TSTP Solution File: SWW360+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW360+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 9.32s 3.62s
% Output   : CNFRefutation 9.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  18 unt;   0 nHn;  20 RR)
%            Number of literals    :   42 (  18 equ;  16 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   :   51 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2337,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-fcn704_7/lgb.p',i_0_2337) ).

cnf(i_0_332,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_332) ).

cnf(i_0_841,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)))
    | ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_841) ).

cnf(i_0_16,hypothesis,
    hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) = v_G,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_16) ).

cnf(i_0_17,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,esk1_0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_17) ).

cnf(i_0_128,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/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_128) ).

cnf(i_0_2447,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))
    | hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3) != X3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_2447) ).

cnf(i_0_1062,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/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_1062) ).

cnf(i_0_1039,plain,
    ( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_1039) ).

cnf(i_0_18,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk1_0),v_U)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fcn704_7/lgb.p',i_0_18) ).

cnf(c_0_2458,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_2337 ).

cnf(c_0_2459,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_332 ).

cnf(c_0_2460,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)))
    | ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
    i_0_841 ).

cnf(c_0_2461,hypothesis,
    hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) = v_G,
    i_0_16 ).

cnf(c_0_2462,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,esk1_0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    i_0_17 ).

cnf(c_0_2463,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_128 ).

cnf(c_0_2464,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))
    | hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3) != X3 ),
    i_0_2447 ).

cnf(c_0_2465,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_1062 ).

cnf(c_0_2466,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_2458,c_0_2459]) ).

cnf(c_0_2467,plain,
    ( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
    i_0_1039 ).

cnf(c_0_2468,hypothesis,
    ( hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,X1)),v_G))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_U)) ),
    inference(spm,[status(thm)],[c_0_2460,c_0_2461]) ).

cnf(c_0_2469,negated_conjecture,
    ~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,esk1_0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    inference(rw,[status(thm)],[c_0_2462,c_0_2461]) ).

cnf(c_0_2470,plain,
    ( v_P(X1,X2)
    | hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),X2),X1) != X1 ),
    inference(spm,[status(thm)],[c_0_2463,c_0_2464]) ).

cnf(c_0_2471,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_2465,c_0_2466]) ).

cnf(c_0_2472,plain,
    ( hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,X1)),v_G) = v_G
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_U)) ),
    inference(spm,[status(thm)],[c_0_2467,c_0_2468]) ).

cnf(c_0_2473,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk1_0),v_U)),
    i_0_18 ).

cnf(c_0_2474,negated_conjecture,
    ~ v_P(v_G,hAPP(c_fequal,hAPP(v_mgt__call,esk1_0))),
    inference(rw,[status(thm)],[c_0_2469,c_0_2466]) ).

cnf(c_0_2475,plain,
    ( v_P(X1,hAPP(c_fequal,X2))
    | hAPP(hAPP(c_Set_Oinsert(t_a),X2),X1) != X1 ),
    inference(spm,[status(thm)],[c_0_2470,c_0_2471]) ).

cnf(c_0_2476,negated_conjecture,
    hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,esk1_0)),v_G) = v_G,
    inference(spm,[status(thm)],[c_0_2472,c_0_2473]) ).

cnf(c_0_2477,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2474,c_0_2475]),c_0_2476])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW360+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.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 22:23:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  # ENIGMATIC: Selected SinE mode:
% 0.53/0.72  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.72  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.53/0.72  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.53/0.72  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.32/3.62  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.32/3.62  # No SInE strategy applied
% 9.32/3.62  # Trying AutoSched0 for 150 seconds
% 9.32/3.62  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.32/3.62  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.32/3.62  #
% 9.32/3.62  # Preprocessing time       : 0.024 s
% 9.32/3.62  # Presaturation interreduction done
% 9.32/3.62  
% 9.32/3.62  # Proof found!
% 9.32/3.62  # SZS status Theorem
% 9.32/3.62  # SZS output start CNFRefutation
% See solution above
% 9.32/3.62  # Training examples: 0 positive, 0 negative
% 9.32/3.62  
% 9.32/3.62  # -------------------------------------------------
% 9.32/3.62  # User time                : 0.039 s
% 9.32/3.62  # System time              : 0.006 s
% 9.32/3.62  # Total time               : 0.045 s
% 9.32/3.62  # Maximum resident set size: 9524 pages
% 9.32/3.62  
%------------------------------------------------------------------------------