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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV045+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 : n013.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 01:20:03 PM UTC 2026

% Result   : Theorem 0.19s 0.28s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   20 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   16 (   4   ~;   0   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

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

fof(f53,conjecture,
    ( ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
      & leq(n0,pv25)
      & leq(pv25,minus(n5,n1)) )
   => true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).

fof(f54,negated_conjecture,
    ~ ( ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
        & leq(n0,pv25)
        & leq(pv25,minus(n5,n1)) )
     => true ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f142,plain,
    ( ~ true
    & pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
    & leq(n0,pv25)
    & leq(pv25,minus(n5,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f143,plain,
    ( ~ true
    & pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
    & leq(n0,pv25)
    & leq(pv25,minus(n5,n1)) ),
    inference(flattening,[],[f142]) ).

fof(f313,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f318,plain,
    ~ true,
    inference(cnf_transformation,[],[f143]) ).

fof(f389,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f313,f318]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV045+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n013.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 09:47:21 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  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
% 0.19/0.28  % (1062322)Will run a generic schedule for satisfiability detection.
% 0.19/0.28  % (1062331)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=492918307:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28  % (1062328)% WARNING: option uhcvi not known.
% 0.19/0.28  % (1062331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1062322-1062331"...
% 0.19/0.28  % (1062331)...printing done.
% 0.19/0.28  % (1062331)Refutation found. Thanks to Tanya!
% 0.19/0.28  % SZS status Theorem for theBenchmark
% 0.19/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28  % (1062331)------------------------------
% 0.19/0.28  % (1062331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28  % (1062331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28  % (1062331)CaDiCaL version: 2.1.3
% 0.19/0.28  % (1062331)Termination reason: Refutation
% 0.19/0.28  % (1062331)Time elapsed: 0.004 s
% 0.19/0.28  % (1062331)Peak memory usage: 12 MB
% 0.19/0.28  % (1062331)Instructions burned: 14 (million)
% 0.19/0.28  % (1062322)Success in time 0.042 s
% 0.19/0.28  % Vampire exiting
%------------------------------------------------------------------------------