%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO243+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 : n001.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 09:52:12 AM UTC 2026
% Result : Theorem 3.59s 6.75s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 8 ~; 1 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,line_connecting(X0,X1))
=> right_apart_point(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,line_connecting(X0,X1))
=> right_apart_point(X2,line_connecting(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X2,line_connecting(X1,X0))
& left_apart_point(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X2,line_connecting(X1,X0))
& left_apart_point(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f48,plain,
( ~ right_apart_point(sK2,line_connecting(sK1,sK0))
& left_apart_point(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f41]) ).
fof(f50,plain,
left_apart_point(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f48]) ).
fof(f55,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f45]) ).
fof(f58,plain,
$false,
inference(forward_subsumption_resolution,[],[f50,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO243+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.58 % Computer : n001.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.59 % CPULimit : 300
% 0.09/5.59 % WCLimit : 300
% 0.09/5.59 % DateTime : Sun Sep 27 07:56:07 UTC 2026
% 0.09/5.59 % CPUTime :
% 0.09/5.59 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.62 Running first-order theorem proving
% 0.14/5.62 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
% 3.59/6.75 % (3229065)Detected formulas, will run a generic FOF schedule.
% 3.59/6.75 % (3229071)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=2402412787:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/6.75 % (3229072)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=1706186904:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/6.75 % (3229073)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2734730707:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/6.75 % (3229070)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=843922012:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/6.75 % (3229073)First to succeed.
% 3.59/6.75 % (3229073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3229065"
% 3.59/6.75 % (3229075)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1094486984:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/6.75 % (3229076)dis-21_1_sil=8000:lcm=predicate:random_seed=3254257264: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)
% 3.59/6.75 % (3229074)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1914165095:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/6.75 % (3229076)Also succeeded, but the first one will report.
% 3.59/6.75 % (3229075)Also succeeded, but the first one will report.
% 3.59/6.75 % (3229074)Also succeeded, but the first one will report.
% 3.59/6.75 % (3229073)Refutation found. Thanks to Tanya!
% 3.59/6.75 % SZS status Theorem for theBenchmark
% 3.59/6.75 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/6.75 % (3229073)------------------------------
% 3.59/6.75 % (3229073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/6.75 % (3229073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/6.75 % (3229073)CaDiCaL version: 2.1.3
% 3.59/6.75 % (3229073)Termination reason: Refutation
% 3.59/6.75 % (3229073)Time elapsed: 0.002 s
% 3.59/6.75 % (3229073)Peak memory usage: 88 MB
% 3.59/6.75 % (3229073)------------------------------
% 3.59/6.75 % (3229073)------------------------------
% 3.59/6.75 % (3229065)Success in time 0.472 s
% 3.59/6.75 % Vampire exiting
%------------------------------------------------------------------------------