%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO192+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:53:55 AM UTC 2026
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 14 unt; 5 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 129 ( 53 ~; 55 |; 8 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
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(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
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(f76,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f77,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( ( ~ distinct_lines(sK0,sK2)
| ~ distinct_lines(sK1,sK2) )
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f77]) ).
fof(f80,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f87,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f88,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f91,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(f115,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f116,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f78]) ).
fof(f117,plain,
( ~ distinct_lines(sK0,sK2)
| ~ distinct_lines(sK1,sK2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f122,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X0)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f123,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X1)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f126,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f147,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f148,plain,
~ convergent_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f150,definition,
( spl3_1
<=> distinct_lines(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f152,plain,
( ~ distinct_lines(sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl3_2
<=> distinct_lines(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f156,plain,
( ~ distinct_lines(sK0,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f117,f154,f150]) ).
fof(f162,plain,
( ! [X0] :
( distinct_lines(X0,sK2)
| ~ distinct_lines(X0,sK1) )
| spl3_1 ),
inference(resolution,[],[f83,f152]) ).
fof(f163,plain,
( ! [X0] :
( distinct_lines(X0,sK2)
| ~ distinct_lines(X0,sK0) )
| spl3_2 ),
inference(resolution,[],[f83,f156]) ).
fof(f168,plain,
( ~ distinct_lines(sK2,sK1)
| spl3_1 ),
inference(resolution,[],[f162,f80]) ).
fof(f175,plain,
( ~ distinct_lines(sK2,sK0)
| spl3_2 ),
inference(resolution,[],[f163,f80]) ).
fof(f292,plain,
! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f126,f147]) ).
fof(f295,plain,
( distinct_lines(sK2,sK0)
| convergent_lines(sK0,sK1) ),
inference(resolution,[],[f292,f122]) ).
fof(f296,plain,
( distinct_lines(sK2,sK1)
| convergent_lines(sK0,sK1) ),
inference(resolution,[],[f292,f123]) ).
fof(f304,definition,
( spl3_3
<=> convergent_lines(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f306,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f308,definition,
( spl3_4
<=> distinct_lines(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f310,plain,
( distinct_lines(sK2,sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f296,f308,f304]) ).
fof(f313,definition,
( spl3_5
<=> distinct_lines(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f315,plain,
( distinct_lines(sK2,sK0)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f295,f313,f304]) ).
fof(f317,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f306,f148]) ).
fof(f325,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f327,plain,
( $false
| spl3_1
| ~ spl3_4 ),
inference(resolution,[],[f310,f168]) ).
fof(f328,plain,
( spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f329,plain,
( $false
| spl3_2
| ~ spl3_5 ),
inference(resolution,[],[f315,f175]) ).
fof(f330,plain,
( spl3_2
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f329]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f157]) ).
cnf(s2,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f311]) ).
cnf(s3,plain,
( spl3_3
| spl3_5 ),
inference(sat_conversion,[],[f316]) ).
cnf(s4,plain,
~ spl3_3,
inference(sat_conversion,[],[f325]) ).
cnf(s5,plain,
( spl3_1
| ~ spl3_4 ),
inference(sat_conversion,[],[f328]) ).
cnf(s6,plain,
( spl3_2
| ~ spl3_5 ),
inference(sat_conversion,[],[f330]) ).
cnf(s7,plain,
spl3_5,
inference(rat,[],[s3,s4]) ).
cnf(s8,plain,
spl3_2,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
spl3_4,
inference(rat,[],[s2,s4]) ).
cnf(s10,plain,
spl3_1,
inference(rat,[],[s5,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s8,s10]) ).
fof(f331,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO192+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 % Computer : n016.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 07:35:47 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47 Running first-order model finding
% 0.14/0.47 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
% 0.22/0.51 % (2294548)Will run a generic schedule for satisfiability detection.
% 0.22/0.51 % (2294559)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3234823491:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.51 % (2294555)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3270538689:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.51 % (2294559) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2294548-2294559"...
% 0.22/0.51 % (2294559)...printing done.
% 0.22/0.51 % (2294559)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (2294559)------------------------------
% 0.22/0.51 % (2294559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.51 % (2294559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.51 % (2294559)CaDiCaL version: 2.1.3
% 0.22/0.51 % (2294559)Termination reason: Refutation
% 0.22/0.51 % (2294559)Time elapsed: 0.004 s
% 0.22/0.51 % (2294559)Peak memory usage: 12 MB
% 0.22/0.51 % (2294559)Instructions burned: 8 (million)
% 0.22/0.51 % (2294548)Success in time 0.027 s
% 0.22/0.51 % Vampire exiting
%------------------------------------------------------------------------------