%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO254+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:54:16 AM UTC 2026
% Result : Theorem 3.00s 0.96s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of formulae : 121 ( 18 unt; 2 def)
% Number of atoms : 355 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 380 ( 146 ~; 196 |; 28 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 181 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
<=> ( distinct_points(X1,X2)
& ~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) )
& ~ ( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0)) )
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bf_def) ).
fof(f6,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag2) ).
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag7) ).
fof(f14,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f25,axiom,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(f26,axiom,
! [X0,X1] : ~ unequally_directed_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco10) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) )
=> ( before_on_line(X2,X0,X1)
& before_on_line(X2,X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) )
=> ( before_on_line(X2,X0,X1)
& before_on_line(X2,X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& ~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) )
& ~ ( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0)) )
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) )
=> before_on_line(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f37,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
| ~ distinct_points(X1,X2)
| left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0))
| unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f38,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
| ~ distinct_points(X1,X2)
| left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0))
| unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f40,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f43,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f44,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f45]) ).
fof(f49,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f50,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f52,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X1,X0) )
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
? [X0,X1,X2] :
( ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X1,X0) )
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f78,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f82,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,reverse_line(X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f89,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f91,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f105,plain,
! [X0,X1] : ~ unequally_directed_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f26]) ).
fof(f111,plain,
( ~ before_on_line(sK2,sK1,sK0)
| ~ before_on_line(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f114,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f117,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2)
| ~ before_on_line(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f130,plain,
( before_on_line(sK2,sK1,sK0)
| before_on_line(sK2,sK0,sK1) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f132,definition,
( spl3_1
<=> before_on_line(sK2,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f134,plain,
( before_on_line(sK2,sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl3_2
<=> before_on_line(sK2,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f138,plain,
( before_on_line(sK2,sK1,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f130,f136,f132]) ).
fof(f143,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f89,f93]) ).
fof(f144,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ distinct_points(X1,X2)
| ~ before_on_line(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f117,f91]) ).
fof(f146,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f143,f93]) ).
fof(f147,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| ~ distinct_points(X1,X2)
| ~ before_on_line(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f144,f91]) ).
fof(f149,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| ~ distinct_points(X1,X2)
| ~ before_on_line(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f147,f91]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| ~ distinct_points(X1,X2)
| unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f149,f91]) ).
fof(f165,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f79,f114]) ).
fof(f167,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(resolution,[],[f165,f79]) ).
fof(f170,plain,
( ~ distinct_points(sK0,sK1)
| unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f134,f151]) ).
fof(f171,plain,
( unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f170,f114]) ).
fof(f172,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK0,sK1),X0)
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f171,f83]) ).
fof(f180,plain,
( ! [X0] :
( ~ unequally_directed_lines(line_connecting(sK0,sK1),X0)
| unequally_directed_lines(sK2,reverse_line(X0)) )
| ~ spl3_1 ),
inference(resolution,[],[f172,f146]) ).
fof(f181,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,X0)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(line_connecting(sK0,sK1),X1) )
| ~ spl3_1 ),
inference(resolution,[],[f172,f83]) ).
fof(f197,plain,
( ! [X0] :
( unequally_directed_lines(sK2,reverse_line(X0))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f180,f172]) ).
fof(f213,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f167,f78]) ).
fof(f218,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(X0,X1)
| distinct_points(sK0,X1) ),
inference(resolution,[],[f213,f79]) ).
fof(f233,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f218,f78]) ).
fof(f241,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f233,f78]) ).
fof(f349,plain,
( ! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(X1))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f181,f146]) ).
fof(f350,plain,
( ! [X0,X1] :
( unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(sK2,line_connecting(X0,X1)) )
| ~ spl3_1 ),
inference(resolution,[],[f181,f104]) ).
fof(f351,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,X1)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(sK2,reverse_line(X0)) )
| ~ spl3_1 ),
inference(resolution,[],[f181,f180]) ).
fof(f352,plain,
( ! [X0] :
( unequally_directed_lines(X0,line_connecting(sK0,sK1))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f181,f82]) ).
fof(f365,plain,
( ! [X0] : unequally_directed_lines(sK2,parallel_through_point(line_connecting(sK0,sK1),X0))
| ~ spl3_1 ),
inference(resolution,[],[f352,f105]) ).
fof(f636,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(reverse_line(X0)))
| unequally_directed_lines(sK2,sK2)
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f349,f197]) ).
fof(f644,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(parallel_through_point(line_connecting(sK0,sK1),X0)))
| unequally_directed_lines(sK2,sK2) )
| ~ spl3_1 ),
inference(resolution,[],[f349,f365]) ).
fof(f666,plain,
( ! [X0] : unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(parallel_through_point(line_connecting(sK0,sK1),X0)))
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f644,f82]) ).
fof(f673,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(reverse_line(X0)))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f636,f82]) ).
fof(f695,plain,
( ! [X0] : unequally_directed_lines(sK2,reverse_line(reverse_line(parallel_through_point(line_connecting(sK0,sK1),X0))))
| ~ spl3_1 ),
inference(resolution,[],[f666,f180]) ).
fof(f709,plain,
( ! [X0] : ~ unequally_directed_lines(sK2,reverse_line(parallel_through_point(line_connecting(sK0,sK1),X0)))
| ~ spl3_1 ),
inference(resolution,[],[f695,f146]) ).
fof(f734,plain,
( ! [X0] :
( ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(X0))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f673,f146]) ).
fof(f745,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,line_connecting(X0,X1))
| unequally_directed_lines(sK2,line_connecting(X1,X0)) )
| ~ spl3_1 ),
inference(resolution,[],[f734,f350]) ).
fof(f816,plain,
( ! [X0] : unequally_directed_lines(sK2,line_connecting(X0,X0))
| ~ spl3_1 ),
inference(factoring,[],[f745]) ).
fof(f818,plain,
( ! [X0,X1] :
( unequally_directed_lines(line_connecting(X0,X0),X1)
| unequally_directed_lines(sK2,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f816,f83]) ).
fof(f823,plain,
( ! [X0] : unequally_directed_lines(sK2,reverse_line(line_connecting(X0,X0)))
| ~ spl3_1 ),
inference(resolution,[],[f818,f104]) ).
fof(f829,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,reverse_line(X0))
| ~ unequally_directed_lines(line_connecting(X1,X1),X0) )
| ~ spl3_1 ),
inference(resolution,[],[f818,f146]) ).
fof(f835,plain,
( ! [X0,X1] :
( ~ unequally_directed_lines(sK2,line_connecting(X0,X0))
| unequally_directed_lines(line_connecting(X0,X0),X1)
| unequally_directed_lines(sK2,reverse_line(X1)) )
| ~ spl3_1 ),
inference(resolution,[],[f823,f84]) ).
fof(f845,plain,
( ! [X0,X1] :
( unequally_directed_lines(line_connecting(X0,X0),X1)
| unequally_directed_lines(sK2,reverse_line(X1)) )
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f835,f351]) ).
fof(f848,plain,
( ! [X1] : unequally_directed_lines(sK2,reverse_line(X1))
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f845,f829]) ).
fof(f855,plain,
( $false
| ~ spl3_1 ),
inference(backward_subsumption_resolution,[],[f709,f848]) ).
fof(f860,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f862,plain,
( ~ distinct_points(sK1,sK0)
| unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| ~ spl3_2 ),
inference(resolution,[],[f138,f151]) ).
fof(f863,plain,
( unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f862,f241]) ).
fof(f864,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f863,f83]) ).
fof(f867,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,X0)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(line_connecting(sK1,sK0),X1) )
| ~ spl3_2 ),
inference(resolution,[],[f864,f83]) ).
fof(f874,plain,
( ! [X0] :
( ~ unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(sK2,reverse_line(X0)) )
| ~ spl3_2 ),
inference(resolution,[],[f864,f146]) ).
fof(f890,plain,
( ! [X0] :
( unequally_directed_lines(sK2,reverse_line(X0))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f874,f864]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(X1))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f867,f146]) ).
fof(f1163,plain,
( ! [X0,X1] :
( unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(sK2,line_connecting(X0,X1)) )
| ~ spl3_2 ),
inference(resolution,[],[f867,f104]) ).
fof(f1164,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,X1)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(sK2,reverse_line(X0)) )
| ~ spl3_2 ),
inference(resolution,[],[f867,f874]) ).
fof(f1166,plain,
( ! [X0] :
( unequally_directed_lines(X0,line_connecting(sK1,sK0))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f867,f82]) ).
fof(f1188,plain,
( ! [X0] : unequally_directed_lines(sK2,parallel_through_point(line_connecting(sK1,sK0),X0))
| ~ spl3_2 ),
inference(resolution,[],[f1166,f105]) ).
fof(f1489,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(reverse_line(X0)))
| unequally_directed_lines(sK2,sK2)
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f1162,f890]) ).
fof(f1495,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(parallel_through_point(line_connecting(sK1,sK0),X0)))
| unequally_directed_lines(sK2,sK2) )
| ~ spl3_2 ),
inference(resolution,[],[f1162,f1188]) ).
fof(f1506,plain,
( ! [X0] : unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(parallel_through_point(line_connecting(sK1,sK0),X0)))
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f1495,f82]) ).
fof(f1512,plain,
( ! [X0] :
( unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(reverse_line(X0)))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f1489,f82]) ).
fof(f1561,plain,
( ! [X0] : unequally_directed_lines(sK2,reverse_line(reverse_line(parallel_through_point(line_connecting(sK1,sK0),X0))))
| ~ spl3_2 ),
inference(resolution,[],[f1506,f874]) ).
fof(f1573,plain,
( ! [X0] : ~ unequally_directed_lines(sK2,reverse_line(parallel_through_point(line_connecting(sK1,sK0),X0)))
| ~ spl3_2 ),
inference(resolution,[],[f1561,f146]) ).
fof(f1600,plain,
( ! [X0] :
( ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(X0))
| unequally_directed_lines(sK2,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f1512,f146]) ).
fof(f1606,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,line_connecting(X0,X1))
| unequally_directed_lines(sK2,line_connecting(X1,X0)) )
| ~ spl3_2 ),
inference(resolution,[],[f1600,f1163]) ).
fof(f1654,plain,
( ! [X0] : unequally_directed_lines(sK2,line_connecting(X0,X0))
| ~ spl3_2 ),
inference(factoring,[],[f1606]) ).
fof(f1656,plain,
( ! [X0,X1] :
( unequally_directed_lines(line_connecting(X0,X0),X1)
| unequally_directed_lines(sK2,X1) )
| ~ spl3_2 ),
inference(resolution,[],[f1654,f83]) ).
fof(f1661,plain,
( ! [X0] : unequally_directed_lines(sK2,reverse_line(line_connecting(X0,X0)))
| ~ spl3_2 ),
inference(resolution,[],[f1656,f104]) ).
fof(f1667,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK2,reverse_line(X0))
| ~ unequally_directed_lines(line_connecting(X1,X1),X0) )
| ~ spl3_2 ),
inference(resolution,[],[f1656,f146]) ).
fof(f1673,plain,
( ! [X0,X1] :
( ~ unequally_directed_lines(sK2,line_connecting(X0,X0))
| unequally_directed_lines(line_connecting(X0,X0),X1)
| unequally_directed_lines(sK2,reverse_line(X1)) )
| ~ spl3_2 ),
inference(resolution,[],[f1661,f84]) ).
fof(f1683,plain,
( ! [X0,X1] :
( unequally_directed_lines(line_connecting(X0,X0),X1)
| unequally_directed_lines(sK2,reverse_line(X1)) )
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f1673,f1164]) ).
fof(f1686,plain,
( ! [X1] : unequally_directed_lines(sK2,reverse_line(X1))
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f1683,f1667]) ).
fof(f1694,plain,
( $false
| ~ spl3_2 ),
inference(backward_subsumption_resolution,[],[f1573,f1686]) ).
fof(f1699,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f1694]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f139]) ).
cnf(s9,plain,
~ spl3_1,
inference(sat_conversion,[],[f860]) ).
cnf(s27,plain,
~ spl3_2,
inference(sat_conversion,[],[f1699]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s27,s9]) ).
fof(f1702,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO254+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 07:53:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 3.00/0.96 % (619287)Will run a generic schedule for satisfiability detection.
% 3.00/0.96 % (619297)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1822272376:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.00/0.96 % (619293)% WARNING: option uhcvi not known.
% 3.00/0.96 % (619294)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2143139458:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.00/0.96 % (619292)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=736978034_2999 on theBenchmark for (2999ds/0Mi)
% 3.00/0.96 % (619295)dis+10_1_sil=32000:sp=arity:random_seed=630582452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.00/0.96 % (619296)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4184116819:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.00/0.96 % (619298)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=153807750:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.00/0.96 % (619293)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3118648863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.00/0.96 % TRYING [1]
% 3.00/0.96 % TRYING [2]
% 3.00/0.96 % TRYING [3]
% 3.00/0.96 % TRYING [4]
% 3.00/0.96 % TRYING [5]
% 3.00/0.96 % TRYING [6]
% 3.00/0.96 % (619297)Instruction limit reached!
% 3.00/0.96 % (619297)------------------------------
% 3.00/0.96 % (619297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619297)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619297)Termination reason: Instruction limit
% 3.00/0.96 % (619297)Termination phase: Saturation
% 3.00/0.96 % (619297)Time elapsed: 0.040 s
% 3.00/0.96 % (619297)Peak memory usage: 12 MB
% 3.00/0.96 % (619297)Instructions burned: 134 (million)
% 3.00/0.96 % (619306)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=398343886:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.00/0.96 % TRYING [1]
% 3.00/0.96 % TRYING [2]
% 3.00/0.96 % TRYING [3]
% 3.00/0.96 % TRYING [4]
% 3.00/0.96 % TRYING [7]
% 3.00/0.96 % TRYING [5]
% 3.00/0.96 % TRYING [6]
% 3.00/0.96 % (619296)Instruction limit reached!
% 3.00/0.96 % (619296)------------------------------
% 3.00/0.96 % (619296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619296)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619296)Termination reason: Instruction limit
% 3.00/0.96 % (619296)Termination phase: Saturation
% 3.00/0.96 % (619296)Time elapsed: 0.062 s
% 3.00/0.96 % (619296)Peak memory usage: 12 MB
% 3.00/0.96 % (619296)Instructions burned: 117 (million)
% 3.00/0.96 % (619295)Instruction limit reached!
% 3.00/0.96 % (619295)------------------------------
% 3.00/0.96 % (619295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619295)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619295)Termination reason: Instruction limit
% 3.00/0.96 % (619295)Termination phase: Saturation
% 3.00/0.96 % (619295)Time elapsed: 0.063 s
% 3.00/0.96 % (619295)Peak memory usage: 12 MB
% 3.00/0.96 % (619295)Instructions burned: 103 (million)
% 3.00/0.96 % TRYING [7]
% 3.00/0.96 % (619308)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1722951180:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.00/0.96 % (619309)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3849238163:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.00/0.96 % (619298)Instruction limit reached!
% 3.00/0.96 % (619298)------------------------------
% 3.00/0.96 % (619298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619298)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619298)Termination reason: Instruction limit
% 3.00/0.96 % (619298)Termination phase: Saturation
% 3.00/0.96 % (619298)Time elapsed: 0.083 s
% 3.00/0.96 % (619298)Peak memory usage: 12 MB
% 3.00/0.96 % (619298)Instructions burned: 161 (million)
% 3.00/0.96 % TRYING [8]
% 3.00/0.96 % TRYING [8]
% 3.00/0.96 % (619312)ott-21_1_sil=16000:fs=off:random_seed=3825428157:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.00/0.96 % TRYING [9]
% 3.00/0.96 % (619308)Instruction limit reached!
% 3.00/0.96 % (619308)------------------------------
% 3.00/0.96 % (619308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619308)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619308)Termination reason: Instruction limit
% 3.00/0.96 % (619308)Termination phase: Saturation
% 3.00/0.96 % (619308)Time elapsed: 0.073 s
% 3.00/0.96 % (619308)Peak memory usage: 12 MB
% 3.00/0.96 % (619308)Instructions burned: 132 (million)
% 3.00/0.96 % (619314)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1203832794:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.00/0.96 % TRYING [9]
% 3.00/0.96 % (619312)Instruction limit reached!
% 3.00/0.96 % (619312)------------------------------
% 3.00/0.96 % (619312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619312)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619312)Termination reason: Instruction limit
% 3.00/0.96 % (619312)Termination phase: Saturation
% 3.00/0.96 % (619312)Time elapsed: 0.093 s
% 3.00/0.96 % (619312)Peak memory usage: 13 MB
% 3.00/0.96 % (619312)Instructions burned: 180 (million)
% 3.00/0.96 % TRYING [10]
% 3.00/0.96 % (619306)Instruction limit reached!
% 3.00/0.96 % (619306)------------------------------
% 3.00/0.96 % (619306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619306)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619306)Termination reason: Instruction limit
% 3.00/0.96 % (619306)Termination phase: Finite model building constraint generation
% 3.00/0.96 % (619306)Time elapsed: 0.160 s
% 3.00/0.96 % (619306)Peak memory usage: 23 MB
% 3.00/0.96 % (619306)Instructions burned: 716 (million)
% 3.00/0.96 % (619317)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2849810452:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.00/0.96 % (619316)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=525119205:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.00/0.96 % TRYING [1]
% 3.00/0.96 % TRYING [2]
% 3.00/0.96 % TRYING [3]
% 3.00/0.96 % TRYING [4]
% 3.00/0.96 % TRYING [5]
% 3.00/0.96 % TRYING [6]
% 3.00/0.96 % TRYING [10]
% 3.00/0.96 % TRYING [7]
% 3.00/0.96 % TRYING [8]
% 3.00/0.96 % (619314)Instruction limit reached!
% 3.00/0.96 % (619314)------------------------------
% 3.00/0.96 % (619314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619314)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619314)Termination reason: Instruction limit
% 3.00/0.96 % (619314)Termination phase: Saturation
% 3.00/0.96 % (619314)Time elapsed: 0.268 s
% 3.00/0.96 % (619314)Peak memory usage: 14 MB
% 3.00/0.96 % (619314)Instructions burned: 478 (million)
% 3.00/0.96 % (619320)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1013446584:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.00/0.96 % (619309)Instruction limit reached!
% 3.00/0.96 % (619309)------------------------------
% 3.00/0.96 % (619309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619309)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619309)Termination reason: Instruction limit
% 3.00/0.96 % (619309)Termination phase: Saturation
% 3.00/0.96 % (619309)Time elapsed: 0.380 s
% 3.00/0.96 % (619309)Peak memory usage: 15 MB
% 3.00/0.96 % (619309)Instructions burned: 685 (million)
% 3.00/0.96 % TRYING [14]
% 3.00/0.96 % (619322)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3589330430:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 3.00/0.96 % (619322) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-619287-619322"...
% 3.00/0.96 % (619322)...printing done.
% 3.00/0.96 % (619322)Refutation found. Thanks to Tanya!
% 3.00/0.96 % SZS status Theorem for theBenchmark
% 3.00/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 3.00/0.96 % (619322)------------------------------
% 3.00/0.96 % (619322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.96 % (619322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.96 % (619322)CaDiCaL version: 2.1.3
% 3.00/0.96 % (619322)Termination reason: Refutation
% 3.00/0.96 % (619322)Time elapsed: 0.037 s
% 3.00/0.96 % (619322)Peak memory usage: 13 MB
% 3.00/0.96 % (619322)Instructions burned: 58 (million)
% 3.00/0.96 % (619287)Success in time 0.556 s
% 3.00/0.96 % Vampire exiting
%------------------------------------------------------------------------------