%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR059+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 : 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 09:44:47 AM UTC 2026
% Result : Theorem 0.34s 0.48s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 11 unt; 2 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 16 |; 2 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_104) ).
fof(f407,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_407) ).
fof(f900,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_900) ).
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,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query109) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1274,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(ennf_transformation,[],[f104]) ).
fof(f1800,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f900]) ).
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,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2125,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
inference(cnf_transformation,[],[f1274]) ).
fof(f2427,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[],[f407]) ).
fof(f2852,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f1800]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[],[f2022]) ).
fof(f3341,definition,
( spl0_61
<=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f3345,definition,
( spl0_62
<=> mtvisible(c_tptpgeo_member5_mt) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f3347,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| spl0_62 ),
inference(avatar_component_clause,[],[f3345]) ).
fof(f3348,plain,
( spl0_61
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2125,f3345,f3341]) ).
fof(f4118,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolution,[],[f2852,f3063]) ).
fof(f4120,plain,
~ spl0_61,
inference(avatar_split_clause,[],[f4118,f3341]) ).
fof(f4147,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptpgeo_spindlecollectormt,X0) ),
inference(resolution,[],[f3053,f3062]) ).
fof(f4179,plain,
( ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt)
| spl0_62 ),
inference(resolution,[],[f4147,f3347]) ).
fof(f4193,plain,
( $false
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f4179,f2427]) ).
fof(f4194,plain,
spl0_62,
inference(avatar_contradiction_clause,[],[f4193]) ).
cnf(s44,plain,
( spl0_61
| ~ spl0_62 ),
inference(sat_conversion,[],[f3348]) ).
cnf(s53,plain,
~ spl0_61,
inference(sat_conversion,[],[f4120]) ).
cnf(s55,plain,
spl0_62,
inference(sat_conversion,[],[f4194]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s44,s55,s53]) ).
fof(f4197,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.30 % Computer : n018.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon Sep 28 22:23:41 UTC 2026
% 0.30/0.30 % CPUTime :
% 0.30/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.30/0.36 Running first-order model finding
% 0.30/0.36 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
% 0.34/0.48 % (3861878)Will run a generic schedule for satisfiability detection.
% 0.34/0.48 % (3861887)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2906600922:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.48 % (3861884)% WARNING: option uhcvi not known.
% 0.34/0.48 % (3861885)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1502588567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.48 % (3861883)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=166410075_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.48 % (3861884)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=353182394:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.48 % (3861886)dis+10_1_sil=32000:sp=arity:random_seed=1496807626:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.48 % (3861889)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1989296915:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.48 % (3861888)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4285175395:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.48 % (3861887) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3861878-3861887"...
% 0.34/0.48 % (3861887)...printing done.
% 0.34/0.48 % (3861887)Refutation found. Thanks to Tanya!
% 0.34/0.48 % SZS status Theorem for theBenchmark
% 0.34/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.48 % (3861887)------------------------------
% 0.34/0.48 % (3861887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.48 % (3861887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.48 % (3861887)CaDiCaL version: 2.1.3
% 0.34/0.48 % (3861887)Termination reason: Refutation
% 0.34/0.48 % (3861887)Time elapsed: 0.036 s
% 0.34/0.48 % (3861887)Peak memory usage: 15 MB
% 0.34/0.48 % (3861887)Instructions burned: 66 (million)
% 0.34/0.48 % (3861878)Success in time 0.109 s
% 0.34/0.48 % Vampire exiting
%------------------------------------------------------------------------------