%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n016.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 09:54:08 AM UTC 2026
% Result : Theorem 0.04s 0.45s
% Output : Refutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 24 ~; 13 |; 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 : 37 ( 31 !; 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/Axioms/GEO006+0.ax',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',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(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f77,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f78,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(f79,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,[],[f78]) ).
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)],[f79]) ).
fof(f87,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f88,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f117,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f118,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f122,plain,
! [X2] :
( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f126,plain,
! [X0] :
( ~ incident_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f117,f122]) ).
fof(f127,plain,
! [X0] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f126,f117]) ).
fof(f131,plain,
! [X0] :
( ~ distinct_points(X0,sK1)
| apart_point_and_line(sK0,line_connecting(X0,sK1)) ),
inference(resolution,[],[f88,f127]) ).
fof(f136,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f131,f118]) ).
fof(f138,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f136,f87]) ).
fof(f139,plain,
$false,
inference(forward_subsumption_resolution,[],[f138,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO225+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 07:49:32 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.40 Running first-order model finding
% 0.04/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.45 % (2304582)Will run a generic schedule for satisfiability detection.
% 0.04/0.45 % (2304588)% WARNING: option uhcvi not known.
% 0.04/0.45 % (2304592)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4136593447:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.04/0.45 % (2304587)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=190684881_2999 on theBenchmark for (2999ds/0Mi)
% 0.04/0.45 % (2304588)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1736592980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.04/0.45 % (2304589)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1365639469:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.04/0.45 % (2304590)dis+10_1_sil=32000:sp=arity:random_seed=72153117:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.04/0.45 % (2304591)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3485242385:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.04/0.45 % (2304593)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1429420901:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.04/0.45 % (2304592) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2304582-2304592"...
% 0.04/0.45 % (2304590) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2304582-2304590"...
% 0.04/0.45 % (2304592)...printing done.
% 0.04/0.45 % (2304588) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2304582-2304588"...
% 0.04/0.45 % TRYING [1]
% 0.04/0.45 % (2304593) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2304582-2304593"...
% 0.04/0.45 % TRYING [2]
% 0.04/0.45 % (2304591) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2304582-2304591"...
% 0.04/0.45 % (2304592)Refutation found. Thanks to Tanya!
% 0.04/0.45 % SZS status Theorem for theBenchmark
% 0.04/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.04/0.45 % (2304592)------------------------------
% 0.04/0.45 % (2304592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.45 % (2304592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.45 % (2304592)CaDiCaL version: 2.1.3
% 0.04/0.45 % (2304592)Termination reason: Refutation
% 0.04/0.45 % (2304592)Time elapsed: 0.001 s
% 0.04/0.45 % (2304592)Peak memory usage: 12 MB
% 0.04/0.45 % (2304592)Instructions burned: 2 (million)
% 0.04/0.45 % (2304582)Success in time 0.042 s
% 0.04/0.45 % Vampire exiting
%------------------------------------------------------------------------------