%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO170+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 : n013.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 09:53:46 AM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 18 unt; 4 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 57 ~; 58 |; 11 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 60 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& 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] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ),
inference(flattening,[],[f80]) ).
fof(f88,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f89,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f118,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| equal_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),
inference(cnf_transformation,[],[f81]) ).
fof(f121,plain,
incident_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
~ equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f81]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_lines(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f144,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f145,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f146,plain,
equal_lines(sK2,line_connecting(sK0,sK1)),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f147,plain,
~ incident_point_and_line(sK0,sK2),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f148,plain,
~ incident_point_and_line(sK1,sK2),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f150,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f144,f146]) ).
fof(f219,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| apart_point_and_line(sK1,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f126,f122]) ).
fof(f236,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(resolution,[],[f219,f150]) ).
fof(f240,definition,
( spl3_3
<=> apart_point_and_line(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f242,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,definition,
( spl3_4
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f246,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl3_5
<=> apart_point_and_line(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f250,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl3_6
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f254,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( spl3_3
| spl3_4
| spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f236,f252,f248,f244,f240]) ).
fof(f277,plain,
( incident_point_and_line(sK0,sK2)
| ~ spl3_3 ),
inference(resolution,[],[f242,f145]) ).
fof(f278,plain,
( $false
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f277,f147]) ).
fof(f279,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f286,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_4 ),
inference(resolution,[],[f246,f88]) ).
fof(f290,plain,
( $false
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f286,f122]) ).
fof(f291,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f295,plain,
( incident_point_and_line(sK1,sK2)
| ~ spl3_5 ),
inference(resolution,[],[f250,f145]) ).
fof(f296,plain,
( $false
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f295,f148]) ).
fof(f297,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f298,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_6 ),
inference(resolution,[],[f254,f89]) ).
fof(f302,plain,
( $false
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f298,f122]) ).
fof(f303,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f302]) ).
cnf(s2,plain,
( spl3_3
| spl3_4
| spl3_5
| spl3_6 ),
inference(sat_conversion,[],[f255]) ).
cnf(s3,plain,
~ spl3_3,
inference(sat_conversion,[],[f279]) ).
cnf(s4,plain,
~ spl3_4,
inference(sat_conversion,[],[f291]) ).
cnf(s5,plain,
~ spl3_5,
inference(sat_conversion,[],[f297]) ).
cnf(s6,plain,
~ spl3_6,
inference(sat_conversion,[],[f303]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5,s4,s3]) ).
fof(f304,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO170+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 07:21:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.48 % (4080857)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (4080862)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=484865269_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % (4080863)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % TRYING [6]
% 0.17/0.48 % (4080863)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3381131633:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (4080864)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2191322372:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (4080865)dis+10_1_sil=32000:sp=arity:random_seed=2663799947:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (4080866)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1684067438:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (4080867)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3419840591:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (4080868)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=504592955:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % TRYING [7]
% 0.17/0.48 % (4080863) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4080857-4080863"...
% 0.17/0.48 % (4080865) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4080857-4080865"...
% 0.17/0.48 % (4080863)...printing done.
% 0.17/0.48 % (4080865)...printing done.
% 0.17/0.48 % (4080863)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (4080863)------------------------------
% 0.17/0.48 % (4080863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (4080863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (4080863)CaDiCaL version: 2.1.3
% 0.17/0.48 % (4080863)Termination reason: Refutation
% 0.17/0.48 % (4080863)Time elapsed: 0.007 s
% 0.17/0.48 % (4080863)Peak memory usage: 12 MB
% 0.17/0.48 % (4080863)Instructions burned: 8 (million)
% 0.17/0.48 % (4080857)Success in time 0.04 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------