%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO191+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:53:54 AM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 109 ( 23 unt; 8 def)
% Number of atoms : 320 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 316 ( 105 ~; 175 |; 19 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 120 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart2) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
fof(f9,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/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) )
=> ( apart_point_and_line(intersection_point(X2,X3),X0)
| apart_point_and_line(intersection_point(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) )
=> ( apart_point_and_line(intersection_point(X2,X3),X0)
| apart_point_and_line(intersection_point(X2,X3),X1) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f25,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,[],[f9]) ).
fof(f26,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,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ~ apart_point_and_line(intersection_point(X2,X3),X1)
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ~ apart_point_and_line(intersection_point(X2,X3),X1)
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& convergent_lines(sK0,sK1)
& convergent_lines(sK2,sK3)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f33]) ).
fof(f35,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f48,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f50,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f55,definition,
( spl4_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f57,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl4_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f61,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f49,f59,f55]) ).
fof(f64,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f48,f51]) ).
fof(f84,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f43,f35]) ).
fof(f87,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f44,f35]) ).
fof(f92,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,sK0)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f45,f64]) ).
fof(f241,definition,
( spl4_6
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f242,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| spl4_6 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl4_7
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f246,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| spl4_7 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f253,definition,
( spl4_9
<=> ! [X0,X1] :
( apart_point_and_line(X0,sK0)
| apart_point_and_line(X1,sK2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f254,plain,
( ! [X0,X1] :
( apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,sK1)
| distinct_points(X1,X0)
| apart_point_and_line(X0,sK0) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f265,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f243,f87]) ).
fof(f270,plain,
( $false
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f265,f51]) ).
fof(f271,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f305,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl4_7 ),
inference(resolution,[],[f247,f84]) ).
fof(f310,plain,
( $false
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f305,f51]) ).
fof(f311,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f337,definition,
( spl4_14
<=> ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f338,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f374,definition,
( spl4_15
<=> ! [X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0)
| distinct_lines(sK3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f375,plain,
( ! [X0,X1] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,sK0)
| distinct_lines(sK3,X1) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f384,plain,
( ! [X0] :
( distinct_points(intersection_point(sK0,sK1),X0)
| apart_point_and_line(X0,sK2) )
| ~ spl4_2 ),
inference(resolution,[],[f61,f46]) ).
fof(f402,plain,
( ! [X0,X1] :
( apart_point_and_line(X0,sK2)
| distinct_points(X0,X1)
| distinct_points(intersection_point(sK0,sK1),X1) )
| ~ spl4_2 ),
inference(resolution,[],[f384,f38]) ).
fof(f459,plain,
( ! [X0,X1] :
( apart_point_and_line(X1,sK2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) )
| ~ spl4_2 ),
inference(resolution,[],[f402,f92]) ).
fof(f463,plain,
( ! [X0,X1] :
( apart_point_and_line(X1,sK2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) )
| ~ spl4_2
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f459,f246]) ).
fof(f466,plain,
( ! [X0,X1] :
( apart_point_and_line(X1,sK2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) )
| ~ spl4_2
| spl4_6
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f463,f242]) ).
fof(f467,plain,
( spl4_9
| ~ spl4_2
| spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f466,f245,f241,f59,f253]) ).
fof(f662,plain,
( ! [X0,X1] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,X1)
| distinct_lines(sK3,X1) )
| ~ spl4_14 ),
inference(resolution,[],[f338,f47]) ).
fof(f664,plain,
( spl4_15
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f662,f337,f374]) ).
fof(f1026,plain,
( ! [X0] :
( apart_point_and_line(X0,sK2)
| distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(intersection_point(sK2,sK3),sK0) )
| ~ spl4_9 ),
inference(resolution,[],[f254,f52]) ).
fof(f1040,plain,
( ! [X0] :
( distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK2) )
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f1026,f53]) ).
fof(f1068,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ spl4_9 ),
inference(resolution,[],[f1040,f35]) ).
fof(f1078,definition,
( spl4_22
<=> apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f1080,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1085,plain,
( spl4_22
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f1068,f253,f1078]) ).
fof(f1086,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(intersection_point(sK2,sK3),sK0)
| distinct_lines(sK3,X0) )
| ~ spl4_15 ),
inference(resolution,[],[f375,f52]) ).
fof(f1116,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK2,sK3),X0)
| distinct_lines(sK3,X0) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1086,f53]) ).
fof(f1120,plain,
( ~ convergent_lines(sK2,sK3)
| ~ spl4_22 ),
inference(resolution,[],[f1080,f87]) ).
fof(f1125,plain,
( $false
| ~ spl4_22 ),
inference(forward_subsumption_resolution,[],[f1120,f50]) ).
fof(f1126,plain,
~ spl4_22,
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1138,plain,
( ! [X0] :
( distinct_points(intersection_point(sK0,sK1),X0)
| apart_point_and_line(X0,sK3) )
| ~ spl4_1 ),
inference(resolution,[],[f57,f46]) ).
fof(f1160,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) )
| ~ spl4_1 ),
inference(resolution,[],[f1138,f92]) ).
fof(f1163,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) )
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f1160,f246]) ).
fof(f1164,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) )
| ~ spl4_1
| spl4_6
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f1163,f242]) ).
fof(f1165,plain,
( spl4_14
| ~ spl4_1
| spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f1164,f245,f241,f55,f337]) ).
fof(f1301,plain,
( distinct_lines(sK3,sK3)
| ~ convergent_lines(sK2,sK3)
| ~ spl4_15 ),
inference(resolution,[],[f1116,f84]) ).
fof(f1309,plain,
( ~ convergent_lines(sK2,sK3)
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1301,f36]) ).
fof(f1310,plain,
( $false
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1309,f50]) ).
fof(f1311,plain,
~ spl4_15,
inference(avatar_contradiction_clause,[],[f1310]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f62]) ).
cnf(s9,plain,
~ spl4_6,
inference(sat_conversion,[],[f271]) ).
cnf(s12,plain,
~ spl4_7,
inference(sat_conversion,[],[f311]) ).
cnf(s18,plain,
( ~ spl4_2
| spl4_6
| spl4_7
| spl4_9 ),
inference(sat_conversion,[],[f467]) ).
cnf(s29,plain,
( ~ spl4_14
| spl4_15 ),
inference(sat_conversion,[],[f664]) ).
cnf(s46,plain,
( ~ spl4_9
| spl4_22 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s51,plain,
~ spl4_22,
inference(sat_conversion,[],[f1126]) ).
cnf(s57,plain,
( ~ spl4_1
| spl4_6
| spl4_7
| spl4_14 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s68,plain,
~ spl4_15,
inference(sat_conversion,[],[f1311]) ).
cnf(s69,plain,
~ spl4_9,
inference(rat,[],[s46,s51]) ).
cnf(s71,plain,
~ spl4_14,
inference(rat,[],[s29,s68]) ).
cnf(s72,plain,
( ~ spl4_2
| spl4_6
| spl4_7 ),
inference(rat,[],[s18,s69]) ).
cnf(s76,plain,
~ spl4_1,
inference(rat,[],[s57,s71,s12,s9]) ).
cnf(s78,plain,
~ spl4_2,
inference(rat,[],[s72,s12,s9]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s1,s78,s76]) ).
fof(f1312,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO191+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:30:21 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.18/0.50 % (3173406)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (3173416)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1723905513:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (3173412)% WARNING: option uhcvi not known.
% 0.18/0.50 % (3173411)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4233751722_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (3173412)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1040719675:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (3173414)dis+10_1_sil=32000:sp=arity:random_seed=2769976944:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (3173413)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=346275651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (3173415)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4083824990:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (3173417)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=423665363:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % TRYING [4]
% 0.18/0.50 % TRYING [5]
% 0.18/0.50 % TRYING [6]
% 0.18/0.50 % TRYING [7]
% 0.18/0.50 % (3173414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3173406-3173414"...
% 0.18/0.50 % TRYING [8]
% 0.18/0.50 % (3173414)...printing done.
% 0.18/0.50 % (3173414)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (3173414)------------------------------
% 0.18/0.50 % (3173414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (3173414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (3173414)CaDiCaL version: 2.1.3
% 0.18/0.50 % (3173414)Termination reason: Refutation
% 0.18/0.50 % (3173414)Time elapsed: 0.029 s
% 0.18/0.50 % (3173414)Peak memory usage: 12 MB
% 0.18/0.50 % (3173414)Instructions burned: 46 (million)
% 0.18/0.50 % (3173406)Success in time 0.064 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------