TSTP Solution File: COM012+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 01:06:56 EDT 2022

% Result   : Theorem 7.42s 2.18s
% Output   : CNFRefutation 7.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  17 unt;   5 nHn;  28 RR)
%            Number of literals    :   64 (   8 equ;  35 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,negated_conjecture,
    ~ sdtmndtasgtdt0(xx,xR,xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_19) ).

cnf(i_0_12,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_12) ).

cnf(i_0_17,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_17) ).

cnf(i_0_15,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_15) ).

cnf(i_0_18,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_18) ).

cnf(i_0_11,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X4,X2,X3)
    | ~ sdtmndtplgtdt0(X1,X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_11) ).

cnf(i_0_14,plain,
    ( X1 = X2
    | sdtmndtplgtdt0(X1,X3,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtasgtdt0(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_14) ).

cnf(i_0_20,negated_conjecture,
    sdtmndtasgtdt0(xy,xR,xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_20) ).

cnf(i_0_16,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_16) ).

cnf(i_0_21,negated_conjecture,
    sdtmndtasgtdt0(xx,xR,xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9fkowoq3/lgb.p',i_0_21) ).

cnf(c_0_32,negated_conjecture,
    ~ sdtmndtasgtdt0(xx,xR,xz),
    i_0_19 ).

cnf(c_0_33,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X1,X2,X3) ),
    i_0_12 ).

cnf(c_0_34,hypothesis,
    aRewritingSystem0(xR),
    i_0_17 ).

cnf(c_0_35,hypothesis,
    aElement0(xz),
    i_0_15 ).

cnf(c_0_36,hypothesis,
    aElement0(xx),
    i_0_18 ).

cnf(c_0_37,negated_conjecture,
    ~ sdtmndtplgtdt0(xx,xR,xz),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_38,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X4,X2,X3)
    | ~ sdtmndtplgtdt0(X1,X2,X4) ),
    i_0_11 ).

cnf(c_0_39,plain,
    ( X1 = X2
    | sdtmndtplgtdt0(X1,X3,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtasgtdt0(X1,X3,X2) ),
    i_0_14 ).

cnf(c_0_40,negated_conjecture,
    sdtmndtasgtdt0(xy,xR,xz),
    i_0_20 ).

cnf(c_0_41,hypothesis,
    aElement0(xy),
    i_0_16 ).

cnf(c_0_42,negated_conjecture,
    ( ~ sdtmndtplgtdt0(X1,xR,xz)
    | ~ sdtmndtplgtdt0(xx,xR,X1)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_43,negated_conjecture,
    ( xz = xy
    | sdtmndtplgtdt0(xy,xR,xz) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]),c_0_35]),c_0_41])]) ).

cnf(c_0_44,negated_conjecture,
    sdtmndtasgtdt0(xx,xR,xy),
    i_0_21 ).

cnf(c_0_45,negated_conjecture,
    ( xz = xy
    | ~ sdtmndtplgtdt0(xx,xR,xy) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_41])]) ).

cnf(c_0_46,negated_conjecture,
    ( xx = xy
    | sdtmndtplgtdt0(xx,xR,xy) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_34]),c_0_41]),c_0_36])]) ).

cnf(c_0_47,negated_conjecture,
    ( xx = xy
    | xz = xy ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,negated_conjecture,
    xz = xy,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_47]),c_0_40])]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_48]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.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 : Thu Jun 16 19:38:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.42/2.18  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.42/2.18  # No SInE strategy applied
% 7.42/2.18  # Trying AutoSched0 for 150 seconds
% 7.42/2.18  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S035N
% 7.42/2.18  # and selection function PSelectUnlessPosMax.
% 7.42/2.18  #
% 7.42/2.18  # Preprocessing time       : 0.012 s
% 7.42/2.18  # Presaturation interreduction done
% 7.42/2.18  
% 7.42/2.18  # Proof found!
% 7.42/2.18  # SZS status Theorem
% 7.42/2.18  # SZS output start CNFRefutation
% See solution above
% 7.42/2.18  # Training examples: 0 positive, 0 negative
% 7.42/2.18  
% 7.42/2.18  # -------------------------------------------------
% 7.42/2.18  # User time                : 0.014 s
% 7.42/2.18  # System time              : 0.004 s
% 7.42/2.18  # Total time               : 0.018 s
% 7.42/2.18  # Maximum resident set size: 7124 pages
% 7.42/2.18  
%------------------------------------------------------------------------------