%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO225+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 09:54:08 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 53 ( 19 ~; 10 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 21 !; 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(f19,conjecture,
! [X0,X1] :
( ( point(X0)
& point(X1)
& distinct_points(X0,X1) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( ( point(X0)
& point(X1)
& distinct_points(X0,X1) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f27,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f47,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& point(X1)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f48,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& point(X1)
& distinct_points(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
( ! [X2] :
( ( apart_point_and_line(sK0,X2)
| apart_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)],[f48]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f68,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f72,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f74,plain,
! [X0] :
( apart_point_and_line(sK0,line_connecting(X0,sK1))
| ~ distinct_points(X0,sK1) ),
inference(resolution,[],[f57,f72]) ).
fof(f77,plain,
( ~ distinct_points(sK0,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f74,f56]) ).
fof(f78,plain,
~ distinct_points(sK0,sK1),
inference(duplicate_literal_removal,[],[f77]) ).
fof(f79,plain,
$false,
inference(forward_subsumption_resolution,[],[f78,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO225+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:50:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (3227425)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (3227430)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1425723042_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % TRYING [3]
% 0.12/0.46 % TRYING [4]
% 0.12/0.46 % TRYING [5]
% 0.12/0.46 % (3227431)% WARNING: option uhcvi not known.
% 0.12/0.46 % TRYING [6]
% 0.12/0.46 % (3227433)dis+10_1_sil=32000:sp=arity:random_seed=661366741:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (3227431)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1612281523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (3227432)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4119016573:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (3227434)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4058978342:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (3227436)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3769640839:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (3227435)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3980567108:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (3227433) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3227425-3227433"...
% 0.12/0.46 % (3227431) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3227425-3227431"...
% 0.12/0.46 % TRYING [7]
% 0.12/0.46 % (3227436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3227425-3227436"...
% 0.12/0.46 % (3227434) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3227425-3227434"...
% 0.12/0.46 % (3227435) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3227425-3227435"...
% 0.12/0.46 % (3227432) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3227425-3227432"...
% 0.12/0.46 % (3227433)...printing done.
% 0.12/0.46 % (3227431)...printing done.
% 0.12/0.46 % (3227436)...printing done.
% 0.12/0.46 % (3227434)...printing done.
% 0.12/0.46 % (3227435)...printing done.
% 0.12/0.46 % (3227432)...printing done.
% 0.12/0.46 % (3227433)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (3227433)------------------------------
% 0.12/0.46 % (3227433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (3227433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (3227433)CaDiCaL version: 2.1.3
% 0.12/0.46 % (3227433)Termination reason: Refutation
% 0.12/0.46 % (3227433)Time elapsed: 0.002 s
% 0.12/0.46 % (3227433)Peak memory usage: 11 MB
% 0.12/0.46 % (3227433)Instructions burned: 1 (million)
% 0.12/0.46 % (3227425)Success in time 0.043 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------