TSTP Solution File: SWC383-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC383-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 19:40:44 EDT 2023

% Result   : Unsatisfiable 2011.28s 253.60s
% Output   : CNFRefutation 2011.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  110 (  31 unt;  21 nHn; 100 RR)
%            Number of literals    :  287 (  80 equ; 166 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :  139 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause97,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause97) ).

cnf(clause101,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause101) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause47) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause8) ).

cnf(clause116,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause116) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_6) ).

cnf(clause104,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause104) ).

cnf(clause96,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause96) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause86) ).

cnf(clause98,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause98) ).

cnf(co1_10,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_10) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_8) ).

cnf(clause175,axiom,
    ( memberP(X4,X2)
    | app(X1,cons(X2,X3)) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause175) ).

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.x0d5nVbAIG/E---3.1_10016.p',clause157) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause85) ).

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.x0d5nVbAIG/E---3.1_10016.p',clause173) ).

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.x0d5nVbAIG/E---3.1_10016.p',clause149) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause120) ).

cnf(co1_13,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_13) ).

cnf(co1_9,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_9) ).

cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause143) ).

cnf(clause168,axiom,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause168) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause73) ).

cnf(clause49,axiom,
    ssList(skaf47(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause49) ).

cnf(clause56,axiom,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause56) ).

cnf(clause48,axiom,
    ssList(skaf48(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause48) ).

cnf(co1_16,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_16) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_5) ).

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.x0d5nVbAIG/E---3.1_10016.p',clause169) ).

cnf(clause52,axiom,
    ssList(skaf43(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause52) ).

cnf(clause53,axiom,
    ssList(skaf42(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause53) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_2) ).

cnf(clause82,axiom,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause82) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause71) ).

cnf(co1_14,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_14) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',co1_7) ).

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p',clause115) ).

cnf(c_0_38,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause97 ).

cnf(c_0_39,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    clause101 ).

cnf(c_0_40,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_41,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_42,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause116 ).

cnf(c_0_43,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_44,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_45,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause104 ).

cnf(c_0_46,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause96 ).

cnf(c_0_47,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_48,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause98 ).

cnf(c_0_49,plain,
    ( skaf44(X1) = hd(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]) ).

cnf(c_0_50,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    co1_10 ).

cnf(c_0_52,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    co1_8 ).

cnf(c_0_54,axiom,
    ( memberP(X4,X2)
    | app(X1,cons(X2,X3)) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ ssList(X4) ),
    clause175 ).

cnf(c_0_55,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_56,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_57,plain,
    ( cons(hd(cons(X1,X2)),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_58,plain,
    ( ssItem(hd(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_49]) ).

cnf(c_0_59,negated_conjecture,
    ( sk4 = nil
    | singletonP(sk3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]) ).

cnf(c_0_60,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    clause173 ).

cnf(c_0_61,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_62,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_63,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    co1_13 ).

cnf(c_0_64,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    co1_9 ).

cnf(c_0_65,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause143 ).

cnf(c_0_66,axiom,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause168 ).

cnf(c_0_67,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_68,axiom,
    ssList(skaf47(X1,X2)),
    clause49 ).

cnf(c_0_69,axiom,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    clause56 ).

cnf(c_0_70,plain,
    ( memberP(X1,X2)
    | app(X3,app(cons(X2,X4),X5)) != X1
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | ~ ssList(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_71,negated_conjecture,
    ( cons(hd(sk3),nil) = sk3
    | sk4 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_51]),c_0_41])]),c_0_53]) ).

cnf(c_0_72,negated_conjecture,
    ( sk4 = nil
    | ssItem(hd(sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_52])]) ).

cnf(c_0_73,axiom,
    ssList(skaf48(X1,X2)),
    clause48 ).

cnf(c_0_74,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    co1_16 ).

cnf(c_0_75,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_76,plain,
    ( segmentP(X1,X2)
    | app(X3,app(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_77,negated_conjecture,
    ( app(sk3,X1) = cons(sk5,X1)
    | sk3 = nil
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_78,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_65]),c_0_56]) ).

cnf(c_0_79,plain,
    ( app(skaf47(X1,nil),skaf48(nil,X1)) = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_41]),c_0_68])]),c_0_69]) ).

cnf(c_0_80,negated_conjecture,
    ( sk4 = nil
    | memberP(X1,hd(sk3))
    | app(X2,app(sk3,X3)) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_41])]),c_0_72]) ).

cnf(c_0_81,plain,
    ( app(skaf47(X1,X2),app(X2,skaf48(X2,X1))) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_66]),c_0_68]),c_0_73])]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ segmentP(sk4,sk3)
    | ~ singletonP(sk3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_44]),c_0_75]),c_0_44]) ).

cnf(c_0_83,negated_conjecture,
    ( sk3 = nil
    | singletonP(X1)
    | sk3 != X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_63]),c_0_64]) ).

cnf(c_0_84,negated_conjecture,
    ( sk3 = nil
    | 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_76,c_0_77]),c_0_52])]) ).

cnf(c_0_85,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    clause169 ).

cnf(c_0_86,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_87,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_88,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_89,plain,
    ( segmentP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_41])]),c_0_56]) ).

cnf(c_0_90,axiom,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    clause82 ).

cnf(c_0_91,plain,
    ( rearsegP(X1,skaf48(nil,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_73]),c_0_68])]) ).

cnf(c_0_92,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_93,negated_conjecture,
    ( sk4 = nil
    | memberP(X1,hd(sk3))
    | ~ segmentP(X1,sk3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_68]),c_0_73]),c_0_52])])]) ).

cnf(c_0_94,negated_conjecture,
    ( sk3 = nil
    | ~ segmentP(sk4,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_52])]) ).

cnf(c_0_95,negated_conjecture,
    ( sk3 = nil
    | segmentP(X1,sk3)
    | ~ memberP(X1,sk5)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[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_86]),c_0_87])])]),c_0_64]) ).

cnf(c_0_96,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_88,c_0_75]) ).

cnf(c_0_97,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    co1_14 ).

cnf(c_0_98,plain,
    ( segmentP(X1,skaf48(nil,X1))
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_73]),c_0_68])])]) ).

cnf(c_0_99,plain,
    skaf48(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_73]),c_0_41])]) ).

cnf(c_0_100,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_101,negated_conjecture,
    ( sk4 = nil
    | ~ segmentP(nil,sk3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_41])]),c_0_72]) ).

cnf(c_0_102,negated_conjecture,
    sk3 = nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]),c_0_97]) ).

cnf(c_0_103,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_41])]) ).

cnf(c_0_104,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause115 ).

cnf(c_0_105,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_100,c_0_75]) ).

cnf(c_0_106,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).

cnf(c_0_107,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SWC383-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 01:59:33 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.x0d5nVbAIG/E---3.1_10016.p
% 2011.28/253.60  # Version: 3.1pre001
% 2011.28/253.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2011.28/253.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2011.28/253.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2011.28/253.60  # Starting new_bool_3 with 300s (1) cores
% 2011.28/253.60  # Starting new_bool_1 with 300s (1) cores
% 2011.28/253.60  # Starting sh5l with 300s (1) cores
% 2011.28/253.60  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10094 completed with status 0
% 2011.28/253.60  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2011.28/253.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2011.28/253.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2011.28/253.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2011.28/253.60  # No SInE strategy applied
% 2011.28/253.60  # Search class: FGHSM-FSLM21-MFFFFFNN
% 2011.28/253.60  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 2011.28/253.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 2011.28/253.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2011.28/253.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 2011.28/253.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2011.28/253.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 2011.28/253.60  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 10102 completed with status 7
% 2011.28/253.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 2011.28/253.60  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 10104 completed with status 7
% 2011.28/253.60  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 2011.28/253.60  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 10103 completed with status 7
% 2011.28/253.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 2011.28/253.60  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10101 completed with status 7
% 2011.28/253.60  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 127s (1) cores
% 2011.28/253.60  # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 10192 completed with status 0
% 2011.28/253.60  # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 2011.28/253.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2011.28/253.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2011.28/253.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2011.28/253.60  # No SInE strategy applied
% 2011.28/253.60  # Search class: FGHSM-FSLM21-MFFFFFNN
% 2011.28/253.60  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 2011.28/253.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 2011.28/253.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2011.28/253.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 2011.28/253.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2011.28/253.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 2011.28/253.60  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 10102 completed with status 7
% 2011.28/253.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 2011.28/253.60  # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 10104 completed with status 7
% 2011.28/253.60  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 2011.28/253.60  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 10103 completed with status 7
% 2011.28/253.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 2011.28/253.60  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10101 completed with status 7
% 2011.28/253.60  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 127s (1) cores
% 2011.28/253.60  # Preprocessing time       : 0.003 s
% 2011.28/253.60  # Presaturation interreduction done
% 2011.28/253.60  
% 2011.28/253.60  # Proof found!
% 2011.28/253.60  # SZS status Unsatisfiable
% 2011.28/253.60  # SZS output start CNFRefutation
% See solution above
% 2011.28/253.60  # Parsed axioms                        : 201
% 2011.28/253.60  # Removed by relevancy pruning/SinE    : 0
% 2011.28/253.60  # Initial clauses                      : 201
% 2011.28/253.60  # Removed in clause preprocessing      : 0
% 2011.28/253.60  # Initial clauses in saturation        : 201
% 2011.28/253.60  # Processed clauses                    : 85647
% 2011.28/253.60  # ...of these trivial                  : 1188
% 2011.28/253.60  # ...subsumed                          : 73640
% 2011.28/253.60  # ...remaining for further processing  : 10819
% 2011.28/253.60  # Other redundant clauses eliminated   : 21410
% 2011.28/253.60  # Clauses deleted for lack of memory   : 26663
% 2011.28/253.60  # Backward-subsumed                    : 492
% 2011.28/253.60  # Backward-rewritten                   : 4443
% 2011.28/253.60  # Generated clauses                    : 3791542
% 2011.28/253.60  # ...of the previous two non-redundant : 3693468
% 2011.28/253.60  # ...aggressively subsumed             : 0
% 2011.28/253.60  # Contextual simplify-reflections      : 5458
% 2011.28/253.60  # Paramodulations                      : 3769017
% 2011.28/253.60  # Factorizations                       : 0
% 2011.28/253.60  # NegExts                              : 0
% 2011.28/253.60  # Equation resolutions                 : 22274
% 2011.28/253.60  # Total rewrite steps                  : 2228212
% 2011.28/253.60  # Propositional unsat checks           : 0
% 2011.28/253.60  #    Propositional check models        : 0
% 2011.28/253.60  #    Propositional check unsatisfiable : 0
% 2011.28/253.60  #    Propositional clauses             : 0
% 2011.28/253.60  #    Propositional clauses after purity: 0
% 2011.28/253.60  #    Propositional unsat core size     : 0
% 2011.28/253.60  #    Propositional preprocessing time  : 0.000
% 2011.28/253.60  #    Propositional encoding time       : 0.000
% 2011.28/253.60  #    Propositional solver time         : 0.000
% 2011.28/253.60  #    Success case prop preproc time    : 0.000
% 2011.28/253.60  #    Success case prop encoding time   : 0.000
% 2011.28/253.60  #    Success case prop solver time     : 0.000
% 2011.28/253.60  # Current number of processed clauses  : 5558
% 2011.28/253.60  #    Positive orientable unit clauses  : 69
% 2011.28/253.60  #    Positive unorientable unit clauses: 0
% 2011.28/253.60  #    Negative unit clauses             : 123
% 2011.28/253.60  #    Non-unit-clauses                  : 5366
% 2011.28/253.60  # Current number of unprocessed clauses: 928244
% 2011.28/253.60  # ...number of literals in the above   : 6333372
% 2011.28/253.60  # Current number of archived formulas  : 0
% 2011.28/253.60  # Current number of archived clauses   : 5132
% 2011.28/253.60  # Clause-clause subsumption calls (NU) : 12684322
% 2011.28/253.60  # Rec. Clause-clause subsumption calls : 2659556
% 2011.28/253.60  # Non-unit clause-clause subsumptions  : 77910
% 2011.28/253.60  # Unit Clause-clause subsumption calls : 606849
% 2011.28/253.60  # Rewrite failures with RHS unbound    : 0
% 2011.28/253.60  # BW rewrite match attempts            : 9
% 2011.28/253.60  # BW rewrite match successes           : 9
% 2011.28/253.60  # Condensation attempts                : 0
% 2011.28/253.60  # Condensation successes               : 0
% 2011.28/253.60  # Termbank termtop insertions          : 110674986
% 2011.28/253.60  
% 2011.28/253.60  # -------------------------------------------------
% 2011.28/253.60  # User time                : 647.690 s
% 2011.28/253.60  # System time              : 9.996 s
% 2011.28/253.60  # Total time               : 657.685 s
% 2011.28/253.60  # Maximum resident set size: 2132 pages
% 2011.28/253.60  
% 2011.28/253.60  # -------------------------------------------------
% 2011.28/253.60  # User time                : 1236.892 s
% 2011.28/253.60  # System time              : 18.234 s
% 2011.28/253.60  # Total time               : 1255.126 s
% 2011.28/253.60  # Maximum resident set size: 1852 pages
% 2011.28/253.60  % E---3.1 exiting
% 2011.28/253.60  % E---3.1 exiting
%------------------------------------------------------------------------------