%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:53:27 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 15 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X2,X3,X0,X1] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).
fof(f47,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3)
| X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_2) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/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(f84,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f85,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality_of_insertions) ).
fof(f97,plain,
extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z),
inference(definition_unfolding,[],[f85,f20,f20]) ).
fof(f321,plain,
! [X0,X1] :
( extension(X0,X1,w,x) = extension(X0,X1,y,z)
| X0 = X1 ),
inference(resolution,[],[f47,f84]) ).
fof(f673,plain,
( extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x)
| u = extension(v,u,lower_dimension_point_1,lower_dimension_point_2) ),
inference(superposition,[],[f97,f321]) ).
fof(f692,plain,
u = extension(v,u,lower_dimension_point_1,lower_dimension_point_2),
inference(trivial_inequality_removal,[],[f673]) ).
fof(f713,plain,
$false,
inference(forward_subsumption_resolution,[],[f692,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.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 06:48:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.48 % (3054304)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3054313)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=212134087:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3054310)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3054312)dis+10_1_sil=32000:sp=arity:random_seed=1291253722:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3054311)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1713126845:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3054309)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1579375518_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3054310)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1780742707:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3054315)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4113134376:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (3054314)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2211856442:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % Detected minimum model sizes of [3]
% 0.17/0.48 % Detected maximum model sizes of [max]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3054310) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3054304-3054310"...
% 0.17/0.48 % (3054310)...printing done.
% 0.17/0.48 % (3054310)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3054310)------------------------------
% 0.17/0.48 % (3054310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3054310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3054310)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3054310)Termination reason: Refutation
% 0.17/0.48 % (3054310)Time elapsed: 0.021 s
% 0.17/0.48 % (3054310)Peak memory usage: 12 MB
% 0.17/0.48 % (3054310)Instructions burned: 29 (million)
% 0.17/0.48 % (3054304)Success in time 0.054 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------