%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO247+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:54:14 AM UTC 2026
% Result : Theorem 0.06s 0.34s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 41 ( 7 ~; 1 |; 31 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 18 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( left_apart_point(X0,X4)
& left_apart_point(X0,X5)
& right_apart_point(X1,X4)
& right_apart_point(X1,X5)
& left_apart_point(X2,X4)
& right_apart_point(X2,X5)
& right_apart_point(X3,X4)
& left_apart_point(X3,X5) )
=> convergent_lines(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( left_apart_point(X0,X4)
& left_apart_point(X0,X5)
& right_apart_point(X1,X4)
& right_apart_point(X1,X5)
& left_apart_point(X2,X4)
& right_apart_point(X2,X5)
& right_apart_point(X3,X4)
& left_apart_point(X3,X5) )
=> convergent_lines(X4,X5) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f58,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f81,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ convergent_lines(X4,X5)
& left_apart_point(X0,X4)
& left_apart_point(X0,X5)
& right_apart_point(X1,X4)
& right_apart_point(X1,X5)
& left_apart_point(X2,X4)
& right_apart_point(X2,X5)
& right_apart_point(X3,X4)
& left_apart_point(X3,X5) ),
inference(ennf_transformation,[],[f38]) ).
fof(f82,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ convergent_lines(X4,X5)
& left_apart_point(X0,X4)
& left_apart_point(X0,X5)
& right_apart_point(X1,X4)
& right_apart_point(X1,X5)
& left_apart_point(X2,X4)
& right_apart_point(X2,X5)
& right_apart_point(X3,X4)
& left_apart_point(X3,X5) ),
inference(flattening,[],[f81]) ).
fof(f103,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f58]) ).
fof(f123,plain,
left_apart_point(sK3,sK5),
inference(cnf_transformation,[],[f82]) ).
fof(f162,plain,
$false,
inference(backward_subsumption_resolution,[],[f123,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO247+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 07:51:05 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34 % (2043456)Will run a generic schedule for satisfiability detection.
% 0.06/0.34 % (2043462)% WARNING: option uhcvi not known.
% 0.06/0.34 % (2043462)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4169799298:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.06/0.34 % (2043463)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2087140199:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.06/0.34 % (2043464)dis+10_1_sil=32000:sp=arity:random_seed=669680269:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.06/0.34 % (2043461)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3355132936_3000 on theBenchmark for (3000ds/0Mi)
% 0.06/0.34 % (2043466)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2129781955:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.06/0.34 % (2043467)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1627080268:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.06/0.34 % (2043465)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1188861110:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.06/0.34 % (2043464) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043464"...
% 0.06/0.34 % (2043462) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043462"...
% 0.06/0.34 % (2043463) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043463"...
% 0.06/0.34 % (2043466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043466"...
% 0.06/0.34 % (2043467) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043467"...
% 0.06/0.34 % (2043462)...printing done.
% 0.06/0.34 % (2043464)...printing done.
% 0.06/0.34 % TRYING [1]
% 0.06/0.34 % (2043465) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043465"...
% 0.06/0.34 % (2043466)...printing done.
% 0.06/0.34 % (2043463)...printing done.
% 0.06/0.34 % (2043461) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2043456-2043461"...
% 0.06/0.34 % (2043467)...printing done.
% 0.06/0.34 % (2043462)Refutation found. Thanks to Tanya!
% 0.06/0.34 % SZS status Theorem for theBenchmark
% 0.06/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.34 % (2043462)------------------------------
% 0.06/0.34 % (2043462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.34 % (2043462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.34 % (2043462)CaDiCaL version: 2.1.3
% 0.06/0.34 % (2043462)Termination reason: Refutation
% 0.06/0.34 % (2043462)Time elapsed: 0.001 s
% 0.06/0.34 % (2043462)Peak memory usage: 11 MB
% 0.06/0.34 % (2043462)Instructions burned: 1 (million)
% 0.06/0.34 % (2043456)Success in time 0.014 s
% 0.06/0.34 % Vampire exiting
%------------------------------------------------------------------------------