TSTP Solution File: COM020+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 01:07:01 EDT 2022

% Result   : Theorem 9.64s 2.72s
% Output   : CNFRefutation 9.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   50 (  27 unt;   0 nHn;  50 RR)
%            Number of literals    :  153 (   0 equ; 108 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   60 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X1)
    | ~ aElement0(X3)
    | ~ aRewritingSystem0(X2)
    | ~ aReductOfIn0(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_7) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aReductOfIn0(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_3) ).

cnf(i_0_380,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xb,xR,X1)
    | ~ sdtmndtasgtdt0(xd,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_380) ).

cnf(i_0_64,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_64) ).

cnf(i_0_379,hypothesis,
    aElement0(xd),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_379) ).

cnf(i_0_352,hypothesis,
    aReductOfIn0(xu,xa,xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_352) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_44) ).

cnf(i_0_63,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_63) ).

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/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_15) ).

cnf(i_0_374,hypothesis,
    sdtmndtasgtdt0(xw,xR,xd),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_374) ).

cnf(i_0_371,hypothesis,
    aElement0(xw),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_371) ).

cnf(i_0_69,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_69) ).

cnf(i_0_62,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_62) ).

cnf(i_0_38,plain,
    ( iLess0(X1,X2)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ isTerminating0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_38) ).

cnf(i_0_45,hypothesis,
    isTerminating0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_45) ).

cnf(i_0_353,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_353) ).

cnf(i_0_366,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_366) ).

cnf(i_0_347,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_347) ).

cnf(i_0_74,hypothesis,
    ( aElement0(esk17_3(X1,X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_74) ).

cnf(i_0_48,hypothesis,
    ( iLess0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aReductOfIn0(X1,X2,xR) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ii5zsfxu/lgb.p',i_0_48) ).

cnf(c_0_401,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X1)
    | ~ aElement0(X3)
    | ~ aRewritingSystem0(X2)
    | ~ aReductOfIn0(X3,X1,X2) ),
    i_0_7 ).

cnf(c_0_402,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aReductOfIn0(X1,X2,X3) ),
    i_0_3 ).

cnf(c_0_403,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xb,xR,X1)
    | ~ sdtmndtasgtdt0(xd,xR,X1) ),
    i_0_380 ).

cnf(c_0_404,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_64 ).

cnf(c_0_405,hypothesis,
    aElement0(xd),
    i_0_379 ).

cnf(c_0_406,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aReductOfIn0(X3,X1,X2)
    | ~ aRewritingSystem0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_407,hypothesis,
    aReductOfIn0(xu,xa,xR),
    i_0_352 ).

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

cnf(c_0_409,hypothesis,
    aElement0(xa),
    i_0_63 ).

cnf(c_0_410,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_411,hypothesis,
    sdtmndtasgtdt0(xw,xR,xd),
    i_0_374 ).

cnf(c_0_412,hypothesis,
    aElement0(xw),
    i_0_371 ).

cnf(c_0_413,negated_conjecture,
    ( ~ iLess0(X1,xa)
    | ~ aElement0(esk17_3(X1,X2,xd))
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xb,xR,esk17_3(X1,X2,xd))
    | ~ sdtmndtasgtdt0(X1,xR,xd)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405])]) ).

cnf(c_0_414,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_69 ).

cnf(c_0_415,hypothesis,
    aElement0(xb),
    i_0_62 ).

cnf(c_0_416,plain,
    ( iLess0(X1,X2)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ isTerminating0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    i_0_38 ).

cnf(c_0_417,hypothesis,
    sdtmndtplgtdt0(xa,xR,xu),
    inference(cn,[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])]) ).

cnf(c_0_418,hypothesis,
    isTerminating0(xR),
    i_0_45 ).

cnf(c_0_419,hypothesis,
    aElement0(xu),
    i_0_353 ).

cnf(c_0_420,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_410,c_0_411]),c_0_408]),c_0_412]),c_0_405])]) ).

cnf(c_0_421,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    i_0_366 ).

cnf(c_0_422,hypothesis,
    ( ~ iLess0(X1,xa)
    | ~ aElement0(esk17_3(X1,xb,xd))
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X1,xR,xd)
    | ~ sdtmndtasgtdt0(X1,xR,xb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_415]),c_0_405])]) ).

cnf(c_0_423,plain,
    iLess0(xu,xa),
    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_416,c_0_417]),c_0_418]),c_0_408]),c_0_409]),c_0_419])]) ).

cnf(c_0_424,hypothesis,
    sdtmndtasgtdt0(xu,xR,xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_419])]) ).

cnf(c_0_425,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    i_0_347 ).

cnf(c_0_426,hypothesis,
    ( aElement0(esk17_3(X1,X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    i_0_74 ).

cnf(c_0_427,hypothesis,
    ( iLess0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aReductOfIn0(X1,X2,xR) ),
    i_0_48 ).

cnf(c_0_428,plain,
    ~ aElement0(esk17_3(xu,xb,xd)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_419]),c_0_424]),c_0_425])]) ).

cnf(c_0_429,hypothesis,
    ( aElement0(esk17_3(X1,X2,X3))
    | ~ aReductOfIn0(X1,xa,xR)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_409])]) ).

cnf(c_0_430,hypothesis,
    $false,
    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_428,c_0_429]),c_0_407]),c_0_405]),c_0_415]),c_0_419]),c_0_424]),c_0_425])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n023.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 : Thu Jun 16 18:02:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 9.64/2.72  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.64/2.72  # No SInE strategy applied
% 9.64/2.72  # Trying AutoSched0 for 150 seconds
% 9.64/2.72  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 9.64/2.72  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.64/2.72  #
% 9.64/2.72  # Preprocessing time       : 0.020 s
% 9.64/2.72  # Presaturation interreduction done
% 9.64/2.72  
% 9.64/2.72  # Proof found!
% 9.64/2.72  # SZS status Theorem
% 9.64/2.72  # SZS output start CNFRefutation
% See solution above
% 9.64/2.72  # Training examples: 0 positive, 0 negative
% 9.64/2.72  
% 9.64/2.72  # -------------------------------------------------
% 9.64/2.72  # User time                : 0.060 s
% 9.64/2.72  # System time              : 0.006 s
% 9.64/2.72  # Total time               : 0.066 s
% 9.64/2.72  # Maximum resident set size: 7124 pages
% 9.64/2.72  
%------------------------------------------------------------------------------