TSTP Solution File: SWW361+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW361+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 00:02:05 EDT 2022

% Result   : Theorem 10.25s 3.61s
% Output   : CNFRefutation 10.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  26 unt;   0 nHn;  15 RR)
%            Number of literals    :   34 (  17 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-3 aty)
%            Number of variables   :   50 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2313,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/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_2313) ).

cnf(i_0_327,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_327) ).

cnf(i_0_123,plain,
    ( v_P(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X2),X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_123) ).

cnf(i_0_2743,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_2743) ).

cnf(i_0_1040,plain,
    hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_1040) ).

cnf(i_0_827,plain,
    hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_827) ).

cnf(i_0_16,hypothesis,
    hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) = v_G,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_16) ).

cnf(i_0_1017,plain,
    ( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_1017) ).

cnf(i_0_17,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_17) ).

cnf(i_0_18,negated_conjecture,
    ~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-baxyz61u/lgb.p',i_0_18) ).

cnf(c_0_2754,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_2313 ).

cnf(c_0_2755,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_327 ).

cnf(c_0_2756,plain,
    ( v_P(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X2),X1)) ),
    i_0_123 ).

cnf(c_0_2757,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3))),
    i_0_2743 ).

cnf(c_0_2758,plain,
    hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
    i_0_1040 ).

cnf(c_0_2759,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_2754,c_0_2755]) ).

cnf(c_0_2760,plain,
    hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
    i_0_827 ).

cnf(c_0_2761,hypothesis,
    hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) = v_G,
    i_0_16 ).

cnf(c_0_2762,plain,
    ( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
    i_0_1017 ).

cnf(c_0_2763,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
    i_0_17 ).

cnf(c_0_2764,negated_conjecture,
    ~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    i_0_18 ).

cnf(c_0_2765,plain,
    v_P(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),X1),X2),X1),
    inference(spm,[status(thm)],[c_0_2756,c_0_2757]) ).

cnf(c_0_2766,plain,
    hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2)),X3) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
    inference(rw,[status(thm)],[c_0_2758,c_0_2759]) ).

cnf(c_0_2767,hypothesis,
    hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),X1),v_U)) = hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,X1)),v_G),
    inference(spm,[status(thm)],[c_0_2760,c_0_2761]) ).

cnf(c_0_2768,hypothesis,
    hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),v_U) = v_U,
    inference(spm,[status(thm)],[c_0_2762,c_0_2763]) ).

cnf(c_0_2769,negated_conjecture,
    ~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    inference(rw,[status(thm)],[c_0_2764,c_0_2761]) ).

cnf(c_0_2770,plain,
    v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2),hAPP(c_fequal,X1)),
    inference(spm,[status(thm)],[c_0_2765,c_0_2766]) ).

cnf(c_0_2771,hypothesis,
    hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G) = v_G,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2767,c_0_2768]),c_0_2761]) ).

cnf(c_0_2772,negated_conjecture,
    ~ v_P(v_G,hAPP(c_fequal,hAPP(v_mgt__call,v_pn))),
    inference(rw,[status(thm)],[c_0_2769,c_0_2759]) ).

cnf(c_0_2773,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2770,c_0_2771]),c_0_2772]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW361+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.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  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 13:57:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.49  # ENIGMATIC: Selected SinE mode:
% 0.52/0.73  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.73  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.52/0.73  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.52/0.73  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.25/3.61  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.25/3.61  # No SInE strategy applied
% 10.25/3.61  # Trying AutoSched0 for 150 seconds
% 10.25/3.61  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.25/3.61  # and selection function SelectComplexExceptUniqMaxHorn.
% 10.25/3.61  #
% 10.25/3.61  # Preprocessing time       : 0.025 s
% 10.25/3.61  # Presaturation interreduction done
% 10.25/3.61  
% 10.25/3.61  # Proof found!
% 10.25/3.61  # SZS status Theorem
% 10.25/3.61  # SZS output start CNFRefutation
% See solution above
% 10.25/3.61  # Training examples: 0 positive, 0 negative
% 10.25/3.61  
% 10.25/3.61  # -------------------------------------------------
% 10.25/3.61  # User time                : 0.036 s
% 10.25/3.61  # System time              : 0.008 s
% 10.25/3.61  # Total time               : 0.044 s
% 10.25/3.61  # Maximum resident set size: 9684 pages
% 10.25/3.61  
%------------------------------------------------------------------------------