%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM025-2 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:17:51 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X0,X1] :
( greater_or_equalish(X2,X0)
| greater_or_equalish(X0,X1)
| ~ greater_or_equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).
fof(f14,axiom,
! [X0] : greater_or_equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_number_less_than_itself) ).
fof(f15,axiom,
~ greater_or_equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_less_than_b) ).
fof(f16,negated_conjecture,
~ greater_or_equalish(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_not_less_than_a) ).
fof(f44,plain,
! [X0] :
( greater_or_equalish(a,X0)
| ~ greater_or_equalish(b,X0) ),
inference(resolution,[],[f10,f16]) ).
fof(f46,plain,
~ greater_or_equalish(b,b),
inference(resolution,[],[f44,f15]) ).
fof(f47,plain,
$false,
inference(resolution,[],[f46,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM025-2 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44 % Computer : n026.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 18:42:57 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 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
% 0.22/0.54 % (3136182)Will run a generic schedule for satisfiability detection.
% 0.22/0.54 % (3136193)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=202465006:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.54 % (3136193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3136182-3136193"...
% 0.22/0.54 % (3136193)...printing done.
% 0.22/0.54 % (3136193)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (3136193)------------------------------
% 0.22/0.54 % (3136193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.54 % (3136193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.54 % (3136193)CaDiCaL version: 2.1.3
% 0.22/0.54 % (3136193)Termination reason: Refutation
% 0.22/0.54 % (3136193)Time elapsed: 0.002 s
% 0.22/0.54 % (3136193)Peak memory usage: 11 MB
% 0.22/0.54 % (3136193)Instructions burned: 1 (million)
% 0.22/0.54 % (3136182)Success in time 0.028 s
% 0.22/0.54 % Vampire exiting
%------------------------------------------------------------------------------