%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO259+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 : n014.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 09:54:17 AM UTC 2026
% Result : Theorem 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 14 unt; 1 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 143 ( 50 ~; 61 |; 26 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 71 !; 8 ?)
% 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(f13,axiom,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
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(f25,axiom,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( ( line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) )
=> ~ ( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X2,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) )
=> ~ ( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X2,X1,X3) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f46,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f47,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f51,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,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(f53,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,[],[f52]) ).
fof(f55,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X2,X1,X3)
& line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
& between_on_line(X0,X2,X1,X3)
& line(X0)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& distinct_points(X1,X2) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( between_on_line(sK0,sK1,sK2,sK3)
& between_on_line(sK0,sK2,sK1,sK3)
& line(sK0)
& distinct_points(sK1,sK3)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f77]) ).
fof(f95,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f101,plain,
! [X0,X1] :
( ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f102,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(cnf_transformation,[],[f53]) ).
fof(f105,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f55]) ).
fof(f106,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f55]) ).
fof(f117,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f127,plain,
line(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f131,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f102,f106]) ).
fof(f132,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f131,f105]) ).
fof(f160,plain,
! [X0] :
( ~ line(X0)
| unequally_directed_lines(sK0,X0)
| unequally_directed_lines(sK0,reverse_line(X0)) ),
inference(resolution,[],[f101,f127]) ).
fof(f214,plain,
( unequally_directed_lines(sK0,sK0)
| unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(resolution,[],[f160,f127]) ).
fof(f245,definition,
( spl4_11
<=> unequally_directed_lines(sK0,reverse_line(sK0)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f247,plain,
( unequally_directed_lines(sK0,reverse_line(sK0))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,plain,
unequally_directed_lines(sK0,reverse_line(sK0)),
inference(forward_subsumption_resolution,[],[f214,f95]) ).
fof(f250,plain,
spl4_11,
inference(avatar_split_clause,[],[f249,f245]) ).
fof(f259,plain,
( ! [X0] :
( unequally_directed_lines(reverse_line(sK0),X0)
| unequally_directed_lines(sK0,X0) )
| ~ spl4_11 ),
inference(resolution,[],[f247,f96]) ).
fof(f386,plain,
( ! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(reverse_line(sK0),X1)
| unequally_directed_lines(sK0,X0) )
| ~ spl4_11 ),
inference(resolution,[],[f259,f96]) ).
fof(f393,plain,
( ! [X0] :
( ~ unequally_directed_lines(reverse_line(sK0),X0)
| unequally_directed_lines(sK0,reverse_line(X0)) )
| ~ spl4_11 ),
inference(resolution,[],[f259,f132]) ).
fof(f397,plain,
( ! [X0] :
( unequally_directed_lines(sK0,reverse_line(X0))
| unequally_directed_lines(sK0,X0) )
| ~ spl4_11 ),
inference(resolution,[],[f393,f259]) ).
fof(f422,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(sK0,X1) )
| ~ spl4_11 ),
inference(resolution,[],[f397,f96]) ).
fof(f794,plain,
( ! [X0,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(sK0,X1)
| unequally_directed_lines(sK0,reverse_line(X0)) )
| ~ spl4_11 ),
inference(resolution,[],[f386,f393]) ).
fof(f1590,plain,
( ! [X0] :
( unequally_directed_lines(reverse_line(X0),X0)
| unequally_directed_lines(sK0,reverse_line(X0)) )
| ~ spl4_11 ),
inference(factoring,[],[f794]) ).
fof(f1615,plain,
( ! [X0] :
( ~ unequally_directed_lines(sK0,X0)
| unequally_directed_lines(reverse_line(X0),X0) )
| ~ spl4_11 ),
inference(resolution,[],[f1590,f132]) ).
fof(f1998,plain,
( ! [X0] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(reverse_line(X0),X0) )
| ~ spl4_11 ),
inference(factoring,[],[f422]) ).
fof(f2000,plain,
( ! [X0] : unequally_directed_lines(reverse_line(X0),X0)
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f1998,f1615]) ).
fof(f2014,plain,
( ! [X0,X1] :
( unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(X0,X1) )
| ~ spl4_11 ),
inference(resolution,[],[f2000,f96]) ).
fof(f2043,plain,
( ! [X0] : unequally_directed_lines(X0,reverse_line(X0))
| ~ spl4_11 ),
inference(resolution,[],[f2014,f95]) ).
fof(f2074,plain,
( $false
| ~ spl4_11 ),
inference(resolution,[],[f2043,f117]) ).
fof(f2083,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f2074]) ).
cnf(s10,plain,
spl4_11,
inference(sat_conversion,[],[f250]) ).
cnf(s73,plain,
~ spl4_11,
inference(sat_conversion,[],[f2083]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s10,s73]) ).
fof(f2086,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO259+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n014.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 07:54:17 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.53 % (483074)Will run a generic schedule for satisfiability detection.
% 0.17/0.53 % (483085)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1002274053:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.53 % (483080)% WARNING: option uhcvi not known.
% 0.17/0.53 % (483079)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4034289712_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.53 % (483080)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3243692482:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.53 % (483081)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=174731986:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.53 % (483082)dis+10_1_sil=32000:sp=arity:random_seed=1071393089:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.53 % (483083)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3869931448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.53 % (483084)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2315498389:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.53 % TRYING [1]
% 0.17/0.53 % TRYING [2]
% 0.17/0.53 % TRYING [3]
% 0.17/0.53 % TRYING [4]
% 0.17/0.53 % TRYING [5]
% 0.17/0.53 % TRYING [6]
% 0.17/0.53 % (483084) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-483074-483084"...
% 0.17/0.53 % (483084)...printing done.
% 0.17/0.53 % (483084)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Theorem for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (483084)------------------------------
% 0.17/0.53 % (483084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.53 % (483084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.53 % (483084)CaDiCaL version: 2.1.3
% 0.17/0.53 % (483084)Termination reason: Refutation
% 0.17/0.53 % (483084)Time elapsed: 0.042 s
% 0.17/0.53 % (483084)Peak memory usage: 13 MB
% 0.17/0.53 % (483084)Instructions burned: 72 (million)
% 0.17/0.53 % (483074)Success in time 0.085 s
% 0.17/0.53 % Vampire exiting
%------------------------------------------------------------------------------