%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:53:12 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.49s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f19,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
fof(f20,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f22,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,X2)
| between(X0,X1,X2)
| ~ between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,X2)
| between(X0,X1,X2)
| ~ between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f34,plain,
between(a,a,b),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f36,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f38,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f20,f36]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| ~ between(X1,inner_pasch(X0,X1,X2,X2,X3),X3) ),
inference(resolution,[],[f23,f38]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| ~ between(X2,inner_pasch(X0,X1,X2,X2,X3),X0) ),
inference(resolution,[],[f24,f38]) ).
fof(f65,plain,
! [X2,X0,X1] : ~ between(X0,inner_pasch(X1,X0,X0,X0,X2),X2),
inference(resolution,[],[f61,f38]) ).
fof(f66,plain,
! [X0,X1] : inner_pasch(X1,X0,X0,X0,X0) = X0,
inference(resolution,[],[f65,f22]) ).
fof(f72,plain,
! [X2,X0,X1] : ~ between(X0,inner_pasch(X1,X0,X0,X0,X2),X1),
inference(resolution,[],[f63,f38]) ).
fof(f79,plain,
! [X0,X1] : ~ between(X0,X0,X1),
inference(superposition,[],[f72,f66]) ).
fof(f85,plain,
$false,
inference(resolution,[],[f79,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n002.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 06:32:22 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.13/0.49 % (3177103)Will run a generic schedule for satisfiability detection.
% 0.13/0.49 % (3177113)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2259300246:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.13/0.49 % (3177112)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=847330635:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.13/0.49 % (3177108)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=971899999_3000 on theBenchmark for (3000ds/0Mi)
% 0.13/0.49 % (3177111)dis+10_1_sil=32000:sp=arity:random_seed=828040286:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.13/0.49 % (3177110)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=44244004:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.13/0.49 % (3177114)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=193354768:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.13/0.49 % TRYING [1]
% 0.13/0.49 % TRYING [2]
% 0.13/0.49 % (3177114) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3177103-3177114"...
% 0.13/0.49 % TRYING [3]
% 0.13/0.49 % (3177113) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3177103-3177113"...
% 0.13/0.49 % (3177114)...printing done.
% 0.13/0.49 % (3177114)Refutation found. Thanks to Tanya!
% 0.13/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.49 % (3177114)------------------------------
% 0.13/0.49 % (3177114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.49 % (3177114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.49 % (3177114)CaDiCaL version: 2.1.3
% 0.13/0.49 % (3177114)Termination reason: Refutation
% 0.13/0.49 % (3177114)Time elapsed: 0.005 s
% 0.13/0.49 % (3177114)Peak memory usage: 11 MB
% 0.13/0.49 % (3177114)Instructions burned: 3 (million)
% 0.13/0.49 % (3177103)Success in time 0.044 s
% 0.13/0.49 % Vampire exiting
%------------------------------------------------------------------------------