TSTP Solution File: SWW350+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW350+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c7XRmnrQ2t true

% Computer : n018.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 : Fri Sep  1 01:41:40 EDT 2023

% Result   : Theorem 1.28s 1.61s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   46 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   76 (  53 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  212 (  24   ~;  34   |;   0   &; 150   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Natural_Oevalc_type,type,
    c_Natural_Oevalc: $i > $i ).

thf(sk__8_type,type,
    sk__8: $i > $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(v_c_type,type,
    v_c: $i ).

thf(c_Com_Ocom_OSKIP_type,type,
    c_Com_Ocom_OSKIP: $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(v_s_H_type,type,
    v_s_H: $i ).

thf(v_Z_type,type,
    v_Z: $i ).

thf(conj_1,axiom,
    ! [B_Z_H: $i] :
      ( ! [B_s1: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ B_s1 ) )
         => ( B_Z_H = B_s1 ) )
     => ( B_Z_H = v_s_H ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ ( sk__8 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl58_001,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ ( sk__8 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(fact_com__det,axiom,
    ! [V_u: $i,V_t: $i,V_s: $i,V_c: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ V_c ) @ V_s ) @ V_t ) )
     => ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ V_c ) @ V_s ) @ V_u ) )
       => ( V_u = V_t ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ X2 ) @ X3 ) @ X0 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ X2 ) @ X3 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_com__det]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = v_s_H )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ X1 ) )
      | ( X1
        = ( sk__8 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl1]) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = v_s_H )
      | ( ( sk__8 @ X0 )
        = ( sk__8 @ X1 ) )
      | ( X1 = v_s_H ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl124]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( X0
       != ( sk__8 @ X0 ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl201,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( sk__8 @ X0 ) )
      | ( X1 = v_s_H )
      | ( X0 = v_s_H )
      | ( X1 = v_s_H ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl57]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = v_s_H )
      | ( X1 = v_s_H )
      | ( X1
       != ( sk__8 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl201]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ X0 )
        = v_s_H )
      | ( X0 = v_s_H ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl245]) ).

thf(zip_derived_cl261_002,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ X0 )
        = v_s_H )
      | ( X0 = v_s_H ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl245]) ).

thf(zip_derived_cl58_003,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ ( sk__8 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl57_004,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( X0
       != ( sk__8 @ X0 ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(conj_3,conjecture,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) ),
    inference('cnf.neg',[status(esa)],[conj_3]) ).

thf(zip_derived_cl59,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ X0 ) )
      | ( X0
       != ( sk__8 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl59]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( ( sk__8 @ X0 )
       != ( sk__8 @ ( sk__8 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl61]) ).

thf(zip_derived_cl274,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ X0 )
       != ( sk__8 @ v_s_H ) )
      | ( X0 = v_s_H )
      | ( X0 = v_s_H ) ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl125]) ).

thf(zip_derived_cl297,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( ( sk__8 @ X0 )
       != ( sk__8 @ v_s_H ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl274]) ).

thf(zip_derived_cl324,plain,
    ! [X0: $i] :
      ( ( v_s_H
       != ( sk__8 @ v_s_H ) )
      | ( X0 = v_s_H )
      | ( X0 = v_s_H ) ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl297]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( v_s_H
       != ( sk__8 @ v_s_H ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl324]) ).

thf(fact_evalc_OSkip,axiom,
    ! [V_s: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ c_Com_Ocom_OSKIP ) @ V_s ) @ V_s ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ c_Com_Ocom_OSKIP ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[fact_evalc_OSkip]) ).

thf(zip_derived_cl360,plain,
    ( ( hBOOL @ v_s_H )
    | ( v_s_H
     != ( sk__8 @ v_s_H ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl341,zip_derived_cl2]) ).

thf(zip_derived_cl341_005,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( v_s_H
       != ( sk__8 @ v_s_H ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl324]) ).

thf(zip_derived_cl59_006,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    ( ~ ( hBOOL @ v_s_H )
    | ( v_s_H
     != ( sk__8 @ v_s_H ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl59]) ).

thf(zip_derived_cl433,plain,
    ( v_s_H
   != ( sk__8 @ v_s_H ) ),
    inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl367]) ).

thf(zip_derived_cl261_007,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ X0 )
        = v_s_H )
      | ( X0 = v_s_H ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl245]) ).

thf(zip_derived_cl58_008,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ ( sk__8 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) )
      | ( X0 = v_s_H )
      | ( X0 = v_s_H ) ),
    inference('sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl58]) ).

thf(zip_derived_cl295,plain,
    ! [X0: $i] :
      ( ( X0 = v_s_H )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl59_009,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Natural_Oevalc @ v_c ) @ v_Z ) @ v_s_H ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ! [X0: $i] : ( X0 = v_s_H ),
    inference(clc,[status(thm)],[zip_derived_cl295,zip_derived_cl59]) ).

thf(zip_derived_cl506,plain,
    v_s_H != v_s_H,
    inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl491]) ).

thf(zip_derived_cl507,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl506]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW350+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.c7XRmnrQ2t true
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 19:18:46 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/1.61  % Solved by fo/fo4.sh.
% 1.28/1.61  % done 47 iterations in 0.804s
% 1.28/1.61  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/1.61  % SZS output start Refutation
% See solution above
% 1.28/1.61  
% 1.28/1.61  
% 1.28/1.61  % Terminating...
% 7.60/1.79  % Runner terminated.
% 7.68/1.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------