TSTP Solution File: SWW204+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.txOXxiTl8m true

% Computer : n010.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 01:41:09 EDT 2023

% Result   : Theorem 1.25s 0.92s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   32 (  13 unt;  10 typ;   0 def)
%            Number of atoms       :   36 (   5 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  225 (  11   ~;  10   |;   0   &; 200   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

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

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

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

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

thf(v_s_type,type,
    v_s: $i ).

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

thf(v_r_type,type,
    v_r: $i ).

thf(conj_0,conjecture,
    hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl542,plain,
    ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact__0960_A_060_061_Acmod_A_Is_A0_J_096,axiom,
    hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) ).

thf(zip_derived_cl7,plain,
    hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ),
    inference(cnf,[status(esa)],[fact__0960_A_060_061_Acmod_A_Is_A0_J_096]) ).

thf(fact_real__le__linear,axiom,
    ! [V_w: $i,V_z: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_w ) @ V_z ) )
      | ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_z ) @ V_w ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ X1 ) )
      | ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X1 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_real__le__linear]) ).

thf(zip_derived_cl542_001,plain,
    ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl742,plain,
    hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl542]) ).

thf(fact_real__le__trans,axiom,
    ! [V_k: $i,V_j: $i,V_i: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i ) @ V_j ) )
     => ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_j ) @ V_k ) )
       => ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i ) @ V_k ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ X1 ) )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 ) @ X0 ) )
      | ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_real__le__trans]) ).

thf(zip_derived_cl753,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ v_r ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl742,zip_derived_cl5]) ).

thf(fact_real__le__antisym,axiom,
    ! [V_w: $i,V_z: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_z ) @ V_w ) )
     => ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_w ) @ V_z ) )
       => ( V_z = V_w ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ X1 ) )
      | ( X1 = X0 )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X1 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_real__le__antisym]) ).

thf(zip_derived_cl784,plain,
    ! [X0: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ v_r ) )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ X0 ) )
      | ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl753,zip_derived_cl6]) ).

thf(zip_derived_cl865,plain,
    ( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
      = ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) )
    | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) @ v_r ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl784]) ).

thf(fact_assms,axiom,
    ! [B_n: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ B_n ) ) ) @ v_r ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ X0 ) ) ) @ v_r ) ),
    inference(cnf,[status(esa)],[fact_assms]) ).

thf(zip_derived_cl869,plain,
    ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
    = ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl865,zip_derived_cl1]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ v_s @ X0 ) ) ) @ v_r ) ),
    inference(cnf,[status(esa)],[fact_assms]) ).

thf(zip_derived_cl905,plain,
    hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ),
    inference('sup+',[status(thm)],[zip_derived_cl869,zip_derived_cl1]) ).

thf(zip_derived_cl906,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl905]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.txOXxiTl8m true
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 17:43:04 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.92  % Solved by fo/fo3_bce.sh.
% 1.25/0.92  % BCE start: 543
% 1.25/0.92  % BCE eliminated: 50
% 1.25/0.92  % PE start: 493
% 1.25/0.92  logic: eq
% 1.25/0.92  % PE eliminated: 0
% 1.25/0.92  % done 123 iterations in 0.203s
% 1.25/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.92  % SZS output start Refutation
% See solution above
% 1.25/0.92  
% 1.25/0.92  
% 1.25/0.93  % Terminating...
% 1.46/0.98  % Runner terminated.
% 1.60/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------