%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:54:20 AM UTC 2026
% Result : Theorem 7.26s 1.67s
% Output : Refutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 193 ( 61 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 265 ( 117 ~; 108 |; 33 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 91 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) )
=> X0 = vd1095 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) )
=> X0 = vd1095 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1081,vd1095)
& rcenter(vd1080,vd1095)
& rcircle(vd1095) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(f8,axiom,
? [X0] :
( vd1081 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(f9,axiom,
? [X0] :
( vd1080 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f105,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f107,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f126,plain,
? [X0] :
( vd1095 != X0
& ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f127,plain,
? [X0] :
( vd1095 != X0
& ron(vd1081,X0)
& rcenter(vd1080,X0)
& rcircle(X0) ),
inference(flattening,[],[f126]) ).
fof(f294,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f294]) ).
fof(f298,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f299,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f298]) ).
fof(f394,plain,
( vd1095 != sK36
& ron(vd1081,sK36)
& rcenter(vd1080,sK36)
& rcircle(sK36) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f127]) ).
fof(f395,plain,
( vd1081 = sK37
& rpoint(sK37) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f8]) ).
fof(f396,plain,
( vd1080 = sK38
& rpoint(sK38) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X0,sK38)],[f9]) ).
fof(f506,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f295]) ).
fof(f523,plain,
rcenter(vd1080,sK36),
inference(cnf_transformation,[],[f394]) ).
fof(f524,plain,
ron(vd1081,sK36),
inference(cnf_transformation,[],[f394]) ).
fof(f525,plain,
vd1095 != sK36,
inference(cnf_transformation,[],[f394]) ).
fof(f527,plain,
rcenter(vd1080,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f528,plain,
ron(vd1081,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f535,plain,
rpoint(sK37),
inference(cnf_transformation,[],[f395]) ).
fof(f536,plain,
vd1081 = sK37,
inference(cnf_transformation,[],[f395]) ).
fof(f538,plain,
vd1080 = sK38,
inference(cnf_transformation,[],[f396]) ).
fof(f777,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f506]) ).
fof(f780,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(cnf_transformation,[],[f299]) ).
fof(f808,plain,
ron(sK37,sK36),
inference(definition_unfolding,[],[f524,f536]) ).
fof(f809,plain,
rcenter(sK38,sK36),
inference(definition_unfolding,[],[f523,f538]) ).
fof(f810,plain,
ron(sK37,vd1095),
inference(definition_unfolding,[],[f528,f536]) ).
fof(f811,plain,
rcenter(sK38,vd1095),
inference(definition_unfolding,[],[f527,f538]) ).
fof(f1150,plain,
! [X2,X3,X0,X1,X5] :
( vf(X2,X0) = vf(X2,X5)
| ~ ron(X0,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f777]) ).
fof(f1151,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| vf(X2,X1) = vf(X2,X5)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1150]) ).
fof(f1162,plain,
! [X2,X3,X0,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f780]) ).
fof(f1163,plain,
! [X2,X3,X6,X4,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1162]) ).
fof(f1326,plain,
! [X0,X1] :
( ~ ron(X0,sK36)
| ~ ron(X1,sK36)
| ~ rpoint(X1)
| vf(sK38,X0) = vf(sK38,X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1151,f809]) ).
fof(f1328,plain,
! [X0] :
( ~ ron(X0,sK36)
| ~ rpoint(X0)
| vf(sK38,X0) = vf(sK38,sK37)
| ~ rpoint(sK37) ),
inference(resolution,[],[f1326,f808]) ).
fof(f1344,plain,
! [X0] :
( ~ ron(X0,sK36)
| ~ rpoint(X0)
| vf(sK38,X0) = vf(sK38,sK37) ),
inference(global_subsumption,[],[f1328,f535]) ).
fof(f1503,plain,
! [X2,X0,X1] :
( ~ rcenter(sK38,X2)
| ~ ron(X0,X2)
| ~ ron(X1,sK36)
| vf(sK38,X0) != vf(sK38,X1)
| sK36 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1163,f809]) ).
fof(f1506,plain,
! [X0,X1] :
( ~ ron(X0,vd1095)
| ~ ron(X1,sK36)
| vf(sK38,X0) != vf(sK38,X1)
| vd1095 = sK36
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1503,f811]) ).
fof(f1507,plain,
! [X0,X1] :
( ~ ron(X0,vd1095)
| ~ ron(X1,sK36)
| vf(sK38,X0) != vf(sK38,X1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(global_subsumption,[],[f1506,f525]) ).
fof(f1509,plain,
! [X0] :
( ~ ron(X0,sK36)
| vf(sK38,X0) != vf(sK38,sK37)
| ~ rpoint(sK37)
| ~ rpoint(X0) ),
inference(resolution,[],[f1507,f810]) ).
fof(f1526,plain,
! [X0] :
( ~ ron(X0,sK36)
| ~ rpoint(X0) ),
inference(global_subsumption,[],[f1509,f1344,f535]) ).
fof(f1529,plain,
~ rpoint(sK37),
inference(resolution,[],[f1526,f808]) ).
fof(f1535,plain,
$false,
inference(global_subsumption,[],[f1529,f535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:00:24 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 2.00/0.92 % (2007428)Will run a generic schedule for satisfiability detection.
% 2.00/0.92 % (2007436)dis+10_1_sil=32000:sp=arity:random_seed=1848271848:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.00/0.92 % (2007434)% WARNING: option uhcvi not known.
% 2.00/0.92 % (2007433)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1441499582_2999 on theBenchmark for (2999ds/0Mi)
% 2.00/0.92 % (2007434)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1053990898:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.00/0.92 % (2007435)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=707731590:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.00/0.92 % (2007438)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1753683007:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.00/0.92 % (2007437)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4115851402:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.00/0.92 % (2007439)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2498235698:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.00/0.92 % (2007436)Instruction limit reached!
% 2.00/0.92 % (2007436)------------------------------
% 2.00/0.92 % (2007436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.92 % (2007436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.92 % (2007436)CaDiCaL version: 2.1.3
% 2.00/0.92 % (2007436)Termination reason: Instruction limit
% 2.00/0.92 % (2007436)Termination phase: Saturation
% 2.00/0.92 % (2007436)Time elapsed: 0.032 s
% 2.00/0.92 % (2007436)Peak memory usage: 13 MB
% 2.00/0.92 % (2007436)Instructions burned: 103 (million)
% 2.00/0.92 % Detected minimum model sizes of [3]
% 2.00/0.92 % Detected maximum model sizes of [max]
% 2.00/0.92 % (2007433)Cannot represent all propositional literals internally
% 2.00/0.92 % (2007433)Refutation not found, incomplete strategy
% 2.00/0.92 % (2007433)------------------------------
% 2.00/0.92 % (2007433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.92 % (2007433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.92 % (2007433)CaDiCaL version: 2.1.3
% 2.00/0.92 % (2007433)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.92 % (2007433)Time elapsed: 0.032 s
% 2.00/0.92 % (2007433)Peak memory usage: 12 MB
% 2.00/0.92 % (2007433)Instructions burned: 66 (million)
% 2.00/0.92 % (2007433)------------------------------
% 2.00/0.92 % (2007433)------------------------------
% 2.00/0.92 % (2007447)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1966166565:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.00/0.92 % Detected minimum model sizes of [3]
% 2.00/0.92 % Detected maximum model sizes of [max]
% 2.00/0.92 % (2007447)Cannot represent all propositional literals internally
% 2.00/0.92 % (2007447)Refutation not found, incomplete strategy
% 2.00/0.92 % (2007447)------------------------------
% 2.00/0.92 % (2007447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.92 % (2007447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.92 % (2007447)CaDiCaL version: 2.1.3
% 2.00/0.92 % (2007447)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.92 % (2007447)Time elapsed: 0.013 s
% 2.00/0.92 % (2007447)Peak memory usage: 11 MB
% 2.00/0.92 % (2007447)Instructions burned: 53 (million)
% 2.00/0.92 % (2007447)------------------------------
% 2.00/0.92 % (2007447)------------------------------
% 2.00/0.92 % (2007448)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1023680991:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.00/0.92 % (2007437)Instruction limit reached!
% 2.00/0.92 % (2007437)------------------------------
% 2.00/0.92 % (2007437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.92 % (2007437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.92 % (2007437)CaDiCaL version: 2.1.3
% 2.00/0.92 % (2007437)Termination reason: Instruction limit
% 2.00/0.92 % (2007437)Termination phase: Saturation
% 2.00/0.92 % (2007437)Time elapsed: 0.059 s
% 2.00/0.92 % (2007437)Peak memory usage: 13 MB
% 2.00/0.92 % (2007437)Instructions burned: 123 (million)
% 2.00/0.92 % (2007450)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=82384284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.14/1.30 % (2007438)Instruction limit reached!
% 5.14/1.30 % (2007438)------------------------------
% 5.14/1.30 % (2007438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.30 % (2007438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.30 % (2007438)CaDiCaL version: 2.1.3
% 5.14/1.30 % (2007438)Termination reason: Instruction limit
% 5.14/1.30 % (2007438)Termination phase: Saturation
% 5.14/1.30 % (2007438)Time elapsed: 0.064 s
% 5.14/1.30 % (2007438)Peak memory usage: 13 MB
% 5.14/1.30 % (2007438)Instructions burned: 132 (million)
% 5.14/1.30 % (2007454)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2053437453:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.14/1.30 % (2007453)ott-21_1_sil=16000:fs=off:random_seed=2664890357:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.14/1.30 % (2007439)Instruction limit reached!
% 5.14/1.30 % (2007439)------------------------------
% 5.14/1.30 % (2007439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.30 % (2007439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.30 % (2007439)CaDiCaL version: 2.1.3
% 5.14/1.30 % (2007439)Termination reason: Instruction limit
% 5.14/1.30 % (2007439)Termination phase: Saturation
% 5.14/1.30 % (2007439)Time elapsed: 0.092 s
% 5.14/1.30 % (2007439)Peak memory usage: 14 MB
% 5.14/1.30 % (2007439)Instructions burned: 159 (million)
% 5.14/1.30 % (2007448)Instruction limit reached!
% 5.14/1.30 % (2007448)------------------------------
% 5.14/1.30 % (2007448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.30 % (2007448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.30 % (2007448)CaDiCaL version: 2.1.3
% 5.14/1.30 % (2007448)Termination reason: Instruction limit
% 5.14/1.30 % (2007448)Termination phase: Saturation
% 5.14/1.30 % (2007448)Time elapsed: 0.057 s
% 5.14/1.30 % (2007448)Peak memory usage: 12 MB
% 5.14/1.30 % (2007448)Instructions burned: 132 (million)
% 5.14/1.30 % (2007457)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1536886941:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.14/1.30 % (2007458)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=84189222:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.14/1.30 % Detected minimum model sizes of [3]
% 5.14/1.30 % Detected maximum model sizes of [max]
% 5.14/1.30 % (2007457)Cannot represent all propositional literals internally
% 5.14/1.30 % (2007457)Refutation not found, incomplete strategy
% 5.14/1.30 % (2007457)------------------------------
% 5.14/1.30 % (2007457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.30 % (2007457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.30 % (2007457)CaDiCaL version: 2.1.3
% 5.14/1.30 % (2007457)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.30 % (2007457)Time elapsed: 0.026 s
% 5.14/1.30 % (2007457)Peak memory usage: 11 MB
% 5.14/1.30 % (2007457)Instructions burned: 54 (million)
% 5.14/1.30 % (2007457)------------------------------
% 5.14/1.30 % (2007457)------------------------------
% 5.14/1.30 % (2007461)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3332352622:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.14/1.30 % (2007453)Instruction limit reached!
% 5.14/1.30 % (2007453)------------------------------
% 5.14/1.30 % (2007453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.30 % (2007453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.30 % (2007453)CaDiCaL version: 2.1.3
% 5.14/1.30 % (2007453)Termination reason: Instruction limit
% 5.14/1.30 % (2007453)Termination phase: Saturation
% 5.14/1.30 % (2007453)Time elapsed: 0.097 s
% 5.14/1.30 % (2007453)Peak memory usage: 13 MB
% 5.14/1.30 % (2007453)Instructions burned: 180 (million)
% 5.14/1.30 % (2007461)Cannot represent all propositional literals internally
% 5.14/1.30 % (2007461)Refutation not found, incomplete strategy
% 5.14/1.30 % (2007461)------------------------------
% 5.14/1.30 % (2007461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.30 % (2007461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.30 % (2007461)CaDiCaL version: 2.1.3
% 5.14/1.30 % (2007461)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.30 % (2007461)Time elapsed: 0.025 s
% 5.14/1.30 % (2007461)Peak memory usage: 12 MB
% 5.14/1.30 % (2007461)Instructions burned: 53 (million)
% 7.26/1.67 % (2007461)------------------------------
% 7.26/1.67 % (2007461)------------------------------
% 7.26/1.67 % (2007463)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1680263183:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.26/1.67 % (2007464)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2568478932:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.26/1.67 % (2007454)Instruction limit reached!
% 7.26/1.67 % (2007454)------------------------------
% 7.26/1.67 % (2007454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007454)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007454)Termination reason: Instruction limit
% 7.26/1.67 % (2007454)Termination phase: Saturation
% 7.26/1.67 % (2007454)Time elapsed: 0.166 s
% 7.26/1.67 % (2007454)Peak memory usage: 15 MB
% 7.26/1.67 % (2007454)Instructions burned: 478 (million)
% 7.26/1.67 % (2007467)fmb+10_1_sil=64000:random_seed=4083166282:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 7.26/1.67 % Detected minimum model sizes of [3]
% 7.26/1.67 % Detected maximum model sizes of [max]
% 7.26/1.67 % (2007467)Cannot represent all propositional literals internally
% 7.26/1.67 % (2007467)Refutation not found, incomplete strategy
% 7.26/1.67 % (2007467)------------------------------
% 7.26/1.67 % (2007467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007467)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007467)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.67 % (2007467)Time elapsed: 0.013 s
% 7.26/1.67 % (2007467)Peak memory usage: 11 MB
% 7.26/1.67 % (2007467)Instructions burned: 50 (million)
% 7.26/1.67 % (2007467)------------------------------
% 7.26/1.67 % (2007467)------------------------------
% 7.26/1.67 % (2007469)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1943836296:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 7.26/1.67 % Detected minimum model sizes of [3]
% 7.26/1.67 % Detected maximum model sizes of [max]
% 7.26/1.67 % (2007469)Cannot represent all propositional literals internally
% 7.26/1.67 % (2007469)Refutation not found, incomplete strategy
% 7.26/1.67 % (2007469)------------------------------
% 7.26/1.67 % (2007469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007469)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007469)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.67 % (2007469)Time elapsed: 0.013 s
% 7.26/1.67 % (2007469)Peak memory usage: 11 MB
% 7.26/1.67 % (2007469)Instructions burned: 53 (million)
% 7.26/1.67 % (2007469)------------------------------
% 7.26/1.67 % (2007469)------------------------------
% 7.26/1.67 % (2007471)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=517980260:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 7.26/1.67 % Detected minimum model sizes of [3]
% 7.26/1.67 % Detected maximum model sizes of [max]
% 7.26/1.67 % (2007471)Cannot represent all propositional literals internally
% 7.26/1.67 % (2007471)Refutation not found, incomplete strategy
% 7.26/1.67 % (2007471)------------------------------
% 7.26/1.67 % (2007471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007471)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007471)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.67 % (2007471)Time elapsed: 0.013 s
% 7.26/1.67 % (2007471)Peak memory usage: 11 MB
% 7.26/1.67 % (2007471)Instructions burned: 53 (million)
% 7.26/1.67 % (2007471)------------------------------
% 7.26/1.67 % (2007471)------------------------------
% 7.26/1.67 % (2007473)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3848731789:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 7.26/1.67 % (2007450)Instruction limit reached!
% 7.26/1.67 % (2007450)------------------------------
% 7.26/1.67 % (2007450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007450)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007450)Termination reason: Instruction limit
% 7.26/1.67 % (2007450)Termination phase: Saturation
% 7.26/1.67 % (2007450)Time elapsed: 0.371 s
% 7.26/1.67 % (2007450)Peak memory usage: 21 MB
% 7.26/1.67 % (2007450)Instructions burned: 686 (million)
% 7.26/1.67 % (2007475)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1812984472:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 7.26/1.67 % (2007463)Instruction limit reached!
% 7.26/1.67 % (2007463)------------------------------
% 7.26/1.67 % (2007463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007463)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007463)Termination reason: Instruction limit
% 7.26/1.67 % (2007463)Termination phase: Saturation
% 7.26/1.67 % (2007463)Time elapsed: 0.304 s
% 7.26/1.67 % (2007463)Peak memory usage: 19 MB
% 7.26/1.67 % (2007463)Instructions burned: 693 (million)
% 7.26/1.67 % (2007477)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=221724769:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 7.26/1.67 % Detected minimum model sizes of [3]
% 7.26/1.67 % Detected maximum model sizes of [max]
% 7.26/1.67 % (2007477)Cannot represent all propositional literals internally
% 7.26/1.67 % (2007477)Refutation not found, incomplete strategy
% 7.26/1.67 % (2007477)------------------------------
% 7.26/1.67 % (2007477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007477)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007477)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.67 % (2007477)Time elapsed: 0.032 s
% 7.26/1.67 % (2007477)Peak memory usage: 12 MB
% 7.26/1.67 % (2007477)Instructions burned: 66 (million)
% 7.26/1.67 % (2007477)------------------------------
% 7.26/1.67 % (2007477)------------------------------
% 7.26/1.67 % (2007479)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1492135376:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 7.26/1.67 % Detected minimum model sizes of [3]
% 7.26/1.67 % Detected maximum model sizes of [max]
% 7.26/1.67 % (2007479)Cannot represent all propositional literals internally
% 7.26/1.67 % (2007479)Refutation not found, incomplete strategy
% 7.26/1.67 % (2007479)------------------------------
% 7.26/1.67 % (2007479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007479)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007479)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.67 % (2007479)Time elapsed: 0.026 s
% 7.26/1.67 % (2007479)Peak memory usage: 11 MB
% 7.26/1.67 % (2007479)Instructions burned: 55 (million)
% 7.26/1.67 % (2007479)------------------------------
% 7.26/1.67 % (2007479)------------------------------
% 7.26/1.67 % (2007481)ott-2_1_sil=16000:newcnf=on:random_seed=2311291125:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 7.26/1.67 % (2007464)Instruction limit reached!
% 7.26/1.67 % (2007464)------------------------------
% 7.26/1.67 % (2007464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007464)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007464)Termination reason: Instruction limit
% 7.26/1.67 % (2007464)Termination phase: Saturation
% 7.26/1.67 % (2007464)Time elapsed: 0.476 s
% 7.26/1.67 % (2007464)Peak memory usage: 20 MB
% 7.26/1.67 % (2007464)Instructions burned: 879 (million)
% 7.26/1.67 % (2007483)ott+10_1_sil=32000:tgt=ground:random_seed=1705986976:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 7.26/1.67 % (2007458)Instruction limit reached!
% 7.26/1.67 % (2007458)------------------------------
% 7.26/1.67 % (2007458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007458)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007458)Termination reason: Instruction limit
% 7.26/1.67 % (2007458)Termination phase: Saturation
% 7.26/1.67 % (2007458)Time elapsed: 0.626 s
% 7.26/1.67 % (2007458)Peak memory usage: 22 MB
% 7.26/1.67 % (2007458)Instructions burned: 1179 (million)
% 7.26/1.67 % (2007485)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=863308797:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 7.26/1.67 % Detected minimum model sizes of [3]
% 7.26/1.67 % Detected maximum model sizes of [max]
% 7.26/1.67 % (2007485)Cannot represent all propositional literals internally
% 7.26/1.67 % (2007485)Refutation not found, incomplete strategy
% 7.26/1.67 % (2007485)------------------------------
% 7.26/1.67 % (2007485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007485)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007485)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.67 % (2007485)Time elapsed: 0.032 s
% 7.26/1.67 % (2007485)Peak memory usage: 12 MB
% 7.26/1.67 % (2007485)Instructions burned: 66 (million)
% 7.26/1.67 % (2007485)------------------------------
% 7.26/1.67 % (2007485)------------------------------
% 7.26/1.67 % (2007487)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4288049987:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 7.26/1.67 % (2007481)Instruction limit reached!
% 7.26/1.67 % (2007481)------------------------------
% 7.26/1.67 % (2007481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007481)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007481)Termination reason: Instruction limit
% 7.26/1.67 % (2007481)Termination phase: Saturation
% 7.26/1.67 % (2007481)Time elapsed: 0.414 s
% 7.26/1.67 % (2007481)Peak memory usage: 15 MB
% 7.26/1.67 % (2007481)Instructions burned: 870 (million)
% 7.26/1.67 % (2007475)Instruction limit reached!
% 7.26/1.67 % (2007475)------------------------------
% 7.26/1.67 % (2007475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007475)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007475)Termination reason: Instruction limit
% 7.26/1.67 % (2007475)Termination phase: Saturation
% 7.26/1.67 % (2007475)Time elapsed: 0.594 s
% 7.26/1.67 % (2007475)Peak memory usage: 16 MB
% 7.26/1.67 % (2007475)Instructions burned: 1473 (million)
% 7.26/1.67 % (2007489)dis+21_1_sil=32000:sas=cadical:random_seed=3215366291:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 7.26/1.67 % (2007490)ott+11_1_sil=16000:gs=on:random_seed=1943866302:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 7.26/1.67 % (2007490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2007428-2007490"...
% 7.26/1.67 % (2007490)...printing done.
% 7.26/1.67 % (2007490)Refutation found. Thanks to Tanya!
% 7.26/1.67 % SZS status Theorem for theBenchmark
% 7.26/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 7.26/1.67 % (2007490)------------------------------
% 7.26/1.67 % (2007490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.67 % (2007490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.67 % (2007490)CaDiCaL version: 2.1.3
% 7.26/1.67 % (2007490)Termination reason: Refutation
% 7.26/1.67 % (2007490)Time elapsed: 0.108 s
% 7.26/1.67 % (2007490)Peak memory usage: 13 MB
% 7.26/1.67 % (2007490)Instructions burned: 261 (million)
% 7.26/1.67 % (2007428)Success in time 1.225 s
% 7.26/1.67 % Vampire exiting
%------------------------------------------------------------------------------