%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO205+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:54:00 AM UTC 2026
% Result : Theorem 0.15s 0.53s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 115 ( 20 unt; 7 def)
% Number of atoms : 301 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 321 ( 135 ~; 157 |; 9 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 131 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& equal_lines(X1,X2) )
=> ( convergent_lines(X0,X2)
& equal_points(intersection_point(X0,X1),intersection_point(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& equal_lines(X1,X2) )
=> ( convergent_lines(X0,X2)
& equal_points(intersection_point(X0,X1),intersection_point(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( equal_lines(X0,X1)
=> ~ distinct_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f39,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f44,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f50]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f55,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f57,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f78,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0,X1,X2] :
( ( ~ convergent_lines(X0,X2)
| ~ equal_points(intersection_point(X0,X1),intersection_point(X0,X2)) )
& convergent_lines(X0,X1)
& equal_lines(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ( ~ convergent_lines(X0,X2)
| ~ equal_points(intersection_point(X0,X1),intersection_point(X0,X2)) )
& convergent_lines(X0,X1)
& equal_lines(X1,X2) ),
inference(flattening,[],[f80]) ).
fof(f83,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f90,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f91,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f96,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f118,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f119,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f121,plain,
equal_lines(sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f126,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| ~ apart_point_and_line(X1,X3)
| ~ apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X3)
| ~ apart_point_and_line(X0,X2) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f135,definition,
( spl3_1
<=> convergent_lines(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f136,plain,
( convergent_lines(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl3_2
<=> equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f141,plain,
( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f120,f139,f135]) ).
fof(f144,plain,
~ distinct_lines(sK1,sK2),
inference(resolution,[],[f119,f121]) ).
fof(f145,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f87,f122]) ).
fof(f148,plain,
! [X0,X1] :
( convergent_lines(sK0,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK1,X1) ),
inference(resolution,[],[f145,f87]) ).
fof(f163,plain,
! [X0] :
( distinct_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f95,f122]) ).
fof(f165,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X0)
| convergent_lines(X1,X2)
| convergent_lines(sK1,X2)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f95,f148]) ).
fof(f179,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f163,f144]) ).
fof(f185,plain,
spl3_1,
inference(avatar_split_clause,[],[f179,f135]) ).
fof(f189,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| spl3_2 ),
inference(resolution,[],[f141,f118]) ).
fof(f201,plain,
! [X2,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
| distinct_lines(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f129,f125]) ).
fof(f202,plain,
! [X2,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
| distinct_lines(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f129,f126]) ).
fof(f243,plain,
( ! [X0,X1] :
( ~ apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ apart_point_and_line(intersection_point(sK0,sK2),X1)
| ~ distinct_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(sK0,sK1),X1)
| ~ apart_point_and_line(intersection_point(sK0,sK1),X0) )
| spl3_2 ),
inference(resolution,[],[f189,f127]) ).
fof(f403,definition,
( spl3_5
<=> convergent_lines(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f404,plain,
( ~ convergent_lines(sK2,sK1)
| spl3_5 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( convergent_lines(sK2,sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f822,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ distinct_lines(sK2,X0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ convergent_lines(sK0,sK2) )
| spl3_2 ),
inference(resolution,[],[f243,f126]) ).
fof(f837,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ distinct_lines(sK2,X0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK2) )
| ~ spl3_1
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f822,f136]) ).
fof(f856,definition,
( spl3_41
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl3_41])],[avatar_definition]) ).
fof(f858,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| spl3_41 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f860,definition,
( spl3_42
<=> ! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ distinct_lines(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_42])],[avatar_definition]) ).
fof(f861,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK2),X0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ distinct_lines(sK2,X0) )
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f862,plain,
( ~ spl3_41
| spl3_42
| ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f837,f139,f135,f860,f856]) ).
fof(f864,definition,
( spl3_43
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl3_43])],[avatar_definition]) ).
fof(f865,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_43 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f866,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| spl3_43 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f871,plain,
( distinct_lines(sK2,sK1)
| ~ convergent_lines(sK0,sK1)
| spl3_41 ),
inference(resolution,[],[f858,f202]) ).
fof(f874,plain,
( distinct_lines(sK2,sK1)
| spl3_41 ),
inference(forward_subsumption_resolution,[],[f871,f122]) ).
fof(f896,plain,
( convergent_lines(sK2,sK1)
| spl3_41 ),
inference(resolution,[],[f874,f96]) ).
fof(f897,plain,
( spl3_5
| spl3_41 ),
inference(avatar_split_clause,[],[f896,f856,f403]) ).
fof(f909,plain,
( ! [X0] :
( distinct_lines(sK1,X0)
| convergent_lines(sK2,X0) )
| ~ spl3_5 ),
inference(resolution,[],[f405,f95]) ).
fof(f1221,plain,
( distinct_lines(sK0,sK0)
| ~ convergent_lines(sK0,sK1)
| spl3_43 ),
inference(resolution,[],[f866,f201]) ).
fof(f1222,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_43 ),
inference(forward_subsumption_resolution,[],[f1221,f83]) ).
fof(f1226,plain,
( $false
| spl3_43 ),
inference(forward_subsumption_resolution,[],[f1222,f122]) ).
fof(f1227,plain,
spl3_43,
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1838,plain,
( convergent_lines(sK2,sK2)
| ~ spl3_5 ),
inference(resolution,[],[f909,f144]) ).
fof(f1843,plain,
( $false
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f1838,f84]) ).
fof(f1844,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f2324,definition,
( spl3_78
<=> ! [X1] :
( convergent_lines(sK2,X1)
| convergent_lines(sK1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_78])],[avatar_definition]) ).
fof(f2325,plain,
( ! [X1] :
( convergent_lines(sK2,X1)
| convergent_lines(sK1,X1) )
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f2913,plain,
( convergent_lines(sK1,sK1)
| spl3_5
| ~ spl3_78 ),
inference(resolution,[],[f2325,f404]) ).
fof(f2940,plain,
( $false
| spl3_5
| ~ spl3_78 ),
inference(forward_subsumption_resolution,[],[f2913,f84]) ).
fof(f2941,plain,
( spl3_5
| ~ spl3_78 ),
inference(avatar_contradiction_clause,[],[f2940]) ).
fof(f3970,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ distinct_lines(sK2,sK0)
| ~ convergent_lines(sK0,sK2)
| ~ spl3_42 ),
inference(resolution,[],[f861,f125]) ).
fof(f3999,plain,
( ~ distinct_lines(sK2,sK0)
| ~ convergent_lines(sK0,sK2)
| ~ spl3_42
| ~ spl3_43 ),
inference(forward_subsumption_resolution,[],[f3970,f865]) ).
fof(f4011,plain,
( ~ distinct_lines(sK2,sK0)
| ~ spl3_1
| ~ spl3_42
| ~ spl3_43 ),
inference(forward_subsumption_resolution,[],[f3999,f136]) ).
fof(f4060,plain,
( ! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0)
| convergent_lines(sK0,sK0) )
| ~ spl3_1
| ~ spl3_42
| ~ spl3_43 ),
inference(resolution,[],[f4011,f165]) ).
fof(f4084,plain,
( ! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) )
| ~ spl3_1
| ~ spl3_42
| ~ spl3_43 ),
inference(forward_subsumption_resolution,[],[f4060,f84]) ).
fof(f4093,plain,
( spl3_78
| ~ spl3_1
| ~ spl3_42
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f4084,f864,f860,f135,f2324]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f142]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f185]) ).
cnf(s60,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_41
| spl3_42 ),
inference(sat_conversion,[],[f862]) ).
cnf(s62,plain,
( spl3_5
| spl3_41 ),
inference(sat_conversion,[],[f897]) ).
cnf(s74,plain,
spl3_43,
inference(sat_conversion,[],[f1227]) ).
cnf(s114,plain,
~ spl3_5,
inference(sat_conversion,[],[f1844]) ).
cnf(s215,plain,
( spl3_5
| ~ spl3_78 ),
inference(sat_conversion,[],[f2941]) ).
cnf(s290,plain,
( ~ spl3_1
| ~ spl3_42
| ~ spl3_43
| spl3_78 ),
inference(sat_conversion,[],[f4093]) ).
cnf(s291,plain,
~ spl3_78,
inference(rat,[],[s215,s114]) ).
cnf(s297,plain,
spl3_41,
inference(rat,[],[s62,s114]) ).
cnf(s299,plain,
( ~ spl3_1
| spl3_2
| spl3_42 ),
inference(rat,[],[s60,s297]) ).
cnf(s306,plain,
~ spl3_42,
inference(rat,[],[s290,s291,s74,s3]) ).
cnf(s329,plain,
spl3_2,
inference(rat,[],[s299,s306,s3]) ).
cnf(s331,plain,
$false,
inference(rat,[],[s1,s329,s3]) ).
fof(f4094,plain,
$false,
inference(avatar_sat_refutation,[],[s331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO205+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 07:36:34 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.15/0.53 % (2766476)Will run a generic schedule for satisfiability detection.
% 0.15/0.53 % (2766482)% WARNING: option uhcvi not known.
% 0.15/0.53 % (2766482)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=672367407:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.53 % (2766481)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2796778169_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.53 % (2766483)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=180426270:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.53 % (2766484)dis+10_1_sil=32000:sp=arity:random_seed=1946265520:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.53 % (2766485)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1274264461:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.53 % (2766487)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3462555249:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.53 % (2766486)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2289190971:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.53 % TRYING [1]
% 0.15/0.53 % TRYING [2]
% 0.15/0.53 % TRYING [3]
% 0.15/0.53 % TRYING [4]
% 0.15/0.53 % TRYING [5]
% 0.15/0.53 % TRYING [6]
% 0.15/0.53 % TRYING [7]
% 0.15/0.53 % TRYING [8]
% 0.15/0.53 % (2766482) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2766476-2766482"...
% 0.15/0.53 % (2766482)...printing done.
% 0.15/0.53 % (2766482)Refutation found. Thanks to Tanya!
% 0.15/0.53 % SZS status Theorem for theBenchmark
% 0.15/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53 % (2766482)------------------------------
% 0.15/0.53 % (2766482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.53 % (2766482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.53 % (2766482)CaDiCaL version: 2.1.3
% 0.15/0.53 % (2766482)Termination reason: Refutation
% 0.15/0.53 % (2766482)Time elapsed: 0.056 s
% 0.15/0.53 % (2766482)Peak memory usage: 13 MB
% 0.15/0.53 % (2766482)Instructions burned: 176 (million)
% 0.15/0.53 % (2766476)Success in time 0.095 s
% 0.15/0.53 % Vampire exiting
%------------------------------------------------------------------------------