TSTP Solution File: SYN986+1.003 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 04:58:40 EDT 2022

% Result   : Theorem 7.48s 2.52s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   21 (   4 unt;   0 nHn;  19 RR)
%            Number of literals    :   52 (   0 equ;  37 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :   16 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   53 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( r(X1,succ(X2),X3)
    | ~ r(X4,X2,X3)
    | ~ r(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zi9h3nav/lgb.p',i_0_3) ).

cnf(i_0_2,plain,
    r(X1,zero,succ(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zi9h3nav/lgb.p',i_0_2) ).

cnf(i_0_1,negated_conjecture,
    ( ~ r(zero,X1,X2)
    | ~ r(zero,X3,X1)
    | ~ r(zero,X4,X3)
    | ~ r(zero,zero,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zi9h3nav/lgb.p',i_0_1) ).

cnf(c_0_7,plain,
    ( r(X1,succ(X2),X3)
    | ~ r(X4,X2,X3)
    | ~ r(X1,X2,X4) ),
    i_0_3 ).

cnf(c_0_8,plain,
    r(X1,zero,succ(X1)),
    i_0_2 ).

cnf(c_0_9,plain,
    ( r(X1,succ(zero),succ(X2))
    | ~ r(X1,zero,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,plain,
    ( r(X1,succ(succ(zero)),succ(X2))
    | ~ r(X1,succ(zero),X3)
    | ~ r(X3,zero,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_9]) ).

cnf(c_0_11,plain,
    ( r(X1,succ(succ(zero)),succ(X2))
    | ~ r(succ(X3),zero,X2)
    | ~ r(X1,zero,X3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_9]) ).

cnf(c_0_12,plain,
    ( r(X1,succ(succ(zero)),succ(succ(succ(X2))))
    | ~ r(X1,zero,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_13,plain,
    ( r(X1,succ(succ(succ(zero))),succ(succ(succ(X2))))
    | ~ r(X1,succ(succ(zero)),X3)
    | ~ r(X3,zero,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_14,plain,
    ( r(X1,succ(succ(succ(zero))),succ(succ(succ(X2))))
    | ~ r(succ(succ(succ(X3))),zero,X2)
    | ~ r(X1,zero,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ r(zero,X1,X2)
    | ~ r(zero,X3,X1)
    | ~ r(zero,X4,X3)
    | ~ r(zero,zero,X4) ),
    i_0_1 ).

cnf(c_0_16,plain,
    ( r(X1,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(X2))))))))
    | ~ r(X1,zero,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_8]) ).

cnf(c_0_17,plain,
    ( ~ r(zero,succ(zero),X1)
    | ~ r(zero,X1,X2)
    | ~ r(zero,X2,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_8]) ).

cnf(c_0_18,plain,
    ( r(X1,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(X2))))))))
    | ~ r(X1,succ(succ(succ(zero))),X3)
    | ~ r(X3,zero,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_16]) ).

cnf(c_0_19,plain,
    ( ~ r(zero,succ(X1),X2)
    | ~ r(zero,zero,X1)
    | ~ r(zero,X2,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_9]) ).

cnf(c_0_20,plain,
    ( r(X1,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(X2))))))))
    | ~ r(succ(succ(succ(succ(succ(succ(succ(X3))))))),zero,X2)
    | ~ r(X1,zero,X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_16]) ).

cnf(c_0_21,plain,
    ( ~ r(zero,succ(succ(succ(X1))),X2)
    | ~ r(zero,zero,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_8])]) ).

cnf(c_0_22,plain,
    ( r(X1,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))))))))
    | ~ r(X1,zero,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_8]) ).

cnf(c_0_23,plain,
    ~ r(zero,zero,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_8])]) ).

cnf(c_0_24,plain,
    $false,
    inference(spm,[status(thm)],[c_0_23,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Mon Jul 11 15:53:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.48/2.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.48/2.52  # No SInE strategy applied
% 7.48/2.52  # Trying AutoSched0 for 150 seconds
% 7.48/2.52  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0Y_ni
% 7.48/2.52  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.48/2.52  #
% 7.48/2.52  # Preprocessing time       : 0.014 s
% 7.48/2.52  # Presaturation interreduction done
% 7.48/2.52  
% 7.48/2.52  # Proof found!
% 7.48/2.52  # SZS status Theorem
% 7.48/2.52  # SZS output start CNFRefutation
% See solution above
% 7.48/2.52  # Training examples: 0 positive, 0 negative
% 7.48/2.52  
% 7.48/2.52  # -------------------------------------------------
% 7.48/2.52  # User time                : 0.017 s
% 7.48/2.52  # System time              : 0.002 s
% 7.48/2.52  # Total time               : 0.019 s
% 7.48/2.52  # Maximum resident set size: 7120 pages
% 7.48/2.52  
%------------------------------------------------------------------------------