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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW232+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UYhi8aOLN6 true

% Computer : n005.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 : Thu Oct  2 05:02:28 PM UTC 2025

% Result   : Theorem 55.72s 8.60s
% Output   : Refutation 55.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  167 (  10   ~;   5   |;   0   &; 148   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   8 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  16   !;   2   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(v_cs_____type,type,
    v_cs____: $i ).

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

thf(sk__27_type,type,
    sk__27: $i > $i ).

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

thf(c_Polynomial_OpCons_type,type,
    c_Polynomial_OpCons: $i > $i > $i > $i ).

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

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

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

thf(v_aa_____type,type,
    v_aa____: $i ).

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

thf(c_Polynomial_Opoly_type,type,
    c_Polynomial_Opoly: $i > $i > $i ).

thf(v_da_____type,type,
    v_da____: $i ).

thf(v_c_____type,type,
    v_c____: $i ).

thf(tc_Polynomial_Opoly_type,type,
    tc_Polynomial_Opoly: $i > $i ).

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

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

thf(conj_0,axiom,
    ( ? [B_r: $i] :
      ! [B_z: $i] :
        ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ B_r @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ B_z ) )
       => ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ v_da____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_c____ @ v_cs____ ) ) @ B_z ) ) ) )
   => v_thesis____ ) ).

thf(zip_derived_cl399,plain,
    ! [X0: $i] :
      ( v_thesis____
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( sk__27 @ 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_cl400,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1964,plain,
    ! [X0: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( sk__27 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl399,zip_derived_cl400]) ).

thf(fact_pCons_Ohyps,axiom,
    ! [V_a: $i,V_d: $i] :
      ( ( v_cs____
       != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
     => ? [B_r: $i] :
        ! [B_z: $i] :
          ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ B_r @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ B_z ) )
         => ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_d @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ V_a @ v_cs____ ) ) @ B_z ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v_cs____
        = ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
      | ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( sk__1 @ X0 @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X2 ) )
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ X1 @ v_cs____ ) ) @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[fact_pCons_Ohyps]) ).

thf(fact_H,axiom,
    ( v_cs____
   != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).

thf(zip_derived_cl1,plain,
    ( v_cs____
   != ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference(cnf,[status(esa)],[fact_H]) ).

thf(zip_derived_cl2033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( sk__1 @ X0 @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X2 ) )
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ X1 @ v_cs____ ) ) @ X2 ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl2643,plain,
    ! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X1 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ X0 @ v_cs____ ) ) @ ( sk__27 @ ( sk__1 @ X1 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1964,zip_derived_cl2033]) ).

thf(zip_derived_cl398,plain,
    ! [X0: $i] :
      ( v_thesis____
      | ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ v_da____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_c____ @ v_cs____ ) ) @ ( sk__27 @ X0 ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl400_001,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1963,plain,
    ! [X0: $i] :
      ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ v_da____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ v_c____ @ v_cs____ ) ) @ ( sk__27 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl398,zip_derived_cl400]) ).

thf(zip_derived_cl45797,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl2643,zip_derived_cl1963]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW232+1 : TPTP v9.2.0. 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.UYhi8aOLN6 true
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 11:54:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.57/0.66  % Total configuration time : 435
% 0.57/0.66  % Estimated wc time : 1092
% 0.57/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 55.72/8.60  % Solved by fo/fo3_bce.sh.
% 55.72/8.60  % BCE start: 401
% 55.72/8.60  % BCE eliminated: 15
% 55.72/8.60  % PE start: 386
% 55.72/8.60  logic: eq
% 55.72/8.60  % PE eliminated: 4
% 55.72/8.60  % done 5098 iterations in 7.853s
% 55.72/8.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 55.72/8.60  % SZS output start Refutation
% See solution above
% 55.72/8.60  
% 55.72/8.60  
% 55.72/8.60  % Terminating...
% 56.39/8.68  % Runner terminated.
% 56.39/8.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------