%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO011-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
fof(f14,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f15,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f16,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f23,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
fof(f27,plain,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2)
| ~ between(X1,X2,X0)
| ~ between(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f33,plain,
between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f34,plain,
between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f35,plain,
between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f42,plain,
~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f47,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,[],[f27,f42]) ).
fof(f51,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(forward_subsumption_resolution,[],[f47,f33]) ).
fof(f52,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(forward_subsumption_resolution,[],[f51,f34]) ).
fof(f53,plain,
$false,
inference(forward_subsumption_resolution,[],[f52,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO011-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n018.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 06:37:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (1969387)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (1969393)% WARNING: option uhcvi not known.
% 0.10/0.44 % (1969394)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1200770765:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (1969392)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2580002613_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (1969395)dis+10_1_sil=32000:sp=arity:random_seed=2710145371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (1969396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2338934230:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (1969397)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1115595016:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (1969398)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3270828778:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (1969393)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2224853833:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % (1969395) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1969387-1969395"...
% 0.10/0.44 % (1969397) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1969387-1969397"...
% 0.10/0.44 % (1969396) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1969387-1969396"...
% 0.10/0.44 % (1969393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1969387-1969393"...
% 0.10/0.44 % (1969398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1969387-1969398"...
% 0.10/0.44 % (1969393)...printing done.
% 0.10/0.44 % (1969395)...printing done.
% 0.10/0.44 % (1969397)...printing done.
% 0.10/0.44 % (1969396)...printing done.
% 0.10/0.44 % TRYING [1]
% 0.10/0.44 % (1969393)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (1969393)------------------------------
% 0.10/0.44 % (1969393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (1969393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (1969393)CaDiCaL version: 2.1.3
% 0.10/0.44 % (1969393)Termination reason: Refutation
% 0.10/0.44 % (1969393)Time elapsed: 0.001 s
% 0.10/0.44 % (1969393)Peak memory usage: 11 MB
% 0.10/0.44 % (1969393)Instructions burned: 1 (million)
% 0.10/0.44 % (1969387)Success in time 0.038 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------