%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO266+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:54:19 AM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 8 unt; 2 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 130 ( 58 ~; 60 |; 2 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 59 ( 0 sgn 57 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(f15,axiom,
! [X0] : equally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
fof(f16,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/GEO009+0.ax',ax6_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(f19,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/GEO009+0.ax',ax9_basics) ).
fof(f21,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
fof(f37,conjecture,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_opposite_lines(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_opposite_lines(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f49,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f50,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f49]) ).
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(ennf_transformation,[],[f19]) ).
fof(f54,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,[],[f53]) ).
fof(f56,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f78,plain,
? [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<~> unequally_directed_opposite_lines(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f79,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f89,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f95,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f96,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,[],[f54]) ).
fof(f100,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f118,plain,
( unequally_directed_opposite_lines(sK1,sK0)
| unequally_directed_opposite_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f119,plain,
( ~ unequally_directed_opposite_lines(sK1,sK0)
| ~ unequally_directed_opposite_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f121,definition,
( spl2_1
<=> unequally_directed_opposite_lines(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f122,plain,
( ~ unequally_directed_opposite_lines(sK0,sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( unequally_directed_opposite_lines(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl2_2
<=> unequally_directed_opposite_lines(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f126,plain,
( ~ unequally_directed_opposite_lines(sK1,sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( unequally_directed_opposite_lines(sK1,sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f118,f125,f121]) ).
fof(f129,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f119,f125,f121]) ).
fof(f131,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f96,f100]) ).
fof(f132,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(forward_subsumption_resolution,[],[f131,f100]) ).
fof(f133,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f82,f89]) ).
fof(f135,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| spl2_1 ),
inference(resolution,[],[f79,f122]) ).
fof(f136,plain,
( unequally_directed_lines(sK1,reverse_line(sK0))
| ~ spl2_2 ),
inference(resolution,[],[f80,f127]) ).
fof(f138,plain,
( unequally_directed_lines(sK0,sK1)
| spl2_1 ),
inference(resolution,[],[f95,f135]) ).
fof(f141,plain,
( ~ unequally_directed_lines(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f132,f136]) ).
fof(f185,plain,
( ! [X0] :
( ~ unequally_directed_lines(X0,sK1)
| unequally_directed_lines(X0,sK0) )
| ~ spl2_2 ),
inference(resolution,[],[f90,f141]) ).
fof(f194,plain,
( unequally_directed_lines(sK0,sK0)
| spl2_1
| ~ spl2_2 ),
inference(resolution,[],[f185,f138]) ).
fof(f199,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f194,f133]) ).
fof(f200,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f201,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| ~ spl2_1 ),
inference(resolution,[],[f123,f80]) ).
fof(f202,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK0))
| spl2_2 ),
inference(resolution,[],[f126,f79]) ).
fof(f206,plain,
( ~ unequally_directed_lines(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f201,f132]) ).
fof(f212,plain,
( ! [X0] :
( unequally_directed_lines(X0,sK1)
| ~ unequally_directed_lines(X0,sK0) )
| ~ spl2_1 ),
inference(resolution,[],[f206,f90]) ).
fof(f213,plain,
( unequally_directed_lines(sK1,sK0)
| spl2_2 ),
inference(resolution,[],[f202,f95]) ).
fof(f264,plain,
( ~ unequally_directed_lines(sK1,sK0)
| ~ spl2_1 ),
inference(resolution,[],[f212,f133]) ).
fof(f268,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f264,f213]) ).
fof(f269,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f268]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f128]) ).
cnf(s2,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f129]) ).
cnf(s3,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f200]) ).
cnf(s4,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f269]) ).
cnf(s5,plain,
spl2_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl2_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f270,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO266+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:57:37 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.09/0.44 % (3186721)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (3186730)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=382572820:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.44 % (3186730) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3186721-3186730"...
% 0.09/0.44 % (3186727)% WARNING: option uhcvi not known.
% 0.09/0.44 % (3186730)...printing done.
% 0.09/0.44 % (3186730)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (3186730)------------------------------
% 0.09/0.44 % (3186730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (3186730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (3186730)CaDiCaL version: 2.1.3
% 0.09/0.44 % (3186730)Termination reason: Refutation
% 0.09/0.44 % (3186730)Time elapsed: 0.004 s
% 0.09/0.44 % (3186730)Peak memory usage: 12 MB
% 0.09/0.44 % (3186730)Instructions burned: 9 (million)
% 0.09/0.44 % (3186721)Success in time 0.028 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------