TSTP Solution File: SWW220+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW220+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.eGpwHGLJP6 true

% Computer : n013.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 01:41:13 EDT 2023

% Result   : Theorem 182.16s 26.66s
% Output   : Refutation 182.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   41 (  11 unt;  18 typ;   0 def)
%            Number of atoms       :   45 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  236 (  23   ~;  15   |;   1   &; 191   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :   32 (   0   ^;  27   !;   5   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
    tc_RealDef_Oreal: $i ).

thf(tc_Complex_Ocomplex_type,type,
    tc_Complex_Ocomplex: $i ).

thf(v_g_____type,type,
    v_g____: $i > $i ).

thf(sk__81_type,type,
    sk__81: $i > $i > $i > $i ).

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

thf(sk__80_type,type,
    sk__80: $i > $i > $i ).

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

thf(c_Orderings_Oord__class_Oless_type,type,
    c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(c_RealVector_Onorm__class_Onorm_type,type,
    c_RealVector_Onorm__class_Onorm: $i > $i > $i ).

thf(c_Orderings_Oord__class_Oless__eq_type,type,
    c_Orderings_Oord__class_Oless__eq: $i > $i > $i ).

thf(v_thesis_____type,type,
    v_thesis____: $o ).

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

thf(c_Groups_Ominus__class_Ominus_type,type,
    c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

thf(c_SEQ_Osubseq_type,type,
    c_SEQ_Osubseq: $i > $o ).

thf(conj_0,axiom,
    ! [B_f: $i] :
      ( ( c_SEQ_Osubseq @ B_f )
     => ( ? [B_z: $i] :
          ! [B_e: $i] :
            ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ B_e )
           => ? [B_N: $i] :
              ! [B_n: $i] :
                ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ B_N ) @ B_n ) )
               => ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_g____ @ ( hAPP @ B_f @ B_n ) ) @ B_z ) ) @ B_e ) ) )
       => v_thesis____ ) ) ).

thf(zip_derived_cl1757,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( v_thesis____
      | ~ ( c_SEQ_Osubseq @ X0 )
      | ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X1 ) @ ( sk__81 @ X1 @ X2 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(conj_1,conjecture,
    v_thesis____ ).

thf(zf_stmt_0,negated_conjecture,
    ~ v_thesis____,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl1758,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4254,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X2 ) @ ( sk__81 @ X2 @ X1 @ X0 ) ) )
      | ~ ( c_SEQ_Osubseq @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1757,zip_derived_cl1758]) ).

thf(zip_derived_cl1755,plain,
    ! [X0: $i,X1: $i] :
      ( v_thesis____
      | ~ ( c_SEQ_Osubseq @ X0 )
      | ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__80 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl1758_001,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4252,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__80 @ X1 @ X0 ) )
      | ~ ( c_SEQ_Osubseq @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1755,zip_derived_cl1758]) ).

thf(fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096,axiom,
    ? [B_f: $i] :
      ( ? [B_z: $i] :
        ! [B_e: $i] :
          ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ B_e )
         => ? [B_N: $i] :
            ! [B_n: $i] :
              ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ B_N ) @ B_n ) )
             => ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_g____ @ ( hAPP @ B_f @ B_n ) ) @ B_z ) ) @ B_e ) ) )
      & ( c_SEQ_Osubseq @ B_f ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( sk__3 @ X0 ) ) @ X1 ) )
      | ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_g____ @ ( hAPP @ sk__1 @ X1 ) ) @ sk__2 ) ) @ X0 )
      | ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
    inference(cnf,[status(esa)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096]) ).

thf(zip_derived_cl1756,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( v_thesis____
      | ~ ( c_SEQ_Osubseq @ X0 )
      | ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_g____ @ ( hAPP @ X0 @ ( sk__81 @ X1 @ X2 @ X0 ) ) ) @ X2 ) ) @ ( sk__80 @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl1758_002,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ ( v_g____ @ ( hAPP @ X0 @ ( sk__81 @ X2 @ X1 @ X0 ) ) ) @ X1 ) ) @ ( sk__80 @ X1 @ X0 ) )
      | ~ ( c_SEQ_Osubseq @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1756,zip_derived_cl1758]) ).

thf(zip_derived_cl25497,plain,
    ! [X0: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__80 @ sk__2 @ sk__1 ) )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( sk__3 @ ( sk__80 @ sk__2 @ sk__1 ) ) ) @ ( sk__81 @ X0 @ sk__2 @ sk__1 ) ) )
      | ~ ( c_SEQ_Osubseq @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4253]) ).

thf(zip_derived_cl3,plain,
    c_SEQ_Osubseq @ sk__1,
    inference(cnf,[status(esa)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096]) ).

thf(zip_derived_cl25518,plain,
    ! [X0: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( sk__80 @ sk__2 @ sk__1 ) )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( sk__3 @ ( sk__80 @ sk__2 @ sk__1 ) ) ) @ ( sk__81 @ X0 @ sk__2 @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25497,zip_derived_cl3]) ).

thf(zip_derived_cl105143,plain,
    ! [X0: $i] :
      ( ~ ( c_SEQ_Osubseq @ sk__1 )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( sk__3 @ ( sk__80 @ sk__2 @ sk__1 ) ) ) @ ( sk__81 @ X0 @ sk__2 @ sk__1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4252,zip_derived_cl25518]) ).

thf(zip_derived_cl3_003,plain,
    c_SEQ_Osubseq @ sk__1,
    inference(cnf,[status(esa)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096]) ).

thf(zip_derived_cl105145,plain,
    ! [X0: $i] :
      ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( sk__3 @ ( sk__80 @ sk__2 @ sk__1 ) ) ) @ ( sk__81 @ X0 @ sk__2 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105143,zip_derived_cl3]) ).

thf(zip_derived_cl105877,plain,
    ~ ( c_SEQ_Osubseq @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4254,zip_derived_cl105145]) ).

thf(zip_derived_cl3_004,plain,
    c_SEQ_Osubseq @ sk__1,
    inference(cnf,[status(esa)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096]) ).

thf(zip_derived_cl105885,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl105877,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW220+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.eGpwHGLJP6 true
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 17:26:32 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 1.11/0.78  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.11/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.91  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 182.16/26.66  % Solved by fo/fo6_bce.sh.
% 182.16/26.66  % BCE start: 1759
% 182.16/26.66  % BCE eliminated: 18
% 182.16/26.66  % PE start: 1741
% 182.16/26.66  logic: eq
% 182.16/26.66  % PE eliminated: 36
% 182.16/26.66  % done 4194 iterations in 25.858s
% 182.16/26.66  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 182.16/26.66  % SZS output start Refutation
% See solution above
% 182.16/26.66  
% 182.16/26.66  
% 182.16/26.66  % Terminating...
% 182.49/26.76  % Runner terminated.
% 182.49/26.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------