%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO264+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:52:17 AM UTC 2026
% Result : Theorem 3.55s 1.42s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 8 ~; 1 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( left_apart_point(X2,line_connecting(X0,X1))
=> ( ( left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0))) )
=> left_apart_point(X3,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( left_apart_point(X2,line_connecting(X0,X1))
=> ( ( left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0))) )
=> left_apart_point(X3,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ~ left_apart_point(X3,line_connecting(X0,X1))
& left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( ~ left_apart_point(X3,line_connecting(X0,X1))
& left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f38,plain,
( ~ left_apart_point(sK3,line_connecting(sK0,sK1))
& left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2)))
& left_apart_point(sK3,reverse_line(line_connecting(sK2,sK0)))
& left_apart_point(sK2,line_connecting(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f36]) ).
fof(f39,plain,
left_apart_point(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f44,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f37]) ).
fof(f45,plain,
$false,
inference(forward_subsumption_resolution,[],[f39,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO264+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n011.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 07:56:01 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.55/1.42 % (2080451)Detected formulas, will run a generic FOF schedule.
% 3.55/1.42 % (2080511)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=2997987029:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.55/1.42 % (2080515)dis-21_1_sil=8000:lcm=predicate:random_seed=3644890778: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)
% 3.55/1.42 % (2080512)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3102506874:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.55/1.42 % (2080510)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=3817087274:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.55/1.42 % (2080514)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2439341477:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.55/1.42 % (2080509)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=3578254648:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.55/1.42 % (2080512)First to succeed.
% 3.55/1.42 % (2080515)Also succeeded, but the first one will report.
% 3.55/1.42 % (2080514)Also succeeded, but the first one will report.
% 3.55/1.42 % (2080512)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2080451"
% 3.55/1.42 % (2080513)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2902539765:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.55/1.42 % (2080513)Also succeeded, but the first one will report.
% 3.55/1.42 % (2080512)Refutation found. Thanks to Tanya!
% 3.55/1.42 % SZS status Theorem for theBenchmark
% 3.55/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.42 % (2080512)------------------------------
% 3.55/1.42 % (2080512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.42 % (2080512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.42 % (2080512)CaDiCaL version: 2.1.3
% 3.55/1.42 % (2080512)Termination reason: Refutation
% 3.55/1.42 % (2080512)Time elapsed: 0.001 s
% 3.55/1.42 % (2080512)Peak memory usage: 88 MB
% 3.55/1.42 % (2080512)------------------------------
% 3.55/1.42 % (2080512)------------------------------
% 3.55/1.42 % (2080451)Success in time 0.435 s
% 3.55/1.42 % Vampire exiting
%------------------------------------------------------------------------------