TSTP Solution File: SWC126-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC126-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 19:39:28 EDT 2023

% Result   : Unsatisfiable 138.99s 18.07s
% Output   : CNFRefutation 138.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   48
% Syntax   : Number of clauses     :  182 (  56 unt;  26 nHn; 170 RR)
%            Number of literals    :  459 ( 129 equ; 271 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  227 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_7) ).

cnf(co1_14,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_14) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_6) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_5) ).

cnf(co1_13,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_13) ).

cnf(clause144,axiom,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause144) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause85) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause120) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_1) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause8) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause132) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause51) ).

cnf(clause96,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause96) ).

cnf(clause143,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause143) ).

cnf(clause136,axiom,
    ( rearsegP(app(X3,X1),X2)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause136) ).

cnf(clause131,axiom,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause131) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause86) ).

cnf(clause97,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause97) ).

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause99) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause73) ).

cnf(clause50,axiom,
    ssList(skaf46(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause50) ).

cnf(clause123,axiom,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause123) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause118) ).

cnf(clause104,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause104) ).

cnf(clause133,axiom,
    ( nil = X2
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause133) ).

cnf(clause176,axiom,
    ( X1 = X3
    | ~ frontsegP(cons(X1,X2),cons(X3,X4))
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause176) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause75) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause76) ).

cnf(clause60,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause60) ).

cnf(clause137,axiom,
    ( frontsegP(app(X1,X3),X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause137) ).

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.ifkpqK6OU0/E---3.1_28318.p',clause157) ).

cnf(co1_15,negated_conjecture,
    ( memberP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_15) ).

cnf(clause138,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause138) ).

cnf(clause98,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause98) ).

cnf(clause58,axiom,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause58) ).

cnf(clause169,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause169) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_2) ).

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.ifkpqK6OU0/E---3.1_28318.p',clause179) ).

cnf(clause53,axiom,
    ssList(skaf42(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause53) ).

cnf(clause52,axiom,
    ssList(skaf43(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause52) ).

cnf(clause172,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause172) ).

cnf(clause57,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause57) ).

cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause119) ).

cnf(clause149,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause149) ).

cnf(clause72,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause72) ).

cnf(clause61,axiom,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause61) ).

cnf(co1_16,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',co1_16) ).

cnf(clause100,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p',clause100) ).

cnf(c_0_48,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_49,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    co1_14 ).

cnf(c_0_50,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_51,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_52,negated_conjecture,
    neq(sk2,nil),
    c_0_48 ).

cnf(c_0_53,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    co1_13 ).

cnf(c_0_54,axiom,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    clause144 ).

cnf(c_0_55,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_56,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_57,negated_conjecture,
    cons(sk5,nil) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_58,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_51]),c_0_52])]) ).

cnf(c_0_59,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_54]),c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( app(sk1,X1) = cons(sk5,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_61,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_62,negated_conjecture,
    ( frontsegP(cons(sk5,X1),sk1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_63,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_64,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause132 ).

cnf(c_0_65,negated_conjecture,
    frontsegP(sk1,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_63])]) ).

cnf(c_0_66,negated_conjecture,
    app(sk1,skaf45(sk1,sk1)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_61])]) ).

cnf(c_0_67,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_68,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause96 ).

cnf(c_0_69,negated_conjecture,
    cons(sk5,skaf45(sk1,sk1)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_66]),c_0_67])]) ).

cnf(c_0_70,negated_conjecture,
    tl(sk1) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_58]),c_0_63])]) ).

cnf(c_0_71,axiom,
    ( rearsegP(X3,X2)
    | app(X1,X2) != X3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause143 ).

cnf(c_0_72,negated_conjecture,
    skaf45(sk1,sk1) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_58]),c_0_67])]) ).

cnf(c_0_73,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_71]),c_0_55]) ).

cnf(c_0_74,negated_conjecture,
    app(sk1,nil) = sk1,
    inference(rw,[status(thm)],[c_0_66,c_0_72]) ).

cnf(c_0_75,axiom,
    ( rearsegP(app(X3,X1),X2)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause136 ).

cnf(c_0_76,negated_conjecture,
    rearsegP(sk1,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_63]),c_0_61])]) ).

cnf(c_0_77,negated_conjecture,
    ( rearsegP(app(X1,sk1),nil)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_63]),c_0_61])]) ).

cnf(c_0_78,axiom,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause131 ).

cnf(c_0_79,negated_conjecture,
    rearsegP(cons(sk5,sk1),nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_60]),c_0_61])]) ).

cnf(c_0_80,negated_conjecture,
    ( app(skaf46(cons(sk5,sk1),nil),nil) = cons(sk5,sk1)
    | ~ ssList(cons(sk5,sk1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_63])]) ).

cnf(c_0_81,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_82,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause97 ).

cnf(c_0_83,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause99 ).

cnf(c_0_84,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    clause73 ).

cnf(c_0_85,negated_conjecture,
    app(skaf46(cons(sk5,sk1),nil),nil) = cons(sk5,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_58]),c_0_61])]) ).

cnf(c_0_86,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_87,axiom,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause123 ).

cnf(c_0_88,negated_conjecture,
    hd(sk1) = sk5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_57]),c_0_58]),c_0_63])]) ).

cnf(c_0_89,negated_conjecture,
    sk1 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_57]),c_0_58]),c_0_63])]) ).

cnf(c_0_90,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause118 ).

cnf(c_0_91,negated_conjecture,
    skaf46(cons(sk5,sk1),nil) = cons(sk5,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).

cnf(c_0_92,axiom,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause104 ).

cnf(c_0_93,negated_conjecture,
    ( hd(cons(sk5,X1)) = sk5
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_60]),c_0_88]),c_0_61])]),c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    ( ssList(cons(sk5,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_60]),c_0_61])]) ).

cnf(c_0_95,negated_conjecture,
    ( cons(sk5,X1) != nil
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_60]),c_0_61])]),c_0_89]) ).

cnf(c_0_96,axiom,
    ( nil = X2
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause133 ).

cnf(c_0_97,axiom,
    ( X1 = X3
    | ~ frontsegP(cons(X1,X2),cons(X3,X4))
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ ssItem(X1) ),
    clause176 ).

cnf(c_0_98,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause75 ).

cnf(c_0_99,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause76 ).

cnf(c_0_100,negated_conjecture,
    app(cons(sk5,sk1),nil) = cons(sk5,sk1),
    inference(rw,[status(thm)],[c_0_85,c_0_91]) ).

cnf(c_0_101,negated_conjecture,
    ssList(cons(sk5,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_85]),c_0_86]),c_0_63])]) ).

cnf(c_0_102,negated_conjecture,
    ( cons(sk5,tl(cons(sk5,X1))) = cons(sk5,X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]) ).

cnf(c_0_103,negated_conjecture,
    ( tl(cons(sk5,X1)) = app(nil,X1)
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_60]),c_0_70]),c_0_61])]),c_0_89]) ).

cnf(c_0_104,plain,
    ( X1 = hd(X2)
    | nil = X2
    | ~ frontsegP(cons(X1,X3),X2)
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_92]),c_0_98]),c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    frontsegP(cons(sk5,sk1),cons(sk5,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_100]),c_0_63]),c_0_101])]) ).

cnf(c_0_106,negated_conjecture,
    ( cons(sk5,app(nil,X1)) = cons(sk5,X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_107,negated_conjecture,
    ( ssList(app(nil,X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_103]),c_0_94]),c_0_95]) ).

cnf(c_0_108,negated_conjecture,
    ( hd(cons(sk5,sk1)) = sk5
    | cons(sk5,sk1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_58]),c_0_61]),c_0_101])]) ).

cnf(c_0_109,negated_conjecture,
    ( tl(cons(sk5,X1)) = app(nil,app(nil,X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_106]),c_0_107]) ).

cnf(c_0_110,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    clause60 ).

cnf(c_0_111,axiom,
    ( frontsegP(app(X1,X3),X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause137 ).

cnf(c_0_112,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_113,negated_conjecture,
    ( cons(sk5,tl(cons(sk5,sk1))) = cons(sk5,sk1)
    | cons(sk5,sk1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_108]),c_0_101])]) ).

cnf(c_0_114,negated_conjecture,
    ( cons(sk5,app(nil,app(nil,X1))) = cons(sk5,X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_109]) ).

cnf(c_0_115,plain,
    ( app(nil,skaf45(X1,nil)) = X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_110]),c_0_63])]) ).

cnf(c_0_116,plain,
    ( frontsegP(app(X1,X2),nil)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_110]),c_0_63])]) ).

cnf(c_0_117,negated_conjecture,
    ( memberP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    co1_15 ).

cnf(c_0_118,negated_conjecture,
    ( cons(sk5,app(nil,X1)) = app(sk1,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_57]),c_0_58]),c_0_63])]) ).

cnf(c_0_119,negated_conjecture,
    ( cons(sk5,app(nil,sk1)) = cons(sk5,sk1)
    | cons(sk5,sk1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_103]),c_0_61])]) ).

cnf(c_0_120,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    clause138 ).

cnf(c_0_121,axiom,
    ( cons(X1,X2) != nil
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause98 ).

cnf(c_0_122,negated_conjecture,
    ( cons(sk5,skaf45(X1,nil)) = cons(sk5,app(nil,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_67])]) ).

cnf(c_0_123,negated_conjecture,
    frontsegP(sk1,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_74]),c_0_63]),c_0_61])]) ).

cnf(c_0_124,axiom,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    clause58 ).

cnf(c_0_125,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    clause169 ).

cnf(c_0_126,negated_conjecture,
    memberP(sk2,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_51]),c_0_51]),c_0_52])]) ).

cnf(c_0_127,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_128,negated_conjecture,
    ( app(sk1,sk1) = cons(sk5,sk1)
    | cons(sk5,sk1) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_61])]) ).

cnf(c_0_129,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_130,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_120]) ).

cnf(c_0_131,negated_conjecture,
    ( cons(sk5,app(nil,X1)) != nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_58]),c_0_67])]) ).

cnf(c_0_132,negated_conjecture,
    app(nil,skaf45(sk1,nil)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_123]),c_0_63]),c_0_61])]) ).

cnf(c_0_133,plain,
    ( rearsegP(app(X1,X2),nil)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_124]),c_0_63])]) ).

cnf(c_0_134,negated_conjecture,
    app(skaf42(sk2,sk5),cons(sk5,skaf43(sk5,sk2))) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_58]),c_0_127])]) ).

cnf(c_0_135,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_136,negated_conjecture,
    ( tl(cons(sk5,sk1)) = app(nil,sk1)
    | cons(sk5,sk1) = nil ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_128]),c_0_70]),c_0_61])]),c_0_89]) ).

cnf(c_0_137,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_129]) ).

cnf(c_0_138,negated_conjecture,
    memberP(sk1,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_57]),c_0_58]),c_0_63])]) ).

cnf(c_0_139,negated_conjecture,
    cons(sk5,sk1) != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_67])]) ).

cnf(c_0_140,negated_conjecture,
    ( rearsegP(sk2,nil)
    | ~ ssList(cons(sk5,skaf43(sk5,sk2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_141,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_142,axiom,
    ( segmentP(app(app(X4,X1),X3),X2)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause172 ).

cnf(c_0_143,axiom,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    clause57 ).

cnf(c_0_144,negated_conjecture,
    ( cons(sk5,sk1) = nil
    | app(nil,sk1) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_136]),c_0_58]),c_0_61])]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ ssList(app(app(X1,cons(sk5,X2)),sk1))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(app(X1,cons(sk5,X2)),sk1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_57]),c_0_58]),c_0_63])]) ).

cnf(c_0_146,negated_conjecture,
    app(skaf42(sk1,sk5),cons(sk5,skaf43(sk5,sk1))) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_138]),c_0_58]),c_0_61])]) ).

cnf(c_0_147,negated_conjecture,
    app(sk1,sk1) = cons(sk5,sk1),
    inference(sr,[status(thm)],[c_0_128,c_0_139]) ).

cnf(c_0_148,negated_conjecture,
    rearsegP(sk2,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_81]),c_0_58]),c_0_141])]) ).

cnf(c_0_149,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause119 ).

cnf(c_0_150,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_151,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_152,negated_conjecture,
    app(nil,sk1) = sk1,
    inference(sr,[status(thm)],[c_0_144,c_0_139]) ).

cnf(c_0_153,negated_conjecture,
    ~ duplicatefreeP(cons(sk5,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_101]),c_0_141]),c_0_135]),c_0_147])]) ).

cnf(c_0_154,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_155,negated_conjecture,
    app(skaf46(sk2,nil),nil) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_148]),c_0_63]),c_0_127])]) ).

cnf(c_0_156,plain,
    ( nil = X1
    | app(X2,app(X3,X1)) != nil
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_55]) ).

cnf(c_0_157,negated_conjecture,
    ( segmentP(app(sk1,X1),sk1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_63]),c_0_61])]) ).

cnf(c_0_158,negated_conjecture,
    ( app(sk1,skaf45(cons(sk5,X1),sk1)) = cons(sk5,X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_62]),c_0_61])]),c_0_94]) ).

cnf(c_0_159,negated_conjecture,
    ssItem(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_101])]) ).

cnf(c_0_160,negated_conjecture,
    skaf46(sk2,nil) = sk2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_155]),c_0_86])]) ).

cnf(c_0_161,plain,
    ( app(X1,X2) = nil
    | app(X1,app(X2,X3)) != nil
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_150]),c_0_55]) ).

cnf(c_0_162,negated_conjecture,
    ( app(X1,sk1) != nil
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_152]),c_0_61]),c_0_63])]),c_0_89]) ).

cnf(c_0_163,negated_conjecture,
    ( segmentP(cons(sk5,X1),sk1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_67])]) ).

cnf(c_0_164,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_159])]) ).

cnf(c_0_165,axiom,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    clause61 ).

cnf(c_0_166,plain,
    ( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
    | nil = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_87]),c_0_55]),c_0_90]) ).

cnf(c_0_167,negated_conjecture,
    app(sk2,nil) = sk2,
    inference(rw,[status(thm)],[c_0_155,c_0_160]) ).

cnf(c_0_168,negated_conjecture,
    ( app(X1,cons(sk5,X2)) != nil
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_158]),c_0_67]),c_0_61])]),c_0_162]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    co1_16 ).

cnf(c_0_170,negated_conjecture,
    ( segmentP(app(app(X1,cons(sk5,X2)),X3),sk1)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_163]),c_0_61])]),c_0_164]) ).

cnf(c_0_171,plain,
    ( cons(hd(X1),app(tl(X1),X2)) = app(X1,X2)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_92]),c_0_98]),c_0_99]) ).

cnf(c_0_172,plain,
    ( app(X1,skaf45(X1,X1)) = X1
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_165]) ).

cnf(c_0_173,negated_conjecture,
    ( cons(hd(sk2),tl(sk2)) = sk2
    | sk2 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_127]),c_0_63])]) ).

cnf(c_0_174,negated_conjecture,
    sk2 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_134]),c_0_135]),c_0_141])]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_51]),c_0_52])]) ).

cnf(c_0_176,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause100 ).

cnf(c_0_177,negated_conjecture,
    ( segmentP(app(sk2,X1),sk1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_134]),c_0_135]),c_0_141])]) ).

cnf(c_0_178,plain,
    ( app(X1,skaf45(tl(X1),tl(X1))) = cons(hd(X1),tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_67])]),c_0_98]) ).

cnf(c_0_179,negated_conjecture,
    cons(hd(sk2),tl(sk2)) = sk2,
    inference(sr,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_180,negated_conjecture,
    ~ segmentP(sk2,sk1),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_61]),c_0_63])]),c_0_89]) ).

cnf(c_0_181,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_67]),c_0_127])]),c_0_180]),c_0_174]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC126-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Oct  3 02:01:22 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.ifkpqK6OU0/E---3.1_28318.p
% 138.99/18.07  # Version: 3.1pre001
% 138.99/18.07  # Preprocessing class: FSLSSMSMSSSNFFN.
% 138.99/18.07  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.99/18.07  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 138.99/18.07  # Starting new_bool_3 with 300s (1) cores
% 138.99/18.07  # Starting new_bool_1 with 300s (1) cores
% 138.99/18.07  # Starting sh5l with 300s (1) cores
% 138.99/18.07  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 28396 completed with status 0
% 138.99/18.07  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 138.99/18.07  # Preprocessing class: FSLSSMSMSSSNFFN.
% 138.99/18.07  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.99/18.07  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 138.99/18.07  # No SInE strategy applied
% 138.99/18.07  # Search class: FGHSM-FSLM21-MFFFFFNN
% 138.99/18.07  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 138.99/18.07  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 138.99/18.07  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 138.99/18.07  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 138.99/18.07  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 138.99/18.07  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 138.99/18.07  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 28402 completed with status 0
% 138.99/18.07  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 138.99/18.07  # Preprocessing class: FSLSSMSMSSSNFFN.
% 138.99/18.07  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.99/18.07  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 138.99/18.07  # No SInE strategy applied
% 138.99/18.07  # Search class: FGHSM-FSLM21-MFFFFFNN
% 138.99/18.07  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 138.99/18.07  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 138.99/18.07  # Preprocessing time       : 0.002 s
% 138.99/18.07  # Presaturation interreduction done
% 138.99/18.07  
% 138.99/18.07  # Proof found!
% 138.99/18.07  # SZS status Unsatisfiable
% 138.99/18.07  # SZS output start CNFRefutation
% See solution above
% 138.99/18.07  # Parsed axioms                        : 201
% 138.99/18.07  # Removed by relevancy pruning/SinE    : 0
% 138.99/18.07  # Initial clauses                      : 201
% 138.99/18.07  # Removed in clause preprocessing      : 0
% 138.99/18.07  # Initial clauses in saturation        : 201
% 138.99/18.07  # Processed clauses                    : 53324
% 138.99/18.07  # ...of these trivial                  : 991
% 138.99/18.07  # ...subsumed                          : 45140
% 138.99/18.07  # ...remaining for further processing  : 7193
% 138.99/18.07  # Other redundant clauses eliminated   : 2997
% 138.99/18.07  # Clauses deleted for lack of memory   : 0
% 138.99/18.07  # Backward-subsumed                    : 599
% 138.99/18.07  # Backward-rewritten                   : 1021
% 138.99/18.07  # Generated clauses                    : 739802
% 138.99/18.07  # ...of the previous two non-redundant : 706202
% 138.99/18.07  # ...aggressively subsumed             : 0
% 138.99/18.07  # Contextual simplify-reflections      : 1500
% 138.99/18.07  # Paramodulations                      : 736587
% 138.99/18.07  # Factorizations                       : 1
% 138.99/18.07  # NegExts                              : 0
% 138.99/18.07  # Equation resolutions                 : 3087
% 138.99/18.07  # Total rewrite steps                  : 890244
% 138.99/18.07  # Propositional unsat checks           : 0
% 138.99/18.07  #    Propositional check models        : 0
% 138.99/18.07  #    Propositional check unsatisfiable : 0
% 138.99/18.07  #    Propositional clauses             : 0
% 138.99/18.07  #    Propositional clauses after purity: 0
% 138.99/18.07  #    Propositional unsat core size     : 0
% 138.99/18.07  #    Propositional preprocessing time  : 0.000
% 138.99/18.07  #    Propositional encoding time       : 0.000
% 138.99/18.07  #    Propositional solver time         : 0.000
% 138.99/18.07  #    Success case prop preproc time    : 0.000
% 138.99/18.07  #    Success case prop encoding time   : 0.000
% 138.99/18.07  #    Success case prop solver time     : 0.000
% 138.99/18.07  # Current number of processed clauses  : 5234
% 138.99/18.07  #    Positive orientable unit clauses  : 627
% 138.99/18.07  #    Positive unorientable unit clauses: 0
% 138.99/18.07  #    Negative unit clauses             : 904
% 138.99/18.07  #    Non-unit-clauses                  : 3703
% 138.99/18.07  # Current number of unprocessed clauses: 643803
% 138.99/18.07  # ...number of literals in the above   : 3364748
% 138.99/18.07  # Current number of archived formulas  : 0
% 138.99/18.07  # Current number of archived clauses   : 1936
% 138.99/18.07  # Clause-clause subsumption calls (NU) : 3274618
% 138.99/18.07  # Rec. Clause-clause subsumption calls : 862060
% 138.99/18.07  # Non-unit clause-clause subsumptions  : 16508
% 138.99/18.07  # Unit Clause-clause subsumption calls : 275970
% 138.99/18.07  # Rewrite failures with RHS unbound    : 0
% 138.99/18.07  # BW rewrite match attempts            : 1910
% 138.99/18.07  # BW rewrite match successes           : 308
% 138.99/18.07  # Condensation attempts                : 0
% 138.99/18.07  # Condensation successes               : 0
% 138.99/18.07  # Termbank termtop insertions          : 18977830
% 138.99/18.07  
% 138.99/18.07  # -------------------------------------------------
% 138.99/18.07  # User time                : 16.797 s
% 138.99/18.07  # System time              : 0.434 s
% 138.99/18.07  # Total time               : 17.231 s
% 138.99/18.07  # Maximum resident set size: 2140 pages
% 138.99/18.07  
% 138.99/18.07  # -------------------------------------------------
% 138.99/18.07  # User time                : 83.991 s
% 138.99/18.07  # System time              : 2.690 s
% 138.99/18.07  # Total time               : 86.681 s
% 138.99/18.07  # Maximum resident set size: 1848 pages
% 138.99/18.07  % E---3.1 exiting
% 138.99/18.07  % E---3.1 exiting
%------------------------------------------------------------------------------