%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO002-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 33 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ between(X2,X3,X0)
| ~ equalish(X0,X1)
| between(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_substitution3) ).
fof(f8,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
fof(f9,plain,
! [X2,X0,X1] : equalish(X0,extension(X1,X0,X2,X2)),
inference(resolution,[],[f6,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| between(X0,X1,X2) ),
inference(resolution,[],[f1,f5]) ).
fof(f13,plain,
! [X0] : between(X0,X0,X0),
inference(resolution,[],[f12,f5]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] :
( between(X5,X3,outer_pasch(X4,X3,X0,X2,X1))
| ~ between(X3,X4,X1)
| ~ between(X5,X3,X0)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f3,f1]) ).
fof(f17,plain,
! [X0,X1] :
( between(X0,X0,X1)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f13,f7]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| ~ equalish(X0,X1)
| between(X2,X0,X0) ),
inference(resolution,[],[f17,f1]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X6,X3,outer_pasch(X1,X0,X4,X5,X2))
| ~ between(X3,X0,X4)
| ~ between(X4,X2,X5)
| ~ between(X0,X1,X2)
| between(X6,X3,X0) ),
inference(resolution,[],[f14,f1]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,extension(X1,X0,X2,X3))
| between(X1,X0,X0) ),
inference(resolution,[],[f21,f5]) ).
fof(f63,plain,
! [X0,X1] : between(X0,X1,X1),
inference(resolution,[],[f31,f9]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X2,X3,X4)
| ~ between(X1,X0,X3)
| between(X4,X0,X1)
| ~ between(X2,X3,X4)
| ~ between(X1,X0,X3) ),
inference(resolution,[],[f29,f4]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X2,X3,X4)
| ~ between(X0,X1,X2)
| ~ between(X1,X0,X3)
| between(X4,X0,X1) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X0,X3)
| ~ between(X0,X1,X2)
| between(X3,X0,X1) ),
inference(resolution,[],[f128,f63]) ).
fof(f705,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X0,X0,X1) ),
inference(resolution,[],[f189,f63]) ).
fof(f741,plain,
! [X0,X1] : between(X0,X0,X1),
inference(resolution,[],[f705,f63]) ).
fof(f820,plain,
$false,
inference(resolution,[],[f741,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO002-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n009.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 06:29:29 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 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
% 0.21/0.55 % (1673044)Will run a generic schedule for satisfiability detection.
% 0.21/0.55 % (1673053)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3609534554:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.55 % (1673050)% WARNING: option uhcvi not known.
% 0.21/0.55 % (1673049)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1870368678_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.55 % (1673050)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3675955902:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.55 % (1673051)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1463188136:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.55 % (1673052)dis+10_1_sil=32000:sp=arity:random_seed=2175150596:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.55 % (1673054)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2130425297:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.55 % (1673055)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3302330011:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.55 % TRYING [1]
% 0.21/0.55 % TRYING [2]
% 0.21/0.55 % TRYING [3]
% 0.21/0.55 % TRYING [4]
% 0.21/0.55 % (1673053)Instruction limit reached!
% 0.21/0.55 % (1673053)------------------------------
% 0.21/0.55 % (1673053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.55 % (1673053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.55 % (1673053)CaDiCaL version: 2.1.3
% 0.21/0.55 % (1673053)Termination reason: Instruction limit
% 0.21/0.55 % (1673053)Termination phase: Saturation
% 0.21/0.55 % (1673053)Time elapsed: 0.051 s
% 0.21/0.55 % (1673053)Peak memory usage: 11 MB
% 0.21/0.55 % (1673053)Instructions burned: 117 (million)
% 0.21/0.55 % (1673052) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1673044-1673052"...
% 0.21/0.55 % (1673052)...printing done.
% 0.21/0.55 % (1673052)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (1673052)------------------------------
% 0.21/0.55 % (1673052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.55 % (1673052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.55 % (1673052)CaDiCaL version: 2.1.3
% 0.21/0.55 % (1673052)Termination reason: Refutation
% 0.21/0.55 % (1673052)Time elapsed: 0.050 s
% 0.21/0.55 % (1673052)Peak memory usage: 11 MB
% 0.21/0.55 % (1673052)Instructions burned: 56 (million)
% 0.21/0.55 % (1673044)Success in time 0.09 s
% 0.21/0.55 % Vampire exiting
%------------------------------------------------------------------------------