TSTP Solution File: SWC265+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC265+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 20:14:38 EDT 2022

% Result   : Theorem 17.12s 3.54s
% Output   : CNFRefutation 17.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   52 (  11 unt;  12 nHn;  52 RR)
%            Number of literals    :  192 (  14 equ; 138 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_192,negated_conjecture,
    ( lt(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_192) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_155) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_154) ).

cnf(i_0_191,negated_conjecture,
    ~ totalorderedP(esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_191) ).

cnf(i_0_194,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_194) ).

cnf(i_0_11,plain,
    ( app(app(esk8_1(X1),cons(esk6_1(X1),esk9_1(X1))),cons(esk7_1(X1),esk10_1(X1))) = X1
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_11) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_197) ).

cnf(i_0_81,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_81) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_58) ).

cnf(i_0_178,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_178) ).

cnf(i_0_10,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk6_1(X1),esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_10) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_43) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_44) ).

cnf(i_0_15,plain,
    ( totalorderedP(X1)
    | ssItem(esk7_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_15) ).

cnf(i_0_16,plain,
    ( totalorderedP(X1)
    | ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_16) ).

cnf(i_0_12,plain,
    ( totalorderedP(X1)
    | ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_12) ).

cnf(i_0_13,plain,
    ( totalorderedP(X1)
    | ssList(esk9_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_13) ).

cnf(i_0_14,plain,
    ( totalorderedP(X1)
    | ssList(esk8_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_yd44bzh/input.p',i_0_14) ).

cnf(c_0_216,negated_conjecture,
    ( lt(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1) ),
    i_0_192 ).

cnf(c_0_217,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_218,plain,
    ( lt(X1,X2)
    | app(X3,app(cons(X2,nil),X4)) != esk50_0
    | ~ memberP(X3,X1)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(cons(X2,nil))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_219,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_220,negated_conjecture,
    ~ totalorderedP(esk48_0),
    i_0_191 ).

cnf(c_0_221,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_194 ).

cnf(c_0_222,plain,
    ( lt(X1,X2)
    | app(X3,cons(X2,X4)) != esk50_0
    | ~ memberP(X3,X1)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(cons(X2,nil))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_223,plain,
    ( app(app(esk8_1(X1),cons(esk6_1(X1),esk9_1(X1))),cons(esk7_1(X1),esk10_1(X1))) = X1
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_11 ).

cnf(c_0_224,negated_conjecture,
    ssList(esk50_0),
    i_0_197 ).

cnf(c_0_225,negated_conjecture,
    ~ totalorderedP(esk50_0),
    inference(rw,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_226,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    i_0_81 ).

cnf(c_0_227,plain,
    ( lt(X1,esk7_1(esk50_0))
    | ~ memberP(app(esk8_1(esk50_0),cons(esk6_1(esk50_0),esk9_1(esk50_0))),X1)
    | ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(app(esk8_1(esk50_0),cons(esk6_1(esk50_0),esk9_1(esk50_0))))
    | ~ ssList(cons(esk7_1(esk50_0),nil))
    | ~ ssList(esk10_1(esk50_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223])]),c_0_224])]),c_0_225]) ).

cnf(c_0_228,plain,
    ( memberP(app(X1,cons(X2,X3)),X2)
    | ~ ssItem(X2)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_226]) ).

cnf(c_0_229,plain,
    ( lt(esk6_1(esk50_0),esk7_1(esk50_0))
    | ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(app(esk8_1(esk50_0),cons(esk6_1(esk50_0),esk9_1(esk50_0))))
    | ~ ssList(cons(esk7_1(esk50_0),nil))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_230,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_231,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X1,X2) ),
    i_0_178 ).

cnf(c_0_232,plain,
    ( lt(esk6_1(esk50_0),esk7_1(esk50_0))
    | ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(cons(esk6_1(esk50_0),esk9_1(esk50_0)))
    | ~ ssList(cons(esk7_1(esk50_0),nil))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_233,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk6_1(X1),esk7_1(X1)) ),
    i_0_10 ).

cnf(c_0_234,plain,
    ( leq(esk6_1(esk50_0),esk7_1(esk50_0))
    | ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(cons(esk6_1(esk50_0),esk9_1(esk50_0)))
    | ~ ssList(cons(esk7_1(esk50_0),nil))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_235,plain,
    ( ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(cons(esk6_1(esk50_0),esk9_1(esk50_0)))
    | ~ ssList(cons(esk7_1(esk50_0),nil))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_224])]),c_0_225]) ).

cnf(c_0_236,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_237,plain,
    ( ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(cons(esk7_1(esk50_0),nil))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_238,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_239,plain,
    ( ~ ssItem(esk7_1(esk50_0))
    | ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_236]),c_0_238])]) ).

cnf(c_0_240,plain,
    ( totalorderedP(X1)
    | ssItem(esk7_1(X1))
    | ~ ssList(X1) ),
    i_0_15 ).

cnf(c_0_241,plain,
    ( ~ ssItem(esk6_1(esk50_0))
    | ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_224])]),c_0_225]) ).

cnf(c_0_242,plain,
    ( totalorderedP(X1)
    | ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    i_0_16 ).

cnf(c_0_243,plain,
    ( ~ ssList(esk10_1(esk50_0))
    | ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_224])]),c_0_225]) ).

cnf(c_0_244,plain,
    ( totalorderedP(X1)
    | ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    i_0_12 ).

cnf(c_0_245,plain,
    ( ~ ssList(esk9_1(esk50_0))
    | ~ ssList(esk8_1(esk50_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_224])]),c_0_225]) ).

cnf(c_0_246,plain,
    ( totalorderedP(X1)
    | ssList(esk9_1(X1))
    | ~ ssList(X1) ),
    i_0_13 ).

cnf(c_0_247,plain,
    ~ ssList(esk8_1(esk50_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_224])]),c_0_225]) ).

cnf(c_0_248,plain,
    ( totalorderedP(X1)
    | ssList(esk8_1(X1))
    | ~ ssList(X1) ),
    i_0_14 ).

cnf(c_0_249,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_224])]),c_0_225]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWC265+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.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 : Sun Jun 12 08:17:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.12/3.54  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.12/3.54  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 59; version: 991; iters: 150)
% 17.12/3.54  # Preprocessing time       : 1.247 s
% 17.12/3.54  # Presaturation interreduction done
% 17.12/3.54  
% 17.12/3.54  # Proof found!
% 17.12/3.54  # SZS status Theorem
% 17.12/3.54  # SZS output start CNFRefutation
% See solution above
% 17.12/3.54  # Training examples: 0 positive, 0 negative
% 17.12/3.54  
% 17.12/3.54  # -------------------------------------------------
% 17.12/3.54  # User time                : 1.183 s
% 17.12/3.54  # System time              : 0.148 s
% 17.12/3.54  # Total time               : 1.331 s
% 17.12/3.54  # ...preprocessing         : 1.247 s
% 17.12/3.54  # ...main loop             : 0.084 s
% 17.12/3.54  # Maximum resident set size: 185280 pages
% 17.12/3.54  
%------------------------------------------------------------------------------