%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR059+1 : 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 : n007.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 09:44:46 AM UTC 2026
% Result : Theorem 0.23s 0.35s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 13 unt; 2 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 17 |; 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 : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f2,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
fof(f29,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(f31,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f40,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query59) ).
fof(f41,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f56,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(ennf_transformation,[],[f2]) ).
fof(f72,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f73,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f74,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f83,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(ennf_transformation,[],[f41]) ).
fof(f84,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
inference(cnf_transformation,[],[f56]) ).
fof(f98,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f100,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f109,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[],[f83]) ).
fof(f110,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[],[f83]) ).
fof(f111,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| ~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f122,plain,
! [X0,X1] :
( ~ borderson(X1,X0)
| borderson(X0,X1) ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f130,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f132,definition,
( spl0_1
<=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f136,definition,
( spl0_2
<=> mtvisible(c_tptpgeo_member5_mt) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f138,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| spl0_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f111,f136,f132]) ).
fof(f146,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolution,[],[f122,f130]) ).
fof(f150,plain,
spl0_1,
inference(avatar_split_clause,[],[f146,f132]) ).
fof(f152,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member5_mt) ),
inference(resolution,[],[f100,f84]) ).
fof(f154,plain,
mtvisible(c_tptpgeo_member5_mt),
inference(forward_subsumption_resolution,[],[f152,f109]) ).
fof(f155,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f154,f138]) ).
fof(f156,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f155]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f139]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f150]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f156]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f157,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.27 % Computer : n007.cluster.edu
% 0.23/0.27 % Model : x86_64 x86_64
% 0.23/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.27 % Memory : 8046.5625MB
% 0.23/0.27 % OS : Linux 6.8.0-71-generic
% 0.23/0.27 % CPULimit : 300
% 0.23/0.27 % WCLimit : 300
% 0.23/0.27 % DateTime : Mon Sep 28 22:19:10 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.31 Running first-order model finding
% 0.23/0.31 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
% 0.23/0.35 % (2920826)Will run a generic schedule for satisfiability detection.
% 0.23/0.35 % (2920832)% WARNING: option uhcvi not known.
% 0.23/0.35 % (2920832)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=831630176:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.35 % (2920832) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2920826-2920832"...
% 0.23/0.35 % (2920832)...printing done.
% 0.23/0.35 % (2920832)Refutation found. Thanks to Tanya!
% 0.23/0.35 % SZS status Theorem for theBenchmark
% 0.23/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.35 % (2920832)------------------------------
% 0.23/0.35 % (2920832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (2920832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (2920832)CaDiCaL version: 2.1.3
% 0.23/0.35 % (2920832)Termination reason: Refutation
% 0.23/0.35 % (2920832)Time elapsed: 0.002 s
% 0.23/0.35 % (2920832)Peak memory usage: 12 MB
% 0.23/0.35 % (2920832)Instructions burned: 1 (million)
% 0.23/0.35 % (2920826)Success in time 0.03 s
% 0.23/0.35 % Vampire exiting
%------------------------------------------------------------------------------