TSTP Solution File: SWW225+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW225+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.288vn8LaJP true

% Computer : n006.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 01:41:14 EDT 2023

% Result   : Theorem 2.63s 1.21s
% Output   : Refutation 2.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   26 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  153 (   7   ~;   3   |;   0   &; 140   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

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

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

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

thf(v_N2_____type,type,
    v_N2____: $i ).

thf(v_N1_____type,type,
    v_N1____: $i ).

thf(c_RealDef_Oreal_type,type,
    c_RealDef_Oreal: $i > $i ).

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

thf(c_Nat_OSuc_type,type,
    c_Nat_OSuc: $i > $i ).

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

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

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

thf(fact_Suc__le__mono,axiom,
    ! [V_m_2: $i,V_n_2: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Nat_OSuc @ V_n_2 ) @ ( c_Nat_OSuc @ V_m_2 ) )
    <=> ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ V_n_2 @ V_m_2 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Nat_OSuc @ X0 ) @ ( c_Nat_OSuc @ X1 ) )
      | ~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_Suc__le__mono]) ).

thf(fact_real__of__nat__le__iff,axiom,
    ! [V_m_2: $i,V_n_2: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ V_n_2 ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ V_m_2 ) )
    <=> ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ V_n_2 @ V_m_2 ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ X0 ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ X1 ) )
      | ~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_real__of__nat__le__iff]) ).

thf(conj_0,conjecture,
    c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl910,plain,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) @ ( hAPP @ ( c_RealDef_Oreal @ tc_Nat_Onat ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4834,plain,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) @ ( c_Nat_OSuc @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl910]) ).

thf(zip_derived_cl5032,plain,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) @ ( hAPP @ v_f____ @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ v_N1____ @ v_N2____ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4834]) ).

thf(fact_fz_I1_J,axiom,
    c_SEQ_Osubseq @ v_f____ ).

thf(zip_derived_cl1,plain,
    c_SEQ_Osubseq @ v_f____,
    inference(cnf,[status(esa)],[fact_fz_I1_J]) ).

thf(fact_seq__suble,axiom,
    ! [V_n_2: $i,V_fa_2: $i] :
      ( ( c_SEQ_Osubseq @ V_fa_2 )
     => ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ V_n_2 @ ( hAPP @ V_fa_2 @ V_n_2 ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ ( hAPP @ X1 @ X0 ) )
      | ~ ( c_SEQ_Osubseq @ X1 ) ),
    inference(cnf,[status(esa)],[fact_seq__suble]) ).

thf(zip_derived_cl2830,plain,
    ! [X0: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat @ X0 @ ( hAPP @ v_f____ @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl50]) ).

thf(zip_derived_cl5035,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5032,zip_derived_cl2830]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW225+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.288vn8LaJP true
% 0.13/0.34  % Computer : n006.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
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 300
% 0.20/0.34  % DateTime : Sun Aug 27 19:03:37 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % 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
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 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/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.63/1.21  % Solved by fo/fo3_bce.sh.
% 2.63/1.21  % BCE start: 911
% 2.63/1.21  % BCE eliminated: 54
% 2.63/1.21  % PE start: 857
% 2.63/1.21  logic: eq
% 2.63/1.21  % PE eliminated: -17
% 2.63/1.21  % done 410 iterations in 0.476s
% 2.63/1.21  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.63/1.21  % SZS output start Refutation
% See solution above
% 2.63/1.21  
% 2.63/1.21  
% 2.63/1.21  % Terminating...
% 2.75/1.30  % Runner terminated.
% 2.75/1.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------