TSTP Solution File: NUM578+3 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM578+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:37:33 EDT 2022

% Result   : Theorem 6.35s 3.31s
% Output   : CNFRefutation 6.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  10 unt;   3 nHn;  18 RR)
%            Number of literals    :   34 (   9 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4192,plain,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
    | ~ epred1_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4192) ).

cnf(i_0_4191,negated_conjecture,
    ( epred1_2(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4191) ).

cnf(i_0_4184,hypothesis,
    ( xj = xi
    | sdtlseqdt0(szszuzczcdt0(xi),xj)
    | sdtlseqdt0(szszuzczcdt0(xj),xi) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4184) ).

cnf(i_0_4190,negated_conjecture,
    xj != xi,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4190) ).

cnf(i_0_4185,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,xj)) = szmzizndt0(sdtlpdtrp0(xN,xi)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4185) ).

cnf(i_0_4183,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4183) ).

cnf(i_0_4182,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs_n9lm_/lgb.p',i_0_4182) ).

cnf(c_0_4200,plain,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
    | ~ epred1_2(X2,X1) ),
    i_0_4192 ).

cnf(c_0_4201,negated_conjecture,
    ( epred1_2(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    i_0_4191 ).

cnf(c_0_4202,hypothesis,
    ( xj = xi
    | sdtlseqdt0(szszuzczcdt0(xi),xj)
    | sdtlseqdt0(szszuzczcdt0(xj),xi) ),
    i_0_4184 ).

cnf(c_0_4203,negated_conjecture,
    xj != xi,
    i_0_4190 ).

cnf(c_0_4204,plain,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_4200,c_0_4201]) ).

cnf(c_0_4205,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xi),xj)
    | sdtlseqdt0(szszuzczcdt0(xj),xi) ),
    inference(sr,[status(thm)],[c_0_4202,c_0_4203]) ).

cnf(c_0_4206,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,xj)) = szmzizndt0(sdtlpdtrp0(xN,xi)),
    i_0_4185 ).

cnf(c_0_4207,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_4183 ).

cnf(c_0_4208,hypothesis,
    aElementOf0(xj,szNzAzT0),
    i_0_4182 ).

cnf(c_0_4209,hypothesis,
    sdtlseqdt0(szszuzczcdt0(xi),xj),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4204,c_0_4205]),c_0_4206]),c_0_4207]),c_0_4208])]) ).

cnf(c_0_4210,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4204,c_0_4209]),c_0_4206]),c_0_4208]),c_0_4207])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM578+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 18:53:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 6.35/3.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.35/3.31  # No SInE strategy applied
% 6.35/3.31  # Trying AutoSched0 for 150 seconds
% 6.35/3.31  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 6.35/3.31  # and selection function PSelectComplexExceptUniqMaxHorn.
% 6.35/3.31  #
% 6.35/3.31  # Preprocessing time       : 0.026 s
% 6.35/3.31  
% 6.35/3.31  # Proof found!
% 6.35/3.31  # SZS status Theorem
% 6.35/3.31  # SZS output start CNFRefutation
% See solution above
% 6.35/3.31  # Training examples: 0 positive, 0 negative
% 6.35/3.31  
% 6.35/3.31  # -------------------------------------------------
% 6.35/3.31  # User time                : 0.032 s
% 6.35/3.31  # System time              : 0.007 s
% 6.35/3.31  # Total time               : 0.039 s
% 6.35/3.31  # Maximum resident set size: 7128 pages
% 6.35/3.31  
%------------------------------------------------------------------------------