%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO056-2 : 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 : n005.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 09:53:26 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 8 unt; 0 def)
% Number of atoms : 10 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 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(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f20,axiom,
u = v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_equals_v) ).
fof(f21,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
fof(f22,plain,
v != extension(v,v,v,v),
inference(definition_unfolding,[],[f21,f19,f20]) ).
fof(f24,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f27,plain,
v != v,
inference(superposition,[],[f22,f24]) ).
fof(f30,plain,
$false,
inference(trivial_inequality_removal,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO056-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 06:45:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.09/0.45 % (3634245)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (3634250)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=125355477_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (3634253)dis+10_1_sil=32000:sp=arity:random_seed=534868769:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (3634252)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1781391846:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (3634254)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3576162243:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (3634255)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2637182303:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (3634256)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3807665725:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (3634251)% WARNING: option uhcvi not known.
% 0.09/0.45 % (3634253) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3634245-3634253"...
% 0.09/0.45 % (3634255) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3634245-3634255"...
% 0.09/0.45 % (3634256) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3634245-3634256"...
% 0.09/0.45 % TRYING [1]
% 0.09/0.45 % (3634252) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3634245-3634252"...
% 0.09/0.45 % TRYING [2]
% 0.09/0.45 % (3634254) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3634245-3634254"...
% 0.09/0.45 % (3634251)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1467624026:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (3634253)...printing done.
% 0.09/0.45 % (3634255)...printing done.
% 0.09/0.45 % (3634256)...printing done.
% 0.09/0.45 % (3634252)...printing done.
% 0.09/0.45 % (3634254)...printing done.
% 0.09/0.45 % (3634251) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3634245-3634251"...
% 0.09/0.45 % (3634253)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (3634253)------------------------------
% 0.09/0.45 % (3634253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (3634253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (3634253)CaDiCaL version: 2.1.3
% 0.09/0.45 % (3634253)Termination reason: Refutation
% 0.09/0.45 % (3634253)Time elapsed: 0.002 s
% 0.09/0.45 % (3634253)Peak memory usage: 11 MB
% 0.09/0.45 % (3634253)Instructions burned: 1 (million)
% 0.09/0.45 % (3634245)Success in time 0.033 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------