TSTP Solution File: SWC329-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC329-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:42:36 EDT 2023

% Result   : Unsatisfiable 1791.02s 200.70s
% Output   : CNFRefutation 1791.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  193 (  39 unt;   0 def)
%            Number of atoms       :  552 ( 171 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  684 ( 325   ~; 357   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   3 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :  245 (  22 sgn;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause73) ).

cnf(clause149,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause149) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause8) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause85) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause74) ).

cnf(clause144,axiom,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause144) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause120) ).

cnf(co1_12,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_12) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_8) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_6) ).

cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause143) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause132) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause51) ).

cnf(clause138,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause138) ).

cnf(clause82,axiom,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause82) ).

cnf(clause174,axiom,
    ( frontsegP(X2,X4)
    | ~ frontsegP(cons(X1,X2),cons(X3,X4))
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause174) ).

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause109) ).

cnf(clause12,axiom,
    ssItem(skaf83(X1)),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause12) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause13) ).

cnf(clause161,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause161) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause71) ).

cnf(clause151,axiom,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause151) ).

cnf(clause145,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause145) ).

cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause119) ).

cnf(clause137,axiom,
    ( frontsegP(app(X1,X3),X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause137) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_5) ).

cnf(clause96,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause96) ).

cnf(clause140,axiom,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause140) ).

cnf(clause98,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause98) ).

cnf(clause101,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause101) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause47) ).

cnf(clause116,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause116) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause157) ).

cnf(co1_13,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_13) ).

cnf(clause172,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause172) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause86) ).

cnf(co1_15,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_15) ).

cnf(co1_9,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_9) ).

cnf(co1_7,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_7) ).

cnf(clause1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause1) ).

cnf(clause79,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause79) ).

cnf(clause179,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause179) ).

cnf(clause72,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause72) ).

cnf(clause64,axiom,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause64) ).

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause173) ).

cnf(clause169,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause169) ).

cnf(clause52,axiom,
    ssList(skaf43(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause52) ).

cnf(clause53,axiom,
    ssList(skaf42(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',clause53) ).

cnf(co1_10,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p',co1_10) ).

cnf(c_0_51,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_52,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_53,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_54,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_55,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_56,axiom,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    clause144 ).

cnf(c_0_57,plain,
    ( app(X1,app(X2,nil)) = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),c_0_54]) ).

cnf(c_0_58,plain,
    ( app(nil,app(X1,X2)) = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_55]),c_0_53])]) ).

cnf(c_0_59,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_60,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    co1_12 ).

cnf(c_0_61,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_8 ).

cnf(c_0_62,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_63,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_64,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause143 ).

cnf(c_0_65,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause132 ).

cnf(c_0_66,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_67,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_56]),c_0_54]) ).

cnf(c_0_68,plain,
    ( app(X1,nil) = app(nil,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_53])]) ).

cnf(c_0_69,negated_conjecture,
    ( app(sk3,X1) = cons(sk5,X1)
    | sk3 = nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    clause138 ).

cnf(c_0_72,axiom,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    clause82 ).

cnf(c_0_73,plain,
    ( rearsegP(X1,skaf45(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])])]) ).

cnf(c_0_74,axiom,
    ( frontsegP(X2,X4)
    | ~ frontsegP(cons(X1,X2),cons(X3,X4))
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ ssItem(X1) ),
    clause174 ).

cnf(c_0_75,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause109 ).

cnf(c_0_76,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_77,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_78,plain,
    ( frontsegP(app(nil,X1),X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_53])]) ).

cnf(c_0_79,negated_conjecture,
    ( app(nil,sk3) = cons(sk5,nil)
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_53]),c_0_70])]) ).

cnf(c_0_80,axiom,
    ( memberP(X2,X3)
    | X3 = X1
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    clause161 ).

cnf(c_0_81,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_82,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_71]) ).

cnf(c_0_83,plain,
    ( skaf45(nil,X1) = nil
    | ~ frontsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_66]),c_0_53])]) ).

cnf(c_0_84,plain,
    ( nil = X1
    | frontsegP(X2,skaf82(X1))
    | ~ frontsegP(cons(X3,X2),X1)
    | ~ ssItem(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77])]) ).

cnf(c_0_85,negated_conjecture,
    ( sk3 = nil
    | frontsegP(cons(sk5,nil),sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_70])]) ).

cnf(c_0_86,negated_conjecture,
    ( sk3 = nil
    | sk5 = X1
    | ~ memberP(sk3,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_53])]),c_0_61]),c_0_81]) ).

cnf(c_0_87,plain,
    ( nil = X1
    | memberP(X1,skaf83(X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75]),c_0_76]),c_0_77])]) ).

cnf(c_0_88,axiom,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause151 ).

cnf(c_0_89,axiom,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause145 ).

cnf(c_0_90,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause119 ).

cnf(c_0_91,plain,
    ( app(X1,nil) = nil
    | ~ frontsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_83]),c_0_53])]) ).

cnf(c_0_92,negated_conjecture,
    ( sk3 = nil
    | frontsegP(nil,skaf82(sk3)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_53]),c_0_70])]),c_0_61]) ).

cnf(c_0_93,axiom,
    ( frontsegP(app(X1,X3),X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause137 ).

cnf(c_0_94,negated_conjecture,
    ( skaf83(sk3) = sk5
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_76]),c_0_70])]) ).

cnf(c_0_95,plain,
    ( X1 = X2
    | app(X1,X3) != nil
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    ( app(skaf82(sk3),nil) = nil
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_77])]) ).

cnf(c_0_97,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_98,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_99,plain,
    ( frontsegP(X1,X2)
    | ~ frontsegP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_55]),c_0_53])]) ).

cnf(c_0_100,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause96 ).

cnf(c_0_101,negated_conjecture,
    ( cons(sk5,skaf82(sk3)) = sk3
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_94]),c_0_70])]) ).

cnf(c_0_102,negated_conjecture,
    ( skaf82(sk3) = X1
    | sk3 = nil
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_53]),c_0_77])]) ).

cnf(c_0_103,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_104,negated_conjecture,
    ( sk3 = nil
    | frontsegP(X1,skaf82(sk3))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_92]),c_0_77])]) ).

cnf(c_0_105,plain,
    ( skaf82(X1) = tl(X1)
    | nil = X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_75]),c_0_76]),c_0_77])]) ).

cnf(c_0_106,negated_conjecture,
    ( skaf82(sk3) = tl(sk3)
    | sk3 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_77])]),c_0_61]) ).

cnf(c_0_107,negated_conjecture,
    ( skaf82(sk3) = sk4
    | sk3 = nil
    | sk4 != nil ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_108,axiom,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    clause140 ).

cnf(c_0_109,negated_conjecture,
    ( sk3 = nil
    | frontsegP(X1,tl(sk3))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_70])]) ).

cnf(c_0_110,negated_conjecture,
    ( tl(sk3) = sk4
    | sk3 = nil
    | sk4 != nil ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_111,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause98 ).

cnf(c_0_112,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    clause101 ).

cnf(c_0_113,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_114,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause116 ).

cnf(c_0_115,plain,
    ( memberP(X1,X2)
    | ~ memberP(X3,X2)
    | ~ frontsegP(X1,X3)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_65]),c_0_66])]) ).

cnf(c_0_116,negated_conjecture,
    ( sk3 = nil
    | frontsegP(X1,sk4)
    | sk4 != nil
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_117,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_118,negated_conjecture,
    ( cons(skaf83(sk3),tl(sk3)) = sk3
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_106]),c_0_70])]) ).

cnf(c_0_119,negated_conjecture,
    ( tl(sk3) = nil
    | sk3 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_60]),c_0_53])]),c_0_61]) ).

cnf(c_0_120,plain,
    ( X1 != nil
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_53])]) ).

cnf(c_0_121,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_114]) ).

cnf(c_0_122,negated_conjecture,
    ( sk3 = nil
    | memberP(X1,X2)
    | sk4 != nil
    | ~ memberP(sk4,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_103])]) ).

cnf(c_0_123,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    co1_13 ).

cnf(c_0_124,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause172 ).

cnf(c_0_125,plain,
    ( app(cons(X1,X2),nil) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_51]),c_0_53])]) ).

cnf(c_0_126,negated_conjecture,
    ( cons(skaf83(sk3),nil) = sk3
    | sk3 = nil ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_127,plain,
    ( cons(X1,nil) != nil
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_128,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_129,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ equalelemsP(sk1) ),
    co1_15 ).

cnf(c_0_130,negated_conjecture,
    ( sk3 = nil
    | memberP(X1,sk5)
    | sk4 != nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_61]) ).

cnf(c_0_131,plain,
    ( segmentP(app(X1,X2),X3)
    | ~ segmentP(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_55]),c_0_53])]) ).

cnf(c_0_132,negated_conjecture,
    ( app(sk3,nil) = sk3
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_76]),c_0_53])]) ).

cnf(c_0_133,plain,
    ( cons(X1,nil) != nil
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_53])]) ).

cnf(c_0_134,plain,
    ( cons(skaf44(X1),X2) = app(X1,X2)
    | ~ singletonP(X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_112]),c_0_113])]) ).

cnf(c_0_135,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_9 ).

cnf(c_0_136,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_7 ).

cnf(c_0_137,negated_conjecture,
    ( ~ segmentP(sk4,sk3)
    | ~ equalelemsP(sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_63]),c_0_98]),c_0_63]) ).

cnf(c_0_138,negated_conjecture,
    ( sk3 = nil
    | sk4 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_130]),c_0_53])]),c_0_61]) ).

cnf(c_0_139,axiom,
    equalelemsP(nil),
    clause1 ).

cnf(c_0_140,plain,
    ( segmentP(X1,X2)
    | ~ segmentP(nil,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_55]),c_0_53])]) ).

cnf(c_0_141,axiom,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    clause79 ).

cnf(c_0_142,negated_conjecture,
    ( app(nil,sk3) = sk3
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_132]),c_0_70]),c_0_53])]) ).

cnf(c_0_143,plain,
    ( app(X1,nil) != nil
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_113]),c_0_53])]) ).

cnf(c_0_144,negated_conjecture,
    ( sk4 = nil
    | singletonP(sk3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_135]),c_0_70])]),c_0_136]) ).

cnf(c_0_145,negated_conjecture,
    ( sk4 != nil
    | ~ segmentP(sk4,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).

cnf(c_0_146,plain,
    ( segmentP(X1,X2)
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_147,negated_conjecture,
    ( app(cons(X1,nil),sk3) = cons(X1,sk3)
    | sk3 = nil
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_142]),c_0_70]),c_0_53])]) ).

cnf(c_0_148,negated_conjecture,
    ( sk4 = nil
    | app(sk3,nil) != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_70])]) ).

cnf(c_0_149,negated_conjecture,
    ( app(sk3,X1) = cons(sk5,X1)
    | sk4 = nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_135]),c_0_136]) ).

cnf(c_0_150,negated_conjecture,
    sk4 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_103]),c_0_53])]) ).

cnf(c_0_151,negated_conjecture,
    ( app(sk3,sk3) = cons(sk5,sk3)
    | sk3 = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_60]),c_0_61]) ).

cnf(c_0_152,negated_conjecture,
    ( sk4 = nil
    | cons(sk5,nil) != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_53])]) ).

cnf(c_0_153,negated_conjecture,
    cons(sk5,nil) = sk3,
    inference(sr,[status(thm)],[c_0_135,c_0_150]) ).

cnf(c_0_154,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    clause179 ).

cnf(c_0_155,negated_conjecture,
    ( app(nil,cons(sk5,sk3)) = cons(sk5,sk3)
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_151]),c_0_70])]) ).

cnf(c_0_156,negated_conjecture,
    sk3 != nil,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153]),c_0_150]) ).

cnf(c_0_157,negated_conjecture,
    ( sk3 = nil
    | app(app(X1,cons(sk5,X2)),sk3) != X3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ duplicatefreeP(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_60]),c_0_53])]),c_0_61]) ).

cnf(c_0_158,negated_conjecture,
    app(nil,cons(sk5,sk3)) = cons(sk5,sk3),
    inference(sr,[status(thm)],[c_0_155,c_0_156]) ).

fof(c_0_159,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( duplicatefreeP(X1)
        | ~ ssList(X1) ) ),
    introduced(definition) ).

cnf(c_0_160,plain,
    ( ssList(app(X1,app(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_54]) ).

cnf(c_0_161,negated_conjecture,
    ( app(sk3,nil) = sk3
    | sk4 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_135]),c_0_53])]),c_0_136]) ).

cnf(c_0_162,negated_conjecture,
    ( app(cons(sk5,sk3),sk3) != X1
    | ~ ssList(X1)
    | ~ duplicatefreeP(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_70]),c_0_53])]),c_0_156]) ).

cnf(c_0_163,plain,
    ( epred2_0
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_equiv,[status(thm)],[c_0_159]) ).

cnf(c_0_164,negated_conjecture,
    ( sk4 = nil
    | ssList(app(X1,sk3))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_53]),c_0_70])]) ).

cnf(c_0_165,negated_conjecture,
    ( epred2_0
    | app(cons(sk5,sk3),sk3) != X1
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_166,negated_conjecture,
    ( sk4 = nil
    | ssList(cons(sk5,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_149]),c_0_70])]) ).

fof(c_0_167,plain,
    ( ~ epred1_0
  <=> ! [X2] : ssItem(X2) ),
    introduced(definition) ).

cnf(c_0_168,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_169,negated_conjecture,
    ( epred2_0
    | ~ ssList(app(cons(sk5,sk3),sk3)) ),
    inference(er,[status(thm)],[c_0_165]) ).

cnf(c_0_170,negated_conjecture,
    ssList(cons(sk5,sk3)),
    inference(sr,[status(thm)],[c_0_166,c_0_150]) ).

cnf(c_0_171,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_168,c_0_167]),c_0_159]) ).

cnf(c_0_172,negated_conjecture,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_54]),c_0_170]),c_0_70])]) ).

cnf(c_0_173,axiom,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    clause64 ).

cnf(c_0_174,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_175,negated_conjecture,
    ssItem(sk5),
    inference(sr,[status(thm)],[c_0_136,c_0_150]) ).

cnf(c_0_176,plain,
    ( epred1_0
    | ssItem(X1) ),
    inference(split_equiv,[status(thm)],[c_0_167]) ).

cnf(c_0_177,plain,
    ~ epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).

cnf(c_0_178,negated_conjecture,
    ( sk4 = nil
    | equalelemsP(sk3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_135]),c_0_136]) ).

cnf(c_0_179,plain,
    ( segmentP(X1,X2)
    | app(X3,app(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_174,c_0_52]) ).

cnf(c_0_180,negated_conjecture,
    ( app(sk3,X1) = cons(sk5,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_153]),c_0_175])]) ).

cnf(c_0_181,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    clause169 ).

cnf(c_0_182,plain,
    ssItem(X1),
    inference(sr,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_183,negated_conjecture,
    equalelemsP(sk3),
    inference(sr,[status(thm)],[c_0_178,c_0_150]) ).

cnf(c_0_184,negated_conjecture,
    ( segmentP(X1,sk3)
    | app(X2,cons(sk5,X3)) != X1
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_70])]) ).

cnf(c_0_185,plain,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).

cnf(c_0_186,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_187,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_188,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    co1_10 ).

cnf(c_0_189,negated_conjecture,
    ~ segmentP(sk4,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_183])]) ).

cnf(c_0_190,negated_conjecture,
    ( segmentP(X1,sk3)
    | ~ memberP(X1,sk5)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187])])]) ).

cnf(c_0_191,negated_conjecture,
    memberP(sk4,sk5),
    inference(sr,[status(thm)],[c_0_188,c_0_150]) ).

cnf(c_0_192,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_103])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWC329-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Oct  3 02:11:37 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.xrApAnAS7d/E---3.1_15445.p
% 1791.02/200.70  # Version: 3.1pre001
% 1791.02/200.70  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1791.02/200.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1791.02/200.70  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1791.02/200.70  # Starting new_bool_3 with 300s (1) cores
% 1791.02/200.70  # Starting new_bool_1 with 300s (1) cores
% 1791.02/200.70  # Starting sh5l with 300s (1) cores
% 1791.02/200.70  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15522 completed with status 0
% 1791.02/200.70  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1791.02/200.70  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1791.02/200.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1791.02/200.70  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1791.02/200.70  # No SInE strategy applied
% 1791.02/200.70  # Search class: FGHSM-FSLM21-MFFFFFNN
% 1791.02/200.70  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 1791.02/200.70  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 1791.02/200.70  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1791.02/200.70  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1791.02/200.70  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1791.02/200.70  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 1791.02/200.70  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 15532 completed with status 7
% 1791.02/200.70  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 1791.02/200.70  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 15531 completed with status 7
% 1791.02/200.70  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1791.02/200.70  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 15530 completed with status 7
% 1791.02/200.70  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 1791.02/200.70  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15529 completed with status 7
% 1791.02/200.70  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 127s (1) cores
% 1791.02/200.70  # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 15598 completed with status 0
% 1791.02/200.70  # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 1791.02/200.70  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1791.02/200.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1791.02/200.70  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1791.02/200.70  # No SInE strategy applied
% 1791.02/200.70  # Search class: FGHSM-FSLM21-MFFFFFNN
% 1791.02/200.70  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 1791.02/200.70  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 1791.02/200.70  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1791.02/200.70  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1791.02/200.70  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1791.02/200.70  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 1791.02/200.70  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 15532 completed with status 7
% 1791.02/200.70  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 1791.02/200.70  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 15531 completed with status 7
% 1791.02/200.70  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1791.02/200.70  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 15530 completed with status 7
% 1791.02/200.70  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 1791.02/200.70  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15529 completed with status 7
% 1791.02/200.70  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 127s (1) cores
% 1791.02/200.70  # Preprocessing time       : 0.002 s
% 1791.02/200.70  # Presaturation interreduction done
% 1791.02/200.70  
% 1791.02/200.70  # Proof found!
% 1791.02/200.70  # SZS status Unsatisfiable
% 1791.02/200.70  # SZS output start CNFRefutation
% See solution above
% 1791.02/200.70  # Parsed axioms                        : 200
% 1791.02/200.70  # Removed by relevancy pruning/SinE    : 0
% 1791.02/200.70  # Initial clauses                      : 200
% 1791.02/200.70  # Removed in clause preprocessing      : 0
% 1791.02/200.70  # Initial clauses in saturation        : 200
% 1791.02/200.70  # Processed clauses                    : 52967
% 1791.02/200.70  # ...of these trivial                  : 1097
% 1791.02/200.70  # ...subsumed                          : 43075
% 1791.02/200.70  # ...remaining for further processing  : 8795
% 1791.02/200.70  # Other redundant clauses eliminated   : 19798
% 1791.02/200.70  # Clauses deleted for lack of memory   : 45114
% 1791.02/200.70  # Backward-subsumed                    : 946
% 1791.02/200.70  # Backward-rewritten                   : 784
% 1791.02/200.70  # Generated clauses                    : 1839206
% 1791.02/200.70  # ...of the previous two non-redundant : 1748437
% 1791.02/200.70  # ...aggressively subsumed             : 0
% 1791.02/200.70  # Contextual simplify-reflections      : 2504
% 1791.02/200.70  # Paramodulations                      : 1818211
% 1791.02/200.70  # Factorizations                       : 3
% 1791.02/200.70  # NegExts                              : 0
% 1791.02/200.70  # Equation resolutions                 : 20651
% 1791.02/200.70  # Total rewrite steps                  : 1264794
% 1791.02/200.70  # Propositional unsat checks           : 0
% 1791.02/200.70  #    Propositional check models        : 0
% 1791.02/200.70  #    Propositional check unsatisfiable : 0
% 1791.02/200.70  #    Propositional clauses             : 0
% 1791.02/200.70  #    Propositional clauses after purity: 0
% 1791.02/200.70  #    Propositional unsat core size     : 0
% 1791.02/200.70  #    Propositional preprocessing time  : 0.000
% 1791.02/200.70  #    Propositional encoding time       : 0.000
% 1791.02/200.70  #    Propositional solver time         : 0.000
% 1791.02/200.70  #    Success case prop preproc time    : 0.000
% 1791.02/200.70  #    Success case prop encoding time   : 0.000
% 1791.02/200.70  #    Success case prop solver time     : 0.000
% 1791.02/200.70  # Current number of processed clauses  : 6627
% 1791.02/200.70  #    Positive orientable unit clauses  : 349
% 1791.02/200.70  #    Positive unorientable unit clauses: 0
% 1791.02/200.70  #    Negative unit clauses             : 366
% 1791.02/200.70  #    Non-unit-clauses                  : 5912
% 1791.02/200.70  # Current number of unprocessed clauses: 864130
% 1791.02/200.70  # ...number of literals in the above   : 7052885
% 1791.02/200.70  # Current number of archived formulas  : 0
% 1791.02/200.70  # Current number of archived clauses   : 2068
% 1791.02/200.70  # Clause-clause subsumption calls (NU) : 13022777
% 1791.02/200.70  # Rec. Clause-clause subsumption calls : 853706
% 1791.02/200.70  # Non-unit clause-clause subsumptions  : 25175
% 1791.02/200.70  # Unit Clause-clause subsumption calls : 370838
% 1791.02/200.70  # Rewrite failures with RHS unbound    : 0
% 1791.02/200.70  # BW rewrite match attempts            : 632
% 1791.02/200.70  # BW rewrite match successes           : 166
% 1791.02/200.70  # Condensation attempts                : 0
% 1791.02/200.70  # Condensation successes               : 0
% 1791.02/200.70  # Termbank termtop insertions          : 64145712
% 1791.02/200.70  
% 1791.02/200.70  # -------------------------------------------------
% 1791.02/200.70  # User time                : 598.738 s
% 1791.02/200.70  # System time              : 8.418 s
% 1791.02/200.70  # Total time               : 607.156 s
% 1791.02/200.70  # Maximum resident set size: 2152 pages
% 1791.02/200.70  
% 1791.02/200.70  # -------------------------------------------------
% 1791.02/200.70  # User time                : 980.459 s
% 1791.02/200.70  # System time              : 14.403 s
% 1791.02/200.70  # Total time               : 994.861 s
% 1791.02/200.70  # Maximum resident set size: 1848 pages
% 1791.02/200.70  % E---3.1 exiting
%------------------------------------------------------------------------------