%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO255+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:52:15 AM UTC 2026
% Result : Theorem 2.63s 1.34s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 67 ( 28 ~; 20 |; 12 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 62 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f9,axiom,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
<=> ( distinct_points(X1,X2)
& incident_point_and_line(X1,X0)
& incident_point_and_line(X2,X0)
& equally_directed_lines(X0,line_connecting(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_defns) ).
fof(f15,axiom,
! [X0] : equally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5_basics) ).
fof(f16,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
fof(f30,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9_cons_objs) ).
fof(f37,conjecture,
! [X0,X1,X2] :
~ ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
=> ( distinct_points(X1,X2)
& incident_point_and_line(X1,X0)
& incident_point_and_line(X2,X0)
& equally_directed_lines(X0,line_connecting(X1,X2)) ) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f40,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f43,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
=> ( distinct_points(X1,X2)
& equally_directed_lines(X0,line_connecting(X1,X2)) ) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f44,plain,
? [X0,X1,X2] :
( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& equally_directed_lines(X0,line_connecting(X1,X2)) )
| ~ before_on_line(X0,X1,X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f48,plain,
! [X0,X1] :
( equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f52,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f78,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f79,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
( before_on_line(sK0,sK1,sK2)
& before_on_line(sK0,sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f44]) ).
fof(f83,plain,
before_on_line(sK0,sK2,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f84,plain,
before_on_line(sK0,sK1,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| equally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f88,plain,
! [X0,X1] :
( equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f93,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f94,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f111,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f121,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f94,f93]) ).
fof(f126,plain,
distinct_points(sK2,sK1),
inference(resolution,[],[f86,f83]) ).
fof(f130,plain,
equally_directed_lines(sK0,line_connecting(sK2,sK1)),
inference(resolution,[],[f85,f83]) ).
fof(f131,plain,
equally_directed_lines(sK0,line_connecting(sK1,sK2)),
inference(resolution,[],[f85,f84]) ).
fof(f132,plain,
~ unequally_directed_lines(sK0,line_connecting(sK2,sK1)),
inference(resolution,[],[f130,f94]) ).
fof(f134,plain,
~ unequally_directed_lines(sK0,line_connecting(sK1,sK2)),
inference(resolution,[],[f131,f94]) ).
fof(f137,plain,
! [X0] :
( unequally_directed_lines(X0,line_connecting(sK2,sK1))
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f121,f132]) ).
fof(f138,plain,
! [X0] :
( unequally_directed_lines(X0,line_connecting(sK1,sK2))
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f134,f121]) ).
fof(f142,plain,
~ unequally_directed_lines(line_connecting(sK2,sK1),sK0),
inference(resolution,[],[f137,f124]) ).
fof(f144,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(resolution,[],[f88,f94]) ).
fof(f148,plain,
~ unequally_directed_lines(line_connecting(sK1,sK2),sK0),
inference(resolution,[],[f138,f124]) ).
fof(f150,plain,
! [X0] :
( ~ unequally_directed_lines(X0,line_connecting(sK1,sK2))
| unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f148,f121]) ).
fof(f177,plain,
~ unequally_directed_lines(line_connecting(sK2,sK1),reverse_line(line_connecting(sK1,sK2))),
inference(resolution,[],[f144,f126]) ).
fof(f182,plain,
unequally_directed_lines(line_connecting(sK2,sK1),line_connecting(sK1,sK2)),
inference(resolution,[],[f177,f111]) ).
fof(f184,plain,
unequally_directed_lines(line_connecting(sK2,sK1),sK0),
inference(resolution,[],[f182,f150]) ).
fof(f186,plain,
$false,
inference(resolution,[],[f184,f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO255+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n006.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 07:53:11 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.63/1.34 % (2664800)Detected formulas, will run a generic FOF schedule.
% 2.63/1.34 % (2664811)dis-21_1_sil=8000:lcm=predicate:random_seed=465357308:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.63/1.34 % (2664811)First to succeed.
% 2.63/1.34 % (2664811)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2664800"
% 2.63/1.34 % (2664809)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1244691931:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.63/1.34 % (2664807)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3562465406:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.63/1.34 % (2664806)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1188872807:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.63/1.34 % (2664805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1993201531:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.63/1.34 % (2664808)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=273394167:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.63/1.34 % (2664810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2346802722:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.63/1.34 % (2664808)Refutation not found, incomplete strategy
% 2.63/1.34 % (2664808)------------------------------
% 2.63/1.34 % (2664808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.34 % (2664809)Refutation not found, incomplete strategy
% 2.63/1.34 % (2664809)------------------------------
% 2.63/1.34 % (2664809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.34 % (2664808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.34 % (2664809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.34 % (2664808)CaDiCaL version: 2.1.3
% 2.63/1.34 % (2664809)CaDiCaL version: 2.1.3
% 2.63/1.34 % (2664808)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.34 % (2664808)Time elapsed: 0.001 s
% 2.63/1.34 % (2664809)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.34 % (2664809)Time elapsed: 0.001 s
% 2.63/1.34 % (2664808)Peak memory usage: 86 MB
% 2.63/1.34 % (2664809)Peak memory usage: 86 MB
% 2.63/1.34 % (2664810)Also succeeded, but the first one will report.
% 2.63/1.34 % (2664811)Refutation found. Thanks to Tanya!
% 2.63/1.34 % SZS status Theorem for theBenchmark
% 2.63/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.34 % (2664811)------------------------------
% 2.63/1.34 % (2664811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.34 % (2664811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.34 % (2664811)CaDiCaL version: 2.1.3
% 2.63/1.34 % (2664811)Termination reason: Refutation
% 2.63/1.34 % (2664811)Time elapsed: 0.002 s
% 2.63/1.34 % (2664811)Peak memory usage: 88 MB
% 2.63/1.34 % (2664811)Instructions burned: 4 (million)
% 2.63/1.34 % (2664811)------------------------------
% 2.63/1.34 % (2664811)------------------------------
% 2.63/1.34 % (2664800)Success in time 0.288 s
% 2.63/1.34 % Vampire exiting
%------------------------------------------------------------------------------