%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO258+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 : 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 09:54:17 AM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 8 unt; 4 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 111 ( 44 ~; 48 |; 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 : 48 ( 0 sgn 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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/GEO007+0.ax',bet_def) ).
fof(f32,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(f33,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)],[f32]) ).
fof(f72,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f75,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,[],[f5]) ).
fof(f76,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,[],[f75]) ).
fof(f77,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)],[f72]) ).
fof(f87,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,[],[f76]) ).
fof(f88,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,[],[f76]) ).
fof(f89,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,[],[f76]) ).
fof(f90,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,[],[f76]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X3,X2)
| ~ before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f77]) ).
fof(f127,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f87,f126]) ).
fof(f142,definition,
( spl4_1
<=> before_on_line(sK0,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f144,plain,
( before_on_line(sK0,sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl4_2
<=> before_on_line(sK0,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f148,plain,
( before_on_line(sK0,sK2,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f140,f146,f142]) ).
fof(f151,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f88,f126]) ).
fof(f153,definition,
( spl4_3
<=> before_on_line(sK0,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f155,plain,
( before_on_line(sK0,sK3,sK2)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f151,f153,f142]) ).
fof(f158,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f89,f126]) ).
fof(f160,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f90,f126]) ).
fof(f162,definition,
( spl4_4
<=> before_on_line(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f165,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f160,f153,f162]) ).
fof(f167,plain,
( ~ before_on_line(sK0,sK1,sK2)
| ~ before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f91,f127]) ).
fof(f172,plain,
( ~ before_on_line(sK0,sK1,sK2)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f167,f144]) ).
fof(f173,plain,
( ~ spl4_4
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f172,f142,f162]) ).
fof(f175,plain,
( ~ before_on_line(sK0,sK3,sK2)
| ~ before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f92,f127]) ).
fof(f180,plain,
( ~ before_on_line(sK0,sK2,sK1)
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f175,f155]) ).
fof(f181,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f180,f148]) ).
fof(f182,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f181]) ).
fof(f183,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f158,f146,f162]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f149]) ).
cnf(s2,plain,
( spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f156]) ).
cnf(s3,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f165]) ).
cnf(s4,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f173]) ).
cnf(s5,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f182]) ).
cnf(s6,plain,
( spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f183]) ).
cnf(s8,plain,
spl4_1,
inference(rat,[],[s5,s1,s2]) ).
cnf(s9,plain,
~ spl4_4,
inference(rat,[],[s4,s8]) ).
cnf(s10,plain,
spl4_2,
inference(rat,[],[s6,s9]) ).
cnf(s11,plain,
spl4_3,
inference(rat,[],[s3,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s11,s10]) ).
fof(f185,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 07:53:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (3185481)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3185486)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=955887715_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (3185487)% WARNING: option uhcvi not known.
% 0.10/0.45 % (3185489)dis+10_1_sil=32000:sp=arity:random_seed=1578826425:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3185488)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3704215513:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3185490)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=195582957:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3185491)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1941715732:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (3185492)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1181379897:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % TRYING [5]
% 0.10/0.45 % (3185487)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2322637108:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (3185489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3185481-3185489"...
% 0.10/0.45 % (3185491) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3185481-3185491"...
% 0.10/0.45 % (3185489)...printing done.
% 0.10/0.45 % (3185491)...printing done.
% 0.10/0.45 % (3185489)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3185489)------------------------------
% 0.10/0.45 % (3185489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3185489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3185489)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3185489)Termination reason: Refutation
% 0.10/0.45 % (3185489)Time elapsed: 0.004 s
% 0.10/0.45 % (3185489)Peak memory usage: 12 MB
% 0.10/0.45 % (3185489)Instructions burned: 3 (million)
% 0.10/0.45 % (3185481)Success in time 0.038 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------