%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO258+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:52:16 AM UTC 2026
% Result : Theorem 2.65s 1.26s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 8 unt; 4 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 106 ( 41 ~; 46 |; 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(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/sandbox/benchmark/theBenchmark.p',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/sandbox/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(f39,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f38]) ).
fof(f40,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)],[f39]) ).
fof(f41,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(f42,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,[],[f41]) ).
fof(f43,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f44,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f45,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,[],[f42]) ).
fof(f46,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,[],[f42]) ).
fof(f47,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,[],[f42]) ).
fof(f48,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,[],[f42]) ).
fof(f49,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,[],[f42]) ).
fof(f50,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,[],[f42]) ).
fof(f51,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f43,f45]) ).
fof(f52,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f43,f46]) ).
fof(f53,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f43,f47]) ).
fof(f54,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f43,f48]) ).
fof(f56,definition,
( spl4_1
<=> before_on_line(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f60,definition,
( spl4_2
<=> before_on_line(sK0,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f62,plain,
( before_on_line(sK0,sK3,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f54,f60,f56]) ).
fof(f65,definition,
( spl4_3
<=> before_on_line(sK0,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f67,plain,
( before_on_line(sK0,sK2,sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f53,f65,f56]) ).
fof(f70,definition,
( spl4_4
<=> before_on_line(sK0,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f73,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f52,f60,f70]) ).
fof(f74,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f51,f65,f70]) ).
fof(f75,plain,
( ~ before_on_line(sK0,sK1,sK2)
| ~ before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f44,f49]) ).
fof(f76,plain,
( ~ before_on_line(sK0,sK3,sK2)
| ~ before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f44,f50]) ).
fof(f77,plain,
( ~ before_on_line(sK0,sK2,sK1)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f76,f62]) ).
fof(f78,plain,
( ~ spl4_4
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f75,f56,f70]) ).
fof(f79,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f77,f67]) ).
fof(f80,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f79]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f63]) ).
cnf(s2,plain,
( spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f68]) ).
cnf(s3,plain,
( spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f73]) ).
cnf(s4,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f74]) ).
cnf(s5,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f78]) ).
cnf(s6,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f80]) ).
cnf(s7,plain,
spl4_1,
inference(rat,[],[s6,s1,s2]) ).
cnf(s8,plain,
~ spl4_4,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
spl4_3,
inference(rat,[],[s4,s8]) ).
cnf(s10,plain,
spl4_2,
inference(rat,[],[s3,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s6,s9,s10]) ).
fof(f81,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.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 07:54:00 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/1.26 % (2078258)Detected formulas, will run a generic FOF schedule.
% 2.65/1.26 % (2078266)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=712499234:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.26 % (2078266)First to succeed.
% 2.65/1.26 % (2078266)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2078258"
% 2.65/1.26 % (2078263)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2126945387:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.26 % (2078264)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2109154927:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.26 % (2078265)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1062150750:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.26 % (2078267)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1382918104:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.26 % (2078269)dis-21_1_sil=8000:lcm=predicate:random_seed=218557705:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.65/1.26 % (2078268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2979513971:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.26 % (2078267)Also succeeded, but the first one will report.
% 2.65/1.26 % (2078269)Also succeeded, but the first one will report.
% 2.65/1.26 % (2078268)Also succeeded, but the first one will report.
% 2.65/1.26 % (2078266)Refutation found. Thanks to Tanya!
% 2.65/1.26 % SZS status Theorem for theBenchmark
% 2.65/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.26 % (2078266)------------------------------
% 2.65/1.26 % (2078266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.26 % (2078266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.26 % (2078266)CaDiCaL version: 2.1.3
% 2.65/1.26 % (2078266)Termination reason: Refutation
% 2.65/1.26 % (2078266)Time elapsed: 0.002 s
% 2.65/1.26 % (2078266)Peak memory usage: 89 MB
% 2.65/1.26 % (2078266)Instructions burned: 2 (million)
% 2.65/1.26 % (2078266)------------------------------
% 2.65/1.26 % (2078266)------------------------------
% 2.65/1.26 % (2078258)Success in time 0.303 s
% 2.65/1.26 % Vampire exiting
%------------------------------------------------------------------------------