%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO001-1 : 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 : n003.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 09:53:11 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 33 ( 33 !; 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,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
fof(f8,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/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,axiom,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
fof(f22,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
fof(f24,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f26,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f13,f24]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X1)
| ~ between(X0,X1,X2)
| outer_pasch(X3,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f161,plain,
! [X0] :
( ~ between(a,c,X0)
| a = outer_pasch(b,a,a,X0,c) ),
inference(resolution,[],[f35,f21]) ).
fof(f174,plain,
a = outer_pasch(b,a,a,c,c),
inference(resolution,[],[f161,f26]) ).
fof(f186,plain,
( between(c,b,a)
| ~ between(a,c,c)
| ~ between(a,b,c) ),
inference(superposition,[],[f8,f174]) ).
fof(f188,plain,
( ~ between(a,c,c)
| ~ between(a,b,c) ),
inference(forward_subsumption_resolution,[],[f186,f22]) ).
fof(f190,plain,
~ between(a,b,c),
inference(forward_subsumption_resolution,[],[f188,f26]) ).
fof(f192,plain,
$false,
inference(forward_subsumption_resolution,[],[f190,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO001-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 % Computer : n003.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 06:31:40 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 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
% 0.23/0.52 % (144535)Will run a generic schedule for satisfiability detection.
% 0.23/0.52 % (144543)dis+10_1_sil=32000:sp=arity:random_seed=2325074886:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.52 % (144545)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1221310006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.52 % (144543) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-144535-144543"...
% 0.23/0.52 % (144541)% WARNING: option uhcvi not known.
% 0.23/0.52 % (144543)...printing done.
% 0.23/0.52 % (144543)Refutation found. Thanks to Tanya!
% 0.23/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.52 % (144543)------------------------------
% 0.23/0.52 % (144543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.52 % (144543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.52 % (144543)CaDiCaL version: 2.1.3
% 0.23/0.52 % (144543)Termination reason: Refutation
% 0.23/0.52 % (144543)Time elapsed: 0.006 s
% 0.23/0.52 % (144543)Peak memory usage: 11 MB
% 0.23/0.52 % (144543)Instructions burned: 9 (million)
% 0.23/0.52 % (144535)Success in time 0.031 s
% 0.23/0.52 % Vampire exiting
%------------------------------------------------------------------------------