TSTP Solution File: CSR116+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR116+2 : 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 : Fri Jul 15 02:49:33 EDT 2022

% Result   : Theorem 5.04s 2.68s
% Output   : CNFRefutation 5.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   61 (  30 unt;   0 nHn;  57 RR)
%            Number of literals    :  207 (   0 equ; 162 neg)
%            Maximal clause size   :   15 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-3 aty)
%            Number of variables   :  132 (  39 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_885,negated_conjecture,
    ( ~ sub(X1,X2)
    | ~ obj(X3,X4)
    | ~ arg1(X5,X4)
    | ~ attr(X6,X7)
    | ~ attr(X4,X8)
    | ~ attr(X4,X9)
    | ~ sub(X7,name_1_1)
    | ~ sub(X8,eigenname_1_1)
    | ~ sub(X9,familiename_1_1)
    | ~ prop(X1,schwarz_1_1)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0)
    | ~ pmod(X2,erst_1_1,pr__344sident_1_1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_885) ).

cnf(i_0_388,hypothesis,
    pmod(c6492,erst_1_1,pr__344sident_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_388) ).

cnf(i_0_391,hypothesis,
    val(c6479,mandela_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_391) ).

cnf(i_0_392,hypothesis,
    sub(c6479,familiename_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_392) ).

cnf(i_0_393,hypothesis,
    val(c6478,nelson_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_393) ).

cnf(i_0_394,hypothesis,
    sub(c6478,eigenname_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_394) ).

cnf(i_0_372,hypothesis,
    val(c6516,s__374dafrika_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_372) ).

cnf(i_0_373,hypothesis,
    sub(c6516,name_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_373) ).

cnf(i_0_862,plain,
    ( subr(esk55_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_862) ).

cnf(i_0_868,plain,
    ( arg1(esk55_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_868) ).

cnf(i_0_881,plain,
    ( subr(esk59_2(X1,X2),sub_0)
    | ~ sub(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_881) ).

cnf(i_0_882,plain,
    ( arg2(esk59_2(X1,X2),X2)
    | ~ sub(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_882) ).

cnf(i_0_883,plain,
    ( arg1(esk59_2(X1,X2),X1)
    | ~ sub(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_883) ).

cnf(i_0_390,hypothesis,
    prop(c6485,schwarz_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_390) ).

cnf(i_0_389,hypothesis,
    sub(c6485,c6492),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_389) ).

cnf(i_0_396,hypothesis,
    attr(c6477,c6479),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_396) ).

cnf(i_0_397,hypothesis,
    attr(c6477,c6478),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_397) ).

cnf(i_0_34,plain,
    ( obj(esk6_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_34) ).

cnf(i_0_756,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_756) ).

cnf(i_0_375,hypothesis,
    attr(c6515,c6516),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_375) ).

cnf(i_0_755,plain,
    member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_755) ).

cnf(i_0_395,hypothesis,
    sub(c6477,mensch_1_1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9bh6oel/lgb.p',i_0_395) ).

cnf(c_0_908,negated_conjecture,
    ( ~ sub(X1,X2)
    | ~ obj(X3,X4)
    | ~ arg1(X5,X4)
    | ~ attr(X6,X7)
    | ~ attr(X4,X8)
    | ~ attr(X4,X9)
    | ~ sub(X7,name_1_1)
    | ~ sub(X8,eigenname_1_1)
    | ~ sub(X9,familiename_1_1)
    | ~ prop(X1,schwarz_1_1)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0)
    | ~ pmod(X2,erst_1_1,pr__344sident_1_1) ),
    i_0_885 ).

cnf(c_0_909,hypothesis,
    pmod(c6492,erst_1_1,pr__344sident_1_1),
    i_0_388 ).

cnf(c_0_910,hypothesis,
    ( ~ val(X1,mandela_0)
    | ~ val(X2,nelson_0)
    | ~ val(X3,s__374dafrika_0)
    | ~ subr(X4,rprs_0)
    | ~ prop(X5,schwarz_1_1)
    | ~ attr(X6,X3)
    | ~ attr(X7,X1)
    | ~ attr(X7,X2)
    | ~ arg1(X4,X7)
    | ~ obj(X8,X7)
    | ~ sub(X1,familiename_1_1)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(X3,name_1_1)
    | ~ sub(X5,c6492) ),
    inference(spm,[status(thm)],[c_0_908,c_0_909]) ).

cnf(c_0_911,hypothesis,
    val(c6479,mandela_0),
    i_0_391 ).

cnf(c_0_912,hypothesis,
    sub(c6479,familiename_1_1),
    i_0_392 ).

cnf(c_0_913,hypothesis,
    ( ~ val(X1,nelson_0)
    | ~ val(X2,s__374dafrika_0)
    | ~ subr(X3,rprs_0)
    | ~ prop(X4,schwarz_1_1)
    | ~ attr(X5,c6479)
    | ~ attr(X6,X2)
    | ~ attr(X5,X1)
    | ~ arg1(X3,X5)
    | ~ obj(X7,X5)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(X2,name_1_1)
    | ~ sub(X4,c6492) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_911]),c_0_912])]) ).

cnf(c_0_914,hypothesis,
    val(c6478,nelson_0),
    i_0_393 ).

cnf(c_0_915,hypothesis,
    sub(c6478,eigenname_1_1),
    i_0_394 ).

cnf(c_0_916,hypothesis,
    ( ~ val(X1,s__374dafrika_0)
    | ~ subr(X2,rprs_0)
    | ~ prop(X3,schwarz_1_1)
    | ~ attr(X4,c6479)
    | ~ attr(X4,c6478)
    | ~ attr(X5,X1)
    | ~ arg1(X2,X4)
    | ~ obj(X6,X4)
    | ~ sub(X1,name_1_1)
    | ~ sub(X3,c6492) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_914]),c_0_915])]) ).

cnf(c_0_917,hypothesis,
    val(c6516,s__374dafrika_0),
    i_0_372 ).

cnf(c_0_918,hypothesis,
    sub(c6516,name_1_1),
    i_0_373 ).

cnf(c_0_919,hypothesis,
    ( ~ subr(X1,rprs_0)
    | ~ prop(X2,schwarz_1_1)
    | ~ attr(X3,c6479)
    | ~ attr(X3,c6478)
    | ~ attr(X4,c6516)
    | ~ arg1(X1,X3)
    | ~ obj(X5,X3)
    | ~ sub(X2,c6492) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_917]),c_0_918])]) ).

cnf(c_0_920,plain,
    ( subr(esk55_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    i_0_862 ).

cnf(c_0_921,plain,
    ( ~ arg2(X1,X2)
    | ~ subr(X1,sub_0)
    | ~ prop(X3,schwarz_1_1)
    | ~ attr(X4,c6479)
    | ~ attr(X4,c6478)
    | ~ attr(X5,c6516)
    | ~ arg1(esk55_3(X1,X6,X2),X4)
    | ~ arg1(X1,X6)
    | ~ obj(X7,X4)
    | ~ sub(X3,c6492) ),
    inference(spm,[status(thm)],[c_0_919,c_0_920]) ).

cnf(c_0_922,plain,
    ( arg1(esk55_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    i_0_868 ).

cnf(c_0_923,plain,
    ( ~ arg2(X1,X2)
    | ~ subr(X1,sub_0)
    | ~ prop(X3,schwarz_1_1)
    | ~ attr(X4,c6479)
    | ~ attr(X4,c6478)
    | ~ attr(X5,c6516)
    | ~ arg1(X1,X4)
    | ~ obj(X6,X4)
    | ~ sub(X3,c6492) ),
    inference(spm,[status(thm)],[c_0_921,c_0_922]) ).

cnf(c_0_924,plain,
    ( subr(esk59_2(X1,X2),sub_0)
    | ~ sub(X1,X2) ),
    i_0_881 ).

cnf(c_0_925,plain,
    ( ~ arg2(esk59_2(X1,X2),X3)
    | ~ prop(X4,schwarz_1_1)
    | ~ attr(X5,c6479)
    | ~ attr(X5,c6478)
    | ~ attr(X6,c6516)
    | ~ arg1(esk59_2(X1,X2),X5)
    | ~ obj(X7,X5)
    | ~ sub(X4,c6492)
    | ~ sub(X1,X2) ),
    inference(spm,[status(thm)],[c_0_923,c_0_924]) ).

cnf(c_0_926,plain,
    ( arg2(esk59_2(X1,X2),X2)
    | ~ sub(X1,X2) ),
    i_0_882 ).

cnf(c_0_927,plain,
    ( ~ prop(X1,schwarz_1_1)
    | ~ attr(X2,c6479)
    | ~ attr(X2,c6478)
    | ~ attr(X3,c6516)
    | ~ arg1(esk59_2(X4,X5),X2)
    | ~ obj(X6,X2)
    | ~ sub(X1,c6492)
    | ~ sub(X4,X5) ),
    inference(spm,[status(thm)],[c_0_925,c_0_926]) ).

cnf(c_0_928,plain,
    ( arg1(esk59_2(X1,X2),X1)
    | ~ sub(X1,X2) ),
    i_0_883 ).

cnf(c_0_929,plain,
    ( ~ prop(X1,schwarz_1_1)
    | ~ attr(X2,c6479)
    | ~ attr(X2,c6478)
    | ~ attr(X3,c6516)
    | ~ obj(X4,X2)
    | ~ sub(X1,c6492)
    | ~ sub(X2,X5) ),
    inference(spm,[status(thm)],[c_0_927,c_0_928]) ).

cnf(c_0_930,hypothesis,
    prop(c6485,schwarz_1_1),
    i_0_390 ).

cnf(c_0_931,hypothesis,
    sub(c6485,c6492),
    i_0_389 ).

cnf(c_0_932,hypothesis,
    ( ~ attr(X1,c6479)
    | ~ attr(X1,c6478)
    | ~ attr(X2,c6516)
    | ~ obj(X3,X1)
    | ~ sub(X1,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_929,c_0_930]),c_0_931])]) ).

cnf(c_0_933,hypothesis,
    attr(c6477,c6479),
    i_0_396 ).

cnf(c_0_934,hypothesis,
    attr(c6477,c6478),
    i_0_397 ).

cnf(c_0_935,plain,
    ( obj(esk6_3(X1,X2,X3),X3)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    i_0_34 ).

cnf(c_0_936,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    i_0_756 ).

cnf(c_0_937,hypothesis,
    ( ~ attr(X1,c6516)
    | ~ obj(X2,c6477)
    | ~ sub(c6477,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_933]),c_0_934])]) ).

cnf(c_0_938,hypothesis,
    attr(c6515,c6516),
    i_0_375 ).

cnf(c_0_939,plain,
    ( obj(esk6_3(X1,X2,X3),X3)
    | ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
    | ~ attr(X3,X1)
    | ~ sub(X1,X2) ),
    inference(spm,[status(thm)],[c_0_935,c_0_936]) ).

cnf(c_0_940,plain,
    member(X1,cons(X1,X2)),
    i_0_755 ).

cnf(c_0_941,hypothesis,
    ( ~ obj(X1,c6477)
    | ~ sub(c6477,X2) ),
    inference(spm,[status(thm)],[c_0_937,c_0_938]) ).

cnf(c_0_942,plain,
    ( obj(esk6_3(X1,familiename_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_939,c_0_940]) ).

cnf(c_0_943,plain,
    ( ~ attr(c6477,X1)
    | ~ sub(c6477,X2)
    | ~ sub(X1,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_941,c_0_942]) ).

cnf(c_0_944,hypothesis,
    sub(c6477,mensch_1_1),
    i_0_395 ).

cnf(c_0_945,hypothesis,
    ~ sub(c6477,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_943,c_0_933]),c_0_912])]) ).

cnf(c_0_946,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_944,c_0_945]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : CSR116+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 10 02:23:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.36/0.54  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.54  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.36/0.54  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.36/0.54  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 5.04/2.68  # ENIGMATIC: Solved by autoschedule-lgb:
% 5.04/2.68  # No SInE strategy applied
% 5.04/2.68  # Trying AutoSched0 for 150 seconds
% 5.04/2.68  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.04/2.68  # and selection function SelectComplexExceptUniqMaxHorn.
% 5.04/2.68  #
% 5.04/2.68  # Preprocessing time       : 0.032 s
% 5.04/2.68  # Presaturation interreduction done
% 5.04/2.68  
% 5.04/2.68  # Proof found!
% 5.04/2.68  # SZS status Theorem
% 5.04/2.68  # SZS output start CNFRefutation
% See solution above
% 5.04/2.68  # Training examples: 0 positive, 0 negative
% 5.04/2.68  
% 5.04/2.68  # -------------------------------------------------
% 5.04/2.68  # User time                : 0.063 s
% 5.04/2.68  # System time              : 0.006 s
% 5.04/2.68  # Total time               : 0.069 s
% 5.04/2.68  # Maximum resident set size: 7128 pages
% 5.04/2.68  
%------------------------------------------------------------------------------