%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO255+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 : n004.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 09:54:16 AM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 66 ( 28 ~; 20 |; 11 &)
% ( 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/sandbox2/benchmark/Axioms/GEO009+0.ax',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/sandbox2/benchmark/Axioms/GEO009+0.ax',ax4_defns) ).
fof(f15,axiom,
! [X0] : equally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',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/sandbox2/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',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/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_cons_objs) ).
fof(f37,conjecture,
! [X0,X1,X2] :
~ ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ),
file('/export/starexec/sandbox2/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(f45,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f47,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(f52,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f53,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f70,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(f81,plain,
? [X0,X1,X2] :
( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f83,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| equally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f92,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f98,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f114,plain,
! [X0,X1] :
( equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f121,plain,
before_on_line(sK0,sK2,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
before_on_line(sK0,sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f126,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f83,f92]) ).
fof(f128,plain,
distinct_points(sK2,sK1),
inference(resolution,[],[f87,f121]) ).
fof(f137,plain,
equally_directed_lines(sK0,line_connecting(sK2,sK1)),
inference(resolution,[],[f86,f121]) ).
fof(f138,plain,
equally_directed_lines(sK0,line_connecting(sK1,sK2)),
inference(resolution,[],[f86,f122]) ).
fof(f139,plain,
~ unequally_directed_lines(sK0,line_connecting(sK2,sK1)),
inference(resolution,[],[f137,f83]) ).
fof(f148,plain,
~ unequally_directed_lines(sK0,line_connecting(sK1,sK2)),
inference(resolution,[],[f138,f83]) ).
fof(f169,plain,
! [X0] :
( unequally_directed_lines(X0,line_connecting(sK2,sK1))
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f93,f139]) ).
fof(f178,plain,
! [X0] :
( unequally_directed_lines(X0,line_connecting(sK1,sK2))
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f148,f93]) ).
fof(f188,plain,
~ unequally_directed_lines(line_connecting(sK2,sK1),sK0),
inference(resolution,[],[f169,f126]) ).
fof(f192,plain,
! [X0] :
( ~ unequally_directed_lines(line_connecting(sK2,sK1),X0)
| unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f188,f93]) ).
fof(f194,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(resolution,[],[f114,f83]) ).
fof(f437,plain,
~ unequally_directed_lines(line_connecting(sK1,sK2),sK0),
inference(resolution,[],[f178,f126]) ).
fof(f646,plain,
~ unequally_directed_lines(line_connecting(sK2,sK1),reverse_line(line_connecting(sK1,sK2))),
inference(resolution,[],[f194,f128]) ).
fof(f698,plain,
unequally_directed_lines(line_connecting(sK2,sK1),line_connecting(sK1,sK2)),
inference(resolution,[],[f646,f98]) ).
fof(f745,plain,
unequally_directed_lines(line_connecting(sK1,sK2),sK0),
inference(resolution,[],[f698,f192]) ).
fof(f751,plain,
$false,
inference(forward_subsumption_resolution,[],[f745,f437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO255+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n004.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 07:53:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.45 % (3185063)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3185072)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3509895851:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3185070)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2863983713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3185068)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2710802532_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (3185071)dis+10_1_sil=32000:sp=arity:random_seed=168265108:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3185073)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1747285935:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (3185074)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4287349877:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (3185069)% WARNING: option uhcvi not known.
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (3185072) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3185063-3185072"...
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (3185072)...printing done.
% 0.10/0.45 % (3185072)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3185072)------------------------------
% 0.10/0.45 % (3185072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3185072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3185072)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3185072)Termination reason: Refutation
% 0.10/0.45 % (3185072)Time elapsed: 0.011 s
% 0.10/0.45 % (3185072)Peak memory usage: 12 MB
% 0.10/0.45 % (3185072)Instructions burned: 35 (million)
% 0.10/0.45 % (3185063)Success in time 0.045 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------