%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM228-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 12:18:06 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 17 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f163,axiom,
! [X0,X1] :
( ~ member(X0,recursion_equation_functions(X1))
| function(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',recursion_equation_functions1) ).
fof(f176,negated_conjecture,
~ function(z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1) ).
fof(f177,negated_conjecture,
recursion_equation_functions(z) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2) ).
fof(f178,plain,
null_class != recursion_equation_functions(z),
inference(reorient_equations,[],[f177]) ).
fof(f314,plain,
! [X0] :
( ~ member(regular(X0),X0)
| null_class = X0 ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f356,plain,
! [X0,X1] :
( ~ function(X1)
| member(X0,recursion_equation_functions(X1)) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f365,plain,
function(z),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f366,plain,
! [X0] : member(X0,recursion_equation_functions(z)),
inference(resolution,[],[f356,f365]) ).
fof(f370,plain,
null_class = recursion_equation_functions(z),
inference(resolution,[],[f314,f366]) ).
fof(f372,plain,
$false,
inference(forward_subsumption_resolution,[],[f370,f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM228-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:17:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.18/0.47 % (3154408)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3154414)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3154414)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1300296476:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3154414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3154408-3154414"...
% 0.18/0.47 % (3154414)...printing done.
% 0.18/0.47 % (3154414)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3154414)------------------------------
% 0.18/0.47 % (3154414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3154414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3154414)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3154414)Termination reason: Refutation
% 0.18/0.47 % (3154414)Time elapsed: 0.003 s
% 0.18/0.47 % (3154414)Peak memory usage: 11 MB
% 0.18/0.47 % (3154414)Instructions burned: 8 (million)
% 0.18/0.47 % (3154408)Success in time 0.042 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------