%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO225+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 : n019.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 09:52:07 AM UTC 2026
% Result : Theorem 2.73s 1.26s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 24 ~; 12 |; 18 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f36,conjecture,
! [X0,X1] :
( ( point(X0)
& point(X1)
& distinct_points(X0,X1) )
=> ? [X2] :
( line(X2)
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( point(X0)
& point(X1)
& distinct_points(X0,X1) )
=> ? [X2] :
( line(X2)
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f39,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& point(X1)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f40,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& point(X1)
& distinct_points(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f57,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
( ! [X2] :
( ( ~ incident_point_and_line(sK0,X2)
| ~ incident_point_and_line(sK1,X2) )
& line(X2) )
& point(sK0)
& point(sK1)
& distinct_points(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f40]) ).
fof(f81,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f85,plain,
! [X2] :
( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f89,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f90,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f96,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f123,plain,
! [X0] :
( ~ incident_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f96,f85]) ).
fof(f124,plain,
! [X0] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f123,f96]) ).
fof(f128,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f89,f81]) ).
fof(f129,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f128,f124]) ).
fof(f130,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f90,f81]) ).
fof(f131,plain,
$false,
inference(resolution,[],[f129,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO225+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 07:45:04 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.73/1.26 % (2774235)Detected formulas, will run a generic FOF schedule.
% 2.73/1.26 % (2774246)dis-21_1_sil=8000:lcm=predicate:random_seed=3314282979: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)
% 2.73/1.26 % (2774246)First to succeed.
% 2.73/1.26 % (2774246)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2774235"
% 2.73/1.26 % (2774242)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=1831902038:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.26 % (2774243)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3702022527:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.26 % (2774241)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=1432679560:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.26 % (2774244)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1555689593:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.26 % (2774240)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=2107984066:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.26 % (2774245)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2761907609:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.26 % (2774243)Refutation not found, incomplete strategy
% 2.73/1.26 % (2774243)------------------------------
% 2.73/1.26 % (2774243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.26 % (2774243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.26 % (2774243)CaDiCaL version: 2.1.3
% 2.73/1.26 % (2774243)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.26 % (2774243)Time elapsed: 0.001 s
% 2.73/1.26 % (2774243)Peak memory usage: 87 MB
% 2.73/1.26 % (2774244)Refutation not found, incomplete strategy
% 2.73/1.26 % (2774244)------------------------------
% 2.73/1.26 % (2774244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.26 % (2774244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.26 % (2774244)CaDiCaL version: 2.1.3
% 2.73/1.26 % (2774244)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.26 % (2774244)Time elapsed: 0.001 s
% 2.73/1.26 % (2774244)Peak memory usage: 87 MB
% 2.73/1.26 % (2774244)Instructions burned: 1 (million)
% 2.73/1.26 % (2774245)Also succeeded, but the first one will report.
% 2.73/1.26 % (2774246)Refutation found. Thanks to Tanya!
% 2.73/1.26 % SZS status Theorem for theBenchmark
% 2.73/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.26 % (2774246)------------------------------
% 2.73/1.26 % (2774246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.26 % (2774246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.26 % (2774246)CaDiCaL version: 2.1.3
% 2.73/1.26 % (2774246)Termination reason: Refutation
% 2.73/1.26 % (2774246)Time elapsed: 0.002 s
% 2.73/1.26 % (2774246)Peak memory usage: 88 MB
% 2.73/1.26 % (2774246)Instructions burned: 2 (million)
% 2.73/1.26 % (2774246)------------------------------
% 2.73/1.26 % (2774246)------------------------------
% 2.73/1.26 % (2774235)Success in time 0.319 s
% 2.73/1.26 % Vampire exiting
%------------------------------------------------------------------------------