%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO036-3 : 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 : n002.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 3 def)
% Number of atoms : 45 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
fof(f51,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f65,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/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
fof(f77,definition,
( spl0_1
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( lower_dimension_point_1 = lower_dimension_point_3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl0_2
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f83,plain,
( lower_dimension_point_2 = lower_dimension_point_3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl0_3
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f65,f85,f81,f77]) ).
fof(f89,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f10,f83]) ).
fof(f92,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f51,f89]) ).
fof(f93,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f96,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f12,f87]) ).
fof(f97,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f96,f51]) ).
fof(f98,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f102,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f11,f79]) ).
fof(f103,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f102,f51]) ).
fof(f104,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f103]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f93]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f104]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s2,s5]) ).
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % 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 06:43:41 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.47 % (3185209)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3185214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2239341947_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % (3185215)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (3185215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2569798125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3185216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3727463051:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3185217)dis+10_1_sil=32000:sp=arity:random_seed=2131150352:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3185219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2994249630:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3185218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=659526283:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3185220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=172155722:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (3185217) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3185209-3185217"...
% 0.17/0.47 % (3185215) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3185209-3185215"...
% 0.17/0.47 % (3185216) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3185209-3185216"...
% 0.17/0.47 % (3185219) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3185209-3185219"...
% 0.17/0.47 % (3185218) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3185209-3185218"...
% 0.17/0.47 % (3185215)...printing done.
% 0.17/0.47 % (3185217)...printing done.
% 0.17/0.47 % (3185220) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3185209-3185220"...
% 0.17/0.47 % (3185216)...printing done.
% 0.17/0.47 % (3185219)...printing done.
% 0.17/0.47 % (3185217)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3185217)------------------------------
% 0.17/0.47 % (3185217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3185217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3185217)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3185217)Termination reason: Refutation
% 0.17/0.47 % (3185217)Time elapsed: 0.002 s
% 0.17/0.47 % (3185217)Peak memory usage: 12 MB
% 0.17/0.47 % (3185217)Instructions burned: 2 (million)
% 0.17/0.47 % (3185209)Success in time 0.043 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------