TSTP Solution File: COM019+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM019+4 : 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 : Fri Jul 15 01:07:00 EDT 2022

% Result   : Theorem 9.25s 2.60s
% Output   : CNFRefutation 9.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   53 (  32 unt;  12 nHn;  53 RR)
%            Number of literals    :  125 (  18 equ;  64 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   35 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtasgtdt0(X4,X2,X3)
    | ~ sdtmndtasgtdt0(X1,X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_15) ).

cnf(i_0_374,hypothesis,
    sdtmndtasgtdt0(xw,xR,xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_374) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_44) ).

cnf(i_0_371,hypothesis,
    aElement0(xw),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_371) ).

cnf(i_0_379,hypothesis,
    aElement0(xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_379) ).

cnf(i_0_48,hypothesis,
    ( iLess0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aReductOfIn0(X1,X2,xR) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_48) ).

cnf(i_0_352,hypothesis,
    aReductOfIn0(xu,xa,xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_352) ).

cnf(i_0_63,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_63) ).

cnf(i_0_353,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_353) ).

cnf(i_0_366,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_366) ).

cnf(i_0_119,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtplgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_119) ).

cnf(i_0_347,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_347) ).

cnf(i_0_62,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_62) ).

cnf(i_0_14,plain,
    ( X1 = X2
    | sdtmndtplgtdt0(X1,X3,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtasgtdt0(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_14) ).

cnf(i_0_83,hypothesis,
    ( esk17_3(X1,X2,X3) = X2
    | aReductOfIn0(esk17_3(X1,X2,X3),X2,xR)
    | aReductOfIn0(esk18_3(X1,X2,X3),X2,xR)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X1,xa)
    | ~ sdtmndtplgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_83) ).

cnf(i_0_373,hypothesis,
    ~ aReductOfIn0(X1,xd,xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_373) ).

cnf(i_0_348,hypothesis,
    ( xu = xb
    | sdtmndtplgtdt0(xu,xR,xb) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_348) ).

cnf(i_0_380,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_380) ).

cnf(i_0_350,hypothesis,
    ( xu = xb
    | aReductOfIn0(xb,xu,xR)
    | aReductOfIn0(esk22_0,xu,xR) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_350) ).

cnf(i_0_384,negated_conjecture,
    xd != xb,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_384) ).

cnf(i_0_381,negated_conjecture,
    ~ sdtmndtplgtdt0(xb,xR,xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dug3wpl0/lgb.p',i_0_381) ).

cnf(c_0_406,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtasgtdt0(X4,X2,X3)
    | ~ sdtmndtasgtdt0(X1,X2,X4) ),
    i_0_15 ).

cnf(c_0_407,hypothesis,
    sdtmndtasgtdt0(xw,xR,xd),
    i_0_374 ).

cnf(c_0_408,hypothesis,
    aRewritingSystem0(xR),
    i_0_44 ).

cnf(c_0_409,hypothesis,
    aElement0(xw),
    i_0_371 ).

cnf(c_0_410,hypothesis,
    aElement0(xd),
    i_0_379 ).

cnf(c_0_411,hypothesis,
    ( iLess0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aReductOfIn0(X1,X2,xR) ),
    i_0_48 ).

cnf(c_0_412,hypothesis,
    aReductOfIn0(xu,xa,xR),
    i_0_352 ).

cnf(c_0_413,hypothesis,
    aElement0(xa),
    i_0_63 ).

cnf(c_0_414,hypothesis,
    aElement0(xu),
    i_0_353 ).

cnf(c_0_415,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,xd)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X1,xR,xw) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_408]),c_0_409]),c_0_410])]) ).

cnf(c_0_416,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    i_0_366 ).

cnf(c_0_417,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtplgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_119 ).

cnf(c_0_418,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    i_0_347 ).

cnf(c_0_419,hypothesis,
    iLess0(xu,xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]),c_0_414])]) ).

cnf(c_0_420,hypothesis,
    aElement0(xb),
    i_0_62 ).

cnf(c_0_421,plain,
    ( X1 = X2
    | sdtmndtplgtdt0(X1,X3,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtasgtdt0(X1,X3,X2) ),
    i_0_14 ).

cnf(c_0_422,hypothesis,
    sdtmndtasgtdt0(xu,xR,xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_414])]) ).

cnf(c_0_423,hypothesis,
    ( esk17_3(X1,X2,X3) = X2
    | aReductOfIn0(esk17_3(X1,X2,X3),X2,xR)
    | aReductOfIn0(esk18_3(X1,X2,X3),X2,xR)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X1,xa)
    | ~ sdtmndtplgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    i_0_83 ).

cnf(c_0_424,hypothesis,
    ~ aReductOfIn0(X1,xd,xR),
    i_0_373 ).

cnf(c_0_425,hypothesis,
    ( sdtmndtasgtdt0(xb,xR,esk17_3(xu,X1,xb))
    | ~ aElement0(X1)
    | ~ sdtmndtplgtdt0(xu,xR,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]),c_0_414]),c_0_420])]) ).

cnf(c_0_426,plain,
    ( xu = xd
    | sdtmndtplgtdt0(xu,xR,xd) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_408]),c_0_410]),c_0_414])]) ).

cnf(c_0_427,hypothesis,
    ( esk17_3(xu,xd,X1) = xd
    | ~ aElement0(X1)
    | ~ sdtmndtplgtdt0(xu,xR,X1) ),
    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(spm,[status(thm)],[c_0_423,c_0_422]),c_0_419]),c_0_410]),c_0_414])]),c_0_424]),c_0_424]) ).

cnf(c_0_428,hypothesis,
    ( xu = xb
    | sdtmndtplgtdt0(xu,xR,xb) ),
    i_0_348 ).

cnf(c_0_429,plain,
    ( xu = xd
    | sdtmndtasgtdt0(xb,xR,esk17_3(xu,xd,xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_410])]) ).

cnf(c_0_430,hypothesis,
    ( esk17_3(xu,xd,xb) = xd
    | xu = xb ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_420])]) ).

cnf(c_0_431,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    i_0_380 ).

cnf(c_0_432,hypothesis,
    ( xu = xb
    | aReductOfIn0(xb,xu,xR)
    | aReductOfIn0(esk22_0,xu,xR) ),
    i_0_350 ).

cnf(c_0_433,hypothesis,
    ( xu = xb
    | xu = xd ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]) ).

cnf(c_0_434,negated_conjecture,
    xd != xb,
    i_0_384 ).

cnf(c_0_435,hypothesis,
    xu = xb,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_434]),c_0_424]),c_0_424]) ).

cnf(c_0_436,negated_conjecture,
    ~ sdtmndtplgtdt0(xb,xR,xd),
    i_0_381 ).

cnf(c_0_437,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_435]),c_0_435]),c_0_434]),c_0_436]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COM019+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.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 Jun 16 18:03:28 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 9.25/2.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.25/2.60  # No SInE strategy applied
% 9.25/2.60  # Trying AutoSched0 for 150 seconds
% 9.25/2.60  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 9.25/2.60  # and selection function SelectCQArNTNpEqFirst.
% 9.25/2.60  #
% 9.25/2.60  # Preprocessing time       : 0.025 s
% 9.25/2.60  # Presaturation interreduction done
% 9.25/2.60  
% 9.25/2.60  # Proof found!
% 9.25/2.60  # SZS status Theorem
% 9.25/2.60  # SZS output start CNFRefutation
% See solution above
% 9.25/2.60  # Training examples: 0 positive, 0 negative
% 9.25/2.60  
% 9.25/2.60  # -------------------------------------------------
% 9.25/2.60  # User time                : 0.107 s
% 9.25/2.60  # System time              : 0.010 s
% 9.25/2.60  # Total time               : 0.117 s
% 9.25/2.60  # Maximum resident set size: 7128 pages
% 9.25/2.60  
%------------------------------------------------------------------------------