%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO011-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:53:15 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 14 unt; 2 def)
% Number of atoms : 80 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 42 ~; 38 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
fof(f15,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension1) ).
fof(f16,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension2) ).
fof(f17,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X0,X2)
| between(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity1) ).
fof(f25,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f32,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f13,f30]) ).
fof(f41,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(resolution,[],[f21,f25]) ).
fof(f44,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(forward_subsumption_resolution,[],[f41,f15]) ).
fof(f46,definition,
( spl0_1
<=> between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f48,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl0_2
<=> between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44,f50,f46]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X1)
| ~ between(X0,X1,X2)
| outer_pasch(X3,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f212,plain,
( ! [X0] :
( ~ between(lower_dimension_point_2,lower_dimension_point_3,X0)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,X0,lower_dimension_point_3) )
| ~ spl0_2 ),
inference(resolution,[],[f58,f52]) ).
fof(f217,plain,
( lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ spl0_2 ),
inference(resolution,[],[f212,f32]) ).
fof(f224,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_2 ),
inference(superposition,[],[f8,f217]) ).
fof(f226,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f224,f17]) ).
fof(f227,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f226,f32]) ).
fof(f228,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f227,f52]) ).
fof(f229,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f253,plain,
( ! [X0] :
( ~ between(lower_dimension_point_1,lower_dimension_point_2,X0)
| lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,X0,lower_dimension_point_2) )
| ~ spl0_1 ),
inference(resolution,[],[f48,f58]) ).
fof(f281,plain,
( lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ spl0_1 ),
inference(resolution,[],[f253,f32]) ).
fof(f288,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_1 ),
inference(superposition,[],[f8,f281]) ).
fof(f298,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f288,f16]) ).
fof(f302,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f298,f32]) ).
fof(f304,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f302,f48]) ).
fof(f305,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f304]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f229]) ).
cnf(s18,plain,
~ spl0_1,
inference(sat_conversion,[],[f305]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s6,s18]) ).
fof(f306,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:35:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.49 % (3627686)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (3627704)% WARNING: option uhcvi not known.
% 0.18/0.49 % (3627707)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2163854083:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (3627704)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4096405135:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (3627703)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=911492602_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % (3627705)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=603468708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % (3627706)dis+10_1_sil=32000:sp=arity:random_seed=3722986798:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % TRYING [3]
% 0.18/0.49 % (3627708)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=217079212:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (3627709)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=286191277:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % (3627706) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3627686-3627706"...
% 0.18/0.49 % (3627706)...printing done.
% 0.18/0.49 % (3627708) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3627686-3627708"...
% 0.18/0.49 % (3627706)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (3627706)------------------------------
% 0.18/0.49 % (3627706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (3627706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (3627706)CaDiCaL version: 2.1.3
% 0.18/0.49 % (3627706)Termination reason: Refutation
% 0.18/0.49 % (3627706)Time elapsed: 0.011 s
% 0.18/0.49 % (3627706)Peak memory usage: 12 MB
% 0.18/0.49 % (3627706)Instructions burned: 14 (million)
% 0.18/0.49 % (3627686)Success in time 0.059 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------