%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO256+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:52:15 AM UTC 2026
% Result : Theorem 2.72s 1.36s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 43 ( 11 ~; 3 |; 25 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 26 ( 16 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2,X3,X4] :
( ( distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) )
=> ( before_on_line(X0,X1,X2)
=> ( before_on_line(X0,X1,X3)
| before_on_line(X0,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) )
=> ( before_on_line(X0,X1,X2)
=> ( before_on_line(X0,X1,X3)
| before_on_line(X0,X3,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& ~ before_on_line(X0,X3,X2)
& before_on_line(X0,X1,X2)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f40,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& ~ before_on_line(X0,X3,X2)
& before_on_line(X0,X1,X2)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) ),
inference(flattening,[],[f39]) ).
fof(f43,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
( ~ before_on_line(sK0,sK1,sK3)
& ~ before_on_line(sK0,sK3,sK2)
& before_on_line(sK0,sK1,sK2)
& distinct_points(sK1,sK3)
& distinct_points(sK2,sK3)
& incident_point_and_line(sK3,sK0)
& left_apart_point(sK4,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f40]) ).
fof(f49,plain,
left_apart_point(sK4,sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f58,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
$false,
inference(forward_subsumption_resolution,[],[f49,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO256+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n003.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 07:55:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.72/1.36 % (179130)Detected formulas, will run a generic FOF schedule.
% 2.72/1.36 % (179138)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1813516883:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.36 % (179138)First to succeed.
% 2.72/1.36 % (179138)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-179130"
% 2.72/1.36 % (179140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2792362181:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.36 % (179139)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4153805815:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.36 % (179136)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=4183852984:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.36 % (179137)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=3521083721:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.36 % (179135)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=3254741556:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.36 % (179141)dis-21_1_sil=8000:lcm=predicate:random_seed=1277501741: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)
% 2.72/1.36 % (179139)Also succeeded, but the first one will report.
% 2.72/1.36 % (179141)Also succeeded, but the first one will report.
% 2.72/1.36 % (179140)Also succeeded, but the first one will report.
% 2.72/1.36 % (179138)Refutation found. Thanks to Tanya!
% 2.72/1.36 % SZS status Theorem for theBenchmark
% 2.72/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.36 % (179138)------------------------------
% 2.72/1.36 % (179138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (179138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (179138)CaDiCaL version: 2.1.3
% 2.72/1.36 % (179138)Termination reason: Refutation
% 2.72/1.36 % (179138)Time elapsed: 0.001 s
% 2.72/1.36 % (179138)Peak memory usage: 88 MB
% 2.72/1.36 % (179138)Instructions burned: 1 (million)
% 2.72/1.36 % (179138)------------------------------
% 2.72/1.36 % (179138)------------------------------
% 2.72/1.36 % (179130)Success in time 0.297 s
% 2.72/1.36 % Vampire exiting
%------------------------------------------------------------------------------