%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO238+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 09:52:10 AM UTC 2026
% Result : Theorem 3.54s 1.37s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 12 ~; 10 |; 17 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 43 ( 35 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
<=> ( ( left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2)) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_def) ).
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] :
( ( divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) )
=> ~ divides_points(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) )
=> ~ divides_points(X3,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
=> ( ( left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2)) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X1,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X1,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X0,X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2)) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) )
| ~ divides_points(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2)) )
| ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X1,X2) )
| ~ divides_points(X2,X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f44,plain,
( divides_points(sK3,sK1,sK2)
& divides_points(sK3,sK0,sK1)
& divides_points(sK3,sK0,sK2) ),
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(f47,plain,
divides_points(sK3,sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f50,plain,
! [X2,X0,X1] :
( left_apart_point(X0,X2)
| left_apart_point(X1,X2)
| ~ divides_points(X2,X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X2,X0,X1] :
( left_apart_point(X1,X2)
| ~ divides_points(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f50,f54]) ).
fof(f59,plain,
! [X2,X0,X1] : ~ divides_points(X2,X0,X1),
inference(forward_subsumption_resolution,[],[f58,f54]) ).
fof(f62,plain,
$false,
inference(resolution,[],[f59,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO238+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 07:48:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.54/1.37 % (2074541)Detected formulas, will run a generic FOF schedule.
% 3.54/1.37 % (2074546)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=68292642:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.37 % (2074547)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=2749118214:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.37 % (2074550)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4272321997:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.37 % (2074548)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=2961648368:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.37 % (2074549)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2535143129:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.37 % (2074552)dis-21_1_sil=8000:lcm=predicate:random_seed=3875249037: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)
% 3.54/1.37 % (2074551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=409312791:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.37 % (2074549)Refutation not found, incomplete strategy
% 3.54/1.37 % (2074549)------------------------------
% 3.54/1.37 % (2074549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.37 % (2074549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.37 % (2074549)CaDiCaL version: 2.1.3
% 3.54/1.37 % (2074549)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.37 % (2074549)Time elapsed: 0.001 s
% 3.54/1.37 % (2074549)Peak memory usage: 86 MB
% 3.54/1.37 % (2074550)First to succeed.
% 3.54/1.37 % (2074550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2074541"
% 3.54/1.37 % (2074551)Also succeeded, but the first one will report.
% 3.54/1.37 % (2074552)Also succeeded, but the first one will report.
% 3.54/1.37 % (2074549)------------------------------
% 3.54/1.37 % (2074549)------------------------------
% 3.54/1.37 % (2074550)Refutation found. Thanks to Tanya!
% 3.54/1.37 % SZS status Theorem for theBenchmark
% 3.54/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.37 % (2074550)------------------------------
% 3.54/1.37 % (2074550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.37 % (2074550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.37 % (2074550)CaDiCaL version: 2.1.3
% 3.54/1.37 % (2074550)Termination reason: Refutation
% 3.54/1.37 % (2074550)Time elapsed: 0.002 s
% 3.54/1.37 % (2074550)Peak memory usage: 88 MB
% 3.54/1.37 % (2074550)Instructions burned: 1 (million)
% 3.54/1.37 % (2074550)------------------------------
% 3.54/1.37 % (2074550)------------------------------
% 3.54/1.37 % (2074541)Success in time 0.434 s
% 3.54/1.37 % Vampire exiting
%------------------------------------------------------------------------------