%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO255+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 0.47s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 148 ( 64 ~; 48 |; 29 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 78 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
<=> ( distinct_points(X1,X2)
& ~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) )
& ~ ( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0)) )
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',bf_def) ).
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(f13,axiom,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(f14,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f25,axiom,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( ( line(X0)
& distinct_points(X1,X2) )
=> ~ ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( line(X0)
& distinct_points(X1,X2) )
=> ~ ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
=> ( distinct_points(X1,X2)
& ~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) )
& ~ ( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0)) )
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X2,X0)
& ~ left_apart_point(X2,reverse_line(X0))
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) )
| ~ before_on_line(X0,X1,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X2,X0)
& ~ left_apart_point(X2,reverse_line(X0))
& ~ unequally_directed_lines(X0,line_connecting(X1,X2)) )
| ~ before_on_line(X0,X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f43,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f44,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f47,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f48,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f50,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f49]) ).
fof(f52,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f73,plain,
? [X0,X1,X2] :
( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1)
& line(X0)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
? [X0,X1,X2] :
( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X1)
& line(X0)
& distinct_points(X1,X2) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| ~ unequally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f87,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f94,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f97,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f98,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f52]) ).
fof(f109,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f117,plain,
line(sK0),
inference(cnf_transformation,[],[f74]) ).
fof(f118,plain,
before_on_line(sK0,sK2,sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f119,plain,
before_on_line(sK0,sK1,sK2),
inference(cnf_transformation,[],[f74]) ).
fof(f121,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f94,f97]) ).
fof(f122,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f121,f98]) ).
fof(f125,plain,
~ unequally_directed_lines(sK0,line_connecting(sK2,sK1)),
inference(resolution,[],[f77,f118]) ).
fof(f126,plain,
~ unequally_directed_lines(sK0,line_connecting(sK1,sK2)),
inference(resolution,[],[f77,f119]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X2,X0)
| unequally_directed_lines(X2,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f88,f122]) ).
fof(f153,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X0) ),
inference(resolution,[],[f88,f87]) ).
fof(f158,plain,
! [X0] :
( unequally_directed_lines(X0,line_connecting(sK2,sK1))
| ~ unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f88,f125]) ).
fof(f159,plain,
! [X0] :
( unequally_directed_lines(X0,line_connecting(sK1,sK2))
| ~ unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f88,f126]) ).
fof(f175,plain,
! [X0] :
( ~ line(X0)
| unequally_directed_lines(X0,reverse_line(sK0))
| unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f93,f117]) ).
fof(f338,plain,
( unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,sK0) ),
inference(resolution,[],[f175,f117]) ).
fof(f340,plain,
unequally_directed_lines(sK0,reverse_line(sK0)),
inference(forward_subsumption_resolution,[],[f338,f87]) ).
fof(f413,plain,
! [X0] :
( unequally_directed_lines(line_connecting(sK1,sK2),X0)
| ~ unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f153,f159]) ).
fof(f528,plain,
~ unequally_directed_lines(sK0,reverse_line(line_connecting(sK2,sK1))),
inference(resolution,[],[f413,f109]) ).
fof(f581,plain,
! [X0] :
( ~ unequally_directed_lines(sK0,X0)
| ~ unequally_directed_lines(X0,line_connecting(sK2,sK1)) ),
inference(resolution,[],[f149,f528]) ).
fof(f609,plain,
! [X0] : ~ unequally_directed_lines(sK0,X0),
inference(forward_subsumption_resolution,[],[f581,f158]) ).
fof(f612,plain,
$false,
inference(resolution,[],[f609,f340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO255+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 07:53:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.47 % (2077449)Will run a generic schedule for satisfiability detection.
% 0.10/0.47 % (2077459)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3270446234:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.47 % (2077455)% WARNING: option uhcvi not known.
% 0.10/0.47 % (2077454)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=113361362_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.47 % (2077456)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3451518721:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.47 % (2077457)dis+10_1_sil=32000:sp=arity:random_seed=445952074:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.47 % (2077458)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1032551706:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.47 % (2077460)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1552502047:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.47 % (2077455)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2634934988:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.47 % TRYING [1]
% 0.10/0.47 % TRYING [2]
% 0.10/0.47 % TRYING [3]
% 0.10/0.47 % TRYING [4]
% 0.10/0.47 % TRYING [5]
% 0.10/0.47 % (2077458) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2077449-2077458"...
% 0.10/0.47 % (2077459) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2077449-2077459"...
% 0.10/0.47 % (2077458)...printing done.
% 0.10/0.47 % (2077459)...printing done.
% 0.10/0.47 % (2077458)Refutation found. Thanks to Tanya!
% 0.10/0.47 % SZS status Theorem for theBenchmark
% 0.10/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.47 % (2077458)------------------------------
% 0.10/0.47 % (2077458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.47 % (2077458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.47 % (2077458)CaDiCaL version: 2.1.3
% 0.10/0.47 % (2077458)Termination reason: Refutation
% 0.10/0.47 % (2077458)Time elapsed: 0.014 s
% 0.10/0.47 % (2077458)Peak memory usage: 11 MB
% 0.10/0.47 % (2077458)Instructions burned: 23 (million)
% 0.10/0.47 % (2077449)Success in time 0.054 s
% 0.10/0.47 % Vampire exiting
%------------------------------------------------------------------------------