TSTP Solution File: LCL778-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h8kyKlrULB true

% Computer : n028.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 Aug 31 09:02:01 EDT 2023

% Result   : Unsatisfiable 0.19s 0.81s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   21 (   7 unt;  14 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  123 (   3   ~;   0   |;   0   &; 120   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  14 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;  10 con; 0-5 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

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

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

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

thf(v_i_type,type,
    v_i: $i ).

thf(tc_nat_type,type,
    tc_nat: $i ).

thf(c_Lambda_OdB_OVar_type,type,
    c_Lambda_OdB_OVar: $i > $i ).

thf(tc_Lambda_OdB_type,type,
    tc_Lambda_OdB: $i ).

thf(c_InductTermi_OIT_type,type,
    c_InductTermi_OIT: $i ).

thf(v_ss_type,type,
    v_ss: $i ).

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

thf(c_List_Ofoldl_type,type,
    c_List_Ofoldl: $i > $i > $i > $i > $i > $i ).

thf(c_HOL_Ozero__class_Ozero_type,type,
    c_HOL_Ozero__class_Ozero: $i > $i ).

thf(c_Lambda_Osubst_type,type,
    c_Lambda_Osubst: $i ).

thf(c_Lambda_OdB_OApp_type,type,
    c_Lambda_OdB_OApp: $i ).

thf(cls_conjecture_4,conjecture,
    hBOOL @ ( hAPP @ c_InductTermi_OIT @ ( hAPP @ ( hAPP @ c_Lambda_OdB_OApp @ ( c_List_Ofoldl @ c_Lambda_OdB_OApp @ ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r ) @ v_s ) @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ ( c_Lambda_OdB_OVar @ v_i ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ c_InductTermi_OIT @ ( hAPP @ ( hAPP @ c_Lambda_OdB_OApp @ ( c_List_Ofoldl @ c_Lambda_OdB_OApp @ ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r ) @ v_s ) @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ ( c_Lambda_OdB_OVar @ v_i ) ) ) ),
    inference('cnf.neg',[status(esa)],[cls_conjecture_4]) ).

thf(zip_derived_cl264,plain,
    ~ ( hBOOL @ ( hAPP @ c_InductTermi_OIT @ ( hAPP @ ( hAPP @ c_Lambda_OdB_OApp @ ( c_List_Ofoldl @ c_Lambda_OdB_OApp @ ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r ) @ v_s ) @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ ( c_Lambda_OdB_OVar @ v_i ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cls_conjecture_1,conjecture,
    ~ ( hBOOL @ ( hAPP @ c_InductTermi_OIT @ ( hAPP @ ( hAPP @ c_Lambda_OdB_OApp @ ( c_List_Ofoldl @ c_Lambda_OdB_OApp @ ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r ) @ v_s ) @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ ( c_Lambda_OdB_OVar @ v_i ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    hBOOL @ ( hAPP @ c_InductTermi_OIT @ ( hAPP @ ( hAPP @ c_Lambda_OdB_OApp @ ( c_List_Ofoldl @ c_Lambda_OdB_OApp @ ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r ) @ v_s ) @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ ( c_Lambda_OdB_OVar @ v_i ) ) ),
    inference('cnf.neg',[status(esa)],[cls_conjecture_1]) ).

thf(zip_derived_cl267,plain,
    hBOOL @ ( hAPP @ c_InductTermi_OIT @ ( hAPP @ ( hAPP @ c_Lambda_OdB_OApp @ ( c_List_Ofoldl @ c_Lambda_OdB_OApp @ ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r ) @ v_s ) @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @ v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @ ( c_Lambda_OdB_OVar @ v_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1069,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl267]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h8kyKlrULB true
% 0.13/0.34  % Computer : n028.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 : Fri Aug 25 04:59:05 EDT 2023
% 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.63  % Total configuration time : 435
% 0.19/0.63  % Estimated wc time : 1092
% 0.19/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.81  % Solved by fo/fo3_bce.sh.
% 0.19/0.81  % BCE start: 269
% 0.19/0.81  % BCE eliminated: 17
% 0.19/0.81  % PE start: 252
% 0.19/0.81  logic: eq
% 0.19/0.81  % PE eliminated: 1
% 0.19/0.81  % done 58 iterations in 0.098s
% 0.19/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.81  % SZS output start Refutation
% See solution above
% 0.19/0.81  
% 0.19/0.81  
% 0.19/0.81  % Terminating...
% 1.34/0.84  % Runner terminated.
% 1.34/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------