%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR074+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:42:39 AM UTC 2026
% Result : Theorem 23.56s 4.46s
% Output : Refutation 23.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 14 unt; 6 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 134 ( 60 ~; 55 |; 5 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_36) ).
fof(f2609,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_2609) ).
fof(f11699,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_11699) ).
fof(f13999,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_13999) ).
fof(f18015,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_18015) ).
fof(f26010,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_26010) ).
fof(f43403,axiom,
! [X0,X1,X2] :
( ( inregion(X0,X1)
& inregion(X1,X2) )
=> inregion(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_43403) ).
fof(f44208,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_44208) ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query224) ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44258,plain,
( ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) )
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44259,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f44208]) ).
fof(f44260,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f44259]) ).
fof(f44263,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(ennf_transformation,[],[f43403]) ).
fof(f44264,plain,
! [X0,X1,X2] :
( inregion(X0,X2)
| ~ inregion(X0,X1)
| ~ inregion(X1,X2) ),
inference(flattening,[],[f44263]) ).
fof(f44268,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f18015]) ).
fof(f44270,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f26010]) ).
fof(f44272,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f13999]) ).
fof(f44275,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f2609]) ).
fof(f44333,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f44258]) ).
fof(f44334,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ),
inference(cnf_transformation,[],[f44258]) ).
fof(f44335,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f44260]) ).
fof(f44340,plain,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f36]) ).
fof(f44343,plain,
! [X2,X0,X1] :
( ~ inregion(X1,X2)
| ~ inregion(X0,X1)
| inregion(X0,X2) ),
inference(cnf_transformation,[],[f44264]) ).
fof(f44347,plain,
! [X0,X1] :
( ~ geographicalsubregions(X0,X1)
| inregion(X1,X0) ),
inference(cnf_transformation,[],[f44268]) ).
fof(f44349,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f44270]) ).
fof(f44351,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(cnf_transformation,[],[f44272]) ).
fof(f44355,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f44275]) ).
fof(f44364,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f11699]) ).
fof(f44448,definition,
( spl0_3
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f44449,plain,
( mtvisible(c_tptpgeo_member7_mt)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44448]) ).
fof(f44458,definition,
( spl0_5
<=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f44460,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44458]) ).
fof(f44462,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f44355,f44458,f44448]) ).
fof(f44469,definition,
( spl0_7
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f44471,plain,
( ~ mtvisible(c_worldgeographymt)
| spl0_7 ),
inference(avatar_component_clause,[],[f44469]) ).
fof(f44473,definition,
( spl0_8
<=> geolevel_3(c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f44477,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f44351,f44473,f44469]) ).
fof(f44479,definition,
( spl0_9
<=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f44481,plain,
( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f44479]) ).
fof(f44483,plain,
( ~ spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f44349,f44479,f44448]) ).
fof(f44484,plain,
spl0_3,
inference(avatar_split_clause,[],[f44333,f44448]) ).
fof(f44486,definition,
( spl0_10
<=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f44488,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| spl0_10 ),
inference(avatar_component_clause,[],[f44486]) ).
fof(f44489,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f44334,f44486,f44473]) ).
fof(f44493,plain,
( inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ spl0_9 ),
inference(resolution,[],[f44481,f44347]) ).
fof(f44494,plain,
( ! [X0] :
( ~ inregion(X0,c_georegion_l4_x53_y74)
| inregion(X0,c_georegion_l3_x17_y24) )
| ~ spl0_9 ),
inference(resolution,[],[f44493,f44343]) ).
fof(f44495,plain,
( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f44494,f44460]) ).
fof(f44496,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f44495,f44488]) ).
fof(f44497,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f44496]) ).
fof(f44502,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolution,[],[f44340,f44335]) ).
fof(f44503,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f44502,f44449]) ).
fof(f44505,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(resolution,[],[f44364,f44335]) ).
fof(f44506,plain,
( mtvisible(c_worldgeographymt)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f44505,f44503]) ).
fof(f44507,plain,
( $false
| ~ spl0_3
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f44506,f44471]) ).
fof(f44508,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f44507]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f44462]) ).
cnf(s8,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f44477]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f44483]) ).
cnf(s11,plain,
spl0_3,
inference(sat_conversion,[],[f44484]) ).
cnf(s12,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f44489]) ).
cnf(s13,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f44497]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f44508]) ).
cnf(s15,plain,
spl0_7,
inference(rat,[],[s14,s11]) ).
cnf(s16,plain,
spl0_9,
inference(rat,[],[s10,s11]) ).
cnf(s17,plain,
spl0_8,
inference(rat,[],[s8,s15]) ).
cnf(s18,plain,
~ spl0_10,
inference(rat,[],[s12,s17]) ).
cnf(s19,plain,
~ spl0_5,
inference(rat,[],[s13,s16,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s5,s19,s11]) ).
fof(f44509,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR074+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 22:25:15 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 10.78/2.60 % (2256107)Detected formulas, will run a generic FOF schedule.
% 10.78/2.60 % (2256209)dis-21_1_sil=8000:lcm=predicate:random_seed=1766835362:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 10.78/2.60 % (2256205)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=413834641:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 10.78/2.60 % (2256204)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=875035123:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 10.78/2.60 % (2256208)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1550665955:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 10.78/2.60 % (2256203)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=63588927:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 10.78/2.60 % (2256207)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2997501871:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 10.78/2.60 % (2256206)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1723347492:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 10.78/2.60 % (2256209)Instruction limit reached!
% 10.78/2.60 % (2256209)------------------------------
% 10.78/2.60 % (2256209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.60 % (2256209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.60 % (2256209)CaDiCaL version: 2.1.3
% 10.78/2.60 % (2256209)Termination reason: Instruction limit
% 10.78/2.60 % (2256209)Termination phase: SInE selection
% 10.78/2.60 % (2256209)Time elapsed: 0.045 s
% 10.78/2.60 % (2256209)Peak memory usage: 111 MB
% 10.78/2.60 % (2256209)Instructions burned: 130 (million)
% 10.78/2.60 % (2256208)Instruction limit reached!
% 10.78/2.60 % (2256208)------------------------------
% 10.78/2.60 % (2256208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.60 % (2256208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.60 % (2256208)CaDiCaL version: 2.1.3
% 10.78/2.60 % (2256208)Termination reason: Instruction limit
% 10.78/2.60 % (2256208)Termination phase: Property scanning
% 10.78/2.60 % (2256208)Time elapsed: 0.063 s
% 10.78/2.60 % (2256208)Peak memory usage: 110 MB
% 10.78/2.60 % (2256208)Instructions burned: 139 (million)
% 10.78/2.60 % (2256206)Instruction limit reached!
% 10.78/2.60 % (2256206)------------------------------
% 10.78/2.60 % (2256206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.60 % (2256206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.60 % (2256206)CaDiCaL version: 2.1.3
% 10.78/2.60 % (2256206)Termination reason: Instruction limit
% 10.78/2.60 % (2256206)Termination phase: Saturation
% 10.78/2.60 % (2256206)Time elapsed: 0.079 s
% 10.78/2.60 % (2256206)Peak memory usage: 117 MB
% 10.78/2.60 % (2256206)Instructions burned: 111 (million)
% 10.78/2.60 % (2256207)Instruction limit reached!
% 10.78/2.60 % (2256207)------------------------------
% 10.78/2.60 % (2256207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.60 % (2256207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.60 % (2256207)CaDiCaL version: 2.1.3
% 10.78/2.60 % (2256207)Termination reason: Instruction limit
% 10.78/2.60 % (2256207)Termination phase: Saturation
% 10.78/2.60 % (2256207)Time elapsed: 0.082 s
% 10.78/2.60 % (2256207)Peak memory usage: 116 MB
% 10.78/2.60 % (2256207)Instructions burned: 120 (million)
% 10.78/2.60 % (2256243)lrs+10_1_sil=8000:sp=occurrence:random_seed=3531097330:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 10.78/2.60 % (2256266)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1760138918:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 10.78/2.60 % (2256276)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4112479281:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 10.78/2.60 % (2256274)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3184925765:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 10.78/2.60 % (2256243)Refutation not found, incomplete strategy
% 17.65/3.45 % (2256243)------------------------------
% 17.65/3.45 % (2256243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.45 % (2256243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.45 % (2256243)CaDiCaL version: 2.1.3
% 17.65/3.45 % (2256243)Termination reason: Refutation not found, incomplete strategy
% 17.65/3.45 % (2256243)Time elapsed: 0.086 s
% 17.65/3.45 % (2256243)Peak memory usage: 119 MB
% 17.65/3.45 % (2256243)Instructions burned: 110 (million)
% 17.65/3.45 % (2256266)Instruction limit reached!
% 17.65/3.45 % (2256266)------------------------------
% 17.65/3.45 % (2256266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.45 % (2256266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.45 % (2256266)CaDiCaL version: 2.1.3
% 17.65/3.45 % (2256266)Termination reason: Instruction limit
% 17.65/3.45 % (2256266)Termination phase: Property scanning
% 17.65/3.45 % (2256266)Time elapsed: 0.074 s
% 17.65/3.45 % (2256266)Peak memory usage: 110 MB
% 17.65/3.45 % (2256266)Instructions burned: 157 (million)
% 17.65/3.45 % (2256274)Refutation not found, incomplete strategy
% 17.65/3.45 % (2256274)------------------------------
% 17.65/3.45 % (2256274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.45 % (2256274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.45 % (2256274)CaDiCaL version: 2.1.3
% 17.65/3.45 % (2256274)Termination reason: Refutation not found, incomplete strategy
% 17.65/3.45 % (2256274)Time elapsed: 0.082 s
% 17.65/3.45 % (2256274)Peak memory usage: 119 MB
% 17.65/3.45 % (2256274)Instructions burned: 109 (million)
% 17.65/3.45 % (2256276)Instruction limit reached!
% 17.65/3.45 % (2256276)------------------------------
% 17.65/3.45 % (2256276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.45 % (2256276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.45 % (2256276)CaDiCaL version: 2.1.3
% 17.65/3.45 % (2256276)Termination reason: Instruction limit
% 17.65/3.45 % (2256276)Termination phase: SInE selection
% 17.65/3.45 % (2256276)Time elapsed: 0.120 s
% 17.65/3.45 % (2256276)Peak memory usage: 111 MB
% 17.65/3.45 % (2256276)Instructions burned: 249 (million)
% 17.65/3.45 % (2256243)------------------------------
% 17.65/3.45 % (2256243)------------------------------
% 17.65/3.45 % (2256330)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1146525273:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 17.65/3.45 % (2256331)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=990223932:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 17.65/3.45 % (2256348)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2481996082:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 17.65/3.45 % (2256330)Refutation not found, incomplete strategy
% 17.65/3.45 % (2256330)------------------------------
% 17.65/3.45 % (2256330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.45 % (2256330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.45 % (2256330)CaDiCaL version: 2.1.3
% 17.65/3.45 % (2256330)Termination reason: Refutation not found, incomplete strategy
% 17.65/3.45 % (2256330)Time elapsed: 0.122 s
% 17.65/3.45 % (2256330)Peak memory usage: 119 MB
% 17.65/3.45 % (2256330)Instructions burned: 198 (million)
% 17.65/3.45 % (2256274)------------------------------
% 17.65/3.45 % (2256274)------------------------------
% 17.65/3.45 % (2256348)Instruction limit reached!
% 17.65/3.45 % (2256348)------------------------------
% 17.65/3.45 % (2256348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.65/3.45 % (2256348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.65/3.45 % (2256348)CaDiCaL version: 2.1.3
% 17.65/3.45 % (2256348)Termination reason: Instruction limit
% 17.65/3.45 % (2256348)Termination phase: Saturation
% 17.65/3.45 % (2256348)Time elapsed: 0.050 s
% 17.65/3.45 % (2256348)Peak memory usage: 116 MB
% 17.65/3.45 % (2256348)Instructions burned: 115 (million)
% 17.65/3.45 % (2256384)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3371311211:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 17.65/3.45 % (2256383)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2732263956:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 17.65/3.45 % (2256384)Instruction limit reached!
% 15.39/4.21 % (2256384)------------------------------
% 15.39/4.21 % (2256384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256384)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256384)Termination reason: Instruction limit
% 15.39/4.21 % (2256384)Termination phase: Property scanning
% 15.39/4.21 % (2256384)Time elapsed: 0.033 s
% 15.39/4.21 % (2256384)Peak memory usage: 110 MB
% 15.39/4.21 % (2256384)Instructions burned: 116 (million)
% 15.39/4.21 % (2256330)------------------------------
% 15.39/4.21 % (2256330)------------------------------
% 15.39/4.21 % (2256383)Instruction limit reached!
% 15.39/4.21 % (2256383)------------------------------
% 15.39/4.21 % (2256383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256383)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256383)Termination reason: Instruction limit
% 15.39/4.21 % (2256383)Termination phase: Preprocessing 2
% 15.39/4.21 % (2256383)Time elapsed: 0.107 s
% 15.39/4.21 % (2256383)Peak memory usage: 117 MB
% 15.39/4.21 % (2256383)Instructions burned: 127 (million)
% 15.39/4.21 % (2256387)lrs+10_1_sil=8000:sp=occurrence:random_seed=3311668652:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 15.39/4.21 % (2256387)Refutation not found, incomplete strategy
% 15.39/4.21 % (2256387)------------------------------
% 15.39/4.21 % (2256387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256387)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256387)Termination reason: Refutation not found, incomplete strategy
% 15.39/4.21 % (2256387)Time elapsed: 0.062 s
% 15.39/4.21 % (2256387)Peak memory usage: 119 MB
% 15.39/4.21 % (2256387)Instructions burned: 130 (million)
% 15.39/4.21 % (2256388)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3135177530:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 15.39/4.21 % (2256389)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=346416347:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 15.39/4.21 % (2256388)Refutation not found, incomplete strategy
% 15.39/4.21 % (2256388)------------------------------
% 15.39/4.21 % (2256388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256388)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256388)Termination reason: Refutation not found, incomplete strategy
% 15.39/4.21 % (2256388)Time elapsed: 0.089 s
% 15.39/4.21 % (2256388)Peak memory usage: 119 MB
% 15.39/4.21 % (2256388)Instructions burned: 108 (million)
% 15.39/4.21 % (2256387)------------------------------
% 15.39/4.21 % (2256387)------------------------------
% 15.39/4.21 % (2256204)Refutation not found, incomplete strategy
% 15.39/4.21 % (2256204)------------------------------
% 15.39/4.21 % (2256204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256204)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256204)Termination reason: Refutation not found, incomplete strategy
% 15.39/4.21 % (2256204)Time elapsed: 1.215 s
% 15.39/4.21 % (2256204)Peak memory usage: 178 MB
% 15.39/4.21 % (2256204)Instructions burned: 1791 (million)
% 15.39/4.21 % (2256393)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=542382980:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 15.39/4.21 % (2256393)Instruction limit reached!
% 15.39/4.21 % (2256393)------------------------------
% 15.39/4.21 % (2256393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256393)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256393)Termination reason: Instruction limit
% 15.39/4.21 % (2256393)Termination phase: Saturation
% 15.39/4.21 % (2256393)Time elapsed: 0.055 s
% 15.39/4.21 % (2256393)Peak memory usage: 118 MB
% 15.39/4.21 % (2256393)Instructions burned: 136 (million)
% 15.39/4.21 % (2256388)------------------------------
% 15.39/4.21 % (2256388)------------------------------
% 15.39/4.21 % (2256395)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3493544732:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 15.39/4.21 % (2256204)------------------------------
% 15.39/4.21 % (2256204)------------------------------
% 15.39/4.21 % (2256395)Refutation not found, incomplete strategy
% 15.39/4.21 % (2256395)------------------------------
% 15.39/4.21 % (2256395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256395)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256395)Termination reason: Refutation not found, incomplete strategy
% 15.39/4.21 % (2256395)Time elapsed: 0.069 s
% 15.39/4.21 % (2256395)Peak memory usage: 119 MB
% 15.39/4.21 % (2256395)Instructions burned: 169 (million)
% 15.39/4.21 % (2256396)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2615986461:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 15.39/4.21 % (2256395)------------------------------
% 15.39/4.21 % (2256395)------------------------------
% 15.39/4.21 % (2256398)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1530411877:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 15.39/4.21 % (2256398)Instruction limit reached!
% 15.39/4.21 % (2256398)------------------------------
% 15.39/4.21 % (2256398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256398)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256398)Termination reason: Instruction limit
% 15.39/4.21 % (2256398)Termination phase: Property scanning
% 15.39/4.21 % (2256398)Time elapsed: 0.064 s
% 15.39/4.21 % (2256398)Peak memory usage: 110 MB
% 15.39/4.21 % (2256398)Instructions burned: 126 (million)
% 15.39/4.21 % (2256401)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1621900371:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 15.39/4.21 % (2256401)Instruction limit reached!
% 15.39/4.21 % (2256401)------------------------------
% 15.39/4.21 % (2256401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256401)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256401)Termination reason: Instruction limit
% 15.39/4.21 % (2256401)Termination phase: Property scanning
% 15.39/4.21 % (2256401)Time elapsed: 0.037 s
% 15.39/4.21 % (2256401)Peak memory usage: 110 MB
% 15.39/4.21 % (2256401)Instructions burned: 134 (million)
% 15.39/4.21 % (2256402)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1300417966:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 15.39/4.21 % (2256404)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4151194977:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 15.39/4.21 % (2256402)Refutation not found, incomplete strategy
% 15.39/4.21 % (2256402)------------------------------
% 15.39/4.21 % (2256402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256402)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256402)Termination reason: Refutation not found, incomplete strategy
% 15.39/4.21 % (2256402)Time elapsed: 0.101 s
% 15.39/4.21 % (2256402)Peak memory usage: 119 MB
% 15.39/4.21 % (2256402)Instructions burned: 137 (million)
% 15.39/4.21 % (2256404)Refutation not found, incomplete strategy
% 15.39/4.21 % (2256404)------------------------------
% 15.39/4.21 % (2256404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.21 % (2256404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.21 % (2256404)CaDiCaL version: 2.1.3
% 15.39/4.21 % (2256404)Termination reason: Refutation not found, incomplete strategy
% 15.39/4.21 % (2256404)Time elapsed: 0.055 s
% 15.39/4.21 % (2256404)Peak memory usage: 119 MB
% 15.39/4.21 % (2256404)Instructions burned: 109 (million)
% 15.39/4.21 % (2256404)------------------------------
% 15.39/4.21 % (2256404)------------------------------
% 15.39/4.21 % (2256402)------------------------------
% 15.39/4.21 % (2256402)------------------------------
% 15.39/4.21 % (2256331)Instruction limit reached!
% 15.39/4.21 % (2256331)------------------------------
% 15.39/4.21 % (2256331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.56/4.46 % (2256331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.46 % (2256331)CaDiCaL version: 2.1.3
% 23.56/4.46 % (2256331)Termination reason: Instruction limit
% 23.56/4.46 % (2256331)Termination phase: Saturation
% 23.56/4.46 % (2256331)Time elapsed: 1.787 s
% 23.56/4.46 % (2256331)Peak memory usage: 323 MB
% 23.56/4.46 % (2256331)Instructions burned: 2350 (million)
% 23.56/4.46 % (2256407)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2647431179:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 23.56/4.46 % (2256408)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2058242692:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 23.56/4.46 % (2256409)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3953790628:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 23.56/4.46 % (2256408)Instruction limit reached!
% 23.56/4.46 % (2256408)------------------------------
% 23.56/4.46 % (2256408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.56/4.46 % (2256408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.46 % (2256408)CaDiCaL version: 2.1.3
% 23.56/4.46 % (2256408)Termination reason: Instruction limit
% 23.56/4.46 % (2256408)Termination phase: Preprocessing 1
% 23.56/4.46 % (2256408)Time elapsed: 0.106 s
% 23.56/4.46 % (2256408)Peak memory usage: 112 MB
% 23.56/4.46 % (2256408)Instructions burned: 150 (million)
% 23.56/4.46 % (2256396)First to succeed.
% 23.56/4.46 % (2256396)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2256107"
% 23.56/4.46 % (2256413)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3096788376:i=667:av=off:fsr=off_2967 on theBenchmark for (2967ds/667Mi)
% 23.56/4.46 % (2256396)Refutation found. Thanks to Tanya!
% 23.56/4.46 % SZS status Theorem for theBenchmark
% 23.56/4.46 % SZS output start Proof for theBenchmark
% See solution above
% 23.56/4.46 % (2256396)------------------------------
% 23.56/4.46 % (2256396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.56/4.46 % (2256396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.46 % (2256396)CaDiCaL version: 2.1.3
% 23.56/4.46 % (2256396)Termination reason: Refutation
% 23.56/4.46 % (2256396)Time elapsed: 1.218 s
% 23.56/4.46 % (2256396)Peak memory usage: 218 MB
% 23.56/4.46 % (2256396)Instructions burned: 1701 (million)
% 23.56/4.46 % (2256396)------------------------------
% 23.56/4.46 % (2256396)------------------------------
% 23.56/4.46 % (2256107)Success in time 3.755 s
% 23.56/4.46 % Vampire exiting
%------------------------------------------------------------------------------