%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO196+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 : n015.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 09:53:56 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 15 unt; 2 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 53 ~; 45 |; 21 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 76 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
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(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
fof(f36,conjecture,
! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& incident_point_and_line(intersection_point(X0,X1),X3) )
=> ( incident_point_and_line(intersection_point(X2,X3),X0)
& incident_point_and_line(intersection_point(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& incident_point_and_line(intersection_point(X0,X1),X3) )
=> ( incident_point_and_line(intersection_point(X2,X3),X0)
& incident_point_and_line(intersection_point(X2,X3),X1) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f41,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f52,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(f53,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X0)
| ~ incident_point_and_line(intersection_point(X2,X3),X1) )
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& incident_point_and_line(intersection_point(X0,X1),X3) ),
inference(ennf_transformation,[],[f37]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X0)
| ~ incident_point_and_line(intersection_point(X2,X3),X1) )
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& incident_point_and_line(intersection_point(X0,X1),X3) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f79,plain,
( ( ~ incident_point_and_line(intersection_point(sK2,sK3),sK0)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK1) )
& convergent_lines(sK0,sK1)
& convergent_lines(sK2,sK3)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& incident_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)],[f77]) ).
fof(f81,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f92,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f94,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f95,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f96,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f117,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f122,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK0)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f133,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f135,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f136,plain,
! [X0,X1] : convergent_lines(parallel_through_point(X1,X0),X1),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f137,plain,
! [X0,X1] : apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f156,plain,
! [X0,X1] :
( ~ incident_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f158,plain,
( incident_point_and_line(intersection_point(sK2,sK3),sK0)
| incident_point_and_line(intersection_point(sK2,sK3),sK1) ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f164,definition,
( spl4_1
<=> incident_point_and_line(intersection_point(sK2,sK3),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f166,plain,
( incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl4_2
<=> incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f170,plain,
( incident_point_and_line(intersection_point(sK2,sK3),sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f158,f168,f164]) ).
fof(f173,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f135,f136]) ).
fof(f175,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
| ~ spl4_2 ),
inference(resolution,[],[f156,f170]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,parallel_through_point(X1,X2))
| distinct_lines(X0,X1) ),
inference(resolution,[],[f84,f173]) ).
fof(f246,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK2,sK3),X0)
| distinct_lines(sK0,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f133,f175]) ).
fof(f255,plain,
( ! [X0] : distinct_lines(sK0,parallel_through_point(X0,intersection_point(sK2,sK3)))
| ~ spl4_2 ),
inference(resolution,[],[f246,f137]) ).
fof(f308,plain,
( ! [X0] : distinct_lines(sK0,X0)
| ~ spl4_2 ),
inference(resolution,[],[f255,f181]) ).
fof(f309,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f308,f81]) ).
fof(f311,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f312,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ spl4_1 ),
inference(resolution,[],[f166,f156]) ).
fof(f314,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK2,sK3),X0)
| distinct_lines(sK1,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f312,f133]) ).
fof(f323,plain,
( ! [X0] : distinct_lines(sK1,parallel_through_point(X0,intersection_point(sK2,sK3)))
| ~ spl4_1 ),
inference(resolution,[],[f314,f137]) ).
fof(f335,plain,
( ! [X0] : distinct_lines(sK1,X0)
| ~ spl4_1 ),
inference(resolution,[],[f323,f181]) ).
fof(f336,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f335,f81]) ).
fof(f338,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f336]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f171]) ).
cnf(s7,plain,
~ spl4_2,
inference(sat_conversion,[],[f311]) ).
cnf(s10,plain,
~ spl4_1,
inference(sat_conversion,[],[f338]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s7,s10]) ).
fof(f339,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO196+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:36:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (1320568)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1320579)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1886524223:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (1320574)% WARNING: option uhcvi not known.
% 0.11/0.45 % (1320579) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1320568-1320579"...
% 0.11/0.45 % (1320579)...printing done.
% 0.11/0.45 % (1320579)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1320579)------------------------------
% 0.11/0.45 % (1320579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1320579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1320579)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1320579)Termination reason: Refutation
% 0.11/0.45 % (1320579)Time elapsed: 0.003 s
% 0.11/0.45 % (1320579)Peak memory usage: 12 MB
% 0.11/0.45 % (1320579)Instructions burned: 7 (million)
% 0.11/0.45 % (1320568)Success in time 0.032 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------