%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO064-3 : 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 : n004.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 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
fof(f58,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f97,axiom,
between(w,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_w_and_u) ).
fof(f98,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_colinear) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f153,plain,
colinear(u,v,w),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f157,plain,
between(u,v,w),
inference(resolution,[],[f58,f97]) ).
fof(f166,plain,
~ between(u,v,w),
inference(resolution,[],[f122,f153]) ).
fof(f167,plain,
$false,
inference(forward_subsumption_resolution,[],[f157,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO064-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 06:47:52 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.16/0.47 % (3152839)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3152844)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2628980579_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % Detected minimum model sizes of [3]
% 0.16/0.47 % Detected maximum model sizes of [max]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (3152845)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3152845)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4235152187:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3152846)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=672341226:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3152849)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3688513902:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (3152847)dis+10_1_sil=32000:sp=arity:random_seed=3910276920:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3152848)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2542507989:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3152850)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2780357298:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3152845) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3152839-3152845"...
% 0.16/0.47 % (3152847) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3152839-3152847"...
% 0.16/0.47 % (3152849) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3152839-3152849"...
% 0.16/0.47 % (3152845)...printing done.
% 0.16/0.47 % (3152847)...printing done.
% 0.16/0.47 % (3152846) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3152839-3152846"...
% 0.16/0.47 % (3152850) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3152839-3152850"...
% 0.16/0.47 % (3152845)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3152845)------------------------------
% 0.16/0.47 % (3152845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3152845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3152845)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3152845)Termination reason: Refutation
% 0.16/0.47 % (3152845)Time elapsed: 0.003 s
% 0.16/0.47 % (3152845)Peak memory usage: 11 MB
% 0.16/0.47 % (3152845)Instructions burned: 3 (million)
% 0.16/0.47 % (3152839)Success in time 0.048 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------