%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR057+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:44:45 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 18 unt; 2 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 32 ~; 26 |; 2 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 ( 0 sgn 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1) ).
fof(f128,axiom,
! [X0,X1] :
( geographicalsubregions(X0,X1)
=> inregion(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_128) ).
fof(f326,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_326) ).
fof(f462,axiom,
! [X0] :
( geolevel_4(X0)
=> geographicalregion(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_462) ).
fof(f464,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_4(c_georegion_l4_x75_y75) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_464) ).
fof(f1042,axiom,
! [X0] :
( geographicalregion(X0)
=> geographicalsubregions(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1042) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X0,c_georegion_l4_x75_y75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query107) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X0,c_georegion_l4_x75_y75) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1288,plain,
! [X0,X1] :
( inregion(X1,X0)
| ~ geographicalsubregions(X0,X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f1443,plain,
! [X0] :
( geographicalregion(X0)
| ~ geolevel_4(X0) ),
inference(ennf_transformation,[],[f462]) ).
fof(f1445,plain,
( geolevel_4(c_georegion_l4_x75_y75)
| ~ mtvisible(c_worldgeographymt) ),
inference(ennf_transformation,[],[f464]) ).
fof(f1929,plain,
! [X0] :
( geographicalsubregions(X0,X0)
| ~ geographicalregion(X0) ),
inference(ennf_transformation,[],[f1042]) ).
fof(f2012,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f2012]) ).
fof(f2022,plain,
! [X0] :
( ~ inregion(X0,c_georegion_l4_x75_y75)
& mtvisible(c_tptpgeo_member8_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2023,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[],[f1]) ).
fof(f2149,plain,
! [X0,X1] :
( ~ geographicalsubregions(X0,X1)
| inregion(X1,X0) ),
inference(cnf_transformation,[],[f1288]) ).
fof(f2346,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[],[f326]) ).
fof(f2482,plain,
! [X0] :
( ~ geolevel_4(X0)
| geographicalregion(X0) ),
inference(cnf_transformation,[],[f1443]) ).
fof(f2484,plain,
( ~ mtvisible(c_worldgeographymt)
| geolevel_4(c_georegion_l4_x75_y75) ),
inference(cnf_transformation,[],[f1445]) ).
fof(f2982,plain,
! [X0] :
( ~ geographicalregion(X0)
| geographicalsubregions(X0,X0) ),
inference(cnf_transformation,[],[f1929]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptpgeo_member8_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
! [X0] : ~ inregion(X0,c_georegion_l4_x75_y75),
inference(cnf_transformation,[],[f2022]) ).
fof(f3064,plain,
~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(consistent_polarity_flipping,[],[f2023]) ).
fof(f3127,plain,
! [X0,X1] :
( ~ inregion(X1,X0)
| geographicalsubregions(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2149]) ).
fof(f3236,plain,
~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(consistent_polarity_flipping,[],[f2346]) ).
fof(f3746,plain,
! [X0] :
( ~ geographicalregion(X0)
| ~ geographicalsubregions(X0,X0) ),
inference(consistent_polarity_flipping,[],[f2982]) ).
fof(f3791,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| genlmt(X0,X1)
| mtvisible(X1) ),
inference(consistent_polarity_flipping,[],[f3053]) ).
fof(f3799,plain,
! [X0] : inregion(X0,c_georegion_l4_x75_y75),
inference(consistent_polarity_flipping,[],[f3063]) ).
fof(f3836,definition,
( spl0_9
<=> mtvisible(c_worldgeographymt) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f3846,definition,
( spl0_11
<=> geolevel_4(c_georegion_l4_x75_y75) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f3848,plain,
( geolevel_4(c_georegion_l4_x75_y75)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f3846]) ).
fof(f3849,plain,
( spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2484,f3836,f3846]) ).
fof(f4634,plain,
! [X0] : geographicalsubregions(c_georegion_l4_x75_y75,X0),
inference(resolution,[],[f3127,f3799]) ).
fof(f4671,plain,
! [X0] :
( genlmt(c_tptpgeo_member8_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f3791,f3062]) ).
fof(f4678,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolution,[],[f4671,f3064]) ).
fof(f4680,plain,
! [X0] :
( genlmt(c_tptpgeo_spindleheadmt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f4678,f3791]) ).
fof(f4681,plain,
mtvisible(c_worldgeographymt),
inference(resolution,[],[f4680,f3236]) ).
fof(f4685,plain,
spl0_9,
inference(avatar_split_clause,[],[f4681,f3836]) ).
fof(f4689,plain,
( geographicalregion(c_georegion_l4_x75_y75)
| ~ spl0_11 ),
inference(resolution,[],[f3848,f2482]) ).
fof(f4693,plain,
( ~ geographicalsubregions(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75)
| ~ spl0_11 ),
inference(resolution,[],[f4689,f3746]) ).
fof(f4698,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f4693,f4634]) ).
fof(f4699,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f4698]) ).
cnf(s7,plain,
( ~ spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f3849]) ).
cnf(s55,plain,
spl0_9,
inference(sat_conversion,[],[f4685]) ).
cnf(s57,plain,
~ spl0_11,
inference(sat_conversion,[],[f4699]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s7,s57,s55]) ).
fof(f4700,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR057+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:20:25 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.29 % (276211)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (276217)% WARNING: option uhcvi not known.
% 0.19/0.29 % (276217)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=130330036:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (276216)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1989773476_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (276218)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1310299120:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (276219)dis+10_1_sil=32000:sp=arity:random_seed=2751498564:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (276220)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3724553387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (276221)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3128575876:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (276222)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3974248193:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (276217) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-276211-276217"...
% 0.19/0.29 % (276217)...printing done.
% 0.19/0.29 % (276217)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (276217)------------------------------
% 0.19/0.29 % (276217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (276217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (276217)CaDiCaL version: 2.1.3
% 0.19/0.29 % (276217)Termination reason: Refutation
% 0.19/0.29 % (276217)Time elapsed: 0.018 s
% 0.19/0.29 % (276217)Peak memory usage: 15 MB
% 0.19/0.29 % (276217)Instructions burned: 55 (million)
% 0.19/0.29 % (276211)Success in time 0.068 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------