TSTP Solution File: SWC418-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC418-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:43:05 EDT 2023

% Result   : Unsatisfiable 0.91s 0.60s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   90 (  23 unt;  15 nHn;  72 RR)
%            Number of literals    :  281 (  86 equ; 188 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  131 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause179) ).

cnf(clause72,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause72) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause74) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause8) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause86) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause120) ).

cnf(co1_10,negated_conjecture,
    ( sk3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | tl(sk4) != X2
    | app(X2,X3) != X1
    | ~ ssItem(X4)
    | cons(X4,nil) != X3
    | hd(sk4) != X4
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',co1_10) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',co1_7) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',co1_5) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause85) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',co1_2) ).

cnf(clause53,axiom,
    ssList(skaf42(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause53) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause100) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause47) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause76) ).

cnf(clause97,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause97) ).

cnf(clause116,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause116) ).

cnf(co1_8,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(app(X3,cons(X1,nil)),X2) != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',co1_6) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause75) ).

cnf(clause101,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause101) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause73) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause157) ).

cnf(clause104,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause104) ).

cnf(clause117,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p',clause117) ).

cnf(c_0_25,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_26,plain,
    ( ~ ssItem(X1)
    | ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4))) ),
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_27,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_28,plain,
    ( ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(app(app(X3,cons(X2,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_30,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_31,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_32,plain,
    ( ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(app(cons(X2,X3),cons(X2,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_33,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_34,negated_conjecture,
    ( sk3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | tl(sk4) != X2
    | app(X2,X3) != X1
    | ~ ssItem(X4)
    | cons(X4,nil) != X3
    | hd(sk4) != X4
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    co1_10 ).

cnf(c_0_35,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_36,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_37,plain,
    ( ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(cons(X2,cons(X2,X3)))
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_30])]),c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( sk3 = X1
    | tl(sk4) != X2
    | hd(sk4) != X4
    | app(X2,X3) != X1
    | cons(X4,nil) != X3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(cn,[status(thm)],[c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_41,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_42,plain,
    ( ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_31]) ).

cnf(c_0_43,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_44,negated_conjecture,
    ( app(tl(sk4),cons(hd(sk4),nil)) = sk3
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])])])])])]),c_0_40]) ).

cnf(c_0_45,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_46,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_41,c_0_36]) ).

cnf(c_0_47,plain,
    ( ssItem(X1)
    | ~ ssItem(X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_49,negated_conjecture,
    ( app(tl(sk4),cons(hd(sk4),nil)) = sk3
    | sk4 = nil
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]),c_0_46])]) ).

cnf(c_0_50,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause76 ).

cnf(c_0_51,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause97 ).

cnf(c_0_52,plain,
    ssItem(X1),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,axiom,
    ( singletonP(X2)
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause116 ).

cnf(c_0_54,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk2
    | app(app(X3,cons(X1,nil)),X2) != sk1 ),
    co1_8 ).

cnf(c_0_55,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_56,negated_conjecture,
    ( app(tl(sk4),cons(hd(sk4),nil)) = sk3
    | sk4 = nil
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_46])]) ).

cnf(c_0_57,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause75 ).

cnf(c_0_58,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_59,axiom,
    ( cons(skaf44(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    clause101 ).

cnf(c_0_60,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != sk3
    | app(app(X3,cons(X2,nil)),X1) != sk4
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_36]) ).

cnf(c_0_62,negated_conjecture,
    ( app(tl(sk4),cons(hd(sk4),nil)) = sk3
    | sk4 = nil
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_46])]) ).

cnf(c_0_63,plain,
    ( skaf44(X1) = hd(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_30])]) ).

cnf(c_0_64,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_31]),c_0_30])]) ).

cnf(c_0_65,negated_conjecture,
    ( app(app(X1,X2),X3) != sk3
    | app(app(X3,X2),X1) != sk4
    | ~ singletonP(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_59]),c_0_48])]) ).

cnf(c_0_66,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_67,negated_conjecture,
    ( app(tl(sk4),cons(hd(sk4),nil)) = sk3
    | sk4 = nil
    | ~ ssItem(hd(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_31]),c_0_30])]) ).

cnf(c_0_68,plain,
    ( cons(hd(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_63]) ).

cnf(c_0_69,plain,
    singletonP(cons(X1,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_52])]) ).

cnf(c_0_70,negated_conjecture,
    ( app(app(nil,X1),X2) != sk4
    | app(X2,X1) != sk3
    | ~ singletonP(X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_30])]),c_0_40]) ).

cnf(c_0_71,negated_conjecture,
    ( app(tl(sk4),cons(hd(sk4),nil)) = sk3
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_46])]) ).

cnf(c_0_72,plain,
    ( cons(hd(cons(X1,nil)),nil) = cons(X1,nil)
    | ~ ssList(cons(X1,nil)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_73,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_52])]) ).

cnf(c_0_74,negated_conjecture,
    ( sk4 = nil
    | app(app(nil,cons(hd(sk4),nil)),tl(sk4)) != sk4
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_69])]) ).

cnf(c_0_75,plain,
    cons(hd(cons(X1,nil)),nil) = cons(X1,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_30])]) ).

cnf(c_0_76,negated_conjecture,
    ( sk4 = nil
    | app(cons(hd(sk4),nil),tl(sk4)) != sk4
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_29]) ).

cnf(c_0_77,plain,
    ssList(cons(X1,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_75]),c_0_30])]) ).

cnf(c_0_78,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_79,negated_conjecture,
    ( sk4 = nil
    | app(cons(hd(sk4),nil),tl(sk4)) != sk4
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).

cnf(c_0_80,plain,
    ( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_52])]) ).

cnf(c_0_81,negated_conjecture,
    ( sk4 = nil
    | cons(hd(sk4),app(nil,tl(sk4))) != sk4
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_30])]) ).

cnf(c_0_82,negated_conjecture,
    ( sk4 = nil
    | cons(hd(sk4),tl(sk4)) != sk4
    | ~ ssList(tl(sk4)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_29]) ).

cnf(c_0_83,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause104 ).

cnf(c_0_84,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    clause117 ).

cnf(c_0_85,negated_conjecture,
    ( sk4 = nil
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_46])]) ).

cnf(c_0_86,plain,
    ( ~ neq(X1,X1)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    sk4 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_57]),c_0_46])]) ).

cnf(c_0_88,plain,
    ~ neq(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_52])]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_87]),c_0_88]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC418-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 01:38:31 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.REfKsuuLA8/E---3.1_25558.p
% 0.91/0.60  # Version: 3.1pre001
% 0.91/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.91/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.91/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.91/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.91/0.60  # Starting sh5l with 300s (1) cores
% 0.91/0.60  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 25635 completed with status 0
% 0.91/0.60  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.91/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.91/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.91/0.60  # No SInE strategy applied
% 0.91/0.60  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.91/0.60  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.91/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.91/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.91/0.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.91/0.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.91/0.60  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.91/0.60  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 25641 completed with status 0
% 0.91/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.91/0.60  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.91/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.91/0.60  # No SInE strategy applied
% 0.91/0.60  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.91/0.60  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.91/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.91/0.60  # Preprocessing time       : 0.003 s
% 0.91/0.60  # Presaturation interreduction done
% 0.91/0.60  
% 0.91/0.60  # Proof found!
% 0.91/0.60  # SZS status Unsatisfiable
% 0.91/0.60  # SZS output start CNFRefutation
% See solution above
% 0.91/0.60  # Parsed axioms                        : 195
% 0.91/0.60  # Removed by relevancy pruning/SinE    : 0
% 0.91/0.60  # Initial clauses                      : 195
% 0.91/0.60  # Removed in clause preprocessing      : 0
% 0.91/0.60  # Initial clauses in saturation        : 195
% 0.91/0.60  # Processed clauses                    : 993
% 0.91/0.60  # ...of these trivial                  : 7
% 0.91/0.60  # ...subsumed                          : 228
% 0.91/0.60  # ...remaining for further processing  : 758
% 0.91/0.60  # Other redundant clauses eliminated   : 156
% 0.91/0.60  # Clauses deleted for lack of memory   : 0
% 0.91/0.60  # Backward-subsumed                    : 110
% 0.91/0.60  # Backward-rewritten                   : 216
% 0.91/0.60  # Generated clauses                    : 2176
% 0.91/0.60  # ...of the previous two non-redundant : 1974
% 0.91/0.60  # ...aggressively subsumed             : 0
% 0.91/0.60  # Contextual simplify-reflections      : 21
% 0.91/0.60  # Paramodulations                      : 2016
% 0.91/0.60  # Factorizations                       : 0
% 0.91/0.60  # NegExts                              : 0
% 0.91/0.60  # Equation resolutions                 : 164
% 0.91/0.60  # Total rewrite steps                  : 1864
% 0.91/0.60  # Propositional unsat checks           : 0
% 0.91/0.60  #    Propositional check models        : 0
% 0.91/0.60  #    Propositional check unsatisfiable : 0
% 0.91/0.60  #    Propositional clauses             : 0
% 0.91/0.60  #    Propositional clauses after purity: 0
% 0.91/0.60  #    Propositional unsat core size     : 0
% 0.91/0.60  #    Propositional preprocessing time  : 0.000
% 0.91/0.60  #    Propositional encoding time       : 0.000
% 0.91/0.60  #    Propositional solver time         : 0.000
% 0.91/0.60  #    Success case prop preproc time    : 0.000
% 0.91/0.60  #    Success case prop encoding time   : 0.000
% 0.91/0.60  #    Success case prop solver time     : 0.000
% 0.91/0.60  # Current number of processed clauses  : 221
% 0.91/0.60  #    Positive orientable unit clauses  : 67
% 0.91/0.60  #    Positive unorientable unit clauses: 0
% 0.91/0.60  #    Negative unit clauses             : 6
% 0.91/0.60  #    Non-unit-clauses                  : 148
% 0.91/0.60  # Current number of unprocessed clauses: 1171
% 0.91/0.60  # ...number of literals in the above   : 6552
% 0.91/0.60  # Current number of archived formulas  : 0
% 0.91/0.60  # Current number of archived clauses   : 513
% 0.91/0.60  # Clause-clause subsumption calls (NU) : 35835
% 0.91/0.60  # Rec. Clause-clause subsumption calls : 6518
% 0.91/0.60  # Non-unit clause-clause subsumptions  : 316
% 0.91/0.60  # Unit Clause-clause subsumption calls : 440
% 0.91/0.60  # Rewrite failures with RHS unbound    : 0
% 0.91/0.60  # BW rewrite match attempts            : 44
% 0.91/0.60  # BW rewrite match successes           : 36
% 0.91/0.60  # Condensation attempts                : 0
% 0.91/0.60  # Condensation successes               : 0
% 0.91/0.60  # Termbank termtop insertions          : 46352
% 0.91/0.60  
% 0.91/0.60  # -------------------------------------------------
% 0.91/0.60  # User time                : 0.095 s
% 0.91/0.60  # System time              : 0.010 s
% 0.91/0.60  # Total time               : 0.105 s
% 0.91/0.60  # Maximum resident set size: 2120 pages
% 0.91/0.60  
% 0.91/0.60  # -------------------------------------------------
% 0.91/0.60  # User time                : 0.446 s
% 0.91/0.60  # System time              : 0.029 s
% 0.91/0.60  # Total time               : 0.474 s
% 0.91/0.60  # Maximum resident set size: 1852 pages
% 0.91/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------