TSTP Solution File: CSR116+19 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR116+19 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 02:49:31 EDT 2022

% Result   : Theorem 7.18s 2.62s
% Output   : CNFRefutation 7.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   60 (  24 unt;   0 nHn;  56 RR)
%            Number of literals    :  223 (   0 equ; 179 neg)
%            Maximal clause size   :   14 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  15 con; 0-3 aty)
%            Number of variables   :  153 (  46 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_843,negated_conjecture,
    ( ~ sub(X1,X2)
    | ~ obj(X3,X4)
    | ~ arg1(X5,X4)
    | ~ arg2(X5,X1)
    | ~ attr(X6,X7)
    | ~ attr(X4,X8)
    | ~ attr(X4,X9)
    | ~ sub(X7,name_1_1)
    | ~ sub(X8,eigenname_1_1)
    | ~ sub(X9,familiename_1_1)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_843) ).

cnf(i_0_328,hypothesis,
    val(c9253,mandela_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_328) ).

cnf(i_0_329,hypothesis,
    sub(c9253,familiename_1_1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_329) ).

cnf(i_0_330,hypothesis,
    val(c9252,nelson_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_330) ).

cnf(i_0_331,hypothesis,
    sub(c9252,eigenname_1_1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_331) ).

cnf(i_0_335,hypothesis,
    val(c9246,s__374dafrika_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_335) ).

cnf(i_0_336,hypothesis,
    sub(c9246,name_1_1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_336) ).

cnf(i_0_680,plain,
    ( subr(esk22_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_680) ).

cnf(i_0_684,plain,
    ( arg2(esk22_3(X1,X2,X3),X3)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_684) ).

cnf(i_0_685,plain,
    ( arg1(esk22_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_685) ).

cnf(i_0_37,plain,
    ( subs(esk7_3(X1,X2,X3),hei__337en_1_1)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_37) ).

cnf(i_0_713,plain,
    member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_713) ).

cnf(i_0_38,plain,
    ( arg2(esk7_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/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_38) ).

cnf(i_0_39,plain,
    ( arg1(esk7_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/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_39) ).

cnf(i_0_333,hypothesis,
    attr(c9251,c9253),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_333) ).

cnf(i_0_334,hypothesis,
    attr(c9251,c9252),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_334) ).

cnf(i_0_338,hypothesis,
    attr(c9245,c9246),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_338) ).

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/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_34) ).

cnf(i_0_714,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_714) ).

cnf(i_0_332,hypothesis,
    sub(c9251,pr__344sident_1_1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zvp8a6b5/lgb.p',i_0_332) ).

cnf(c_0_864,negated_conjecture,
    ( ~ sub(X1,X2)
    | ~ obj(X3,X4)
    | ~ arg1(X5,X4)
    | ~ arg2(X5,X1)
    | ~ attr(X6,X7)
    | ~ attr(X4,X8)
    | ~ attr(X4,X9)
    | ~ sub(X7,name_1_1)
    | ~ sub(X8,eigenname_1_1)
    | ~ sub(X9,familiename_1_1)
    | ~ subr(X5,rprs_0)
    | ~ val(X7,s__374dafrika_0)
    | ~ val(X8,nelson_0)
    | ~ val(X9,mandela_0) ),
    i_0_843 ).

cnf(c_0_865,hypothesis,
    val(c9253,mandela_0),
    i_0_328 ).

cnf(c_0_866,hypothesis,
    sub(c9253,familiename_1_1),
    i_0_329 ).

cnf(c_0_867,hypothesis,
    ( ~ val(X1,nelson_0)
    | ~ val(X2,s__374dafrika_0)
    | ~ subr(X3,rprs_0)
    | ~ attr(X4,c9253)
    | ~ attr(X5,X2)
    | ~ attr(X4,X1)
    | ~ arg2(X3,X6)
    | ~ arg1(X3,X4)
    | ~ obj(X7,X4)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(X2,name_1_1)
    | ~ sub(X6,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_865]),c_0_866])]) ).

cnf(c_0_868,hypothesis,
    val(c9252,nelson_0),
    i_0_330 ).

cnf(c_0_869,hypothesis,
    sub(c9252,eigenname_1_1),
    i_0_331 ).

cnf(c_0_870,hypothesis,
    ( ~ val(X1,s__374dafrika_0)
    | ~ subr(X2,rprs_0)
    | ~ attr(X3,c9253)
    | ~ attr(X3,c9252)
    | ~ attr(X4,X1)
    | ~ arg2(X2,X5)
    | ~ arg1(X2,X3)
    | ~ obj(X6,X3)
    | ~ sub(X1,name_1_1)
    | ~ sub(X5,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_867,c_0_868]),c_0_869])]) ).

cnf(c_0_871,hypothesis,
    val(c9246,s__374dafrika_0),
    i_0_335 ).

cnf(c_0_872,hypothesis,
    sub(c9246,name_1_1),
    i_0_336 ).

cnf(c_0_873,hypothesis,
    ( ~ subr(X1,rprs_0)
    | ~ attr(X2,c9253)
    | ~ attr(X2,c9252)
    | ~ attr(X3,c9246)
    | ~ arg2(X1,X4)
    | ~ arg1(X1,X2)
    | ~ obj(X5,X2)
    | ~ sub(X4,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_870,c_0_871]),c_0_872])]) ).

cnf(c_0_874,plain,
    ( subr(esk22_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_680 ).

cnf(c_0_875,plain,
    ( ~ subs(X1,hei__337en_1_1)
    | ~ attr(X2,c9253)
    | ~ attr(X2,c9252)
    | ~ attr(X3,c9246)
    | ~ arg2(esk22_3(X1,X4,X5),X6)
    | ~ arg2(X1,X5)
    | ~ arg1(esk22_3(X1,X4,X5),X2)
    | ~ arg1(X1,X4)
    | ~ obj(X7,X2)
    | ~ sub(X6,X8) ),
    inference(spm,[status(thm)],[c_0_873,c_0_874]) ).

cnf(c_0_876,plain,
    ( arg2(esk22_3(X1,X2,X3),X3)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_684 ).

cnf(c_0_877,plain,
    ( ~ subs(X1,hei__337en_1_1)
    | ~ attr(X2,c9253)
    | ~ attr(X2,c9252)
    | ~ attr(X3,c9246)
    | ~ arg2(X1,X4)
    | ~ arg1(esk22_3(X1,X5,X4),X2)
    | ~ arg1(X1,X5)
    | ~ obj(X6,X2)
    | ~ sub(X4,X7) ),
    inference(spm,[status(thm)],[c_0_875,c_0_876]) ).

cnf(c_0_878,plain,
    ( arg1(esk22_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subs(X1,hei__337en_1_1) ),
    i_0_685 ).

cnf(c_0_879,plain,
    ( subs(esk7_3(X1,X2,X3),hei__337en_1_1)
    | ~ sub(X1,X2)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    i_0_37 ).

cnf(c_0_880,plain,
    member(X1,cons(X1,X2)),
    i_0_713 ).

cnf(c_0_881,plain,
    ( ~ subs(X1,hei__337en_1_1)
    | ~ attr(X2,c9253)
    | ~ attr(X2,c9252)
    | ~ attr(X3,c9246)
    | ~ arg2(X1,X4)
    | ~ arg1(X1,X2)
    | ~ obj(X5,X2)
    | ~ sub(X4,X6) ),
    inference(spm,[status(thm)],[c_0_877,c_0_878]) ).

cnf(c_0_882,plain,
    ( subs(esk7_3(X1,eigenname_1_1,X2),hei__337en_1_1)
    | ~ attr(X2,X1)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_879,c_0_880]) ).

cnf(c_0_883,plain,
    ( arg2(esk7_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_38 ).

cnf(c_0_884,plain,
    ( ~ attr(X1,c9253)
    | ~ attr(X1,c9252)
    | ~ attr(X2,c9246)
    | ~ attr(X3,X4)
    | ~ arg2(esk7_3(X4,eigenname_1_1,X3),X5)
    | ~ arg1(esk7_3(X4,eigenname_1_1,X3),X1)
    | ~ obj(X6,X1)
    | ~ sub(X4,eigenname_1_1)
    | ~ sub(X5,X7) ),
    inference(spm,[status(thm)],[c_0_881,c_0_882]) ).

cnf(c_0_885,plain,
    ( arg2(esk7_3(X1,eigenname_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_883,c_0_880]) ).

cnf(c_0_886,plain,
    ( arg1(esk7_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_39 ).

cnf(c_0_887,plain,
    ( ~ attr(X1,c9253)
    | ~ attr(X1,c9252)
    | ~ attr(X2,c9246)
    | ~ attr(X3,X4)
    | ~ arg1(esk7_3(X4,eigenname_1_1,X3),X1)
    | ~ obj(X5,X1)
    | ~ sub(X4,eigenname_1_1)
    | ~ sub(X3,X6) ),
    inference(spm,[status(thm)],[c_0_884,c_0_885]) ).

cnf(c_0_888,plain,
    ( arg1(esk7_3(X1,eigenname_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,eigenname_1_1) ),
    inference(spm,[status(thm)],[c_0_886,c_0_880]) ).

cnf(c_0_889,plain,
    ( ~ attr(X1,c9253)
    | ~ attr(X1,c9252)
    | ~ attr(X2,c9246)
    | ~ attr(X1,X3)
    | ~ obj(X4,X1)
    | ~ sub(X3,eigenname_1_1)
    | ~ sub(X1,X5) ),
    inference(spm,[status(thm)],[c_0_887,c_0_888]) ).

cnf(c_0_890,hypothesis,
    attr(c9251,c9253),
    i_0_333 ).

cnf(c_0_891,hypothesis,
    attr(c9251,c9252),
    i_0_334 ).

cnf(c_0_892,hypothesis,
    ( ~ attr(X1,c9246)
    | ~ attr(c9251,X2)
    | ~ obj(X3,c9251)
    | ~ sub(X2,eigenname_1_1)
    | ~ sub(c9251,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_889,c_0_890]),c_0_891])]) ).

cnf(c_0_893,hypothesis,
    attr(c9245,c9246),
    i_0_338 ).

cnf(c_0_894,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_895,plain,
    ( member(X1,cons(X2,X3))
    | ~ member(X1,X3) ),
    i_0_714 ).

cnf(c_0_896,hypothesis,
    ( ~ attr(c9251,X1)
    | ~ obj(X2,c9251)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(c9251,X3) ),
    inference(spm,[status(thm)],[c_0_892,c_0_893]) ).

cnf(c_0_897,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_894,c_0_895]) ).

cnf(c_0_898,hypothesis,
    ( ~ obj(X1,c9251)
    | ~ sub(c9251,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_891]),c_0_869])]) ).

cnf(c_0_899,plain,
    ( obj(esk6_3(X1,familiename_1_1,X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_897,c_0_880]) ).

cnf(c_0_900,plain,
    ( ~ attr(c9251,X1)
    | ~ sub(c9251,X2)
    | ~ sub(X1,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_898,c_0_899]) ).

cnf(c_0_901,hypothesis,
    sub(c9251,pr__344sident_1_1),
    i_0_332 ).

cnf(c_0_902,hypothesis,
    ~ sub(c9251,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_890]),c_0_866])]) ).

cnf(c_0_903,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_901,c_0_902]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : CSR116+19 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.29  % Computer : n011.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 11 10:19:18 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.40  # ENIGMATIC: Selected SinE mode:
% 0.36/0.53  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.36/0.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.36/0.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.18/2.62  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.18/2.62  # No SInE strategy applied
% 7.18/2.62  # Trying AutoSched0 for 150 seconds
% 7.18/2.62  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.18/2.62  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.18/2.62  #
% 7.18/2.62  # Preprocessing time       : 0.031 s
% 7.18/2.62  # Presaturation interreduction done
% 7.18/2.62  
% 7.18/2.62  # Proof found!
% 7.18/2.62  # SZS status Theorem
% 7.18/2.62  # SZS output start CNFRefutation
% See solution above
% 7.18/2.62  # Training examples: 0 positive, 0 negative
% 7.18/2.62  
% 7.18/2.62  # -------------------------------------------------
% 7.18/2.62  # User time                : 0.060 s
% 7.18/2.62  # System time              : 0.012 s
% 7.18/2.62  # Total time               : 0.072 s
% 7.18/2.62  # Maximum resident set size: 7124 pages
% 7.18/2.62  
%------------------------------------------------------------------------------