%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO036-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:53:21 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.47s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 15 unt; 3 def)
% Number of atoms : 50 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
fof(f19,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
fof(f21,definition,
( spl0_1
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f23,plain,
( lower_dimension_point_1 = lower_dimension_point_3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f25,definition,
( spl0_2
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f27,plain,
( lower_dimension_point_2 = lower_dimension_point_3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f29,definition,
( spl0_3
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f31,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f29,f25,f21]) ).
fof(f33,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f10,f27]) ).
fof(f37,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f39,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f37]) ).
fof(f42,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f39,f33]) ).
fof(f44,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f47,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f12,f31]) ).
fof(f48,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f47,f39]) ).
fof(f49,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f53,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f11,f23]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f53,f39]) ).
fof(f55,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f54]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f44]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f49]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f55]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s2,s5]) ).
fof(f56,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:40:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.11/0.47 % (585548)Will run a generic schedule for satisfiability detection.
% 0.11/0.47 % (585556)dis+10_1_sil=32000:sp=arity:random_seed=4196645282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.47 % (585556) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-585548-585556"...
% 0.11/0.47 % (585556)...printing done.
% 0.11/0.47 % (585554)% WARNING: option uhcvi not known.
% 0.11/0.47 % (585556)Refutation found. Thanks to Tanya!
% 0.11/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.47 % (585556)------------------------------
% 0.11/0.47 % (585556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.47 % (585556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.47 % (585556)CaDiCaL version: 2.1.3
% 0.11/0.47 % (585556)Termination reason: Refutation
% 0.11/0.47 % (585556)Time elapsed: 0.002 s
% 0.11/0.47 % (585556)Peak memory usage: 12 MB
% 0.11/0.47 % (585556)Instructions burned: 2 (million)
% 0.11/0.47 % (585548)Success in time 0.032 s
% 0.11/0.47 % Vampire exiting
%------------------------------------------------------------------------------