TSTP Solution File: SCT126+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SCT126+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 : Mon Jul 18 21:16:28 EDT 2022

% Result   : Theorem 8.47s 2.60s
% Output   : CNFRefutation 8.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   17 (   2 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-4 aty)
%            Number of variables   :   21 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_570,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3)))
    | ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31zx35bm/lgb.p',i_0_570) ).

cnf(i_0_60,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31zx35bm/lgb.p',i_0_60) ).

cnf(i_0_768,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31zx35bm/lgb.p',i_0_768) ).

cnf(i_0_23,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31zx35bm/lgb.p',i_0_23) ).

cnf(i_0_19,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-31zx35bm/lgb.p',i_0_19) ).

cnf(c_0_774,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3)))
    | ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4))) ),
    i_0_570 ).

cnf(c_0_775,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
    i_0_60 ).

cnf(c_0_776,plain,
    hAPP(c_COMBK(X1,X2,X3),X4) = X3,
    i_0_768 ).

cnf(c_0_777,plain,
    ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,X1)),c_Arrow__Order__Mirabelle_OLin))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_775]),c_0_776]) ).

cnf(c_0_778,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    i_0_23 ).

cnf(c_0_779,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
    i_0_19 ).

cnf(c_0_780,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_778]),c_0_779]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SCT126+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n004.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 : Fri Jul  1 23:29:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.47/2.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.47/2.60  # No SInE strategy applied
% 8.47/2.60  # Trying AutoSched0 for 150 seconds
% 8.47/2.60  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.47/2.60  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.47/2.60  #
% 8.47/2.60  # Preprocessing time       : 0.024 s
% 8.47/2.60  # Presaturation interreduction done
% 8.47/2.60  
% 8.47/2.60  # Proof found!
% 8.47/2.60  # SZS status Theorem
% 8.47/2.60  # SZS output start CNFRefutation
% See solution above
% 8.47/2.60  # Training examples: 0 positive, 0 negative
% 8.47/2.60  
% 8.47/2.60  # -------------------------------------------------
% 8.47/2.60  # User time                : 0.030 s
% 8.47/2.60  # System time              : 0.010 s
% 8.47/2.60  # Total time               : 0.040 s
% 8.47/2.60  # Maximum resident set size: 7220 pages
% 8.47/2.60  
%------------------------------------------------------------------------------