TSTP Solution File: SWC310+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC310+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 : Tue Jul 19 20:14:54 EDT 2022

% Result   : Theorem 7.95s 2.43s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   66 (  13 unt;  15 nHn;  66 RR)
%            Number of literals    :  170 (  72 equ;  92 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,negated_conjecture,
    ( nil = esk49_0
    | esk48_0 != X1
    | hd(esk49_0) != X2
    | tl(esk49_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_193) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_58) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk51_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_202) ).

cnf(i_0_201,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_201) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_56) ).

cnf(i_0_196,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_196) ).

cnf(i_0_198,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_198) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_197) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_54) ).

cnf(i_0_194,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_194) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_44) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_154) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_43) ).

cnf(i_0_55,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_55) ).

cnf(i_0_195,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_195) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_200) ).

cnf(i_0_57,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_57) ).

cnf(i_0_199,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_199) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_42) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ncuwuxbj/lgb.p',i_0_192) ).

cnf(c_0_224,negated_conjecture,
    ( nil = esk49_0
    | esk48_0 != X1
    | hd(esk49_0) != X2
    | tl(esk49_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0) ),
    i_0_193 ).

cnf(c_0_225,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_226,negated_conjecture,
    ssList(esk51_0),
    i_0_202 ).

cnf(c_0_227,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_201 ).

cnf(c_0_228,negated_conjecture,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk48_0
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ ssList(tl(esk49_0))
    | ~ ssItem(hd(esk49_0))
    | ~ neq(nil,esk49_0) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_224])])])]),c_0_225]) ).

cnf(c_0_229,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_230,negated_conjecture,
    ssList(esk49_0),
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_231,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_196 ).

cnf(c_0_232,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_198 ).

cnf(c_0_233,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_234,negated_conjecture,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk48_0
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ ssItem(hd(esk49_0))
    | ~ neq(nil,esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]) ).

cnf(c_0_235,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_236,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk49_0
    | ~ neq(esk49_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_227]),c_0_227]) ).

cnf(c_0_237,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    i_0_194 ).

cnf(c_0_238,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk49_0,nil) ),
    inference(rw,[status(thm)],[c_0_232,c_0_227]) ).

cnf(c_0_239,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk49_0,nil) ),
    inference(rw,[status(thm)],[c_0_233,c_0_227]) ).

cnf(c_0_240,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk48_0
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ neq(nil,esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_230])]) ).

cnf(c_0_241,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_242,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_243,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_244,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk49_0
    | esk49_0 = nil ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_245,negated_conjecture,
    ( esk49_0 = nil
    | ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_237]) ).

cnf(c_0_246,negated_conjecture,
    ( esk49_0 = nil
    | ssList(esk53_0) ),
    inference(spm,[status(thm)],[c_0_239,c_0_237]) ).

cnf(c_0_247,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk48_0
    | ~ ssList(cons(hd(esk49_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_230]),c_0_242])]) ).

cnf(c_0_248,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_249,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_55 ).

cnf(c_0_250,plain,
    ( cons(esk52_0,esk53_0) = esk49_0
    | esk49_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_246]) ).

cnf(c_0_251,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_252,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_253,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk48_0
    | ~ ssItem(hd(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_242])]) ).

cnf(c_0_254,plain,
    ( hd(esk49_0) = esk52_0
    | esk49_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_245]),c_0_246]) ).

cnf(c_0_255,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_57 ).

cnf(c_0_256,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk48_0
    | ~ neq(esk49_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252]),c_0_227]) ).

cnf(c_0_257,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_199 ).

cnf(c_0_258,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(esk52_0,nil)) != esk48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_245]) ).

cnf(c_0_259,plain,
    ( tl(esk49_0) = esk53_0
    | esk49_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_250]),c_0_245]),c_0_246]) ).

cnf(c_0_260,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk48_0
    | esk49_0 = nil ),
    inference(spm,[status(thm)],[c_0_256,c_0_237]) ).

cnf(c_0_261,negated_conjecture,
    ( esk48_0 = nil
    | esk49_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_252]),c_0_227]) ).

cnf(c_0_262,plain,
    esk49_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).

cnf(c_0_263,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_264,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_192 ).

cnf(c_0_265,negated_conjecture,
    esk48_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_262])]) ).

cnf(c_0_266,plain,
    ( ~ ssList(X1)
    | ~ neq(X1,X1) ),
    inference(er,[status(thm)],[c_0_263]) ).

cnf(c_0_267,negated_conjecture,
    neq(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_262]),c_0_265])]) ).

cnf(c_0_268,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_242])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC310+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 23:02:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.95/2.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.95/2.43  # No SInE strategy applied
% 7.95/2.43  # Trying AutoSched0 for 150 seconds
% 7.95/2.43  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.95/2.43  # and selection function SelectNewComplexAHP.
% 7.95/2.43  #
% 7.95/2.43  # Preprocessing time       : 0.013 s
% 7.95/2.43  # Presaturation interreduction done
% 7.95/2.43  
% 7.95/2.43  # Proof found!
% 7.95/2.43  # SZS status Theorem
% 7.95/2.43  # SZS output start CNFRefutation
% See solution above
% 7.95/2.43  # Training examples: 0 positive, 0 negative
% 7.95/2.43  
% 7.95/2.43  # -------------------------------------------------
% 7.95/2.43  # User time                : 0.024 s
% 7.95/2.43  # System time              : 0.006 s
% 7.95/2.43  # Total time               : 0.030 s
% 7.95/2.43  # Maximum resident set size: 7124 pages
% 7.95/2.43  
%------------------------------------------------------------------------------