%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO621+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:54:53 AM UTC 2026
% Result : Theorem 0.95s 0.61s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 64 ( 13 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 146 ( 51 ~; 47 |; 34 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 283 ( 265 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) )
=> cyclic(X1,X7,X2,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110984) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) )
=> cyclic(X1,X7,X2,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f271,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f367,plain,
perp(sK24,sK26,sK24,sK27),
inference(cnf_transformation,[],[f250]) ).
fof(f372,plain,
~ cyclic(sK21,sK27,sK22,sK28),
inference(cnf_transformation,[],[f250]) ).
fof(f454,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK26)
| para(X0,X1,sK24,sK27) ),
inference(resolution,[],[f259,f367]) ).
fof(f526,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
inference(resolution,[],[f269,f290]) ).
fof(f568,plain,
perp(sK24,sK27,sK24,sK26),
inference(resolution,[],[f258,f367]) ).
fof(f571,plain,
para(sK24,sK27,sK24,sK27),
inference(resolution,[],[f568,f454]) ).
fof(f607,plain,
! [X0,X1] : eqangle(X0,X1,sK24,sK27,X0,X1,sK24,sK27),
inference(resolution,[],[f571,f526]) ).
fof(f716,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f607,f289]) ).
fof(f728,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f716,f317]) ).
fof(f737,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f728,f252]) ).
fof(f740,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f737,f251]) ).
fof(f906,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f271,f290]) ).
fof(f1054,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(resolution,[],[f253,f740]) ).
fof(f1091,plain,
! [X2,X0,X1] : coll(X2,X1,X0),
inference(forward_subsumption_resolution,[],[f1054,f740]) ).
fof(f2587,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[],[f293,f1091]) ).
fof(f2829,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f2587,f906]) ).
fof(f2890,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f2829,f716]) ).
fof(f2925,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X3,X2) ),
inference(resolution,[],[f2890,f267]) ).
fof(f2930,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X3,X2),
inference(forward_subsumption_resolution,[],[f2925,f2890]) ).
fof(f2948,plain,
$false,
inference(resolution,[],[f2930,f372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO621+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:39:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.95/0.61 % (507139)Will run a generic schedule for satisfiability detection.
% 0.95/0.61 % (507148)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3094538550:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.95/0.61 % (507145)% WARNING: option uhcvi not known.
% 0.95/0.61 % (507144)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1935655209_2999 on theBenchmark for (2999ds/0Mi)
% 0.95/0.61 % (507145)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2661343208:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.95/0.61 % (507146)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2391689966:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.95/0.61 % (507147)dis+10_1_sil=32000:sp=arity:random_seed=406691665:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.95/0.61 % (507149)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2969084555:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.61 % (507150)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=86507672:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.95/0.61 % TRYING [1]
% 0.95/0.61 % TRYING [2]
% 0.95/0.61 % (507148)Instruction limit reached!
% 0.95/0.61 % (507148)------------------------------
% 0.95/0.61 % (507148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.61 % (507148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.61 % (507148)CaDiCaL version: 2.1.3
% 0.95/0.61 % (507148)Termination reason: Instruction limit
% 0.95/0.61 % (507148)Termination phase: Saturation
% 0.95/0.61 % (507148)Time elapsed: 0.038 s
% 0.95/0.61 % (507148)Peak memory usage: 13 MB
% 0.95/0.61 % (507148)Instructions burned: 118 (million)
% 0.95/0.61 % TRYING [3]
% 0.95/0.61 % (507158)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2358180281:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.95/0.61 % TRYING [1]
% 0.95/0.61 % TRYING [2]
% 0.95/0.61 % (507147)Instruction limit reached!
% 0.95/0.61 % (507147)------------------------------
% 0.95/0.61 % (507147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.61 % (507147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.61 % (507147)CaDiCaL version: 2.1.3
% 0.95/0.61 % (507147)Termination reason: Instruction limit
% 0.95/0.61 % (507147)Termination phase: Saturation
% 0.95/0.61 % (507147)Time elapsed: 0.067 s
% 0.95/0.61 % (507147)Peak memory usage: 12 MB
% 0.95/0.61 % (507147)Instructions burned: 104 (million)
% 0.95/0.61 % (507149)Instruction limit reached!
% 0.95/0.61 % (507149)------------------------------
% 0.95/0.61 % (507149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.61 % (507149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.61 % (507149)CaDiCaL version: 2.1.3
% 0.95/0.61 % (507149)Termination reason: Instruction limit
% 0.95/0.61 % (507149)Termination phase: Saturation
% 0.95/0.61 % (507149)Time elapsed: 0.080 s
% 0.95/0.61 % (507149)Peak memory usage: 14 MB
% 0.95/0.61 % (507149)Instructions burned: 131 (million)
% 0.95/0.61 % (507150)Instruction limit reached!
% 0.95/0.61 % (507150)------------------------------
% 0.95/0.61 % (507150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.61 % (507150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.61 % (507150)CaDiCaL version: 2.1.3
% 0.95/0.61 % (507150)Termination reason: Instruction limit
% 0.95/0.61 % (507150)Termination phase: Saturation
% 0.95/0.61 % (507150)Time elapsed: 0.085 s
% 0.95/0.61 % (507150)Peak memory usage: 13 MB
% 0.95/0.61 % (507150)Instructions burned: 161 (million)
% 0.95/0.61 % (507160)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3678040994:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.95/0.61 % TRYING [3]
% 0.95/0.61 % (507161)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1301625417:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.95/0.61 % (507162)ott-21_1_sil=16000:fs=off:random_seed=852420778:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.95/0.61 % (507161) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-507139-507161"...
% 0.95/0.61 % (507161)...printing done.
% 0.95/0.61 % (507161)Refutation found. Thanks to Tanya!
% 0.95/0.61 % SZS status Theorem for theBenchmark
% 0.95/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.95/0.62 % (507161)------------------------------
% 0.95/0.62 % (507161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.62 % (507161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.62 % (507161)CaDiCaL version: 2.1.3
% 0.95/0.62 % (507161)Termination reason: Refutation
% 0.95/0.62 % (507161)Time elapsed: 0.056 s
% 0.95/0.62 % (507161)Peak memory usage: 14 MB
% 0.95/0.62 % (507161)Instructions burned: 93 (million)
% 0.95/0.62 % (507139)Success in time 0.204 s
% 0.95/0.62 % Vampire exiting
%------------------------------------------------------------------------------