%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:53:28 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 15 unt; 5 def)
% Number of atoms : 79 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 33 ~; 34 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
fof(f56,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f59,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
fof(f106,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| x = y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).
fof(f107,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).
fof(f124,definition,
( spl0_1
<=> colinear(x,z,y) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f126,plain,
( ~ colinear(x,z,y)
| spl0_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_2
<=> colinear(y,x,x) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f130,plain,
( ~ colinear(y,x,x)
| spl0_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,definition,
( spl0_3
<=> colinear(x,y,x) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f134,plain,
( ~ colinear(x,y,x)
| spl0_3 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl0_4
<=> colinear(x,x,y) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f138,plain,
( ~ colinear(x,x,y)
| spl0_4 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f107,f136,f132,f128,f124]) ).
fof(f141,definition,
( spl0_5
<=> x = y ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f143,plain,
( x = y
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f106,f136,f132,f128,f141]) ).
fof(f246,plain,
! [X0,X1] : colinear(X0,X1,X1),
inference(resolution,[],[f19,f56]) ).
fof(f247,plain,
! [X0,X1] : colinear(X0,X0,X1),
inference(resolution,[],[f19,f59]) ).
fof(f261,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f246,f130]) ).
fof(f262,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f263,plain,
! [X0,X1] : colinear(X0,X1,X0),
inference(resolution,[],[f20,f56]) ).
fof(f266,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f263,f134]) ).
fof(f267,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f268,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f138,f247]) ).
fof(f269,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f270,plain,
( ~ colinear(x,z,x)
| spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f126,f143]) ).
fof(f271,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f270,f263]) ).
fof(f272,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f271]) ).
cnf(s97,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f139]) ).
cnf(s109,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f144]) ).
cnf(s193,plain,
spl0_2,
inference(sat_conversion,[],[f262]) ).
cnf(s201,plain,
spl0_3,
inference(sat_conversion,[],[f267]) ).
cnf(s202,plain,
spl0_4,
inference(sat_conversion,[],[f269]) ).
cnf(s205,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f272]) ).
cnf(s206,plain,
spl0_5,
inference(rat,[],[s109,s202,s201,s193]) ).
cnf(s207,plain,
spl0_1,
inference(rat,[],[s205,s206]) ).
cnf(s208,plain,
$false,
inference(rat,[],[s97,s202,s201,s193,s207]) ).
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[s208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n003.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 06:50:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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 % (151656)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (151663)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=920210244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.44 % (151663) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-151656-151663"...
% 0.09/0.44 % (151663)...printing done.
% 0.09/0.44 % (151662)% WARNING: option uhcvi not known.
% 0.09/0.44 % (151663)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (151663)------------------------------
% 0.09/0.44 % (151663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (151663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (151663)CaDiCaL version: 2.1.3
% 0.09/0.44 % (151663)Termination reason: Refutation
% 0.09/0.44 % (151663)Time elapsed: 0.003 s
% 0.09/0.44 % (151663)Peak memory usage: 12 MB
% 0.09/0.44 % (151663)Instructions burned: 6 (million)
% 0.09/0.44 % (151656)Success in time 0.03 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------