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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV061+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 01:08:01 PM UTC 2026

% Result   : Theorem 3.58s 1.27s
% Output   : Refutation 3.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   22 (   9   ~;   2   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( true
   => ( ( ~ gt(loopcounter,n1)
       => true )
      & ( gt(loopcounter,n1)
       => true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0002) ).

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

fof(f87,plain,
    ( ( ( ~ true
        & ~ gt(loopcounter,n1) )
      | ( ~ true
        & gt(loopcounter,n1) ) )
    & true ),
    inference(ennf_transformation,[],[f54]) ).

fof(f103,plain,
    true,
    inference(cnf_transformation,[],[f87]) ).

fof(f107,plain,
    ( ~ true
    | ~ true ),
    inference(cnf_transformation,[],[f87]) ).

fof(f127,plain,
    ~ true,
    inference(duplicate_literal_removal,[],[f107]) ).

fof(f128,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f127,f103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV061+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 09:49:01 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.27  % (3288989)Detected formulas, will run a generic FOF schedule.
% 3.58/1.27  % (3288995)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=139378014:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.58/1.27  % (3288996)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2113543117:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.58/1.27  % (3288994)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=66312758:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.58/1.27  % (3288997)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=510176713:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.58/1.27  % (3288998)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1041156257:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.58/1.27  % (3288998)First to succeed.
% 3.58/1.27  % (3288997)Also succeeded, but the first one will report.
% 3.58/1.27  % (3288998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3288989"
% 3.58/1.27  % (3289000)dis-21_1_sil=8000:lcm=predicate:random_seed=1790942925:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.58/1.27  % (3288999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2462825890:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.58/1.27  % (3289000)Also succeeded, but the first one will report.
% 3.58/1.27  % (3288999)Also succeeded, but the first one will report.
% 3.58/1.27  % (3288998)Refutation found. Thanks to Tanya!
% 3.58/1.27  % SZS status Theorem for theBenchmark
% 3.58/1.27  % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.27  % (3288998)------------------------------
% 3.58/1.27  % (3288998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.27  % (3288998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.27  % (3288998)CaDiCaL version: 2.1.3
% 3.58/1.27  % (3288998)Termination reason: Refutation
% 3.58/1.27  % (3288998)Time elapsed: 0.002 s
% 3.58/1.27  % (3288998)Peak memory usage: 88 MB
% 3.58/1.27  % (3288998)Instructions burned: 1 (million)
% 3.58/1.27  % (3288998)------------------------------
% 3.58/1.27  % (3288998)------------------------------
% 3.58/1.27  % (3288989)Success in time 0.426 s
% 3.58/1.27  % Vampire exiting
%------------------------------------------------------------------------------