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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC328-1 : 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 : n001.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 01:05:34 PM UTC 2026

% Result   : Unsatisfiable 0.21s 0.29s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  12 unt;   2 def)
%            Number of atoms       :   34 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  12   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause1) ).

fof(f56,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    nil = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,plain,
    equalelemsP(sk3),
    inference(definition_unfolding,[],[f1,f204]) ).

fof(f217,plain,
    ! [X0] :
      ( segmentP(X0,sk3)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f56,f204]) ).

fof(f262,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ equalelemsP(sk3) ),
    inference(definition_unfolding,[],[f207,f205,f206,f206]) ).

fof(f292,definition,
    ( spl0_1
  <=> equalelemsP(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_2
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f298,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f299,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f262,f296,f292]) ).

fof(f313,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f208,f292]) ).

fof(f314,plain,
    ( ~ ssList(sk4)
    | spl0_2 ),
    inference(resolution,[],[f217,f298]) ).

fof(f315,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f314,f203]) ).

fof(f316,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f315]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f313]) ).

cnf(s4,plain,
    spl0_2,
    inference(sat_conversion,[],[f316]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s4,s3]) ).

fof(f317,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n001.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 09:12:18 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  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  % (233310)Will run a generic schedule for satisfiability detection.
% 0.21/0.29  % (233319)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1760481497:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29  % (233316)% WARNING: option uhcvi not known.
% 0.21/0.29  % (233319) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-233310-233319"...
% 0.21/0.29  % (233319)...printing done.
% 0.21/0.29  % (233319)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  % (233319)------------------------------
% 0.21/0.29  % (233319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29  % (233319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29  % (233319)CaDiCaL version: 2.1.3
% 0.21/0.29  % (233319)Termination reason: Refutation
% 0.21/0.29  % (233319)Time elapsed: 0.004 s
% 0.21/0.29  % (233319)Peak memory usage: 12 MB
% 0.21/0.29  % (233319)Instructions burned: 12 (million)
% 0.21/0.29  % (233310)Success in time 0.04 s
% 0.21/0.29  % Vampire exiting
%------------------------------------------------------------------------------