TSTP Solution File: SYO085^5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO085^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 09:10:16 EDT 2024

% Result   : Theorem 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :  175 (  48 equ)
%            Maximal formula atoms :   10 (  10 avg)
%            Number of connectives :  102 (  39   ~;  33   |;  26   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :   96 (  96 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   5 usr;   7 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    d: $o ).

tff(func_def_1,type,
    c: $o ).

tff(func_def_2,type,
    b: $o ).

tff(func_def_3,type,
    a: $o ).

tff(func_def_4,type,
    s: $o ).

tff(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f10]) ).

tff(f10,plain,
    s != $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ( d = $true )
    & ( c = $true )
    & ( b = $true )
    & ( a = $true )
    & ( s != $true )
    & ( ( s = $true )
      | ( b != $true )
      | ( a != $true )
      | ( d != $true )
      | ( c != $true ) ) ),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ( ( d = $true )
    & ( c = $true )
    & ( b = $true )
    & ( a = $true )
    & ( s != $true )
    & ( ( s = $true )
      | ( b != $true )
      | ( a != $true )
      | ( d != $true )
      | ( c != $true ) ) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ( ( ( s = $true )
        | ~ ( ( b = $true )
            & ( a = $true ) )
        | ~ ( ( d = $true )
            & ( c = $true ) ) )
     => ( ~ ( ( d = $true )
            & ( c = $true ) )
        | ~ ( ( b = $true )
            & ( a = $true ) )
        | ( s = $true ) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ( ( s
        | ~ ( b
            & a )
        | ~ ( d
            & c ) )
     => ( ~ ( d
            & c )
        | ~ ( b
            & a )
        | s ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( s
        | ~ ( b
            & a )
        | ~ ( d
            & c ) )
     => ( ~ ( d
            & c )
        | ~ ( b
            & a )
        | s ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( s
      | ~ ( b
          & a )
      | ~ ( d
          & c ) )
   => ( ~ ( d
          & c )
      | ~ ( b
          & a )
      | s ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCOM_DMG02) ).

tff(f17,plain,
    s = $true,
    inference(trivial_inequality_removal,[],[f16]) ).

tff(f16,plain,
    ( ( s = $true )
    | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f15]) ).

tff(f15,plain,
    ( ( s = $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f9,f12,f11,f14,f13]) ).

tff(f13,plain,
    c = $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f14,plain,
    d = $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f11,plain,
    a = $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f12,plain,
    b = $true,
    inference(cnf_transformation,[],[f8]) ).

tff(f9,plain,
    ( ( s = $true )
    | ( b != $true )
    | ( a != $true )
    | ( d != $true )
    | ( c != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYO085^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n014.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 09:07:23 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (23210)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (23212)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39  % (23211)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.39  % (23213)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.39  % (23214)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.39  % (23215)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.39  % (23216)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.39  % (23217)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.39  Detected minimum model sizes of [1]
% 0.13/0.39  Detected minimum model sizes of [1]
% 0.13/0.39  Detected maximum model sizes of [3]
% 0.13/0.39  Detected maximum model sizes of [3]
% 0.13/0.39  Detected minimum model sizes of [1]
% 0.13/0.39  Detected maximum model sizes of [3]
% 0.13/0.39  % (23215)First to succeed.
% 0.13/0.39  Detected minimum model sizes of [1]
% 0.13/0.39  % (23216)Also succeeded, but the first one will report.
% 0.13/0.39  Detected maximum model sizes of [3]
% 0.13/0.39  % (23213)Also succeeded, but the first one will report.
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  % (23215)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23210"
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  % (23212)Also succeeded, but the first one will report.
% 0.13/0.39  % (23211)Also succeeded, but the first one will report.
% 0.13/0.39  % (23214)Also succeeded, but the first one will report.
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  % (23217)Also succeeded, but the first one will report.
% 0.13/0.39  % (23215)Refutation found. Thanks to Tanya!
% 0.13/0.39  % SZS status Theorem for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39  % (23215)------------------------------
% 0.13/0.39  % (23215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39  % (23215)Termination reason: Refutation
% 0.13/0.39  
% 0.13/0.39  % (23215)Memory used [KB]: 730
% 0.13/0.39  % (23215)Time elapsed: 0.005 s
% 0.13/0.39  % (23215)Instructions burned: 2 (million)
% 0.13/0.39  % (23210)Success in time 0.031 s
%------------------------------------------------------------------------------