%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:44:34 AM UTC 2026
% Result : Theorem 0.30s 0.37s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 2 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 13 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f28,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).
fof(f30,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query42) ).
fof(f31,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x27_y64) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f46,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f1]) ).
fof(f62,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0] :
( ~ borderson(X0,c_georegion_l4_x27_y64)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(ennf_transformation,[],[f31]) ).
fof(f64,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f79,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f63]) ).
fof(f80,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
inference(cnf_transformation,[],[f63]) ).
fof(f81,plain,
( ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| mtvisible(c_tptpgeo_member7_mt) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f93,plain,
! [X0,X1] :
( borderson(X0,X1)
| ~ borderson(X1,X0) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f95,plain,
! [X0] : borderson(X0,c_georegion_l4_x27_y64),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f96,plain,
~ mtvisible(c_tptpgeo_member7_mt),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f98,definition,
( spl0_1
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f100,plain,
( mtvisible(c_tptpgeo_member7_mt)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl0_2
<=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f104,plain,
( ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| spl0_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f81,f102,f98]) ).
fof(f106,plain,
( ~ borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
| spl0_2 ),
inference(resolution,[],[f93,f104]) ).
fof(f107,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f106,f95]) ).
fof(f109,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f110,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f100,f96]) ).
fof(f111,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f110]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f105]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f109]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f111]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f112,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 % Computer : n006.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Mon Sep 28 22:15:10 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.32 Running first-order model finding
% 0.30/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.37 % (270290)Will run a generic schedule for satisfiability detection.
% 0.30/0.37 % (270301)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1515294072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.30/0.37 % (270301) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-270290-270301"...
% 0.30/0.37 % (270301)...printing done.
% 0.30/0.37 % (270301)Refutation found. Thanks to Tanya!
% 0.30/0.37 % SZS status Theorem for theBenchmark
% 0.30/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.37 % (270301)------------------------------
% 0.30/0.37 % (270301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.37 % (270301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.37 % (270301)CaDiCaL version: 2.1.3
% 0.30/0.37 % (270301)Termination reason: Refutation
% 0.30/0.37 % (270301)Time elapsed: 0.002 s
% 0.30/0.37 % (270301)Peak memory usage: 12 MB
% 0.30/0.37 % (270301)Instructions burned: 1 (million)
% 0.30/0.37 % (270290)Success in time 0.039 s
% 0.30/0.37 % Vampire exiting
%------------------------------------------------------------------------------