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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV059+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 01:20:05 PM UTC 2026

% Result   : Theorem 0.07s 0.26s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   9 unt;   1 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   25 (  11   ~;   2   |;   5   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    true,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).

fof(f53,conjecture,
    ( geq(pv72,tptp_float_0_001)
   => ( ( ~ gt(plus(n1,loopcounter),n1)
       => true )
      & ( gt(plus(n1,loopcounter),n1)
       => true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0049) ).

fof(f54,negated_conjecture,
    ~ ( geq(pv72,tptp_float_0_001)
     => ( ( ~ gt(plus(n1,loopcounter),n1)
         => true )
        & ( gt(plus(n1,loopcounter),n1)
         => true ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f137,plain,
    ( ( ( ~ true
        & ~ gt(plus(n1,loopcounter),n1) )
      | ( ~ true
        & gt(plus(n1,loopcounter),n1) ) )
    & geq(pv72,tptp_float_0_001) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f300,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f306,plain,
    ( ~ true
    | ~ true ),
    inference(cnf_transformation,[],[f137]) ).

fof(f365,plain,
    ~ true,
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f384,definition,
    ( spl31_1
  <=> true ),
    introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).

fof(f393,plain,
    ~ spl31_1,
    inference(avatar_split_clause,[],[f365,f384]) ).

fof(f394,plain,
    spl31_1,
    inference(avatar_split_clause,[],[f300,f384]) ).

cnf(s3,plain,
    ~ spl31_1,
    inference(sat_conversion,[],[f393]) ).

cnf(s4,plain,
    spl31_1,
    inference(sat_conversion,[],[f394]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s3,s4]) ).

fof(f486,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV059+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n011.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 09:48:01 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26  % (3286591)Will run a generic schedule for satisfiability detection.
% 0.07/0.26  % (3286601)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1062153377:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26  % (3286597)% WARNING: option uhcvi not known.
% 0.07/0.26  % (3286601) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3286591-3286601"...
% 0.07/0.26  % (3286596)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=694853573_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26  % (3286597)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1142163006:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26  % (3286601)...printing done.
% 0.07/0.26  % (3286598)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3580372369:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26  % (3286599)dis+10_1_sil=32000:sp=arity:random_seed=2889744785:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26  % (3286600)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3715120546:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26  % (3286602)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2990373279:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26  % (3286601)Refutation found. Thanks to Tanya!
% 0.07/0.26  % SZS status Theorem for theBenchmark
% 0.07/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26  % (3286601)------------------------------
% 0.07/0.26  % (3286601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26  % (3286601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.26  % (3286601)CaDiCaL version: 2.1.3
% 0.17/0.26  % (3286601)Termination reason: Refutation
% 0.17/0.26  % (3286601)Time elapsed: 0.006 s
% 0.17/0.26  % (3286601)Peak memory usage: 12 MB
% 0.17/0.26  % (3286601)Instructions burned: 18 (million)
% 0.17/0.26  % (3286591)Success in time 0.037 s
% 0.17/0.26  % Vampire exiting
%------------------------------------------------------------------------------