TSTP Solution File: SYO023^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO023^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:02:16 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   23 (  17 unt;   1 typ;   0 def)
%            Number of atoms       :   69 (  26 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  100 (  63   ~;  21   |;  12   &;   4   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   43 (  42   ^   0   !;   0   ?;  43   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_10,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f40,plain,
    $false,
    inference(trivial_inequality_removal,[],[f39]) ).

thf(f39,plain,
    ( ( ^ [Y0: $o] : Y0 )
   != ( ^ [Y0: $o] : Y0 ) ),
    inference(boolean_simplification,[],[f38]) ).

thf(f38,plain,
    ( ( ^ [Y0: $o] :
          ~ ~ Y0 )
   != ( ^ [Y0: $o] : Y0 ) ),
    inference(boolean_simplification,[],[f37]) ).

thf(f37,plain,
    ( ( ^ [Y0: $o] :
          ~ ( ~ Y0
            | $false ) )
   != ( ^ [Y0: $o] : Y0 ) ),
    inference(boolean_simplification,[],[f36]) ).

thf(f36,plain,
    ( ( ^ [Y0: $o] :
          ~ ( ~ Y0
            | ~ $true ) )
   != ( ^ [Y0: $o] : Y0 ) ),
    inference(boolean_simplification,[],[f35]) ).

thf(f35,plain,
    ( ( ^ [Y0: $o] :
          ~ ( ~ Y0
            | ~ $true ) )
   != ( ^ [Y0: $o] :
          ( Y0
          & $true ) ) ),
    inference(backward_demodulation,[],[f9,f34]) ).

thf(f34,plain,
    $true = sK2,
    inference(duplicate_literal_removal,[],[f33]) ).

thf(f33,plain,
    ( ( $true = sK2 )
    | ( $true = sK2 ) ),
    inference(not_proxy_clausification,[],[f30]) ).

thf(f30,plain,
    ( ( $true = sK2 )
    | ( ~ sK2 = $false ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f29,plain,
    ( ( $true = sK2 )
    | ( ( ~ sK3
        | ~ sK2 )
      = $false ) ),
    inference(not_proxy_clausification,[],[f21]) ).

thf(f21,plain,
    ( ( $true = sK2 )
    | ( $true
      = ( ~ ( ~ sK3
            | ~ sK2 ) ) ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f12,plain,
    ( ( ( sK3
        & sK2 )
      = $true )
    | ( $true
      = ( ~ ( ~ sK3
            | ~ sK2 ) ) ) ),
    inference(binary_proxy_clausification,[],[f11]) ).

thf(f11,plain,
    ( ( sK3
      & sK2 )
   != ( ~ ( ~ sK3
          | ~ sK2 ) ) ),
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ( ( ^ [Y0: $o] :
          ( Y0
          & sK2 )
      @ sK3 )
   != ( ^ [Y0: $o] :
          ~ ( ~ Y0
            | ~ sK2 )
      @ sK3 ) ),
    inference(negative_extensionality,[],[f9]) ).

thf(f9,plain,
    ( ( ^ [Y0: $o] :
          ( Y0
          & sK2 ) )
   != ( ^ [Y0: $o] :
          ~ ( ~ Y0
            | ~ sK2 ) ) ),
    inference(beta_eta_normalization,[],[f8]) ).

thf(f8,plain,
    ( ( ^ [Y0: $o,Y1: $o] :
          ~ ( ~ Y1
            | ~ Y0 )
      @ sK2 )
   != ( ^ [Y0: $o,Y1: $o] :
          ( Y1
          & Y0 )
      @ sK2 ) ),
    inference(negative_extensionality,[],[f7]) ).

thf(f7,plain,
    ( ( ^ [Y0: $o,Y1: $o] :
          ( Y1
          & Y0 ) )
   != ( ^ [Y0: $o,Y1: $o] :
          ~ ( ~ Y1
            | ~ Y0 ) ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( ( ^ [Y0: $o,Y1: $o] :
          ( Y1
          & Y0 ) )
   != ( ^ [Y0: $o,Y1: $o] :
          ~ ( ~ Y1
            | ~ Y0 ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ( ( ^ [Y0: $o,Y1: $o] :
          ( Y1
          & Y0 ) )
   != ( ^ [Y0: $o,Y1: $o] :
          ~ ( ~ Y1
            | ~ Y0 ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ( ( ^ [X0: $o,X1: $o] :
          ~ ( ~ X0
            | ~ X1 ) )
   != ( ^ [X2: $o,X3: $o] :
          ( X2
          & X3 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ( ( ^ [X2: $o,X3: $o] :
          ~ ( ~ X2
            | ~ X3 ) )
   != ( ^ [X0: $o,X1: $o] :
          ( X0
          & X1 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ^ [X2: $o,X3: $o] :
          ~ ( ~ X2
            | ~ X3 ) )
    = ( ^ [X0: $o,X1: $o] :
          ( X0
          & X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO023^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 08:44:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % (19602)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37  % (19604)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.13/0.37  % (19603)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.13/0.37  % (19605)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (19606)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (19607)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.13/0.37  % (19608)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37  % (19605)First to succeed.
% 0.13/0.37  % (19606)Refutation not found, incomplete strategy
% 0.13/0.37  % (19606)------------------------------
% 0.13/0.37  % (19606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (19606)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (19606)Memory used [KB]: 5500
% 0.13/0.37  % (19606)Time elapsed: 0.004 s
% 0.13/0.37  % (19606)Instructions burned: 1 (million)
% 0.13/0.37  % (19606)------------------------------
% 0.13/0.37  % (19606)------------------------------
% 0.13/0.37  % (19602)Also succeeded, but the first one will report.
% 0.13/0.37  % (19605)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (19605)------------------------------
% 0.13/0.37  % (19605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (19605)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (19605)Memory used [KB]: 5500
% 0.13/0.37  % (19605)Time elapsed: 0.004 s
% 0.13/0.37  % (19605)Instructions burned: 1 (million)
% 0.13/0.37  % (19605)------------------------------
% 0.13/0.37  % (19605)------------------------------
% 0.13/0.37  % (19601)Success in time 0.005 s
% 0.13/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------