TSTP Solution File: SWW192+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW192+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.6haKClessb true

% Computer : n002.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 01:41:07 EDT 2023

% Result   : Theorem 0.56s 1.33s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   32 (  10 unt;  17 typ;   0 def)
%            Number of atoms       :   20 (  19 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  185 (   8   ~;   4   |;   0   &; 172   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   8 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

thf(c_Groups_Oplus__class_Oplus_type,type,
    c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).

thf(c_Int_OBit0_type,type,
    c_Int_OBit0: $i > $i ).

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

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

thf(v_y_____type,type,
    v_y____: $i ).

thf(c_Int_OBit1_type,type,
    c_Int_OBit1: $i > $i ).

thf(v_x_____type,type,
    v_x____: $i ).

thf(tc_RealDef_Oreal_type,type,
    tc_RealDef_Oreal: $i ).

thf(c_Complex_Ocomplex_OComplex_type,type,
    c_Complex_Ocomplex_OComplex: $i > $i > $i ).

thf(c_Power_Opower__class_Opower_type,type,
    c_Power_Opower__class_Opower: $i > $i ).

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

thf(c_Groups_Oone__class_Oone_type,type,
    c_Groups_Oone__class_Oone: $i > $i ).

thf(v_z_type,type,
    v_z: $i ).

thf(c_Int_OPls_type,type,
    c_Int_OPls: $i ).

thf(c_Int_Onumber__class_Onumber__of_type,type,
    c_Int_Onumber__class_Onumber__of: $i > $i > $i ).

thf(c_NthRoot_Osqrt_type,type,
    c_NthRoot_Osqrt: $i > $i ).

thf(fact_complex__norm,axiom,
    ! [V_y: $i,V_x: $i] :
      ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Complex_Ocomplex_OComplex @ V_x @ V_y ) )
      = ( c_NthRoot_Osqrt @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ V_x ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ V_y ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Complex_Ocomplex_OComplex @ X0 @ X1 ) )
      = ( c_NthRoot_Osqrt @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X0 ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X1 ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_complex__norm]) ).

thf(fact_real__sqrt__eq__1__iff,axiom,
    ! [V_xa_2: $i] :
      ( ( ( c_NthRoot_Osqrt @ V_xa_2 )
        = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
    <=> ( V_xa_2
        = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i] :
      ( ( X0
        = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
      | ( ( c_NthRoot_Osqrt @ X0 )
       != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
    inference(cnf,[status(esa)],[fact_real__sqrt__eq__1__iff]) ).

thf(zip_derived_cl9295,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X1 ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ X0 ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
        = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
      | ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Complex_Ocomplex_OComplex @ X1 @ X0 ) )
       != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl246]) ).

thf(conj_0,conjecture,
    ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ v_x____ ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ v_y____ ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
    = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ v_x____ ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ v_y____ ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
   != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1826,plain,
    ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ v_x____ ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ v_y____ ) @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) ) )
   != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9307,plain,
    ( ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) )
     != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
    | ( ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal )
     != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9295,zip_derived_cl1826]) ).

thf(fact_z,axiom,
    ( v_z
    = ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ) ).

thf(zip_derived_cl2,plain,
    ( v_z
    = ( c_Complex_Ocomplex_OComplex @ v_x____ @ v_y____ ) ),
    inference(cnf,[status(esa)],[fact_z]) ).

thf(fact_assms,axiom,
    ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z )
    = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ).

thf(zip_derived_cl1,plain,
    ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z )
    = ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
    inference(cnf,[status(esa)],[fact_assms]) ).

thf(zip_derived_cl9324,plain,
    ( ( ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal )
     != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) )
    | ( ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal )
     != ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9307,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl9325,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl9324]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW192+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6haKClessb true
% 0.13/0.34  % Computer : n002.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 20:56:49 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
% 0.13/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.33  % Solved by fo/fo6_bce.sh.
% 0.56/1.33  % BCE start: 1827
% 0.56/1.33  % BCE eliminated: 31
% 0.56/1.33  % PE start: 1796
% 0.56/1.33  logic: eq
% 0.56/1.33  % PE eliminated: -74
% 0.56/1.33  % done 271 iterations in 0.576s
% 0.56/1.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.33  % SZS output start Refutation
% See solution above
% 0.56/1.33  
% 0.56/1.33  
% 0.56/1.33  % Terminating...
% 5.07/1.36  % Runner terminated.
% 5.07/1.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------