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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW209+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ecwsjiI5KT true

% Computer : n029.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 05:02:25 PM UTC 2025

% Result   : Theorem 1.38s 0.92s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  176 (   7   ~;   2   |;   0   &; 163   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

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

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

thf(c_Fun_Ocomp_type,type,
    c_Fun_Ocomp: $i > $i > $i > $i > $i ).

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

thf(v_ga_____type,type,
    v_ga____: $i ).

thf(v_f_____type,type,
    v_f____: $i ).

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

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

thf(fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096,axiom,
    ! [B_m: $i,B_n: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ B_m @ B_n )
     => ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ v_ga____ @ B_m ) @ ( hAPP @ v_ga____ @ B_n ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ v_ga____ @ X0 ) @ ( hAPP @ v_ga____ @ X1 ) )
      | ~ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096]) ).

thf(fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096,axiom,
    ! [B_m: $i,B_n: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ B_m @ B_n )
     => ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ v_f____ @ B_m ) @ ( hAPP @ v_f____ @ B_n ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ v_f____ @ X0 ) @ ( hAPP @ v_f____ @ X1 ) )
      | ~ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096]) ).

thf(conj_0,conjecture,
    ! [B_m: $i,B_n: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ B_m @ B_n )
     => ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ ) @ v_ga____ ) @ B_m ) @ ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ ) @ v_ga____ ) @ B_n ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_m: $i,B_n: $i] :
        ( ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ B_m @ B_n )
       => ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ ) @ v_ga____ ) @ B_m ) @ ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ ) @ v_ga____ ) @ B_n ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl105,plain,
    ~ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ ) @ v_ga____ ) @ sk__1 ) @ ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ tc_Nat_Onat @ tc_Nat_Onat @ tc_Nat_Onat @ v_f____ ) @ v_ga____ ) @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_o__apply,axiom,
    ! [V_xa_2: $i,V_gb_2: $i,V_fa_2: $i,T_c: $i,T_a: $i,T_b: $i] :
      ( ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ T_b @ T_a @ T_c @ V_fa_2 ) @ V_gb_2 ) @ V_xa_2 )
      = ( hAPP @ V_fa_2 @ ( hAPP @ V_gb_2 @ V_xa_2 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ X3 @ X4 @ X5 @ X0 ) @ X1 ) @ X2 )
      = ( hAPP @ X0 @ ( hAPP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_o__apply]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( hAPP @ ( hAPP @ ( c_Fun_Ocomp @ X3 @ X4 @ X5 @ X0 ) @ X1 ) @ X2 )
      = ( hAPP @ X0 @ ( hAPP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_o__apply]) ).

thf(zip_derived_cl288,plain,
    ~ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ sk__1 ) ) @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl303,plain,
    ~ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ ( hAPP @ v_ga____ @ sk__1 ) @ ( hAPP @ v_ga____ @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl288]) ).

thf(zip_derived_cl305,plain,
    ~ ( c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ sk__1 @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl303]) ).

thf(zip_derived_cl104,plain,
    c_Orderings_Oord__class_Oless @ tc_Nat_Onat @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl104]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWW209+1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ecwsjiI5KT true
% 0.13/0.33  % Computer : n029.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 11:58:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.92  % Solved by fo/fo4.sh.
% 1.38/0.92  % done 113 iterations in 0.144s
% 1.38/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.92  % SZS output start Refutation
% See solution above
% 1.38/0.92  
% 1.38/0.92  
% 1.38/0.92  % Terminating...
% 1.38/0.95  % Runner terminated.
% 1.38/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------