%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO054-3 : 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 : 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 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 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; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 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(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f33,negated_conjecture,
~ between(u,v,reflection(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_reflection) ).
fof(f34,plain,
~ between(u,v,extension(u,v,u,v)),
inference(definition_unfolding,[],[f33,f19]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f51,plain,
between(u,v,extension(u,v,u,v)),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f54,plain,
$false,
inference(backward_subsumption_resolution,[],[f51,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO054-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:48:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 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
% 0.14/0.45 % (1295062)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (1295068)% WARNING: option uhcvi not known.
% 0.14/0.45 % (1295069)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=904820408:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.45 % (1295067)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1145418328_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.45 % (1295068)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3689388356:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.45 % (1295070)dis+10_1_sil=32000:sp=arity:random_seed=1569613841:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.45 % (1295071)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3517698689:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.45 % (1295072)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3393004138:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.45 % (1295073)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=835853710:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.45 % (1295070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1295062-1295070"...
% 0.14/0.45 % (1295068) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1295062-1295068"...
% 0.14/0.45 % (1295072) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1295062-1295072"...
% 0.14/0.45 % (1295073) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1295062-1295073"...
% 0.14/0.45 % (1295071) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1295062-1295071"...
% 0.14/0.45 % TRYING [1]
% 0.14/0.45 % (1295069) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1295062-1295069"...
% 0.14/0.45 % TRYING [2]
% 0.14/0.45 % (1295070)...printing done.
% 0.14/0.45 % (1295068)...printing done.
% 0.14/0.45 % (1295072)...printing done.
% 0.14/0.45 % (1295073)...printing done.
% 0.14/0.45 % (1295071)...printing done.
% 0.14/0.45 % (1295069)...printing done.
% 0.14/0.45 % (1295068)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (1295068)------------------------------
% 0.14/0.45 % (1295068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (1295068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (1295068)CaDiCaL version: 2.1.3
% 0.14/0.45 % (1295068)Termination reason: Refutation
% 0.14/0.45 % (1295068)Time elapsed: 0.002 s
% 0.14/0.45 % (1295068)Peak memory usage: 11 MB
% 0.14/0.45 % (1295068)Instructions burned: 1 (million)
% 0.14/0.45 % (1295062)Success in time 0.034 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------