↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM444+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 08:36:04 EDT 2022

% Result   : Theorem 8.15s 2.73s
% Output   : CNFRefutation 8.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   52 (  13 unt;  21 nHn;  52 RR)
%            Number of literals    :  146 (  18 equ;  76 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_518,plain,
    ( epred1_0
    | aInteger0(X1)
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_518) ).

cnf(i_0_127,negated_conjecture,
    ( aInteger0(X1)
    | ~ epred1_0
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_127) ).

cnf(i_0_116,negated_conjecture,
    ( aElementOf0(esk19_0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_116) ).

cnf(i_0_115,negated_conjecture,
    ( ~ epred1_0
    | ~ aElementOf0(esk19_0,cS1395) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_115) ).

cnf(i_0_117,negated_conjecture,
    ( aElementOf0(X1,cS1395)
    | ~ epred1_0
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_117) ).

cnf(i_0_496,plain,
    ( X1 = sz00
    | epred1_0
    | aElementOf0(esk23_1(X1),szAzrzSzezqlpdtcmdtrp0(esk21_0,X1))
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_496) ).

cnf(i_0_509,plain,
    ( epred1_0
    | aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_509) ).

cnf(i_0_506,plain,
    ( epred1_0
    | aElementOf0(esk21_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_506) ).

cnf(i_0_96,plain,
    ( X1 = sz00
    | aInteger0(X2)
    | X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X4)
    | ~ aElementOf0(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_96) ).

cnf(i_0_112,hypothesis,
    aInteger0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_112) ).

cnf(i_0_111,hypothesis,
    sz00 != xq,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_111) ).

cnf(i_0_507,plain,
    ( epred1_0
    | aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_507) ).

cnf(i_0_95,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | X4 != szAzrzSzezqlpdtcmdtrp0(X3,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | ~ aElementOf0(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_95) ).

cnf(i_0_495,plain,
    ( X1 = sz00
    | epred1_0
    | ~ aInteger0(X1)
    | ~ aElementOf0(esk23_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_495) ).

cnf(i_0_508,plain,
    ( epred1_0
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_508) ).

cnf(i_0_163,negated_conjecture,
    ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ sdteqdtlpzmzozddtrp0(X2,X1,xq)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wczo6a74/input.p',i_0_163) ).

cnf(c_0_535,plain,
    ( epred1_0
    | aInteger0(X1)
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    i_0_518 ).

cnf(c_0_536,negated_conjecture,
    ( aInteger0(X1)
    | ~ epred1_0
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    i_0_127 ).

cnf(c_0_537,plain,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    inference(csr,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_538,negated_conjecture,
    ( aElementOf0(esk19_0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ epred1_0 ),
    i_0_116 ).

cnf(c_0_539,negated_conjecture,
    ( ~ epred1_0
    | ~ aElementOf0(esk19_0,cS1395) ),
    i_0_115 ).

cnf(c_0_540,negated_conjecture,
    ( aElementOf0(X1,cS1395)
    | ~ epred1_0
    | ~ aInteger0(X1) ),
    i_0_117 ).

cnf(c_0_541,negated_conjecture,
    ( aInteger0(esk19_0)
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_542,plain,
    ( X1 = sz00
    | epred1_0
    | aElementOf0(esk23_1(X1),szAzrzSzezqlpdtcmdtrp0(esk21_0,X1))
    | ~ aInteger0(X1) ),
    i_0_496 ).

cnf(c_0_543,negated_conjecture,
    ~ epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541]) ).

cnf(c_0_544,plain,
    ( epred1_0
    | aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    i_0_509 ).

cnf(c_0_545,plain,
    ( epred1_0
    | aElementOf0(esk21_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    i_0_506 ).

cnf(c_0_546,plain,
    ( X1 = sz00
    | aInteger0(X2)
    | X3 != szAzrzSzezqlpdtcmdtrp0(X4,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X4)
    | ~ aElementOf0(X2,X3) ),
    i_0_96 ).

cnf(c_0_547,plain,
    ( X1 = sz00
    | aElementOf0(esk23_1(X1),szAzrzSzezqlpdtcmdtrp0(esk21_0,X1))
    | ~ aInteger0(X1) ),
    inference(sr,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_548,hypothesis,
    aInteger0(xq),
    i_0_112 ).

cnf(c_0_549,hypothesis,
    sz00 != xq,
    i_0_111 ).

cnf(c_0_550,plain,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    inference(sr,[status(thm)],[c_0_544,c_0_543]) ).

cnf(c_0_551,plain,
    aElementOf0(esk21_0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
    inference(sr,[status(thm)],[c_0_545,c_0_543]) ).

cnf(c_0_552,plain,
    ( epred1_0
    | aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aInteger0(X1) ),
    i_0_507 ).

cnf(c_0_553,plain,
    ( X1 = sz00
    | aInteger0(X2)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
    | ~ aInteger0(X3)
    | ~ aInteger0(X1) ),
    inference(er,[status(thm)],[c_0_546]) ).

cnf(c_0_554,hypothesis,
    aElementOf0(esk23_1(xq),szAzrzSzezqlpdtcmdtrp0(esk21_0,xq)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_549]) ).

cnf(c_0_555,plain,
    aInteger0(esk21_0),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_556,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | X4 != szAzrzSzezqlpdtcmdtrp0(X3,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | ~ aElementOf0(X2,X4) ),
    i_0_95 ).

cnf(c_0_557,plain,
    ( X1 = sz00
    | epred1_0
    | ~ aInteger0(X1)
    | ~ aElementOf0(esk23_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    i_0_495 ).

cnf(c_0_558,plain,
    ( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aInteger0(X1) ),
    inference(sr,[status(thm)],[c_0_552,c_0_543]) ).

cnf(c_0_559,plain,
    aInteger0(esk23_1(xq)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_555]),c_0_548])]),c_0_549]) ).

cnf(c_0_560,plain,
    ( epred1_0
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
    i_0_508 ).

cnf(c_0_561,negated_conjecture,
    ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ sdteqdtlpzmzozddtrp0(X2,X1,xq)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    i_0_163 ).

cnf(c_0_562,plain,
    ( X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
    | ~ aInteger0(X3)
    | ~ aInteger0(X1) ),
    inference(er,[status(thm)],[c_0_556]) ).

cnf(c_0_563,plain,
    ( X1 = sz00
    | ~ aElementOf0(esk23_1(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aInteger0(X1) ),
    inference(sr,[status(thm)],[c_0_557,c_0_543]) ).

cnf(c_0_564,plain,
    ( aElementOf0(esk23_1(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(esk23_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_565,plain,
    ( ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    inference(sr,[status(thm)],[c_0_560,c_0_543]) ).

cnf(c_0_566,negated_conjecture,
    ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ sdteqdtlpzmzozddtrp0(X2,X1,xq)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[c_0_561,c_0_537]) ).

cnf(c_0_567,hypothesis,
    sdteqdtlpzmzozddtrp0(esk23_1(xq),esk21_0,xq),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_554]),c_0_555]),c_0_548])]),c_0_549]) ).

cnf(c_0_568,plain,
    aElementOf0(esk23_1(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_548])]),c_0_549]) ).

cnf(c_0_569,plain,
    ~ aElementOf0(esk21_0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
    inference(spm,[status(thm)],[c_0_565,c_0_551]) ).

cnf(c_0_570,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_568]),c_0_555])]),c_0_569]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM444+6 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n026.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 : Thu Jul  7 13:53:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.15/2.73  # ENIGMATIC: Solved by autoschedule:
% 8.15/2.73  # No SInE strategy applied
% 8.15/2.73  # Trying AutoSched0 for 150 seconds
% 8.15/2.73  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 8.15/2.73  # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.15/2.73  #
% 8.15/2.73  # Preprocessing time       : 0.045 s
% 8.15/2.73  # Presaturation interreduction done
% 8.15/2.73  
% 8.15/2.73  # Proof found!
% 8.15/2.73  # SZS status Theorem
% 8.15/2.73  # SZS output start CNFRefutation
% See solution above
% 8.15/2.73  # Training examples: 0 positive, 0 negative
% 8.15/2.73  
% 8.15/2.73  # -------------------------------------------------
% 8.15/2.73  # User time                : 0.097 s
% 8.15/2.73  # System time              : 0.006 s
% 8.15/2.73  # Total time               : 0.103 s
% 8.15/2.73  # Maximum resident set size: 7120 pages
% 8.15/2.73  
%------------------------------------------------------------------------------