TSTP Solution File: SYO025^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO025^1 : 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 : n008.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 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   34 (  15 unt;   1 typ;   0 def)
%            Number of atoms       :  185 (  58 equ;   8 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  126 (  66   ~;  44   |;  12   &;   4   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (  16   ^   0   !;   0   ?;  17   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(f39,plain,
    $false,
    inference(trivial_inequality_removal,[],[f38]) ).

thf(f38,plain,
    $false = $true,
    inference(superposition,[],[f36,f34]) ).

thf(f34,plain,
    sK3 = $true,
    inference(duplicate_literal_removal,[],[f33]) ).

thf(f33,plain,
    ( ( sK3 = $true )
    | ( sK3 = $true ) ),
    inference(not_proxy_clausification,[],[f30]) ).

thf(f30,plain,
    ( ( sK3 = $true )
    | ( $false = ~ sK3 ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(f36,plain,
    sK3 = $false,
    inference(trivial_inequality_removal,[],[f35]) ).

thf(f35,plain,
    ( ( $false = $true )
    | ( sK3 = $false ) ),
    inference(forward_demodulation,[],[f20,f27]) ).

thf(f27,plain,
    $true = sK2,
    inference(duplicate_literal_removal,[],[f26]) ).

thf(f26,plain,
    ( ( $true = sK2 )
    | ( $true = sK2 ) ),
    inference(not_proxy_clausification,[],[f25]) ).

thf(f25,plain,
    ( ( $false = ~ sK2 )
    | ( $true = sK2 ) ),
    inference(binary_proxy_clausification,[],[f23]) ).

thf(f23,plain,
    ( ( $true = sK2 )
    | ( $false
      = ( ~ sK2
        | ~ sK3 ) ) ),
    inference(not_proxy_clausification,[],[f22]) ).

thf(f22,plain,
    ( ( ( ~ ( ~ sK2
            | ~ sK3 ) )
      = $true )
    | ( $true = sK2 ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f20,plain,
    ( ( $false = sK2 )
    | ( sK3 = $false ) ),
    inference(duplicate_literal_removal,[],[f19]) ).

thf(f19,plain,
    ( ( sK3 = $false )
    | ( $false = sK2 )
    | ( $false = sK2 ) ),
    inference(not_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ( ( $false = sK2 )
    | ( $true = ~ sK2 )
    | ( sK3 = $false ) ),
    inference(duplicate_literal_removal,[],[f17]) ).

thf(f17,plain,
    ( ( sK3 = $false )
    | ( $true = ~ sK2 )
    | ( sK3 = $false )
    | ( $false = sK2 ) ),
    inference(not_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ( ( $true = ~ sK3 )
    | ( sK3 = $false )
    | ( $true = ~ sK2 )
    | ( $false = sK2 ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ( ( $false = sK2 )
    | ( $true
      = ( ~ sK2
        | ~ sK3 ) )
    | ( sK3 = $false ) ),
    inference(not_proxy_clausification,[],[f14]) ).

thf(f14,plain,
    ( ( sK3 = $false )
    | ( $false = sK2 )
    | ( ( ~ ( ~ sK2
            | ~ sK3 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f13,plain,
    ( ( ( sK2
        & sK3 )
      = $false )
    | ( ( ~ ( ~ sK2
            | ~ sK3 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO025^1 : TPTP v8.2.0. Released v3.7.0.
% 0.14/0.14  % 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
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 10:00:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.36  This is a TH0_THM_EQU_NAR problem
% 0.22/0.36  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
% 0.22/0.39  % (6194)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39  % (6197)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 (2999ds/27Mi)
% 0.22/0.39  % (6196)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 (2999ds/4Mi)
% 0.22/0.39  % (6198)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39  % (6199)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 (2999ds/2Mi)
% 0.22/0.39  % (6201)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39  % (6200)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 (2999ds/275Mi)
% 0.22/0.39  % (6202)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.39  % (6198)Instruction limit reached!
% 0.22/0.39  % (6198)------------------------------
% 0.22/0.39  % (6198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (6198)Termination reason: Unknown
% 0.22/0.39  % (6199)Instruction limit reached!
% 0.22/0.39  % (6199)------------------------------
% 0.22/0.39  % (6199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (6198)Termination phase: Saturation
% 0.22/0.39  
% 0.22/0.39  % (6198)Memory used [KB]: 5500
% 0.22/0.39  % (6198)Time elapsed: 0.005 s
% 0.22/0.39  % (6198)Instructions burned: 2 (million)
% 0.22/0.39  % (6198)------------------------------
% 0.22/0.39  % (6198)------------------------------
% 0.22/0.39  % (6199)Termination reason: Unknown
% 0.22/0.39  % (6199)Termination phase: Saturation
% 0.22/0.39  
% 0.22/0.39  % (6199)Memory used [KB]: 5500
% 0.22/0.39  % (6199)Time elapsed: 0.005 s
% 0.22/0.39  % (6199)Instructions burned: 2 (million)
% 0.22/0.39  % (6199)------------------------------
% 0.22/0.39  % (6199)------------------------------
% 0.22/0.39  % (6200)First to succeed.
% 0.22/0.39  % (6202)Refutation not found, incomplete strategy
% 0.22/0.39  % (6202)------------------------------
% 0.22/0.39  % (6202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (6202)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39  
% 0.22/0.39  
% 0.22/0.39  % (6202)Memory used [KB]: 5500
% 0.22/0.39  % (6202)Time elapsed: 0.005 s
% 0.22/0.39  % (6202)Instructions burned: 2 (million)
% 0.22/0.39  % (6202)------------------------------
% 0.22/0.39  % (6202)------------------------------
% 0.22/0.40  % (6201)Also succeeded, but the first one will report.
% 0.22/0.40  % (6200)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Theorem for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (6200)------------------------------
% 0.22/0.40  % (6200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (6200)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (6200)Memory used [KB]: 5500
% 0.22/0.40  % (6200)Time elapsed: 0.006 s
% 0.22/0.40  % (6200)Instructions burned: 2 (million)
% 0.22/0.40  % (6200)------------------------------
% 0.22/0.40  % (6200)------------------------------
% 0.22/0.40  % (6193)Success in time 0.018 s
% 0.22/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------