%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:53:32 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 42 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [X0,X1] :
( ~ closed(X0)
| ~ end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
fof(f41,axiom,
! [X0] :
( end_point(ax0_sk6(X0),X0)
| closed(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
fof(f42,axiom,
! [X0] :
( ~ open(X0)
| end_point(ax0_sk7(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
fof(f51,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| end_point(ax0_sk11(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c6_41) ).
fof(f52,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| X0 != ax0_sk11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c6_42) ).
fof(f53,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ax0_sk11(X0,X1) != X0 ),
inference(reorient_equations,[],[f52]) ).
fof(f66,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
fof(f67,negated_conjecture,
! [X0,X1] :
( X0 = X1
| ~ end_point(X0,sk14)
| ~ end_point(X1,sk14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
fof(f102,plain,
! [X0,X1] :
( end_point(X1,X0)
| ~ closed(X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f103,plain,
! [X0] :
( closed(X0)
| ~ end_point(ax0_sk6(X0),X0) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f104,plain,
! [X0] :
( ~ end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f110,plain,
! [X0,X1] :
( ~ end_point(ax0_sk11(X0,X1),X1)
| end_point(X0,X1) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f111,plain,
! [X0,X1] :
( ax0_sk11(X0,X1) != X0
| end_point(X0,X1) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f118,plain,
! [X0,X1] :
( end_point(X1,sk14)
| end_point(X0,sk14)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f123,plain,
! [X0] :
( ~ open(X0)
| ~ closed(X0) ),
inference(resolution,[],[f104,f102]) ).
fof(f137,plain,
~ closed(sk14),
inference(resolution,[],[f123,f66]) ).
fof(f139,plain,
~ end_point(ax0_sk6(sk14),sk14),
inference(resolution,[],[f137,f103]) ).
fof(f140,plain,
! [X0] :
( end_point(X0,sk14)
| ax0_sk6(sk14) = X0 ),
inference(resolution,[],[f139,f118]) ).
fof(f155,plain,
! [X0] :
( end_point(X0,sk14)
| ax0_sk6(sk14) = ax0_sk11(X0,sk14) ),
inference(resolution,[],[f110,f140]) ).
fof(f159,plain,
ax0_sk6(sk14) = ax0_sk11(ax0_sk6(sk14),sk14),
inference(resolution,[],[f155,f139]) ).
fof(f177,plain,
( ax0_sk6(sk14) != ax0_sk6(sk14)
| end_point(ax0_sk6(sk14),sk14) ),
inference(superposition,[],[f111,f159]) ).
fof(f179,plain,
end_point(ax0_sk6(sk14),sk14),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f189,plain,
$false,
inference(resolution,[],[f179,f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:53:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (459962)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (459973)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4214458711:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (459973) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459962-459973"...
% 0.10/0.44 % (459973)...printing done.
% 0.10/0.44 % (459973)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (459973)------------------------------
% 0.10/0.44 % (459973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (459973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (459973)CaDiCaL version: 2.1.3
% 0.10/0.44 % (459973)Termination reason: Refutation
% 0.10/0.44 % (459973)Time elapsed: 0.002 s
% 0.10/0.44 % (459973)Peak memory usage: 11 MB
% 0.10/0.44 % (459973)Instructions burned: 4 (million)
% 0.10/0.44 % (459962)Success in time 0.033 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------