TSTP Solution File: SWW367+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW367+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 00:02:06 EDT 2022

% Result   : Theorem 9.14s 3.44s
% Output   : CNFRefutation 9.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  17 unt;   0 nHn;  14 RR)
%            Number of literals    :   36 (   8 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   58 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_338,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_338) ).

cnf(i_0_333,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_333) ).

cnf(i_0_3014,plain,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_3014) ).

cnf(i_0_1074,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_1074) ).

cnf(i_0_11,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_11) ).

cnf(i_0_6,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_6) ).

cnf(i_0_855,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-4q5yfdpj/lgb.p',i_0_855) ).

cnf(i_0_1495,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_1495) ).

cnf(i_0_9,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4q5yfdpj/lgb.p',i_0_9) ).

cnf(c_0_3024,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
    i_0_338 ).

cnf(c_0_3025,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_333 ).

cnf(c_0_3026,plain,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    i_0_3014 ).

cnf(c_0_3027,plain,
    hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
    inference(rw,[status(thm)],[c_0_3024,c_0_3025]) ).

cnf(c_0_3028,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4)) ),
    i_0_1074 ).

cnf(c_0_3029,plain,
    hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
    inference(spm,[status(thm)],[c_0_3026,c_0_3027]) ).

cnf(c_0_3030,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    i_0_11 ).

cnf(c_0_3031,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(rw,[status(thm)],[c_0_3028,c_0_3029]) ).

cnf(c_0_3032,hypothesis,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
    i_0_6 ).

cnf(c_0_3033,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_855 ).

cnf(c_0_3034,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
    i_0_1495 ).

cnf(c_0_3035,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)),
    i_0_9 ).

cnf(c_0_3036,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(v_mgt__call,v_pn))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3030,c_0_3031]),c_0_3032])]) ).

cnf(c_0_3037,plain,
    ( hBOOL(hAPP(hAPP(c_Set_Oimage(X1,X2,X3),X4),hAPP(X3,X5)))
    | ~ hBOOL(hAPP(X4,X5)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3033,c_0_3029]),c_0_3029]) ).

cnf(c_0_3038,hypothesis,
    hBOOL(hAPP(v_U,v_pn)),
    inference(spm,[status(thm)],[c_0_3034,c_0_3035]) ).

cnf(c_0_3039,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3036,c_0_3037]),c_0_3038])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW367+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % 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 10:19:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.48  # ENIGMATIC: Selected SinE mode:
% 0.52/0.71  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.71  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.52/0.71  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.52/0.71  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.14/3.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.14/3.44  # No SInE strategy applied
% 9.14/3.44  # Trying AutoSched0 for 150 seconds
% 9.14/3.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.14/3.44  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.14/3.44  #
% 9.14/3.44  # Preprocessing time       : 0.013 s
% 9.14/3.44  # Presaturation interreduction done
% 9.14/3.44  
% 9.14/3.44  # Proof found!
% 9.14/3.44  # SZS status Theorem
% 9.14/3.44  # SZS output start CNFRefutation
% See solution above
% 9.14/3.44  # Training examples: 0 positive, 0 negative
% 9.14/3.44  
% 9.14/3.44  # -------------------------------------------------
% 9.14/3.44  # User time                : 0.020 s
% 9.14/3.44  # System time              : 0.006 s
% 9.14/3.44  # Total time               : 0.026 s
% 9.14/3.44  # Maximum resident set size: 9516 pages
% 9.14/3.44  
%------------------------------------------------------------------------------