%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO037-3 : 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 : n017.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 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 12 unt; 3 def)
% Number of atoms : 68 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 31 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 40 !; 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(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(f21,axiom,
! [X2,X3,X0,X1] :
( equidistant(X2,X3,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f28,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X1,X4,X5)
| ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
fof(f31,axiom,
! [X2,X3,X0,X1,X4] :
( X0 != extension(X1,X2,X3,X4)
| between(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b0) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] :
( extension(X1,X2,X3,X4) != X0
| between(X1,X2,X0) ),
inference(reorient_equations,[],[f31]) ).
fof(f65,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_1) ).
fof(f68,negated_conjecture,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lengthen) ).
fof(f76,plain,
! [X2,X3,X1,X4] : between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_resolution,[],[f32]) ).
fof(f93,plain,
! [X2,X3,X1,X4] : ~ between(X1,X2,extension(X1,X2,X3,X4)),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f112,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f114,definition,
( spl0_1
<=> between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f116,plain,
( between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl0_2
<=> equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f120,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| spl0_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl0_3
<=> v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f124,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f112,f122,f118,f114]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| X1 = X2 ),
inference(resolution,[],[f21,f3]) ).
fof(f470,plain,
( ! [X0,X1] :
( ~ equidistant(X0,X1,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),X0,X1) )
| spl0_2 ),
inference(resolution,[],[f28,f120]) ).
fof(f525,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| spl0_2 ),
inference(resolution,[],[f470,f5]) ).
fof(f546,plain,
( ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| spl0_2 ),
inference(resolution,[],[f525,f21]) ).
fof(f554,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f546,f5]) ).
fof(f564,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f565,plain,
( equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_3 ),
inference(superposition,[],[f5,f124]) ).
fof(f578,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_3 ),
inference(resolution,[],[f565,f142]) ).
fof(f579,plain,
( lower_dimension_point_1 != lower_dimension_point_1
| ~ spl0_3 ),
inference(superposition,[],[f65,f578]) ).
fof(f586,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f579]) ).
fof(f587,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f588,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f116,f93]) ).
fof(f590,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f588]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
spl0_2,
inference(sat_conversion,[],[f564]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f587]) ).
cnf(s8,plain,
~ spl0_1,
inference(sat_conversion,[],[f590]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s7,s6,s8]) ).
fof(f591,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO037-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n017.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 06:35:35 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.48 % (2193195)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (2193205)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1074769640:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (2193201)% WARNING: option uhcvi not known.
% 0.16/0.48 % (2193200)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1124150911_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (2193201)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1362668548:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (2193204)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1587499799:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (2193202)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=231097038:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (2193203)dis+10_1_sil=32000:sp=arity:random_seed=2615543806:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (2193206)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3876551136:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % Detected minimum model sizes of [3]
% 0.16/0.48 % Detected maximum model sizes of [max]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (2193206) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2193195-2193206"...
% 0.16/0.48 % (2193206)...printing done.
% 0.16/0.48 % (2193206)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (2193206)------------------------------
% 0.16/0.48 % (2193206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (2193206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (2193206)CaDiCaL version: 2.1.3
% 0.16/0.48 % (2193206)Termination reason: Refutation
% 0.16/0.48 % (2193206)Time elapsed: 0.015 s
% 0.16/0.48 % (2193206)Peak memory usage: 12 MB
% 0.16/0.48 % (2193206)Instructions burned: 21 (million)
% 0.16/0.48 % (2193195)Success in time 0.051 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------