TSTP Solution File: SWW341+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW341+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 00:02:02 EDT 2022

% Result   : Theorem 10.33s 3.65s
% Output   : CNFRefutation 10.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (   7 unt;  12 nHn;  15 RR)
%            Number of literals    :   76 (   0 equ;  34 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   61 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,hypothesis,
    ( hBOOL(hAPP(hAPP(esk2_2(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_3(X1,X2,X5)),v_G))
    | ~ v_P(X1,X2)
    | ~ c_Natural_Oevaln(v_c,X6,X5,X4)
    | ~ hBOOL(hAPP(hAPP(esk1_2(X1,X2),X3),X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_17) ).

cnf(i_0_15,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(esk1_2(X1,X3),esk4_3(X1,X3,X2)),X3))
    | ~ v_P(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_15) ).

cnf(i_0_16,hypothesis,
    ( hBOOL(hAPP(hAPP(esk2_2(X1,X2),X3),X4))
    | ~ v_P(X1,X2)
    | ~ c_Natural_Oevaln(v_c,X5,X6,X4)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,esk3_3(X1,X2,X6))
    | ~ hBOOL(hAPP(hAPP(esk1_2(X1,X2),X3),X5)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_16) ).

cnf(i_0_21,negated_conjecture,
    c_Natural_Oevaln(v_c,esk6_0,v_n,esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_21) ).

cnf(i_0_19,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_19) ).

cnf(i_0_22,negated_conjecture,
    v_P(esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_22) ).

cnf(i_0_14,hypothesis,
    ( v_Q(X1,X2)
    | ~ v_P(X1,X3)
    | ~ hBOOL(hAPP(hAPP(esk2_2(X1,X3),esk4_3(X1,X3,X2)),X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_14) ).

cnf(i_0_20,negated_conjecture,
    ~ v_Q(esk5_0,esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bep2ziql/lgb.p',i_0_20) ).

cnf(c_0_31,hypothesis,
    ( hBOOL(hAPP(hAPP(esk2_2(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_3(X1,X2,X5)),v_G))
    | ~ v_P(X1,X2)
    | ~ c_Natural_Oevaln(v_c,X6,X5,X4)
    | ~ hBOOL(hAPP(hAPP(esk1_2(X1,X2),X3),X6)) ),
    i_0_17 ).

cnf(c_0_32,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(esk1_2(X1,X3),esk4_3(X1,X3,X2)),X3))
    | ~ v_P(X1,X3) ),
    i_0_15 ).

cnf(c_0_33,hypothesis,
    ( hBOOL(hAPP(hAPP(esk2_2(X1,X2),X3),X4))
    | ~ v_P(X1,X2)
    | ~ c_Natural_Oevaln(v_c,X5,X6,X4)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,esk3_3(X1,X2,X6))
    | ~ hBOOL(hAPP(hAPP(esk1_2(X1,X2),X3),X5)) ),
    i_0_16 ).

cnf(c_0_34,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_3(X1,X3,X4)),v_G))
    | hBOOL(hAPP(hAPP(esk2_2(X1,X3),esk4_3(X1,X3,X2)),X5))
    | ~ v_P(X1,X3)
    | ~ c_Natural_Oevaln(v_c,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    c_Natural_Oevaln(v_c,esk6_0,v_n,esk7_0),
    i_0_21 ).

cnf(c_0_36,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(esk2_2(X1,X3),esk4_3(X1,X3,X2)),X4))
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X5,esk3_3(X1,X3,X5))
    | ~ v_P(X1,X3)
    | ~ c_Natural_Oevaln(v_c,X3,X5,X4) ),
    inference(spm,[status(thm)],[c_0_33,c_0_32]) ).

cnf(c_0_37,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
    i_0_19 ).

cnf(c_0_38,negated_conjecture,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_3(X1,esk6_0,v_n)),v_G))
    | hBOOL(hAPP(hAPP(esk2_2(X1,esk6_0),esk4_3(X1,esk6_0,X2)),esk7_0))
    | ~ v_P(X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    v_P(esk5_0,esk6_0),
    i_0_22 ).

cnf(c_0_40,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(esk2_2(X1,X3),esk4_3(X1,X3,X2)),X4))
    | ~ v_P(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_3(X1,X3,v_n)),v_G))
    | ~ c_Natural_Oevaln(v_c,X3,v_n,X4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( v_Q(esk5_0,X1)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_3(esk5_0,esk6_0,v_n)),v_G))
    | hBOOL(hAPP(hAPP(esk2_2(esk5_0,esk6_0),esk4_3(esk5_0,esk6_0,X1)),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,hypothesis,
    ( v_Q(esk5_0,X1)
    | v_Q(esk5_0,X2)
    | hBOOL(hAPP(hAPP(esk2_2(esk5_0,esk6_0),esk4_3(esk5_0,esk6_0,X1)),esk7_0))
    | hBOOL(hAPP(hAPP(esk2_2(esk5_0,esk6_0),esk4_3(esk5_0,esk6_0,X2)),X3))
    | ~ c_Natural_Oevaln(v_c,esk6_0,v_n,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_39])]) ).

cnf(c_0_43,negated_conjecture,
    ( v_Q(esk5_0,X1)
    | v_Q(esk5_0,X2)
    | hBOOL(hAPP(hAPP(esk2_2(esk5_0,esk6_0),esk4_3(esk5_0,esk6_0,X1)),esk7_0))
    | hBOOL(hAPP(hAPP(esk2_2(esk5_0,esk6_0),esk4_3(esk5_0,esk6_0,X2)),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_35]) ).

cnf(c_0_44,hypothesis,
    ( v_Q(X1,X2)
    | ~ v_P(X1,X3)
    | ~ hBOOL(hAPP(hAPP(esk2_2(X1,X3),esk4_3(X1,X3,X2)),X2)) ),
    i_0_14 ).

cnf(c_0_45,negated_conjecture,
    ( v_Q(esk5_0,X1)
    | hBOOL(hAPP(hAPP(esk2_2(esk5_0,esk6_0),esk4_3(esk5_0,esk6_0,X1)),esk7_0)) ),
    inference(ef,[status(thm)],[c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    ~ v_Q(esk5_0,esk7_0),
    i_0_20 ).

cnf(c_0_47,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_39])]),c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWW341+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun  4 13:53:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.50  # ENIGMATIC: Selected SinE mode:
% 0.54/0.73  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.54/0.73  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.54/0.73  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.33/3.65  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.33/3.65  # No SInE strategy applied
% 10.33/3.65  # Trying AutoSched0 for 150 seconds
% 10.33/3.65  # AutoSched0-Mode selected heuristic G_E___208_B02_F1_AE_CS_SP_PS_S0Y
% 10.33/3.65  # and selection function SelectMaxLComplexAvoidPosPred.
% 10.33/3.65  #
% 10.33/3.65  # Preprocessing time       : 0.025 s
% 10.33/3.65  # Presaturation interreduction done
% 10.33/3.65  
% 10.33/3.65  # Proof found!
% 10.33/3.65  # SZS status Theorem
% 10.33/3.65  # SZS output start CNFRefutation
% See solution above
% 10.33/3.65  # Training examples: 0 positive, 0 negative
% 10.33/3.65  
% 10.33/3.65  # -------------------------------------------------
% 10.33/3.65  # User time                : 0.027 s
% 10.33/3.65  # System time              : 0.006 s
% 10.33/3.65  # Total time               : 0.033 s
% 10.33/3.65  # Maximum resident set size: 9528 pages
% 10.33/3.65  
%------------------------------------------------------------------------------