%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO183+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 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 13 unt; 2 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 40 ~; 27 |; 12 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 49 !; 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(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(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)
& equal_lines(X2,line_connecting(X0,X1)) )
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) )
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( equal_lines(X0,X1)
=> ~ distinct_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(f54,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(f55,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f78,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f81,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f80]) ).
fof(f88,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f89,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f94,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f118,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f119,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
( ~ incident_point_and_line(sK1,sK2)
| ~ incident_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f121,plain,
equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f125,definition,
( spl4_1
<=> incident_point_and_line(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f127,plain,
( ~ incident_point_and_line(sK0,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl4_2
<=> incident_point_and_line(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f131,plain,
( ~ incident_point_and_line(sK1,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f120,f129,f125]) ).
fof(f134,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f118,f121]) ).
fof(f135,plain,
( apart_point_and_line(sK0,sK2)
| spl4_1 ),
inference(resolution,[],[f119,f127]) ).
fof(f136,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f88,f123]) ).
fof(f137,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f89,f123]) ).
fof(f187,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f94,f134]) ).
fof(f191,plain,
~ apart_point_and_line(sK0,sK2),
inference(resolution,[],[f187,f136]) ).
fof(f192,plain,
~ apart_point_and_line(sK1,sK2),
inference(resolution,[],[f187,f137]) ).
fof(f193,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f191,f135]) ).
fof(f194,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( apart_point_and_line(sK1,sK2)
| spl4_2 ),
inference(resolution,[],[f131,f119]) ).
fof(f196,plain,
( $false
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f195,f192]) ).
fof(f197,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f196]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f132]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f194]) ).
cnf(s3,plain,
spl4_2,
inference(sat_conversion,[],[f197]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f198,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO183+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 07:30:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (2493598)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2493604)% WARNING: option uhcvi not known.
% 0.11/0.46 % (2493603)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1359332136_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (2493605)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1266952287:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2493606)dis+10_1_sil=32000:sp=arity:random_seed=4167457694:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (2493607)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=459807968:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (2493608)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3526191305:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (2493609)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2029169910:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (2493604)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1718492342:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % (2493609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2493598-2493609"...
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (2493607) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2493598-2493607"...
% 0.11/0.46 % (2493609)...printing done.
% 0.11/0.46 % (2493607)...printing done.
% 0.11/0.46 % TRYING [5]
% 0.11/0.46 % (2493604) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2493598-2493604"...
% 0.11/0.46 % (2493607)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2493607)------------------------------
% 0.11/0.46 % (2493607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2493607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2493607)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2493607)Termination reason: Refutation
% 0.11/0.46 % (2493607)Time elapsed: 0.005 s
% 0.11/0.46 % (2493607)Peak memory usage: 12 MB
% 0.11/0.46 % (2493607)Instructions burned: 6 (million)
% 0.11/0.46 % (2493598)Success in time 0.045 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------