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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET184-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 12:43:23 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   24 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

fof(f122,negated_conjecture,
    intersection(x,y) = x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property2_1) ).

fof(f123,plain,
    x = intersection(x,y),
    inference(reorient_equations,[],[f122]) ).

fof(f124,negated_conjecture,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property2_2) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X0)
      | ~ subclass(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X1)
      | ~ subclass(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f278,plain,
    subclass(x,y),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f347,plain,
    ! [X0] :
      ( member(X0,x)
      | ~ member(X0,y) ),
    inference(superposition,[],[f210,f123]) ).

fof(f348,plain,
    ! [X0] :
      ( ~ member(not_subclass_element(x,X0),y)
      | ~ subclass(x,X0) ),
    inference(resolution,[],[f347,f192]) ).

fof(f383,plain,
    ( ~ subclass(x,y)
    | ~ subclass(x,y) ),
    inference(resolution,[],[f348,f193]) ).

fof(f384,plain,
    ~ subclass(x,y),
    inference(duplicate_literal_removal,[],[f383]) ).

fof(f385,plain,
    $false,
    inference(resolution,[],[f384,f278]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET184-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n017.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 00:57:51 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.43  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
% 0.18/0.47  % (3123841)Will run a generic schedule for satisfiability detection.
% 0.18/0.47  % (3123852)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1997810028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47  % (3123847)% WARNING: option uhcvi not known.
% 0.18/0.47  % (3123852) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3123841-3123852"...
% 0.18/0.47  % (3123852)...printing done.
% 0.18/0.47  % (3123852)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (3123852)------------------------------
% 0.18/0.47  % (3123852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47  % (3123852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47  % (3123852)CaDiCaL version: 2.1.3
% 0.18/0.47  % (3123852)Termination reason: Refutation
% 0.18/0.47  % (3123852)Time elapsed: 0.004 s
% 0.18/0.47  % (3123852)Peak memory usage: 12 MB
% 0.18/0.47  % (3123852)Instructions burned: 9 (million)
% 0.18/0.47  % (3123841)Success in time 0.037 s
% 0.18/0.47  % Vampire exiting
%------------------------------------------------------------------------------