%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO233+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 14 unt; 2 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 35 ~; 37 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 45 ( 0 sgn 44 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f32,conjecture,
! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
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] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[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] :
( 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,[],[f47]) ).
fof(f89,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f49]) ).
fof(f107,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
! [X0] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f79,f107]) ).
fof(f110,plain,
! [X0,X1] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),X1) ),
inference(resolution,[],[f108,f79]) ).
fof(f122,plain,
! [X0] :
( unequally_directed_lines(X0,reverse_line(reverse_line(sK0)))
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f110,f78]) ).
fof(f165,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[],[f85,f89]) ).
fof(f166,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f165,f89]) ).
fof(f173,plain,
! [X0] :
( ~ unequally_directed_lines(X0,reverse_line(sK0))
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f166,f122]) ).
fof(f183,plain,
! [X0] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(sK0,X0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)) ),
inference(resolution,[],[f173,f110]) ).
fof(f189,plain,
! [X0] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)) ),
inference(duplicate_literal_removal,[],[f183]) ).
fof(f191,definition,
( spl1_3
<=> unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f193,plain,
( unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,definition,
( spl1_4
<=> ! [X0] : unequally_directed_lines(sK0,X0) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f196,plain,
( ! [X0] : unequally_directed_lines(sK0,X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f189,f195,f191]) ).
fof(f199,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0)
| ~ spl1_3 ),
inference(resolution,[],[f193,f166]) ).
fof(f205,plain,
( $false
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f199,f107]) ).
fof(f206,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f209,plain,
( ! [X0] : ~ unequally_directed_lines(sK0,X0)
| ~ spl1_4 ),
inference(resolution,[],[f196,f166]) ).
fof(f216,plain,
( $false
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f209,f196]) ).
fof(f217,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f216]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f197]) ).
cnf(s3,plain,
~ spl1_3,
inference(sat_conversion,[],[f206]) ).
cnf(s6,plain,
~ spl1_4,
inference(sat_conversion,[],[f217]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s3]) ).
fof(f218,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO233+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:49:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (175043)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (175051)dis+10_1_sil=32000:sp=arity:random_seed=468501710:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (175051) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-175043-175051"...
% 0.11/0.45 % (175049)% WARNING: option uhcvi not known.
% 0.11/0.45 % (175051)...printing done.
% 0.11/0.45 % (175051)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (175051)------------------------------
% 0.11/0.45 % (175051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (175051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (175051)CaDiCaL version: 2.1.3
% 0.11/0.45 % (175051)Termination reason: Refutation
% 0.11/0.45 % (175051)Time elapsed: 0.003 s
% 0.11/0.45 % (175051)Peak memory usage: 12 MB
% 0.11/0.45 % (175051)Instructions burned: 5 (million)
% 0.11/0.45 % (175043)Success in time 0.028 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------