%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO231+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:54:10 AM UTC 2026
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 18 unt; 1 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 97 ( 45 ~; 39 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 62 ( 0 sgn 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(f14,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f32,conjecture,
! [X0,X1,X2] :
( ( ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X2) )
=> ~ unequally_directed_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X2) )
=> ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f40,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f46,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f47,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f46]) ).
fof(f49,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f70,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f89,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f49]) ).
fof(f107,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f71]) ).
fof(f109,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f71]) ).
fof(f112,plain,
! [X0] : unequally_directed_lines(X0,X0),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f119,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f135,plain,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f136,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f137,plain,
unequally_directed_lines(sK0,sK2),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f138,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X0) ),
inference(resolution,[],[f113,f112]) ).
fof(f141,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sK2)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f113,f137]) ).
fof(f142,plain,
! [X0] :
( ~ unequally_directed_lines(X0,reverse_line(sK1))
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f113,f136]) ).
fof(f171,definition,
( spl3_1
<=> unequally_directed_lines(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f172,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f200,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f119,f89]) ).
fof(f201,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f200,f89]) ).
fof(f202,plain,
unequally_directed_lines(sK1,sK2),
inference(resolution,[],[f201,f135]) ).
fof(f203,plain,
! [X0] :
( unequally_directed_lines(X0,sK1)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f201,f142]) ).
fof(f209,plain,
unequally_directed_lines(sK0,sK1),
inference(resolution,[],[f202,f141]) ).
fof(f213,plain,
spl3_1,
inference(avatar_split_clause,[],[f209,f171]) ).
fof(f214,plain,
( ! [X0] :
( ~ unequally_directed_lines(X0,sK1)
| unequally_directed_lines(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f172,f113]) ).
fof(f299,plain,
( ! [X0] : unequally_directed_lines(sK0,X0)
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f214,f203]) ).
fof(f300,plain,
( ! [X0] : unequally_directed_lines(X0,sK0)
| ~ spl3_1 ),
inference(resolution,[],[f299,f138]) ).
fof(f325,plain,
( ! [X0,X1] :
( ~ unequally_directed_lines(X0,sK0)
| unequally_directed_lines(X1,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f300,f113]) ).
fof(f328,plain,
( ! [X0,X1] : unequally_directed_lines(X1,X0)
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f325,f300]) ).
fof(f351,plain,
( $false
| ~ spl3_1 ),
inference(backward_subsumption_resolution,[],[f135,f328]) ).
fof(f352,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f351]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f213]) ).
cnf(s6,plain,
~ spl3_1,
inference(sat_conversion,[],[f352]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s6]) ).
fof(f358,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO231+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 % Computer : n006.cluster.edu
% 0.09/0.43 % Model : x86_64 x86_64
% 0.09/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.43 % Memory : 8046.5625MB
% 0.09/0.43 % OS : Linux 6.8.0-71-generic
% 0.09/0.43 % CPULimit : 300
% 0.09/0.43 % WCLimit : 300
% 0.09/0.43 % DateTime : Sun Sep 27 07:46:41 UTC 2026
% 0.09/0.43 % CPUTime :
% 0.09/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 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
% 0.15/0.51 % (2662349)Will run a generic schedule for satisfiability detection.
% 0.15/0.51 % (2662360)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=922385879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.51 % (2662355)% WARNING: option uhcvi not known.
% 0.15/0.51 % (2662358)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1812087300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.51 % (2662354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=761989906_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.51 % (2662355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1217331123:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.51 % (2662356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1985393194:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.51 % (2662357)dis+10_1_sil=32000:sp=arity:random_seed=550577656:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.51 % (2662359)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1031804688:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.51 % TRYING [1]
% 0.15/0.51 % TRYING [2]
% 0.15/0.51 % TRYING [3]
% 0.15/0.51 % (2662355) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2662349-2662355"...
% 0.15/0.51 % TRYING [4]
% 0.15/0.51 % (2662355)...printing done.
% 0.15/0.51 % (2662358) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2662349-2662358"...
% 0.15/0.51 % (2662355)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (2662355)------------------------------
% 0.15/0.51 % (2662355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.51 % (2662355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.51 % (2662355)CaDiCaL version: 2.1.3
% 0.15/0.51 % (2662355)Termination reason: Refutation
% 0.15/0.51 % (2662355)Time elapsed: 0.006 s
% 0.15/0.51 % (2662355)Peak memory usage: 12 MB
% 0.15/0.51 % (2662355)Instructions burned: 7 (million)
% 0.15/0.51 % (2662349)Success in time 0.039 s
% 0.15/0.51 % Vampire exiting
%------------------------------------------------------------------------------