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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR125^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 : Wed Sep 30 07:47:15 AM UTC 2026

% Result   : Theorem 0.18s 0.26s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   71 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   62 (  10   ~;   0   |;   0   &;  52   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    num: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(func_def_4,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_5,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_8,type,
    vNOT: $o > $o ).

thf(f1,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(f3,axiom,
    ! [X0: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

thf(f4,conjecture,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(f5,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

thf(f6,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(rectify,[],[f1]) ).

thf(f7,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[],[f6]) ).

thf(f10,plain,
    ! [X0: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    inference(rectify,[],[f3]) ).

thf(f11,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
      = $true ),
    inference(fool_elimination,[],[f10]) ).

thf(f12,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
    inference(rectify,[],[f5]) ).

thf(f13,plain,
    ( $true
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
    inference(fool_elimination,[],[f12]) ).

thf(f14,plain,
    ( $true
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
    inference(flattening,[],[f13]) ).

thf(f15,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f17,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
      = $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f18,plain,
    ( $true
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f34,plain,
    ( $true
    = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(constrained_superposition,[],[f17,f15]) ).

thf(f37,plain,
    ( $true
    = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
    inference(boolean_simplification,[],[f34]) ).

thf(f47,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f37,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR125^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n003.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 17:56:59 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.18/0.26  % (2841872)Will run a generic schedule for satisfiability detection.
% 0.18/0.26  % (2841878)% WARNING: option uhcvi not known.
% 0.18/0.26  % (2841878)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2168261716:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.26  % (2841878)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.18/0.26  % (2841878)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.18/0.26  % (2841878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2841872-2841878"...
% 0.18/0.26  % (2841878)...printing done.
% 0.18/0.26  % (2841878)Refutation found. Thanks to Tanya!
% 0.18/0.26  % SZS status Theorem for theBenchmark
% 0.18/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27  % (2841878)------------------------------
% 0.18/0.27  % (2841878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27  % (2841878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27  % (2841878)CaDiCaL version: 2.1.3
% 0.18/0.27  % (2841878)Termination reason: Refutation
% 0.18/0.27  % (2841878)Time elapsed: 0.001 s
% 0.18/0.27  % (2841878)Peak memory usage: 12 MB
% 0.18/0.27  % (2841878)Instructions burned: 2 (million)
% 0.18/0.27  % (2841872)Success in time 0.033 s
% 0.18/0.27  % Vampire exiting
%------------------------------------------------------------------------------