TSTP Solution File: RNG083+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:24:56 EDT 2022

% Result   : Theorem 7.48s 2.33s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   50 (  18 unt;   0 nHn;  50 RR)
%            Number of literals    :   97 (  37 equ;  50 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_10) ).

cnf(i_0_4,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_4) ).

cnf(i_0_19,plain,
    ( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_19) ).

cnf(i_0_15,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_15) ).

cnf(i_0_11,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_11) ).

cnf(i_0_2,plain,
    aElement0(sz00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_2) ).

cnf(i_0_13,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_13) ).

cnf(i_0_21,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_21) ).

cnf(i_0_3,plain,
    aElement0(sz10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_3) ).

cnf(i_0_14,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_14) ).

cnf(i_0_20,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_20) ).

cnf(i_0_12,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_12) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_6) ).

cnf(i_0_18,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_18) ).

cnf(i_0_22,negated_conjecture,
    ( sdtasdt0(sz00,xx) != sz00
    | sdtasdt0(xx,sz00) != sz00 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p203fjgu/input.p',i_0_22) ).

cnf(c_0_38,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_39,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    i_0_4 ).

cnf(c_0_40,plain,
    ( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
    | ~ aElement0(X1) ),
    i_0_19 ).

cnf(c_0_41,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aElement0(X1) ),
    i_0_15 ).

cnf(c_0_42,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aElement0(X1) ),
    i_0_11 ).

cnf(c_0_43,plain,
    ( sdtpldt0(smndt0(X1),sz00) = smndt0(X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    aElement0(sz00),
    i_0_2 ).

cnf(c_0_45,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_13 ).

cnf(c_0_46,hypothesis,
    aElement0(xx),
    i_0_21 ).

cnf(c_0_47,plain,
    ( aElement0(sdtasdt0(X1,smndt0(sz10)))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_48,plain,
    ( sdtasdt0(sz10,smndt0(X1)) = smndt0(X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_39]) ).

cnf(c_0_49,plain,
    aElement0(sz10),
    i_0_3 ).

cnf(c_0_50,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_14 ).

cnf(c_0_51,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    i_0_20 ).

cnf(c_0_52,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

cnf(c_0_53,hypothesis,
    ( sdtasdt0(X1,xx) = sdtasdt0(xx,X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,plain,
    aElement0(smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_55,hypothesis,
    ( sdtasdt0(sdtasdt0(X1,X2),xx) = sdtasdt0(X1,sdtasdt0(X2,xx))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_46]) ).

cnf(c_0_56,plain,
    sdtasdt0(smndt0(sz10),sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_44])]) ).

cnf(c_0_57,plain,
    sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
    inference(spm,[status(thm)],[c_0_53,c_0_44]) ).

cnf(c_0_58,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    i_0_12 ).

cnf(c_0_59,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_60,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_18 ).

cnf(c_0_61,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),sz00) = sdtasdt0(X1,sdtasdt0(X2,sz00))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_44]) ).

cnf(c_0_62,hypothesis,
    sdtasdt0(smndt0(sz10),xx) = sdtasdt0(xx,smndt0(sz10)),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_63,plain,
    sdtasdt0(smndt0(sz10),sdtasdt0(xx,sz00)) = sdtasdt0(xx,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_57]),c_0_44]),c_0_54])]) ).

cnf(c_0_64,plain,
    ( sdtpldt0(X1,sdtasdt0(smndt0(sz10),X1)) = sz00
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_51]) ).

cnf(c_0_65,plain,
    aElement0(sdtasdt0(xx,sz00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_46]),c_0_44])]) ).

cnf(c_0_66,negated_conjecture,
    ( sdtasdt0(sz00,xx) != sz00
    | sdtasdt0(xx,sz00) != sz00 ),
    i_0_22 ).

cnf(c_0_67,plain,
    ( sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2)) = sdtasdt0(X1,sz00)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_42]),c_0_39]) ).

cnf(c_0_68,hypothesis,
    sdtasdt0(sdtasdt0(xx,smndt0(sz10)),sz00) = sdtasdt0(xx,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_46]),c_0_54])]) ).

cnf(c_0_69,plain,
    sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_65])]) ).

cnf(c_0_70,plain,
    aElement0(sdtasdt0(xx,smndt0(sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_62]),c_0_46]),c_0_54])]) ).

cnf(c_0_71,negated_conjecture,
    sdtasdt0(xx,sz00) != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_57])]) ).

cnf(c_0_72,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_52]),c_0_68]),c_0_69]),c_0_68]),c_0_44]),c_0_70])]),c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 21:47:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.48/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.48/2.33  # No SInE strategy applied
% 7.48/2.33  # Trying AutoSched0 for 150 seconds
% 7.48/2.33  # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S04CN
% 7.48/2.33  # and selection function MSelectComplexExceptUniqMaxHorn.
% 7.48/2.33  #
% 7.48/2.33  # Preprocessing time       : 0.012 s
% 7.48/2.33  # Presaturation interreduction done
% 7.48/2.33  
% 7.48/2.33  # Proof found!
% 7.48/2.33  # SZS status Theorem
% 7.48/2.33  # SZS output start CNFRefutation
% See solution above
% 7.48/2.33  # Training examples: 0 positive, 0 negative
% 7.48/2.33  
% 7.48/2.33  # -------------------------------------------------
% 7.48/2.33  # User time                : 0.035 s
% 7.48/2.33  # System time              : 0.009 s
% 7.48/2.33  # Total time               : 0.044 s
% 7.48/2.33  # Maximum resident set size: 7120 pages
% 7.48/2.33  
%------------------------------------------------------------------------------