%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO179+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:53:49 AM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 12 unt; 2 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 34 ~; 36 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(f11,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/GEO008+0.ax',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f32,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) )
& distinct_points(sK0,sK1)
& apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f33]) ).
fof(f35,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f49,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f50,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,definition,
( spl3_1
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f55,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| spl3_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f59,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| spl3_2 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f51,f57,f53]) ).
fof(f75,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f47,f49]) ).
fof(f77,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| spl3_1 ),
inference(resolution,[],[f75,f55]) ).
fof(f80,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f41,f49]) ).
fof(f83,plain,
distinct_points(sK2,sK1),
inference(forward_subsumption_resolution,[],[f80,f50]) ).
fof(f85,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f42,f49]) ).
fof(f88,plain,
distinct_points(sK2,sK0),
inference(forward_subsumption_resolution,[],[f85,f50]) ).
fof(f92,plain,
( distinct_points(sK2,sK2)
| ~ distinct_points(sK2,sK1)
| spl3_1 ),
inference(resolution,[],[f77,f42]) ).
fof(f96,plain,
( ~ distinct_points(sK2,sK1)
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f92,f35]) ).
fof(f97,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f96,f83]) ).
fof(f98,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f103,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK0))
| spl3_2 ),
inference(resolution,[],[f59,f75]) ).
fof(f104,plain,
( distinct_points(sK2,sK2)
| ~ distinct_points(sK2,sK0)
| spl3_2 ),
inference(resolution,[],[f103,f42]) ).
fof(f108,plain,
( ~ distinct_points(sK2,sK0)
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f104,f35]) ).
fof(f109,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f108,f88]) ).
fof(f110,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f109]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f60]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f98]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f110]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f111,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO179+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 07:27:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (2492316)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (2492322)% WARNING: option uhcvi not known.
% 0.10/0.44 % (2492321)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1089089404_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (2492326)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=795486900:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (2492327)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2067152105:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (2492323)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2652772385:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (2492324)dis+10_1_sil=32000:sp=arity:random_seed=2829587135:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (2492325)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1872888146:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % TRYING [1]
% 0.10/0.44 % TRYING [2]
% 0.10/0.44 % TRYING [3]
% 0.10/0.44 % (2492324) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2492316-2492324"...
% 0.10/0.44 % TRYING [4]
% 0.10/0.44 % (2492322)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=438174342:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % TRYING [5]
% 0.10/0.44 % (2492326) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2492316-2492326"...
% 0.10/0.44 % (2492324)...printing done.
% 0.10/0.44 % (2492324)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (2492324)------------------------------
% 0.10/0.44 % (2492324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (2492324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (2492324)CaDiCaL version: 2.1.3
% 0.10/0.44 % (2492324)Termination reason: Refutation
% 0.10/0.44 % (2492324)Time elapsed: 0.003 s
% 0.10/0.44 % (2492324)Peak memory usage: 12 MB
% 0.10/0.44 % (2492324)Instructions burned: 3 (million)
% 0.10/0.44 % (2492316)Success in time 0.035 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------