2813242239_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.45 % TRYING [1]
% 0.08/0.45 % TRYING [2]
% 0.08/0.45 % TRYING [3]
% 0.08/0.45 % TRYING [4]
% 0.08/0.45 % TRYING [5]
% 0.08/0.45 % TRYING [6]
% 0.08/0.45 % (2355609)% WARNING: option uhcvi not known.
% 0.08/0.45 % TRYING [7]
% 0.08/0.45 % (2355610)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2881699338:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.45 % TRYING [8]
% 0.08/0.45 % (2355611)dis+10_1_sil=32000:sp=arity:random_seed=3782982024:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.45 % (2355612)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3216874598:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.45 % (2355613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2539703625:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.45 % (2355614)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1655097326:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.45 % (2355609)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3464375382:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.45 % TRYING [9]
% 0.08/0.45 % (2355611) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2355603-2355611"...
% 0.08/0.45 % (2355614) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2355603-2355614"...
% 0.08/0.45 % (2355612) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2355603-2355612"...
% 0.08/0.45 % TRYING [10]
% 0.08/0.45 % (2355609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2355603-2355609"...
% 0.08/0.45 % (2355611)...printing done.
% 0.08/0.45 % (2355613) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2355603-2355613"...
% 0.08/0.45 % (2355612)...printing done.
% 0.08/0.45 % (2355611)Refutation found. Thanks to Tanya!
% 0.08/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.46 % (2355611)------------------------------
% 0.08/0.46 % (2355611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.46 % (2355611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.46 % (2355611)CaDiCaL version: 2.1.3
% 0.08/0.46 % (2355611)Termination reason: Refutation
% 0.08/0.46 % (2355611)Time elapsed: 0.005 s
% 0.08/0.46 % (2355611)Peak memory usage: 12 MB
% 0.08/0.46 % (2355611)Instructions burned: 5 (million)
% 0.08/0.46 % (2355603)Success in time 0.039 s
% 0.08/0.46 % Vampire exiting
%------------------------------------------------------------------------------