TSTP Solution File: ITP206_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP206_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ehsp2MHNC1 true

% Computer : n001.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 05:22:52 EDT 2023

% Result   : Theorem 29.59s 4.85s
% Output   : Refutation 29.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   40
% Syntax   : Number of formulae    :   65 (  19 unt;  32 typ;   0 def)
%            Number of atoms       :   50 (  29 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  219 (  20   ~;  13   |;   0   &; 182   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  11 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_ref_a_bool_type,type,
    fun_ref_a_bool: $tType ).

thf(fun_he1716177789110362441a_bool_type,type,
    fun_he1716177789110362441a_bool: $tType ).

thf(heap_Heap_ref_a_type,type,
    heap_Heap_ref_a: $tType ).

thf(fun_a_7797985579152759073_ref_a_type,type,
    fun_a_7797985579152759073_ref_a: $tType ).

thf(a_type,type,
    a: $tType ).

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(ref_a_type,type,
    ref_a: $tType ).

thf(fun_he3288789352778960325t_unit_type,type,
    fun_he3288789352778960325t_unit: $tType ).

thf(fun_Pr7082408943852936193t_unit_type,type,
    fun_Pr7082408943852936193t_unit: $tType ).

thf(produc7812382424243267045t_unit_type,type,
    produc7812382424243267045t_unit: $tType ).

thf(fun_Pr1332931745038653183_ref_a_type,type,
    fun_Pr1332931745038653183_ref_a: $tType ).

thf(aa_hea8135729668157506370a_bool_type,type,
    aa_hea8135729668157506370a_bool: fun_he1716177789110362441a_bool > heap_e7401611519738050253t_unit > fun_ref_a_bool ).

thf(aa_Pro8575920914306358506t_unit_type,type,
    aa_Pro8575920914306358506t_unit: fun_Pr7082408943852936193t_unit > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).

thf(pp_type,type,
    pp: bool > $o ).

thf(produc473321116828791851t_unit_type,type,
    produc473321116828791851t_unit: fun_Pr1332931745038653183_ref_a ).

thf(aa_Pro7711270743135521984_ref_a_type,type,
    aa_Pro7711270743135521984_ref_a: fun_Pr1332931745038653183_ref_a > produc7812382424243267045t_unit > ref_a ).

thf(aa_hea1409956391221964662t_unit_type,type,
    aa_hea1409956391221964662t_unit: fun_he3288789352778960325t_unit > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).

thf(produc1126150082675451753t_unit_type,type,
    produc1126150082675451753t_unit: fun_Pr7082408943852936193t_unit ).

thf(h2_type,type,
    h2: heap_e7401611519738050253t_unit ).

thf(h_type,type,
    h: heap_e7401611519738050253t_unit ).

thf(aa_a_Heap_Heap_ref_a_type,type,
    aa_a_Heap_Heap_ref_a: fun_a_7797985579152759073_ref_a > a > heap_Heap_ref_a ).

thf(aa_ref_a_bool_type,type,
    aa_ref_a_bool: fun_ref_a_bool > ref_a > bool ).

thf(r_type,type,
    r: ref_a ).

thf(fTrue_type,type,
    fTrue: bool ).

thf(x_type,type,
    x: a ).

thf(heap_heap_ref_a_type,type,
    heap_heap_ref_a: fun_he3288789352778960325t_unit > heap_Heap_ref_a ).

thf(ref_a2_type,type,
    ref_a2: fun_a_7797985579152759073_ref_a ).

thf(heap_effect_ref_a_type,type,
    heap_effect_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > fun_he1716177789110362441a_bool ).

thf(alloc_a_type,type,
    alloc_a: a > fun_he3288789352778960325t_unit ).

thf(fFalse_type,type,
    fFalse: bool ).

thf(thesis_type,type,
    thesis: $o ).

thf(help_If_3_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_T,axiom,
    ! [P2: bool] :
      ( ( P2 = fFalse )
      | ( P2 = fTrue ) ) ).

thf(zip_derived_cl8103,plain,
    ! [X0: bool] :
      ( ( X0 = fFalse )
      | ( X0 = fTrue ) ),
    inference(cnf,[status(esa)],[help_If_3_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_T]) ).

thf(help_fFalse_1_1_U,axiom,
    ~ ( pp @ fFalse ) ).

thf(zip_derived_cl8040,plain,
    ~ ( pp @ fFalse ),
    inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).

thf(zip_derived_cl14598,plain,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ~ ( pp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8103,zip_derived_cl8040]) ).

thf(fact_1_assms,axiom,
    pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( aa_a_Heap_Heap_ref_a @ ref_a2 @ x ) @ h ) @ h2 ) @ r ) ).

thf(zip_derived_cl1,plain,
    pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( aa_a_Heap_Heap_ref_a @ ref_a2 @ x ) @ h ) @ h2 ) @ r ),
    inference(cnf,[status(esa)],[fact_1_assms]) ).

thf(zip_derived_cl14620,plain,
    ( ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( aa_a_Heap_Heap_ref_a @ ref_a2 @ x ) @ h ) @ h2 ) @ r )
    = fTrue ),
    inference('s_sup+',[status(thm)],[zip_derived_cl14598,zip_derived_cl1]) ).

thf(fact_23_ref__def,axiom,
    ! [V: a] :
      ( ( aa_a_Heap_Heap_ref_a @ ref_a2 @ V )
      = ( heap_heap_ref_a @ ( alloc_a @ V ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: a] :
      ( ( aa_a_Heap_Heap_ref_a @ ref_a2 @ X0 )
      = ( heap_heap_ref_a @ ( alloc_a @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_23_ref__def]) ).

thf(fact_148_effect__heapE,axiom,
    ! [F: fun_he3288789352778960325t_unit,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
      ( ( pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( heap_heap_ref_a @ F ) @ H ) @ H2 ) @ R ) )
     => ~ ( ( H2
            = ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ F @ H ) ) )
         => ( R
           != ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ F @ H ) ) ) ) ) ).

thf(zip_derived_cl197,plain,
    ! [X0: fun_he3288789352778960325t_unit,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
      ( ( X2
        = ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ X0 @ X1 ) ) )
      | ~ ( pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 ) @ X2 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_148_effect__heapE]) ).

thf(zip_derived_cl18392,plain,
    ! [X0: a,X1: ref_a,X2: heap_e7401611519738050253t_unit,X3: heap_e7401611519738050253t_unit] :
      ( ( X2
        = ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ X0 ) @ X3 ) ) )
      | ~ ( pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( aa_a_Heap_Heap_ref_a @ ref_a2 @ X0 ) @ X3 ) @ X2 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl197]) ).

thf(zip_derived_cl18601,plain,
    ( ( h2
      = ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) )
    | ~ ( pp @ fTrue ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14620,zip_derived_cl18392]) ).

thf(help_fTrue_1_1_U,axiom,
    pp @ fTrue ).

thf(zip_derived_cl8039,plain,
    pp @ fTrue,
    inference(cnf,[status(esa)],[help_fTrue_1_1_U]) ).

thf(zip_derived_cl18610,plain,
    ( h2
    = ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18601,zip_derived_cl8039]) ).

thf(fact_0_that,axiom,
    ( ( r
      = ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) )
   => ( ( h2
        = ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) )
     => thesis ) ) ).

thf(zip_derived_cl0,plain,
    ( ( h2
     != ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) )
    | thesis
    | ( r
     != ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_that]) ).

thf(conj_1,conjecture,
    thesis ).

thf(zf_stmt_0,negated_conjecture,
    ~ thesis,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl8107,plain,
    ~ thesis,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12220,plain,
    ( ( r
     != ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) )
    | ( h2
     != ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl8107]) ).

thf(zip_derived_cl14620_001,plain,
    ( ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( aa_a_Heap_Heap_ref_a @ ref_a2 @ x ) @ h ) @ h2 ) @ r )
    = fTrue ),
    inference('s_sup+',[status(thm)],[zip_derived_cl14598,zip_derived_cl1]) ).

thf(zip_derived_cl29_002,plain,
    ! [X0: a] :
      ( ( aa_a_Heap_Heap_ref_a @ ref_a2 @ X0 )
      = ( heap_heap_ref_a @ ( alloc_a @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_23_ref__def]) ).

thf(zip_derived_cl196,plain,
    ! [X0: fun_he3288789352778960325t_unit,X1: heap_e7401611519738050253t_unit,X2: ref_a,X3: heap_e7401611519738050253t_unit] :
      ( ( X2
        = ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ X0 @ X1 ) ) )
      | ~ ( pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 ) @ X3 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_148_effect__heapE]) ).

thf(zip_derived_cl18364,plain,
    ! [X0: a,X1: ref_a,X2: heap_e7401611519738050253t_unit,X3: heap_e7401611519738050253t_unit] :
      ( ( X1
        = ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ X0 ) @ X3 ) ) )
      | ~ ( pp @ ( aa_ref_a_bool @ ( aa_hea8135729668157506370a_bool @ ( heap_effect_ref_a @ ( aa_a_Heap_Heap_ref_a @ ref_a2 @ X0 ) @ X3 ) @ X2 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl196]) ).

thf(zip_derived_cl18534,plain,
    ( ( r
      = ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) )
    | ~ ( pp @ fTrue ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14620,zip_derived_cl18364]) ).

thf(zip_derived_cl8039_003,plain,
    pp @ fTrue,
    inference(cnf,[status(esa)],[help_fTrue_1_1_U]) ).

thf(zip_derived_cl18543,plain,
    ( r
    = ( aa_Pro7711270743135521984_ref_a @ produc473321116828791851t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18534,zip_derived_cl8039]) ).

thf(zip_derived_cl18544,plain,
    ( ( r != r )
    | ( h2
     != ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12220,zip_derived_cl18543]) ).

thf(zip_derived_cl18545,plain,
    ( h2
   != ( aa_Pro8575920914306358506t_unit @ produc1126150082675451753t_unit @ ( aa_hea1409956391221964662t_unit @ ( alloc_a @ x ) @ h ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18544]) ).

thf(zip_derived_cl18611,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18610,zip_derived_cl18545]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP206_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ehsp2MHNC1 true
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 11:49:18 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /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
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.35/1.26  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 29.59/4.85  % Solved by fo/fo6_bce.sh.
% 29.59/4.85  % BCE start: 8108
% 29.59/4.85  % BCE eliminated: 444
% 29.59/4.85  % PE start: 7664
% 29.59/4.85  logic: eq
% 29.59/4.85  % PE eliminated: 210
% 29.59/4.85  % done 856 iterations in 4.137s
% 29.59/4.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.59/4.85  % SZS output start Refutation
% See solution above
% 29.59/4.85  
% 29.59/4.85  
% 29.59/4.85  % Terminating...
% 30.29/4.95  % Runner terminated.
% 30.29/4.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------