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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWX233_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 01:46:48 PM UTC 2026

% Result   : Theorem 0.26s 0.34s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    cons: ( $o * $i ) > $i ).

tff(pred_def_1,type,
    g: $o > $o ).

tff(f7,axiom,
    f(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).

tff(f9,conjecture,
    ? [X0: $i] : f(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_011) ).

tff(f10,negated_conjecture,
    ~ ? [X0: $i] : f(X0),
    inference(negated_conjecture,[status(cth)],[f9]) ).

tff(f18,plain,
    ! [X0: $i] : ~ f(X0),
    inference(ennf_transformation,[],[f10]) ).

tff(f30,plain,
    f(nil),
    inference(cnf_transformation,[],[f7]) ).

tff(f35,plain,
    ! [X0: $i] : ~ f(X0),
    inference(cnf_transformation,[],[f18]) ).

tff(f40,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f30,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX233_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25  % Computer : n019.cluster.edu
% 0.10/0.25  % Model    : x86_64 x86_64
% 0.10/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25  % Memory   : 8046.5625MB
% 0.10/0.25  % OS       : Linux 6.8.0-71-generic
% 0.10/0.25  % CPULimit : 300
% 0.10/0.25  % WCLimit  : 300
% 0.10/0.25  % DateTime : Mon Sep 28 15:17:33 UTC 2026
% 0.10/0.26  % CPUTime  : 
% 0.10/0.26  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31  Running first-order model finding
% 0.26/0.31  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
% 0.26/0.34  % (4080866)Will run a generic schedule for satisfiability detection.
% 0.26/0.34  % (4080872)% WARNING: option uhcvi not known.
% 0.26/0.34  % (4080872)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2216456343:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.26/0.34  % (4080872) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4080866-4080872"...
% 0.26/0.34  % (4080872)...printing done.
% 0.26/0.34  % (4080872)Refutation found. Thanks to Tanya!
% 0.26/0.34  % SZS status Theorem for theBenchmark
% 0.26/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.34  % (4080872)------------------------------
% 0.26/0.34  % (4080872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.34  % (4080872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.34  % (4080872)CaDiCaL version: 2.1.3
% 0.26/0.34  % (4080872)Termination reason: Refutation
% 0.26/0.34  % (4080872)Time elapsed: 0.001 s
% 0.26/0.34  % (4080872)Peak memory usage: 11 MB
% 0.26/0.34  % (4080866)Success in time 0.024 s
% 0.26/0.34  % Vampire exiting
%------------------------------------------------------------------------------