TSTP Solution File: COM007+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 : Fri Jul 15 01:06:53 EDT 2022

% Result   : Theorem 7.57s 2.32s
% Output   : CNFRefutation 7.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   43 (  13 unt;  11 nHn;  40 RR)
%            Number of literals    :   88 (   0 equ;  38 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( equalish(X1,X2)
    | rewrite(X1,X2)
    | ~ reflexive_rewrite(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_9) ).

cnf(i_0_2,plain,
    reflexive_rewrite(a,b),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_2) ).

cnf(i_0_5,plain,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_5) ).

cnf(i_0_3,plain,
    ( goal
    | ~ reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(c,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_3) ).

cnf(i_0_12,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_12) ).

cnf(i_0_7,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_7) ).

cnf(i_0_4,plain,
    equalish(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_4) ).

cnf(i_0_1,plain,
    reflexive_rewrite(a,c),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_1) ).

cnf(i_0_6,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ reflexive_rewrite(X3,X2)
    | ~ equalish(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_6) ).

cnf(i_0_8,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ rewrite(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_8) ).

cnf(i_0_11,plain,
    ( rewrite(X1,esk1_3(X2,X1,X3))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_11) ).

cnf(i_0_10,plain,
    ( rewrite(X1,esk1_3(X2,X3,X1))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-56p08ogb/lgb.p',i_0_10) ).

cnf(c_0_25,plain,
    ( equalish(X1,X2)
    | rewrite(X1,X2)
    | ~ reflexive_rewrite(X1,X2) ),
    i_0_9 ).

cnf(c_0_26,plain,
    reflexive_rewrite(a,b),
    i_0_2 ).

cnf(c_0_27,plain,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    i_0_5 ).

cnf(c_0_28,plain,
    ( equalish(a,b)
    | rewrite(a,b) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    ( goal
    | ~ reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(c,X1) ),
    i_0_3 ).

cnf(c_0_30,negated_conjecture,
    ~ goal,
    i_0_12 ).

cnf(c_0_31,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ equalish(X1,X2) ),
    i_0_7 ).

cnf(c_0_32,plain,
    equalish(X1,X1),
    i_0_4 ).

cnf(c_0_33,plain,
    reflexive_rewrite(a,c),
    i_0_1 ).

cnf(c_0_34,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ reflexive_rewrite(X3,X2)
    | ~ equalish(X1,X3) ),
    i_0_6 ).

cnf(c_0_35,plain,
    ( equalish(b,a)
    | rewrite(a,b) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,plain,
    ( ~ reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(c,X1) ),
    inference(sr,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    reflexive_rewrite(X1,X1),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,plain,
    ( equalish(a,c)
    | rewrite(a,c) ),
    inference(spm,[status(thm)],[c_0_25,c_0_33]) ).

cnf(c_0_39,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ rewrite(X1,X2) ),
    i_0_8 ).

cnf(c_0_40,plain,
    ( rewrite(X1,esk1_3(X2,X1,X3))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    i_0_11 ).

cnf(c_0_41,plain,
    ( rewrite(a,b)
    | reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(a,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,plain,
    ~ reflexive_rewrite(b,c),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    ( equalish(c,a)
    | rewrite(a,c) ),
    inference(spm,[status(thm)],[c_0_27,c_0_38]) ).

cnf(c_0_44,plain,
    ( reflexive_rewrite(X1,esk1_3(X2,X1,X3))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,plain,
    rewrite(a,b),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_42]) ).

cnf(c_0_46,plain,
    ( rewrite(a,c)
    | reflexive_rewrite(c,X1)
    | ~ reflexive_rewrite(a,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

cnf(c_0_47,plain,
    ( rewrite(X1,esk1_3(X2,X3,X1))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    i_0_10 ).

cnf(c_0_48,plain,
    ( reflexive_rewrite(X1,esk1_3(a,X1,b))
    | ~ rewrite(a,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    ( rewrite(a,c)
    | reflexive_rewrite(c,b) ),
    inference(spm,[status(thm)],[c_0_46,c_0_26]) ).

cnf(c_0_50,plain,
    ( reflexive_rewrite(X1,esk1_3(X2,X3,X1))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_47]) ).

cnf(c_0_51,plain,
    ( reflexive_rewrite(c,esk1_3(a,c,b))
    | reflexive_rewrite(c,b) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,plain,
    ( reflexive_rewrite(X1,esk1_3(a,c,X1))
    | reflexive_rewrite(c,b)
    | ~ rewrite(a,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_49]) ).

cnf(c_0_53,plain,
    ( reflexive_rewrite(c,b)
    | ~ reflexive_rewrite(b,esk1_3(a,c,b)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_51]) ).

cnf(c_0_54,plain,
    reflexive_rewrite(c,b),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_53]) ).

cnf(c_0_55,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_54]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 19:54:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.57/2.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.57/2.32  # No SInE strategy applied
% 7.57/2.32  # Trying AutoSched0 for 150 seconds
% 7.57/2.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AA
% 7.57/2.32  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.57/2.32  #
% 7.57/2.32  # Preprocessing time       : 0.023 s
% 7.57/2.32  # Presaturation interreduction done
% 7.57/2.32  
% 7.57/2.32  # Proof found!
% 7.57/2.32  # SZS status Theorem
% 7.57/2.32  # SZS output start CNFRefutation
% See solution above
% 7.57/2.32  # Training examples: 0 positive, 0 negative
% 7.57/2.32  
% 7.57/2.32  # -------------------------------------------------
% 7.57/2.32  # User time                : 0.023 s
% 7.57/2.32  # System time              : 0.009 s
% 7.57/2.32  # Total time               : 0.033 s
% 7.57/2.32  # Maximum resident set size: 7124 pages
% 7.57/2.32  
%------------------------------------------------------------------------------