TSTP Solution File: SWW312+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW312+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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  : 600s
% DateTime : Thu Jul 21 00:01:58 EDT 2022

% Result   : Theorem 9.48s 3.51s
% Output   : CNFRefutation 9.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;  11 RR)
%            Number of literals    :   22 (   5 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   22 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2439,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s02h6r8c/lgb.p',i_0_2439) ).

cnf(i_0_371,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s02h6r8c/lgb.p',i_0_371) ).

cnf(i_0_850,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s02h6r8c/lgb.p',i_0_850) ).

cnf(i_0_46,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s02h6r8c/lgb.p',i_0_46) ).

cnf(i_0_48,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s02h6r8c/lgb.p',i_0_48) ).

cnf(i_0_47,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s02h6r8c/lgb.p',i_0_47) ).

cnf(c_0_2446,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
    i_0_2439 ).

cnf(c_0_2447,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_371 ).

cnf(c_0_2448,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
    i_0_850 ).

cnf(c_0_2449,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
    inference(rw,[status(thm)],[c_0_2446,c_0_2447]) ).

cnf(c_0_2450,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    i_0_46 ).

cnf(c_0_2451,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
    i_0_48 ).

cnf(c_0_2452,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,X3))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4) ),
    inference(rw,[status(thm)],[c_0_2448,c_0_2449]) ).

cnf(c_0_2453,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,v_t)),
    inference(rw,[status(thm)],[c_0_2450,c_0_2449]) ).

cnf(c_0_2454,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    i_0_47 ).

cnf(c_0_2455,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2451,c_0_2452]),c_0_2453]),c_0_2454])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW312+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun  5 11:25:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.48  # ENIGMATIC: Selected SinE mode:
% 0.55/0.72  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.55/0.72  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.55/0.72  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.48/3.51  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.48/3.51  # No SInE strategy applied
% 9.48/3.51  # Trying AutoSched0 for 150 seconds
% 9.48/3.51  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.48/3.51  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.48/3.51  #
% 9.48/3.51  # Preprocessing time       : 0.023 s
% 9.48/3.51  # Presaturation interreduction done
% 9.48/3.51  
% 9.48/3.51  # Proof found!
% 9.48/3.51  # SZS status Theorem
% 9.48/3.51  # SZS output start CNFRefutation
% See solution above
% 9.48/3.51  # Training examples: 0 positive, 0 negative
% 9.48/3.51  
% 9.48/3.51  # -------------------------------------------------
% 9.48/3.51  # User time                : 0.023 s
% 9.48/3.51  # System time              : 0.010 s
% 9.48/3.51  # Total time               : 0.033 s
% 9.48/3.51  # Maximum resident set size: 9516 pages
% 9.48/3.51  
%------------------------------------------------------------------------------