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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC287-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 01:05:24 PM UTC 2026

% Result   : Unsatisfiable 0.21s 0.29s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  10 unt;   3 def)
%            Number of atoms       :   54 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   44 (  21   ~;  20   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause3) ).

fof(f66,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ~ strictorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f208,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f213,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f214,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f213]) ).

fof(f219,plain,
    ~ strictorderedP(sk3),
    inference(definition_unfolding,[],[f206,f205]) ).

fof(f221,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f223,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f234,definition,
    ( spl0_4
  <=> sk3 = cons(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f236,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f237,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f214,f234,f221]) ).

fof(f246,definition,
    ( spl0_6
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f248,plain,
    ( ssItem(sk5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f249,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f208,f246,f221]) ).

fof(f618,plain,
    ( strictorderedP(cons(sk5,nil))
    | ~ spl0_6 ),
    inference(resolution,[],[f66,f248]) ).

fof(f619,plain,
    ( strictorderedP(sk3)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f618,f236]) ).

fof(f620,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f619,f219]) ).

fof(f621,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f620]) ).

fof(f640,plain,
    ( ~ strictorderedP(nil)
    | ~ spl0_1 ),
    inference(superposition,[],[f219,f223]) ).

fof(f646,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f640,f3]) ).

fof(f647,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f646]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s7,plain,
    ( spl0_1
    | spl0_6 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s14,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f647]) ).

cnf(s15,plain,
    spl0_6,
    inference(rat,[],[s7,s14]) ).

cnf(s16,plain,
    ~ spl0_4,
    inference(rat,[],[s12,s15]) ).

cnf(s18,plain,
    $false,
    inference(rat,[],[s3,s16,s14]) ).

fof(f648,plain,
    $false,
    inference(avatar_sat_refutation,[],[s18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC287-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  % Computer : n006.cluster.edu
% 0.07/0.21  % Model    : x86_64 x86_64
% 0.07/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21  % Memory   : 8046.5625MB
% 0.07/0.21  % OS       : Linux 6.8.0-71-generic
% 0.07/0.21  % CPULimit : 300
% 0.07/0.21  % WCLimit  : 300
% 0.07/0.21  % DateTime : Mon Sep 28 08:52:55 UTC 2026
% 0.07/0.21  % CPUTime  : 
% 0.07/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24  Running first-order model finding
% 0.07/0.24  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
% 0.21/0.29  % (3826899)Will run a generic schedule for satisfiability detection.
% 0.21/0.29  % (3826909)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2123217482:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29  % (3826905)% WARNING: option uhcvi not known.
% 0.21/0.29  % (3826909) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3826899-3826909"...
% 0.21/0.29  % (3826905)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3846614838:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29  % (3826909)...printing done.
% 0.21/0.29  % (3826904)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=990029168_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29  % (3826906)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1183130896:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29  % (3826907)dis+10_1_sil=32000:sp=arity:random_seed=3047916378:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29  % (3826908)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2997881610:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29  % (3826909)Refutation found. Thanks to Tanya!
% 0.21/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29  % (3826909)------------------------------
% 0.21/0.29  % (3826909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29  % (3826909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29  % (3826909)CaDiCaL version: 2.1.3
% 0.21/0.29  % (3826909)Termination reason: Refutation
% 0.21/0.29  % (3826909)Time elapsed: 0.006 s
% 0.21/0.29  % (3826909)Peak memory usage: 13 MB
% 0.21/0.29  % (3826909)Instructions burned: 16 (million)
% 0.21/0.29  % (3826899)Success in time 0.039 s
% 0.21/0.29  % Vampire exiting
%------------------------------------------------------------------------------