TSTP Solution File: NUM596+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM596+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 08:37:44 EDT 2022

% Result   : Theorem 9.72s 2.68s
% Output   : CNFRefutation 9.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   55 (  20 unt;   7 nHn;  55 RR)
%            Number of literals    :  141 (  23 equ;  85 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_190,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_190) ).

cnf(i_0_188,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_188) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_14) ).

cnf(i_0_146,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_146) ).

cnf(i_0_133,plain,
    ( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,szDzozmdt0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_133) ).

cnf(i_0_189,hypothesis,
    aFunction0(xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_189) ).

cnf(i_0_122,plain,
    ( sdtlpdtrp0(X1,X2) = X3
    | X4 != sdtlbdtrb0(X1,X3)
    | ~ aElement0(X3)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_122) ).

cnf(i_0_124,plain,
    ( aSet0(X1)
    | X1 != sdtlbdtrb0(X2,X3)
    | ~ aElement0(X3)
    | ~ aFunction0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_124) ).

cnf(i_0_123,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElement0(X4)
    | ~ aFunction0(X2)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_123) ).

cnf(i_0_5,plain,
    ( X1 = slcrc0
    | aElementOf0(esk1_1(X1),X1)
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_5) ).

cnf(i_0_144,plain,
    ( aElement0(szDzizrdt0(X1))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_144) ).

cnf(i_0_44,plain,
    isCountable0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_44) ).

cnf(i_0_16,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_16) ).

cnf(i_0_145,hypothesis,
    isFinite0(xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_145) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_11) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_7) ).

cnf(i_0_143,plain,
    ( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_143) ).

cnf(i_0_191,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1u1g1163/input.p',i_0_191) ).

cnf(c_0_210,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    i_0_190 ).

cnf(c_0_211,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    i_0_188 ).

cnf(c_0_212,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_213,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
    inference(rw,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_214,hypothesis,
    aSet0(xT),
    i_0_146 ).

cnf(c_0_215,plain,
    ( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,szDzozmdt0(X1)) ),
    i_0_133 ).

cnf(c_0_216,hypothesis,
    aFunction0(xd),
    i_0_189 ).

cnf(c_0_217,plain,
    ( sdtlpdtrp0(X1,X2) = X3
    | X4 != sdtlbdtrb0(X1,X3)
    | ~ aElement0(X3)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,X4) ),
    i_0_122 ).

cnf(c_0_218,plain,
    ( aSet0(X1)
    | X1 != sdtlbdtrb0(X2,X3)
    | ~ aElement0(X3)
    | ~ aFunction0(X2) ),
    i_0_124 ).

cnf(c_0_219,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElement0(X4)
    | ~ aFunction0(X2)
    | ~ aElementOf0(X1,X3) ),
    i_0_123 ).

cnf(c_0_220,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214])]) ).

cnf(c_0_221,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_211]),c_0_216])]) ).

cnf(c_0_222,plain,
    ( sdtlpdtrp0(X1,X2) = X3
    | ~ aElement0(X3)
    | ~ aElementOf0(X2,sdtlbdtrb0(X1,X3))
    | ~ aFunction0(X1) ),
    inference(er,[status(thm)],[c_0_217]) ).

cnf(c_0_223,plain,
    ( X1 = slcrc0
    | aElementOf0(esk1_1(X1),X1)
    | ~ aSet0(X1) ),
    i_0_5 ).

cnf(c_0_224,plain,
    ( aSet0(sdtlbdtrb0(X1,X2))
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    inference(er,[status(thm)],[c_0_218]) ).

cnf(c_0_225,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtlbdtrb0(X2,X3))
    | ~ aFunction0(X2) ),
    inference(er,[status(thm)],[c_0_219]) ).

cnf(c_0_226,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xd,X1),xT)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_227,plain,
    ( sdtlpdtrp0(X1,esk1_1(sdtlbdtrb0(X1,X2))) = X2
    | sdtlbdtrb0(X1,X2) = slcrc0
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_228,plain,
    ( sdtlbdtrb0(X1,X2) = slcrc0
    | aElementOf0(esk1_1(sdtlbdtrb0(X1,X2)),szDzozmdt0(X1))
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_223]),c_0_224]) ).

cnf(c_0_229,plain,
    ( aElement0(szDzizrdt0(X1))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    i_0_144 ).

cnf(c_0_230,plain,
    isCountable0(szNzAzT0),
    i_0_44 ).

cnf(c_0_231,plain,
    ( isFinite0(X1)
    | ~ aSet0(X2)
    | ~ isFinite0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_16 ).

cnf(c_0_232,hypothesis,
    isFinite0(xT),
    i_0_145 ).

cnf(c_0_233,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_234,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_235,hypothesis,
    ( sdtlbdtrb0(xd,X1) = slcrc0
    | aElementOf0(X1,xT)
    | ~ aElement0(X1)
    | ~ aElementOf0(esk1_1(sdtlbdtrb0(xd,X1)),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_216])]) ).

cnf(c_0_236,hypothesis,
    ( sdtlbdtrb0(xd,X1) = slcrc0
    | aElementOf0(esk1_1(sdtlbdtrb0(xd,X1)),szNzAzT0)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_211]),c_0_216])]) ).

cnf(c_0_237,hypothesis,
    ( aElement0(szDzizrdt0(xd))
    | ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_211]),c_0_216]),c_0_230])]) ).

cnf(c_0_238,hypothesis,
    isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_213]),c_0_232]),c_0_214])]) ).

cnf(c_0_239,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(er,[status(thm)],[c_0_233]) ).

cnf(c_0_240,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_234]) ).

cnf(c_0_241,plain,
    ( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
    | ~ aFunction0(X1)
    | ~ isCountable0(szDzozmdt0(X1))
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
    i_0_143 ).

cnf(c_0_242,hypothesis,
    ( sdtlbdtrb0(xd,X1) = slcrc0
    | aElementOf0(X1,xT)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_243,hypothesis,
    aElement0(szDzizrdt0(xd)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_238])]) ).

cnf(c_0_244,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_240])]) ).

cnf(c_0_245,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    i_0_191 ).

cnf(c_0_246,plain,
    $false,
    inference(sr,[status(thm)],[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_241,c_0_242]),c_0_216]),c_0_211]),c_0_230]),c_0_211]),c_0_238]),c_0_243])]),c_0_244]),c_0_245]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM596+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul  5 02:33:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 9.72/2.68  # ENIGMATIC: Solved by autoschedule:
% 9.72/2.68  # No SInE strategy applied
% 9.72/2.68  # Trying AutoSched0 for 150 seconds
% 9.72/2.68  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 9.72/2.68  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.72/2.68  #
% 9.72/2.68  # Preprocessing time       : 0.029 s
% 9.72/2.68  # Presaturation interreduction done
% 9.72/2.68  
% 9.72/2.68  # Proof found!
% 9.72/2.68  # SZS status Theorem
% 9.72/2.68  # SZS output start CNFRefutation
% See solution above
% 9.72/2.68  # Training examples: 0 positive, 0 negative
% 9.72/2.68  
% 9.72/2.68  # -------------------------------------------------
% 9.72/2.68  # User time                : 0.178 s
% 9.72/2.68  # System time              : 0.010 s
% 9.72/2.68  # Total time               : 0.188 s
% 9.72/2.68  # Maximum resident set size: 7120 pages
% 9.72/2.68  
%------------------------------------------------------------------------------