TSTP Solution File: SWW294+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW294+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.qBrj5goadq true

% Computer : n001.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 01:41:27 EDT 2023

% Result   : Theorem 27.79s 4.68s
% Output   : Refutation 27.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   25 (   5 unt;  15 typ;   0 def)
%            Number of atoms       :   18 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   90 (   9   ~;   2   |;   0   &;  73   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__84_type,type,
    sk__84: $i ).

thf(tc_Nat_Onat_type,type,
    tc_Nat_Onat: $i ).

thf(c_Nat_OSuc_type,type,
    c_Nat_OSuc: $i ).

thf(sk__20_type,type,
    sk__20: $i > $i > $i > $i > $i ).

thf(sk__85_type,type,
    sk__85: $i ).

thf(c_Com_Ocom_OBODY_type,type,
    c_Com_Ocom_OBODY: $i ).

thf(v_pn_type,type,
    v_pn: $i ).

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

thf(c_Option_Othe_type,type,
    c_Option_Othe: $i > $i ).

thf(c_Natural_Oevaln_type,type,
    c_Natural_Oevaln: $i > $i > $i > $i > $o ).

thf(c_Com_Obody_type,type,
    c_Com_Obody: $i ).

thf(v_P_type,type,
    v_P: $i > $i > $o ).

thf(v_Q_type,type,
    v_Q: $i > $i > $o ).

thf(c_Groups_Ozero__class_Ozero_type,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

thf(tc_Com_Ocom_type,type,
    tc_Com_Ocom: $i ).

thf(conj_0,conjecture,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_P @ B_Z @ B_s )
     => ! [B_s_H: $i] :
          ( ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) @ B_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) @ B_s_H )
         => ( v_Q @ B_Z @ B_s_H ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_Z: $i,B_s: $i] :
        ( ( v_P @ B_Z @ B_s )
       => ! [B_s_H: $i] :
            ( ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) @ B_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) @ B_s_H )
           => ( v_Q @ B_Z @ B_s_H ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1327,plain,
    c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) @ sk__84 @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) @ sk__85,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_evaln__elim__cases_I6_J,axiom,
    ! [V_s1: $i,V_n: $i,V_s: $i,V_P: $i] :
      ( ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ V_P ) @ V_s @ V_n @ V_s1 )
     => ~ ! [B_n: $i] :
            ( ( V_n
              = ( hAPP @ c_Nat_OSuc @ B_n ) )
           => ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ V_P ) ) @ V_s @ B_n @ V_s1 ) ) ) ).

thf(zip_derived_cl251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2
        = ( hAPP @ c_Nat_OSuc @ ( sk__20 @ X0 @ X1 @ X2 @ X3 ) ) )
      | ~ ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ X0 ) @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_evaln__elim__cases_I6_J]) ).

thf(fact_Suc__neq__Zero,axiom,
    ! [V_m: $i] :
      ( ( hAPP @ c_Nat_OSuc @ V_m )
     != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] :
      ( ( hAPP @ c_Nat_OSuc @ X0 )
     != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
    inference(cnf,[status(esa)],[fact_Suc__neq__Zero]) ).

thf(zip_derived_cl3873,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0
       != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
      | ~ ( c_Natural_Oevaln @ ( hAPP @ c_Com_Ocom_OBODY @ X3 ) @ X2 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl251,zip_derived_cl263]) ).

thf(zip_derived_cl16077,plain,
    ( ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat )
   != ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1327,zip_derived_cl3873]) ).

thf(zip_derived_cl16078,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl16077]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW294+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qBrj5goadq true
% 0.13/0.35  % Computer : n001.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 : Sun Aug 27 21:04:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 27.79/4.68  % Solved by fo/fo3_bce.sh.
% 27.79/4.68  % BCE start: 1328
% 27.79/4.68  % BCE eliminated: 2
% 27.79/4.68  % PE start: 1326
% 27.79/4.68  logic: eq
% 27.79/4.68  % PE eliminated: 35
% 27.79/4.68  % done 1665 iterations in 3.901s
% 27.79/4.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.79/4.68  % SZS output start Refutation
% See solution above
% 27.79/4.68  
% 27.79/4.68  
% 27.79/4.68  % Terminating...
% 29.01/4.79  % Runner terminated.
% 29.01/4.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------