TSTP Solution File: LCL462+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL462+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 : Sun Jul 17 09:26:12 EDT 2022

% Result   : Theorem 258.74s 33.79s
% Output   : CNFRefutation 258.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   55 (  33 unt;   0 nHn;  21 RR)
%            Number of literals    :   82 (   0 equ;  30 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  111 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_44,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_44) ).

cnf(i_0_38,plain,
    modus_ponens,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_38) ).

cnf(i_0_8,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
    | ~ cn1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_8) ).

cnf(i_0_35,plain,
    cn1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_35) ).

cnf(i_0_10,plain,
    ( is_a_theorem(implies(X1,implies(not(X1),X2)))
    | ~ cn2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_10) ).

cnf(i_0_36,plain,
    cn2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_36) ).

cnf(i_0_12,plain,
    ( is_a_theorem(implies(implies(not(X1),X1),X1))
    | ~ cn3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_12) ).

cnf(i_0_37,plain,
    cn3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_37) ).

cnf(i_0_45,plain,
    ( modus_tollens
    | ~ is_a_theorem(implies(implies(not(esk35_0),not(esk34_0)),implies(esk34_0,esk35_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_45) ).

cnf(i_0_19,negated_conjecture,
    ~ modus_tollens,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44kj01ya/input.p',i_0_19) ).

cnf(c_0_56,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    i_0_44 ).

cnf(c_0_57,plain,
    modus_ponens,
    i_0_38 ).

cnf(c_0_58,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
    | ~ cn1 ),
    i_0_8 ).

cnf(c_0_59,plain,
    cn1,
    i_0_35 ).

cnf(c_0_60,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).

cnf(c_0_61,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).

cnf(c_0_62,plain,
    ( is_a_theorem(implies(X1,implies(not(X1),X2)))
    | ~ cn2 ),
    i_0_10 ).

cnf(c_0_63,plain,
    cn2,
    i_0_36 ).

cnf(c_0_64,plain,
    ( is_a_theorem(implies(implies(not(X1),X1),X1))
    | ~ cn3 ),
    i_0_12 ).

cnf(c_0_65,plain,
    cn3,
    i_0_37 ).

cnf(c_0_66,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,plain,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

cnf(c_0_68,plain,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).

cnf(c_0_69,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))),
    inference(spm,[status(thm)],[c_0_66,c_0_61]) ).

cnf(c_0_70,plain,
    is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_71,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))),
    inference(spm,[status(thm)],[c_0_66,c_0_68]) ).

cnf(c_0_72,plain,
    ( is_a_theorem(implies(implies(X1,X2),X3))
    | ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_69]) ).

cnf(c_0_73,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(not(X1),X3),X2)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_70]) ).

cnf(c_0_74,plain,
    is_a_theorem(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3))),
    inference(spm,[status(thm)],[c_0_66,c_0_71]) ).

cnf(c_0_75,plain,
    is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_72,c_0_70]) ).

cnf(c_0_76,plain,
    ( is_a_theorem(implies(not(X1),X2))
    | ~ is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_67]) ).

cnf(c_0_77,plain,
    is_a_theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_73,c_0_68]) ).

cnf(c_0_78,plain,
    is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(implies(X2,X3),implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_72,c_0_74]) ).

cnf(c_0_79,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,not(X1))) ),
    inference(spm,[status(thm)],[c_0_60,c_0_75]) ).

cnf(c_0_80,plain,
    is_a_theorem(implies(not(implies(X1,X1)),X2)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,implies(not(X1),X1))) ),
    inference(spm,[status(thm)],[c_0_60,c_0_78]) ).

cnf(c_0_82,plain,
    is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3))),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_83,plain,
    is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_84,plain,
    is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),implies(X1,implies(X4,X3))))),
    inference(spm,[status(thm)],[c_0_72,c_0_69]) ).

cnf(c_0_85,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))),
    inference(spm,[status(thm)],[c_0_81,c_0_83]) ).

cnf(c_0_86,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))
    | ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
    inference(spm,[status(thm)],[c_0_60,c_0_84]) ).

cnf(c_0_87,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X2,not(X1)),X4))),
    inference(spm,[status(thm)],[c_0_66,c_0_75]) ).

cnf(c_0_88,plain,
    ( is_a_theorem(implies(implies(implies(X1,X1),X2),X3))
    | ~ is_a_theorem(implies(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_85]) ).

cnf(c_0_89,plain,
    is_a_theorem(implies(implies(X1,implies(implies(X2,X2),X3)),implies(implies(X3,X4),implies(X1,X4)))),
    inference(spm,[status(thm)],[c_0_86,c_0_85]) ).

cnf(c_0_90,plain,
    ( is_a_theorem(implies(implies(X1,not(X2)),X3))
    | ~ is_a_theorem(implies(implies(X2,implies(X1,X4)),X3)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_87]) ).

cnf(c_0_91,plain,
    is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
    inference(spm,[status(thm)],[c_0_88,c_0_77]) ).

cnf(c_0_92,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,implies(implies(X4,X4),X1))) ),
    inference(spm,[status(thm)],[c_0_60,c_0_89]) ).

cnf(c_0_93,plain,
    is_a_theorem(implies(implies(not(X1),not(X2)),implies(implies(X1,X3),implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_90,c_0_78]) ).

cnf(c_0_94,plain,
    ( modus_tollens
    | ~ is_a_theorem(implies(implies(not(esk35_0),not(esk34_0)),implies(esk34_0,esk35_0))) ),
    i_0_45 ).

cnf(c_0_95,negated_conjecture,
    ~ modus_tollens,
    i_0_19 ).

cnf(c_0_96,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_91]) ).

cnf(c_0_97,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(not(X2),not(X1)),X3))),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_98,plain,
    ~ is_a_theorem(implies(implies(not(esk35_0),not(esk34_0)),implies(esk34_0,esk35_0))),
    inference(sr,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_99,plain,
    is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_100,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL462+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.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 : Sat Jul  2 19:23:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 250.65/32.74  eprover: CPU time limit exceeded, terminating
% 250.65/32.81  eprover: CPU time limit exceeded, terminating
% 258.74/33.79  # ENIGMATIC: Solved by Enigma+T5d16l600+G_E___200_B02_F1_SE_CS_SP_PI_S0S+loop07+coop:
% 258.74/33.79  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/T5d16l600/G_E___200_B02_F1_SE_CS_SP_PI_S0S/loop07/model.lgb' loaded. (hash_base: 32768; conj_feats: 9; version: 991; iters: 200)
% 258.74/33.79  # Preprocessing time       : 0.154 s
% 258.74/33.79  
% 258.74/33.79  # Proof found!
% 258.74/33.79  # SZS status Theorem
% 258.74/33.79  # SZS output start CNFRefutation
% See solution above
% 258.74/33.79  # Training examples: 0 positive, 0 negative
% 258.74/33.79  
% 258.74/33.79  # -------------------------------------------------
% 258.74/33.79  # User time                : 0.349 s
% 258.74/33.79  # System time              : 0.020 s
% 258.74/33.79  # Total time               : 0.369 s
% 258.74/33.79  # ...preprocessing         : 0.154 s
% 258.74/33.79  # ...main loop             : 0.215 s
% 258.74/33.79  # Maximum resident set size: 33660 pages
% 258.74/33.79  
%------------------------------------------------------------------------------