TSTP Solution File: SWC307+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC307+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 20:14:53 EDT 2022

% Result   : Theorem 4.51s 2.29s
% Output   : CNFRefutation 4.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  103 (  34 unt;  13 nHn; 103 RR)
%            Number of literals    :  271 (  75 equ; 164 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :   84 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_193) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_200) ).

cnf(i_0_157,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_157) ).

cnf(i_0_194,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_194) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_58) ).

cnf(i_0_158,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_158) ).

cnf(i_0_195,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_195) ).

cnf(i_0_196,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_196) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_43) ).

cnf(i_0_197,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_197) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_44) ).

cnf(i_0_198,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_198) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_205) ).

cnf(i_0_45,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_45) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_54) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_56) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_147) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_155) ).

cnf(i_0_47,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_47) ).

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-xgwwal1c/lgb.p',i_0_154) ).

cnf(i_0_99,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_99) ).

cnf(i_0_100,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_100) ).

cnf(i_0_25,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_25) ).

cnf(i_0_69,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_69) ).

cnf(i_0_192,negated_conjecture,
    lt(esk53_0,esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_192) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_41) ).

cnf(i_0_128,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_128) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk51_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_202) ).

cnf(i_0_191,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_191) ).

cnf(i_0_106,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ segmentP(X2,X1)
    | ~ segmentP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_106) ).

cnf(i_0_199,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_199) ).

cnf(i_0_109,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xgwwal1c/lgb.p',i_0_109) ).

cnf(c_0_238,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    i_0_193 ).

cnf(c_0_239,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_240,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_157 ).

cnf(c_0_241,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_242,negated_conjecture,
    ssList(esk56_0),
    i_0_194 ).

cnf(c_0_243,negated_conjecture,
    ( app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242])]) ).

cnf(c_0_244,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_245,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_158 ).

cnf(c_0_246,plain,
    ( app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_247,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_248,negated_conjecture,
    ssList(esk55_0),
    i_0_195 ).

cnf(c_0_249,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_244]),c_0_248])]) ).

cnf(c_0_250,negated_conjecture,
    ssList(esk54_0),
    i_0_196 ).

cnf(c_0_251,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_244]),c_0_250])]) ).

cnf(c_0_252,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_253,negated_conjecture,
    ssItem(esk53_0),
    i_0_197 ).

cnf(c_0_254,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_255,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_254])]) ).

cnf(c_0_256,negated_conjecture,
    ssItem(esk52_0),
    i_0_198 ).

cnf(c_0_257,negated_conjecture,
    ssList(esk48_0),
    i_0_205 ).

cnf(c_0_258,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_259,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_252]),c_0_256]),c_0_254])]) ).

cnf(c_0_260,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_261,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_257,c_0_239]) ).

cnf(c_0_262,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_263,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_264,plain,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_253]),c_0_254])]) ).

cnf(c_0_265,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(hd(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_266,negated_conjecture,
    ( esk50_0 = nil
    | ssList(tl(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_262,c_0_261]) ).

cnf(c_0_267,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_268,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_47 ).

cnf(c_0_269,negated_conjecture,
    cons(hd(esk50_0),tl(esk50_0)) = esk50_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_261]),c_0_264]) ).

cnf(c_0_270,negated_conjecture,
    ssItem(hd(esk50_0)),
    inference(sr,[status(thm)],[c_0_265,c_0_264]) ).

cnf(c_0_271,negated_conjecture,
    ssList(tl(esk50_0)),
    inference(sr,[status(thm)],[c_0_266,c_0_264]) ).

cnf(c_0_272,negated_conjecture,
    ( app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_267]),c_0_248]),c_0_250])]) ).

cnf(c_0_273,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_274,plain,
    ( X1 = hd(esk50_0)
    | cons(X1,X2) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]),c_0_271])]) ).

cnf(c_0_275,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_99 ).

cnf(c_0_276,plain,
    ( app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_256]),c_0_248])]) ).

cnf(c_0_277,plain,
    ( esk31_1(esk50_0) = hd(esk50_0)
    | ~ ssItem(esk31_1(esk50_0))
    | ~ singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_254])])]),c_0_261])]) ).

cnf(c_0_278,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_100 ).

cnf(c_0_279,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    i_0_25 ).

cnf(c_0_280,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_276]),c_0_242])]) ).

cnf(c_0_281,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    i_0_69 ).

cnf(c_0_282,negated_conjecture,
    lt(esk53_0,esk52_0),
    i_0_192 ).

cnf(c_0_283,plain,
    ( esk31_1(esk50_0) = hd(esk50_0)
    | ~ singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_261])]) ).

cnf(c_0_284,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_285,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_279]) ).

cnf(c_0_286,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_273]),c_0_253]),c_0_242])]) ).

cnf(c_0_287,negated_conjecture,
    ~ lt(esk52_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_253]),c_0_256])]) ).

cnf(c_0_288,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_128 ).

cnf(c_0_289,plain,
    ( cons(hd(esk50_0),nil) = esk50_0
    | ~ singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_283]),c_0_261])]) ).

cnf(c_0_290,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_284,c_0_254]) ).

cnf(c_0_291,negated_conjecture,
    ssList(esk51_0),
    i_0_202 ).

cnf(c_0_292,plain,
    ( ~ strictorderedP(esk50_0)
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_253]),c_0_256]),c_0_261]),c_0_242]),c_0_248]),c_0_250])]),c_0_287]) ).

cnf(c_0_293,plain,
    ( strictorderedP(esk50_0)
    | ~ singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_270])]) ).

cnf(c_0_294,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_295,negated_conjecture,
    ( esk51_0 = nil
    | neq(esk51_0,nil) ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_296,plain,
    ( ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil))
    | ~ singletonP(esk50_0) ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_297,negated_conjecture,
    ( esk51_0 = nil
    | singletonP(esk50_0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_298,negated_conjecture,
    ( esk51_0 = nil
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_299,plain,
    ( esk51_0 = nil
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_244]),c_0_250])]) ).

cnf(c_0_300,plain,
    ( esk51_0 = nil
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_252]),c_0_253]),c_0_254])]) ).

cnf(c_0_301,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ segmentP(X2,X1)
    | ~ segmentP(X1,X2) ),
    i_0_106 ).

cnf(c_0_302,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    i_0_199 ).

cnf(c_0_303,plain,
    ( esk51_0 = nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_252]),c_0_256]),c_0_248])]) ).

cnf(c_0_304,negated_conjecture,
    ( esk51_0 = esk50_0
    | ~ segmentP(esk50_0,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_291]),c_0_261])]) ).

cnf(c_0_305,plain,
    esk51_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_252]),c_0_256]),c_0_254])]) ).

cnf(c_0_306,negated_conjecture,
    ~ segmentP(esk50_0,nil),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_305]),c_0_305]),c_0_264]) ).

cnf(c_0_307,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    i_0_109 ).

cnf(c_0_308,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_261])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWC307+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12  % 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 07:54:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/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
% 4.51/2.29  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.51/2.29  # No SInE strategy applied
% 4.51/2.29  # Trying AutoSched0 for 150 seconds
% 4.51/2.29  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.51/2.29  # and selection function SelectComplexExceptUniqMaxHorn.
% 4.51/2.29  #
% 4.51/2.29  # Preprocessing time       : 0.024 s
% 4.51/2.29  # Presaturation interreduction done
% 4.51/2.29  
% 4.51/2.29  # Proof found!
% 4.51/2.29  # SZS status Theorem
% 4.51/2.29  # SZS output start CNFRefutation
% See solution above
% 4.51/2.29  # Training examples: 0 positive, 0 negative
% 4.51/2.29  
% 4.51/2.29  # -------------------------------------------------
% 4.51/2.29  # User time                : 0.072 s
% 4.51/2.29  # System time              : 0.007 s
% 4.51/2.29  # Total time               : 0.079 s
% 4.51/2.29  # Maximum resident set size: 7124 pages
% 4.51/2.29  
%------------------------------------------------------------------------------