%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO184+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 : n026.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 09:53:51 AM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 13 unt; 2 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 44 ~; 44 |; 19 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
fof(f36,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
=> ~ apart_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
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(f78,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f81,plain,
? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1)
& convergent_lines(sK2,sK3)
& incident_point_and_line(sK0,sK2)
& incident_point_and_line(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f81]) ).
fof(f89,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f90,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f93,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,[],[f51]) ).
fof(f119,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f120,plain,
! [X0,X1] :
( ~ incident_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
incident_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f122,plain,
incident_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f124,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f125,plain,
~ equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f82]) ).
fof(f127,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f119,f125]) ).
fof(f128,plain,
~ apart_point_and_line(sK1,sK2),
inference(resolution,[],[f120,f121]) ).
fof(f129,plain,
~ apart_point_and_line(sK0,sK2),
inference(resolution,[],[f120,f122]) ).
fof(f231,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f93,f127]) ).
fof(f531,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(resolution,[],[f231,f124]) ).
fof(f550,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f531,f128]) ).
fof(f552,definition,
( spl4_11
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f554,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f562,definition,
( spl4_13
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f564,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f573,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f550,f129]) ).
fof(f574,plain,
( spl4_13
| spl4_11 ),
inference(avatar_split_clause,[],[f573,f552,f562]) ).
fof(f575,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_13 ),
inference(resolution,[],[f564,f89]) ).
fof(f578,plain,
( $false
| ~ spl4_13 ),
inference(forward_subsumption_resolution,[],[f575,f124]) ).
fof(f579,plain,
~ spl4_13,
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f600,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_11 ),
inference(resolution,[],[f554,f90]) ).
fof(f603,plain,
( $false
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f600,f124]) ).
fof(f604,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f603]) ).
cnf(s16,plain,
( spl4_11
| spl4_13 ),
inference(sat_conversion,[],[f574]) ).
cnf(s17,plain,
~ spl4_13,
inference(sat_conversion,[],[f579]) ).
cnf(s18,plain,
~ spl4_11,
inference(sat_conversion,[],[f604]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s16,s17,s18]) ).
fof(f605,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO184+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n026.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 07:30:26 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
% 0.18/0.49 % (2494053)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (2494058)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=241942172_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % TRYING [3]
% 0.18/0.49 % TRYING [4]
% 0.18/0.49 % (2494059)% WARNING: option uhcvi not known.
% 0.18/0.49 % TRYING [5]
% 0.18/0.49 % TRYING [6]
% 0.18/0.49 % (2494059)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3271861856:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (2494061)dis+10_1_sil=32000:sp=arity:random_seed=2146002781:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (2494060)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3111722511:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (2494062)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1754344222:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (2494063)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2439929929:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (2494064)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3659545056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % TRYING [7]
% 0.18/0.49 % (2494061) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2494053-2494061"...
% 0.18/0.49 % (2494061)...printing done.
% 0.18/0.49 % (2494062) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2494053-2494062"...
% 0.18/0.49 % (2494061)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (2494061)------------------------------
% 0.18/0.49 % (2494061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (2494061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (2494061)CaDiCaL version: 2.1.3
% 0.18/0.49 % (2494061)Termination reason: Refutation
% 0.18/0.49 % (2494061)Time elapsed: 0.011 s
% 0.18/0.49 % (2494061)Peak memory usage: 12 MB
% 0.18/0.49 % (2494061)Instructions burned: 16 (million)
% 0.18/0.49 % (2494053)Success in time 0.062 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------