%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO258+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 : n020.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 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 55 ( 8 unt; 4 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 128 ( 49 ~; 60 |; 12 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 50 ( 0 sgn 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
<=> ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X3,X2)
& before_on_line(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a9_defns) ).
fof(f37,conjecture,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X0,X1,X2,X3)
| ( ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) )
& ( ~ before_on_line(X0,X3,X2)
| ~ before_on_line(X0,X2,X1) ) ) )
& ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X3,X2)
& before_on_line(X0,X2,X1) )
| ~ between_on_line(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X0,X1,X2,X3)
| ( ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) )
& ( ~ before_on_line(X0,X3,X2)
| ~ before_on_line(X0,X2,X1) ) ) )
& ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X3,X2)
& before_on_line(X0,X2,X1) )
| ~ between_on_line(X0,X1,X2,X3) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( ~ between_on_line(sK0,sK3,sK2,sK1)
& between_on_line(sK0,sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f76]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X1)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X1)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X0,X3,X2)
| between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f82]) ).
fof(f133,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f180,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f93,f132]) ).
fof(f182,definition,
( spl4_1
<=> before_on_line(sK0,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f184,plain,
( before_on_line(sK0,sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,definition,
( spl4_2
<=> before_on_line(sK0,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f187,plain,
( ~ before_on_line(sK0,sK2,sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( before_on_line(sK0,sK2,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f180,f186,f182]) ).
fof(f194,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f94,f132]) ).
fof(f196,definition,
( spl4_3
<=> before_on_line(sK0,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f198,plain,
( before_on_line(sK0,sK3,sK2)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f199,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f194,f196,f182]) ).
fof(f204,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f95,f132]) ).
fof(f205,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f96,f132]) ).
fof(f207,definition,
( spl4_4
<=> before_on_line(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f208,plain,
( ~ before_on_line(sK0,sK1,sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f209,plain,
( before_on_line(sK0,sK1,sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f205,f196,f207]) ).
fof(f234,plain,
( ! [X0] :
( ~ before_on_line(sK0,sK2,X0)
| between_on_line(sK0,sK3,sK2,X0) )
| ~ spl4_3 ),
inference(resolution,[],[f198,f98]) ).
fof(f326,plain,
( between_on_line(sK0,sK3,sK2,sK1)
| ~ spl4_2
| ~ spl4_3 ),
inference(resolution,[],[f234,f188]) ).
fof(f328,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f326,f133]) ).
fof(f329,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f333,plain,
( ! [X0] :
( ~ before_on_line(sK0,sK2,X0)
| between_on_line(sK0,X0,sK2,sK1) )
| ~ spl4_4 ),
inference(resolution,[],[f209,f97]) ).
fof(f353,plain,
( between_on_line(sK0,sK3,sK2,sK1)
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f333,f184]) ).
fof(f354,plain,
( $false
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f353,f133]) ).
fof(f355,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f356,plain,
( before_on_line(sK0,sK1,sK2)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f204,f187]) ).
fof(f357,plain,
( $false
| spl4_2
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f356,f208]) ).
fof(f358,plain,
( spl4_2
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f357]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f189]) ).
cnf(s2,plain,
( spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f199]) ).
cnf(s3,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f210]) ).
cnf(s4,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f329]) ).
cnf(s5,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f355]) ).
cnf(s6,plain,
( spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f358]) ).
cnf(s7,plain,
spl4_1,
inference(rat,[],[s4,s1,s2]) ).
cnf(s8,plain,
~ spl4_4,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
spl4_2,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
spl4_3,
inference(rat,[],[s3,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s4,s10,s9]) ).
fof(f359,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO258+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:54:50 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.46 % (3074889)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (3074899)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2268372016:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (3074895)% WARNING: option uhcvi not known.
% 0.17/0.46 % (3074899) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3074889-3074899"...
% 0.17/0.46 % (3074899)...printing done.
% 0.17/0.46 % (3074899)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3074899)------------------------------
% 0.17/0.47 % (3074899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3074899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3074899)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3074899)Termination reason: Refutation
% 0.17/0.47 % (3074899)Time elapsed: 0.004 s
% 0.17/0.47 % (3074899)Peak memory usage: 12 MB
% 0.17/0.47 % (3074899)Instructions burned: 9 (million)
% 0.17/0.47 % (3074889)Success in time 0.036 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------