%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO002-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:53:12 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 38 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 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 : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
fof(f21,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
fof(f22,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f26,plain,
! [X2,X0,X1] :
( equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X2,X4)
| between(X0,X1,X2)
| ~ between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X2,X4)
| between(X0,X1,X2)
| ~ between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : ~ equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f42,plain,
between(a,a,b),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f44,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f35,f26]) ).
fof(f46,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f34,f44]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,outer_pasch(X1,X0,X3,X2,X2),X3)
| between(X0,X1,X2) ),
inference(resolution,[],[f28,f46]) ).
fof(f126,plain,
! [X2,X0,X1] :
( between(X0,X1,X2)
| outer_pasch(X1,X0,X0,X2,X2) = X0 ),
inference(resolution,[],[f66,f22]) ).
fof(f130,plain,
! [X0,X1] : outer_pasch(X0,X1,X1,X0,X0) = X1,
inference(resolution,[],[f126,f46]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| ~ between(X2,X1,outer_pasch(X1,X0,X3,X2,X2)) ),
inference(resolution,[],[f29,f46]) ).
fof(f166,plain,
! [X2,X0,X1] : ~ between(X0,X0,outer_pasch(X0,X1,X2,X0,X0)),
inference(resolution,[],[f144,f46]) ).
fof(f173,plain,
! [X0,X1] : ~ between(X1,X1,X0),
inference(superposition,[],[f166,f130]) ).
fof(f181,plain,
$false,
inference(resolution,[],[f173,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO002-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n004.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 06:29:37 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 Running first-order model finding
% 0.13/0.45 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
% 0.20/0.52 % (3144666)Will run a generic schedule for satisfiability detection.
% 0.20/0.52 % (3144672)% WARNING: option uhcvi not known.
% 0.20/0.52 % (3144672)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=870896269:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.52 % (3144674)dis+10_1_sil=32000:sp=arity:random_seed=4130064940:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.52 % (3144671)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4067566684_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.52 % (3144675)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2160727827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.52 % (3144673)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3989175142:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.52 % (3144677)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3145422165:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.52 % (3144676)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=727732402:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.52 % TRYING [1]
% 0.20/0.52 % TRYING [2]
% 0.20/0.52 % TRYING [3]
% 0.20/0.52 % (3144677) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3144666-3144677"...
% 0.20/0.52 % (3144674) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3144666-3144674"...
% 0.20/0.52 % (3144676) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3144666-3144676"...
% 0.20/0.52 % (3144677)...printing done.
% 0.20/0.52 % (3144674)...printing done.
% 0.20/0.52 % (3144677)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (3144677)------------------------------
% 0.20/0.52 % (3144677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.52 % (3144677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.52 % (3144677)CaDiCaL version: 2.1.3
% 0.20/0.52 % (3144677)Termination reason: Refutation
% 0.20/0.52 % (3144677)Time elapsed: 0.008 s
% 0.20/0.52 % (3144677)Peak memory usage: 11 MB
% 0.20/0.52 % (3144677)Instructions burned: 6 (million)
% 0.20/0.52 % (3144666)Success in time 0.047 s
% 0.20/0.52 % Vampire exiting
%------------------------------------------------------------------------------