%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:53:25 AM UTC 2026
% Result : Unsatisfiable 0.45s 0.51s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 20 unt; 2 def)
% Number of atoms : 96 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 49 ~; 46 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f30,axiom,
! [X2,X0,X1] : X0 = extension(X1,X0,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).
fof(f31,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(reorient_equations,[],[f30]) ).
fof(f44,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X1,X2,X1,X3)
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| X0 = X1
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
fof(f52,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f62,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X2,X3)
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
fof(f63,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X2,X3)
| ~ between(X0,X1,X2)
| between(X0,X1,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).
fof(f70,plain,
! [X0,X1] : extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) != X0,
inference(reorient_equations,[],[f69]) ).
fof(f78,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X2,X1,X2,X3)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X0,X1,X2)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15) ).
fof(f92,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f93,axiom,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).
fof(f94,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).
fof(f116,plain,
between(w,v,u),
inference(resolution,[],[f54,f92]) ).
fof(f119,plain,
! [X2,X3,X0,X1] : between(extension(X0,X1,X2,X3),X1,X0),
inference(resolution,[],[f54,f4]) ).
fof(f219,definition,
( spl0_1
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f221,plain,
( u = v
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f330,plain,
! [X0] :
( ~ between(X0,w,v)
| between(X0,v,u)
| v = w ),
inference(resolution,[],[f62,f116]) ).
fof(f331,plain,
! [X0] :
( ~ between(X0,w,v)
| between(X0,v,u) ),
inference(forward_subsumption_resolution,[],[f330,f94]) ).
fof(f337,plain,
! [X0,X1] : between(extension(v,w,X0,X1),v,u),
inference(resolution,[],[f331,f119]) ).
fof(f361,plain,
! [X0,X1] : between(u,v,extension(v,w,X0,X1)),
inference(resolution,[],[f337,f54]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ between(X0,u,v)
| between(X0,u,extension(v,w,X1,X2))
| u = v ),
inference(resolution,[],[f361,f63]) ).
fof(f471,definition,
( spl0_10
<=> ! [X2,X0,X1] :
( ~ between(X0,u,v)
| between(X0,u,extension(v,w,X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( between(X0,u,extension(v,w,X1,X2))
| ~ between(X0,u,v) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f461,f471,f219]) ).
fof(f543,plain,
! [X0] :
( ~ equidistant(X0,v,X0,w)
| ~ between(X0,v,u)
| v = w ),
inference(resolution,[],[f78,f93]) ).
fof(f546,plain,
! [X0] :
( ~ equidistant(X0,v,X0,w)
| ~ between(X0,v,u) ),
inference(forward_subsumption_resolution,[],[f543,f94]) ).
fof(f556,plain,
! [X0] :
( ~ between(X0,u,w)
| ~ between(X0,u,v)
| u = X0
| v = w ),
inference(resolution,[],[f44,f93]) ).
fof(f562,plain,
! [X0] :
( ~ between(X0,u,w)
| ~ between(X0,u,v)
| u = X0 ),
inference(forward_subsumption_resolution,[],[f556,f94]) ).
fof(f563,plain,
~ between(u,v,u),
inference(resolution,[],[f546,f93]) ).
fof(f1127,plain,
( ~ between(u,u,u)
| ~ spl0_1 ),
inference(superposition,[],[f563,f221]) ).
fof(f1139,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1127,f52]) ).
fof(f1140,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1168,plain,
( ! [X2,X0,X1] :
( between(extension(v,w,X1,X2),u,X0)
| ~ between(X0,u,v) )
| ~ spl0_10 ),
inference(resolution,[],[f472,f54]) ).
fof(f1635,plain,
( ! [X1] :
( ~ between(X1,u,v)
| between(w,u,X1) )
| ~ spl0_10 ),
inference(superposition,[],[f1168,f31]) ).
fof(f1650,plain,
( ! [X0,X1] : between(w,u,extension(v,u,X0,X1))
| ~ spl0_10 ),
inference(resolution,[],[f1635,f119]) ).
fof(f1660,plain,
( ! [X0,X1] : between(extension(v,u,X0,X1),u,w)
| ~ spl0_10 ),
inference(resolution,[],[f1650,f54]) ).
fof(f1686,plain,
( ! [X0,X1] :
( ~ between(extension(v,u,X0,X1),u,v)
| u = extension(v,u,X0,X1) )
| ~ spl0_10 ),
inference(resolution,[],[f1660,f562]) ).
fof(f1707,plain,
( ! [X0,X1] : u = extension(v,u,X0,X1)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1686,f119]) ).
fof(f1745,plain,
( u != u
| ~ spl0_10 ),
inference(superposition,[],[f70,f1707]) ).
fof(f1746,plain,
( $false
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1745]) ).
fof(f1747,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1746]) ).
cnf(s13,plain,
( spl0_1
| spl0_10 ),
inference(sat_conversion,[],[f473]) ).
cnf(s31,plain,
~ spl0_1,
inference(sat_conversion,[],[f1140]) ).
cnf(s35,plain,
~ spl0_10,
inference(sat_conversion,[],[f1747]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s13,s35,s31]) ).
fof(f1763,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 06:48:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.45/0.51 % (1293793)Will run a generic schedule for satisfiability detection.
% 0.45/0.51 % (1293802)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1169006081:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.45/0.51 % (1293799)% WARNING: option uhcvi not known.
% 0.45/0.51 % (1293798)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3375352712_2999 on theBenchmark for (2999ds/0Mi)
% 0.45/0.51 % (1293799)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4258816076:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.45/0.51 % (1293804)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=261386040:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.45/0.51 % (1293800)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4159307428:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.45/0.51 % (1293801)dis+10_1_sil=32000:sp=arity:random_seed=2189978796:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.45/0.51 % (1293803)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=33586385:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.51 % Detected minimum model sizes of [3]
% 0.45/0.51 % Detected maximum model sizes of [max]
% 0.45/0.51 % TRYING [3]
% 0.45/0.51 % (1293802)Instruction limit reached!
% 0.45/0.51 % (1293802)------------------------------
% 0.45/0.51 % (1293802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.51 % (1293802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.51 % (1293802)CaDiCaL version: 2.1.3
% 0.45/0.51 % (1293802)Termination reason: Instruction limit
% 0.45/0.51 % (1293802)Termination phase: Saturation
% 0.45/0.51 % (1293802)Time elapsed: 0.033 s
% 0.45/0.51 % (1293802)Peak memory usage: 12 MB
% 0.45/0.51 % (1293802)Instructions burned: 121 (million)
% 0.45/0.51 % (1293812)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4005994821:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.45/0.51 % Detected minimum model sizes of [3]
% 0.45/0.51 % Detected maximum model sizes of [max]
% 0.45/0.51 % TRYING [3]
% 0.45/0.51 % (1293801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1293793-1293801"...
% 0.45/0.51 % (1293801)...printing done.
% 0.45/0.51 % (1293801)Refutation found. Thanks to Tanya!
% 0.45/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.45/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.51 % (1293801)------------------------------
% 0.45/0.51 % (1293801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.51 % (1293801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.51 % (1293801)CaDiCaL version: 2.1.3
% 0.45/0.51 % (1293801)Termination reason: Refutation
% 0.45/0.51 % (1293801)Time elapsed: 0.057 s
% 0.45/0.51 % (1293801)Peak memory usage: 13 MB
% 0.45/0.51 % (1293801)Instructions burned: 93 (million)
% 0.45/0.51 % (1293793)Success in time 0.098 s
% 0.45/0.51 % Vampire exiting
%------------------------------------------------------------------------------