%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC161-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:43:16 PM UTC 2026
% Result : Unsatisfiable 169.10s 25.87s
% Output : CNFRefutation 169.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 44
% Syntax : Number of clauses : 265 ( 78 unt; 21 nHn; 261 RR)
% Number of literals : 698 ( 220 equ; 434 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 298 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause149,axiom,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_18,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_15,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_16,negated_conjecture,
ssList(sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(clause86,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| ssList(cons(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_13,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_14,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(clause85,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_17,negated_conjecture,
ssList(sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
cnf(clause144,axiom,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X3
| frontsegP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(clause151,axiom,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X1,X2) != app(X3,X2)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(clause120,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) = cons(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause136,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| rearsegP(app(X3,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause136) ).
cnf(clause58,axiom,
( ~ ssList(X1)
| rearsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause132,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| app(X2,skaf45(X1,X2)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(clause131,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| app(skaf46(X1,X2),X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause73,axiom,
( ~ ssList(X1)
| app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause143,axiom,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| rearsegP(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause61,axiom,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause150,axiom,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(clause99,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(clause157,axiom,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(clause81,axiom,
( ~ ssList(X1)
| nil != X1
| rearsegP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause81) ).
cnf(clause96,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| tl(cons(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause98,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause104,axiom,
( ~ ssList(X1)
| nil = X1
| cons(hd(X1),tl(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause97,axiom,
( ~ ssList(X2)
| ~ ssItem(X1)
| hd(cons(X1,X2)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause133,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| tl(app(X2,X1)) = app(tl(X2),X1)
| nil = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause118,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause75,axiom,
( ~ ssList(X1)
| nil = X1
| ssList(tl(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause76,axiom,
( ~ ssList(X1)
| nil = X1
| ssItem(hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause123,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| hd(app(X2,X1)) = hd(X2)
| nil = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(clause145,axiom,
( ~ ssList(X1)
| ~ ssList(X2)
| nil != X2
| nil != X1
| app(X1,X2) = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).
cnf(clause181,axiom,
( ~ ssList(X6)
| ~ strictorderedP(X6)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X5)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| lt(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause181) ).
cnf(clause121,axiom,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| X1 = X2
| lt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause121) ).
cnf(clause114,axiom,
( ~ ssItem(X2)
| ~ ssItem(X1)
| ~ lt(X2,X1)
| ~ lt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause114) ).
cnf(co1_19,negated_conjecture,
leq(sk8,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
cnf(co1_10,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(clause63,axiom,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(c_0_44,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_45,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
co1_18 ).
cnf(c_0_46,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
c_0_44 ).
cnf(c_0_47,negated_conjecture,
ssList(sk9),
co1_15 ).
cnf(c_0_48,negated_conjecture,
ssList(sk10),
co1_16 ).
cnf(c_0_49,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| ssList(cons(X1,X2)) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_50,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| app(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)),sk11) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_51,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| ssList(cons(X1,X2)) ),
c_0_49 ).
cnf(c_0_52,negated_conjecture,
ssItem(sk7),
co1_13 ).
cnf(c_0_53,axiom,
ssList(nil),
clause8 ).
cnf(c_0_54,negated_conjecture,
app(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)),sk11) = sk1,
inference(cn,[status(thm)],[inference(rw,[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_55,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| ~ ssList(app(cons(sk7,nil),sk10))
| app(app(sk9,app(app(cons(sk7,nil),sk10),cons(sk8,nil))),sk11) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_46]),c_0_47])]) ).
cnf(c_0_56,negated_conjecture,
ssItem(sk8),
co1_14 ).
cnf(c_0_57,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_58,negated_conjecture,
( ~ ssList(app(cons(sk7,nil),sk10))
| app(app(sk9,app(app(cons(sk7,nil),sk10),cons(sk8,nil))),sk11) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_59,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X2,X1)) ),
c_0_57 ).
cnf(c_0_60,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| app(app(sk9,app(app(cons(sk7,nil),sk10),cons(sk8,nil))),sk11) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_48])]) ).
cnf(c_0_61,negated_conjecture,
app(app(sk9,app(app(cons(sk7,nil),sk10),cons(sk8,nil))),sk11) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_62,negated_conjecture,
ssList(sk11),
co1_17 ).
cnf(c_0_63,negated_conjecture,
( ~ ssList(app(app(cons(sk7,nil),sk10),cons(sk8,nil)))
| app(sk9,app(app(app(cons(sk7,nil),sk10),cons(sk8,nil)),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_61]),c_0_47]),c_0_62])]) ).
cnf(c_0_64,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| ~ ssList(app(cons(sk7,nil),sk10))
| app(sk9,app(app(app(cons(sk7,nil),sk10),cons(sk8,nil)),sk11)) = sk1 ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| app(app(app(sk9,cons(sk7,nil)),sk10),app(cons(sk8,nil),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_62])]) ).
cnf(c_0_66,plain,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X3
| frontsegP(X3,X1) ),
inference(fof_simplification,[status(thm)],[clause144]) ).
cnf(c_0_67,negated_conjecture,
( ~ ssList(app(cons(sk7,nil),sk10))
| app(sk9,app(app(app(cons(sk7,nil),sk10),cons(sk8,nil)),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_68,negated_conjecture,
( ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| app(app(app(sk9,cons(sk7,nil)),sk10),app(cons(sk8,nil),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_69,plain,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X3
| frontsegP(X3,X1) ),
c_0_66 ).
cnf(c_0_70,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| app(sk9,app(app(app(cons(sk7,nil),sk10),cons(sk8,nil)),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_48])]) ).
cnf(c_0_71,negated_conjecture,
( ~ ssList(app(sk9,cons(sk7,nil)))
| app(app(app(sk9,cons(sk7,nil)),sk10),app(cons(sk8,nil),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_48])]) ).
cnf(c_0_72,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_69]),c_0_59]) ).
cnf(c_0_73,negated_conjecture,
app(sk9,app(app(app(cons(sk7,nil),sk10),cons(sk8,nil)),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_74,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| app(app(app(sk9,cons(sk7,nil)),sk10),app(cons(sk8,nil),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_59]),c_0_47])]) ).
cnf(c_0_75,negated_conjecture,
( ~ ssList(app(app(app(cons(sk7,nil),sk10),cons(sk8,nil)),sk11))
| frontsegP(sk1,sk9) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_47])]) ).
cnf(c_0_76,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X1,X2) != app(X3,X2)
| X1 = X3 ),
inference(fof_simplification,[status(thm)],[clause151]) ).
cnf(c_0_77,negated_conjecture,
app(app(app(sk9,cons(sk7,nil)),sk10),app(cons(sk8,nil),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_78,negated_conjecture,
( ~ ssList(app(app(cons(sk7,nil),sk10),cons(sk8,nil)))
| frontsegP(sk1,sk9) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_59]),c_0_62])]) ).
cnf(c_0_79,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) = cons(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_80,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X1,X2) != app(X3,X2)
| X1 = X3 ),
c_0_76 ).
cnf(c_0_81,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| app(app(sk9,app(cons(sk7,nil),sk10)),app(cons(sk8,nil),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_82,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| ~ ssList(app(cons(sk7,nil),sk10))
| frontsegP(sk1,sk9) ),
inference(spm,[status(thm)],[c_0_78,c_0_59]) ).
cnf(c_0_83,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) = cons(X1,X2) ),
c_0_79 ).
cnf(c_0_84,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(app(cons(sk8,nil),sk11))
| ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| app(X1,app(cons(sk8,nil),sk11)) != sk1
| app(app(sk9,cons(sk7,nil)),sk10) = X1 ),
inference(spm,[status(thm)],[c_0_80,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
app(app(sk9,app(cons(sk7,nil),sk10)),app(cons(sk8,nil),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_86,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| rearsegP(app(X3,X1),X2) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_87,plain,
( ~ ssList(X1)
| rearsegP(X1,nil) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_88,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| app(X2,skaf45(X1,X2)) = X1 ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_89,negated_conjecture,
( ~ ssList(app(cons(sk7,nil),sk10))
| frontsegP(sk1,sk9) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_90,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| ssList(app(cons(X1,nil),X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
( ~ ssList(app(cons(sk8,nil),sk11))
| ~ ssList(app(sk9,app(cons(sk7,nil),sk10)))
| ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| rearsegP(app(X3,X1),X2) ),
c_0_86 ).
cnf(c_0_93,plain,
( ~ ssList(X1)
| rearsegP(X1,nil) ),
c_0_87 ).
cnf(c_0_94,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| app(X2,skaf45(X1,X2)) = X1 ),
c_0_88 ).
cnf(c_0_95,negated_conjecture,
frontsegP(sk1,sk9),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_52]),c_0_48])]) ).
cnf(c_0_96,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_97,negated_conjecture,
( ~ ssList(app(sk9,app(cons(sk7,nil),sk10)))
| ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_56]),c_0_62])]) ).
cnf(c_0_98,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| app(skaf46(X1,X2),X2) = X1 ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_99,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(app(X1,X2),nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_53])]) ).
cnf(c_0_100,negated_conjecture,
app(sk9,skaf45(sk1,sk9)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_47]),c_0_96])]) ).
cnf(c_0_101,axiom,
ssList(skaf45(X1,X2)),
clause51 ).
cnf(c_0_102,negated_conjecture,
( ~ ssList(app(sk9,cons(sk7,nil)))
| ~ ssList(app(sk9,app(cons(sk7,nil),sk10)))
| app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_59]),c_0_48])]) ).
cnf(c_0_103,plain,
( ~ ssList(X1)
| app(X1,nil) = X1 ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_104,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| app(skaf46(X1,X2),X2) = X1 ),
c_0_98 ).
cnf(c_0_105,negated_conjecture,
rearsegP(sk1,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_47]),c_0_101])]) ).
cnf(c_0_106,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| ~ ssList(app(sk9,app(cons(sk7,nil),sk10)))
| app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_59]),c_0_47])]) ).
cnf(c_0_107,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| rearsegP(X3,X2) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_108,plain,
( ~ ssList(X1)
| app(X1,nil) = X1 ),
c_0_103 ).
cnf(c_0_109,negated_conjecture,
app(skaf46(sk1,nil),nil) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_53]),c_0_96])]) ).
cnf(c_0_110,axiom,
ssList(skaf46(X1,X2)),
clause50 ).
cnf(c_0_111,negated_conjecture,
( ~ ssList(app(sk9,app(cons(sk7,nil),sk10)))
| app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_112,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ssList(app(X1,app(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_59]) ).
cnf(c_0_113,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| rearsegP(X3,X2) ),
c_0_107 ).
cnf(c_0_114,negated_conjecture,
skaf46(sk1,nil) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
cnf(c_0_115,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_48]),c_0_47])]) ).
cnf(c_0_116,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X1,X2),X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_113]),c_0_59]) ).
cnf(c_0_117,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_118,plain,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X3)
| X2 = X3 ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_119,negated_conjecture,
app(sk1,nil) = sk1,
inference(rw,[status(thm)],[c_0_109,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
app(app(sk9,cons(sk7,nil)),sk10) = app(sk9,app(cons(sk7,nil),sk10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_121,negated_conjecture,
( ~ ssList(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)))
| rearsegP(sk1,sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_45]),c_0_62])]) ).
cnf(c_0_122,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
c_0_117 ).
cnf(c_0_123,plain,
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X3)
| X2 = X3 ),
c_0_118 ).
cnf(c_0_124,negated_conjecture,
frontsegP(sk1,sk1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_119]),c_0_53]),c_0_96])]) ).
cnf(c_0_125,negated_conjecture,
( ~ ssList(app(sk9,cons(sk7,nil)))
| ssList(app(sk9,app(cons(sk7,nil),sk10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_120]),c_0_48])]) ).
cnf(c_0_126,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| rearsegP(sk1,sk11) ),
inference(spm,[status(thm)],[c_0_121,c_0_59]) ).
cnf(c_0_127,plain,
( ~ ssList(X1)
| app(X1,skaf45(X1,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_94,c_0_122]) ).
cnf(c_0_128,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| app(X2,X1) != X2
| X1 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_108]),c_0_53])]) ).
cnf(c_0_129,negated_conjecture,
app(sk1,skaf45(sk1,sk1)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_124]),c_0_96])]) ).
cnf(c_0_130,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| ssList(app(sk9,app(cons(sk7,nil),sk10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_59]),c_0_47])]) ).
cnf(c_0_131,negated_conjecture,
( ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| rearsegP(sk1,sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_132,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| app(X1,app(X2,skaf45(app(X1,X2),app(X1,X2)))) = app(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_127]),c_0_101])]),c_0_59]) ).
cnf(c_0_133,negated_conjecture,
skaf45(sk1,sk1) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_101]),c_0_96])]) ).
cnf(c_0_134,negated_conjecture,
ssList(app(sk9,app(cons(sk7,nil),sk10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_135,negated_conjecture,
( ~ ssList(app(sk9,cons(sk7,nil)))
| rearsegP(sk1,sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_59]),c_0_48])]) ).
cnf(c_0_136,negated_conjecture,
( ~ ssList(app(cons(sk8,nil),sk11))
| app(app(sk9,app(cons(sk7,nil),sk10)),app(app(cons(sk8,nil),sk11),nil)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_85]),c_0_133]),c_0_134])]) ).
cnf(c_0_137,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| rearsegP(sk1,sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_59]),c_0_47])]) ).
cnf(c_0_138,negated_conjecture,
app(app(sk9,app(cons(sk7,nil),sk10)),app(app(cons(sk8,nil),sk11),nil)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_90]),c_0_56]),c_0_62])]) ).
cnf(c_0_139,negated_conjecture,
rearsegP(sk1,sk11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_140,negated_conjecture,
( ~ ssList(app(app(cons(sk8,nil),sk11),nil))
| app(app(sk9,app(cons(sk7,nil),sk10)),app(app(app(cons(sk8,nil),sk11),nil),nil)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_138]),c_0_133]),c_0_134])]) ).
cnf(c_0_141,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)))
| app(X1,sk11) != sk1
| app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_54]),c_0_62])]) ).
cnf(c_0_142,negated_conjecture,
app(skaf46(sk1,sk11),sk11) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_139]),c_0_62]),c_0_96])]) ).
cnf(c_0_143,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(app(cons(sk8,nil),sk11))
| ~ ssList(app(app(sk9,cons(sk7,nil)),sk10))
| app(app(app(sk9,cons(sk7,nil)),sk10),X1) != sk1
| app(cons(sk8,nil),sk11) = X1 ),
inference(spm,[status(thm)],[c_0_123,c_0_77]) ).
cnf(c_0_144,negated_conjecture,
( ~ ssList(app(cons(sk8,nil),sk11))
| app(app(sk9,app(cons(sk7,nil),sk10)),app(app(app(cons(sk8,nil),sk11),nil),nil)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_59]),c_0_53])]) ).
cnf(c_0_145,negated_conjecture,
( ~ ssList(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)))
| app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)) = skaf46(sk1,sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_110])]) ).
cnf(c_0_146,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(app(cons(sk8,nil),sk11))
| app(app(sk9,app(cons(sk7,nil),sk10)),X1) != sk1
| app(cons(sk8,nil),sk11) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_120]),c_0_120]),c_0_134])]) ).
cnf(c_0_147,negated_conjecture,
app(app(sk9,app(cons(sk7,nil),sk10)),app(app(app(cons(sk8,nil),sk11),nil),nil)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_90]),c_0_56]),c_0_62])]) ).
cnf(c_0_148,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)) = skaf46(sk1,sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_59]),c_0_134])]) ).
cnf(c_0_149,negated_conjecture,
( ~ ssList(app(cons(sk8,nil),sk11))
| ~ ssList(app(app(app(cons(sk8,nil),sk11),nil),nil))
| app(app(app(cons(sk8,nil),sk11),nil),nil) = app(cons(sk8,nil),sk11) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_150,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)))
| app(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)),app(sk11,X1)) = app(sk1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_54]),c_0_62])]) ).
cnf(c_0_151,negated_conjecture,
app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)) = skaf46(sk1,sk11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_152,negated_conjecture,
( ~ ssList(app(app(app(cons(sk8,nil),sk11),nil),nil))
| app(app(app(cons(sk8,nil),sk11),nil),nil) = app(cons(sk8,nil),sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_90]),c_0_56]),c_0_62])]) ).
cnf(c_0_153,negated_conjecture,
( ~ ssList(X1)
| app(skaf46(sk1,sk11),app(sk11,X1)) = app(sk1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_151]),c_0_110])]) ).
cnf(c_0_154,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != X2 ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_155,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_156,negated_conjecture,
( ~ ssList(app(app(cons(sk8,nil),sk11),nil))
| app(app(app(cons(sk8,nil),sk11),nil),nil) = app(cons(sk8,nil),sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_59]),c_0_53])]) ).
cnf(c_0_157,negated_conjecture,
app(sk1,skaf45(sk11,sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_127]),c_0_142]),c_0_101]),c_0_62])]) ).
cnf(c_0_158,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != X2 ),
c_0_154 ).
cnf(c_0_159,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
c_0_155 ).
cnf(c_0_160,plain,
( ~ ssList(X1)
| nil != X1
| rearsegP(nil,X1) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_161,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| tl(cons(X1,X2)) = X2 ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_162,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_163,negated_conjecture,
( ~ ssList(app(cons(sk8,nil),sk11))
| app(app(app(cons(sk8,nil),sk11),nil),nil) = app(cons(sk8,nil),sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_59]),c_0_53])]) ).
cnf(c_0_164,negated_conjecture,
skaf45(sk11,sk11) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_157]),c_0_101]),c_0_96])]) ).
cnf(c_0_165,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| app(cons(X1,X2),X3) != app(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_59]) ).
cnf(c_0_166,plain,
( ~ ssList(X1)
| nil != X1
| rearsegP(nil,X1) ),
c_0_160 ).
cnf(c_0_167,plain,
( ~ ssList(X1)
| nil = X1
| cons(hd(X1),tl(X1)) = X1 ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_168,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| hd(cons(X1,X2)) = X1 ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_169,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| tl(app(X2,X1)) = app(tl(X2),X1)
| nil = X2 ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_170,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| tl(cons(X1,X2)) = X2 ),
c_0_161 ).
cnf(c_0_171,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != nil ),
c_0_162 ).
cnf(c_0_172,negated_conjecture,
app(app(app(cons(sk8,nil),sk11),nil),nil) = app(cons(sk8,nil),sk11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_90]),c_0_56]),c_0_62])]) ).
cnf(c_0_173,negated_conjecture,
app(sk11,nil) = sk11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_164]),c_0_62])]) ).
cnf(c_0_174,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) != app(X2,nil) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_108]),c_0_53])]),c_0_51]) ).
cnf(c_0_175,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X1 ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_176,plain,
rearsegP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_166]),c_0_53])]) ).
cnf(c_0_177,plain,
( ~ ssList(X1)
| nil = X1
| cons(hd(X1),tl(X1)) = X1 ),
c_0_167 ).
cnf(c_0_178,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| hd(cons(X1,X2)) = X1 ),
c_0_168 ).
cnf(c_0_179,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| tl(app(X2,X1)) = app(tl(X2),X1)
| nil = X2 ),
c_0_169 ).
cnf(c_0_180,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| tl(app(cons(X1,nil),X2)) = X2 ),
inference(spm,[status(thm)],[c_0_170,c_0_83]) ).
cnf(c_0_181,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) != nil ),
inference(spm,[status(thm)],[c_0_171,c_0_83]) ).
cnf(c_0_182,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| app(app(cons(sk8,nil),sk11),nil) = app(cons(sk8,nil),sk11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_46]),c_0_173]),c_0_62]),c_0_53])]) ).
cnf(c_0_183,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),X2) != app(X2,nil) ),
inference(spm,[status(thm)],[c_0_174,c_0_83]) ).
cnf(c_0_184,plain,
( ~ ssList(X1)
| app(skaf46(X1,nil),nil) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_93]),c_0_53])]) ).
cnf(c_0_185,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != nil
| nil = X1 ),
c_0_175 ).
cnf(c_0_186,plain,
app(skaf46(nil,nil),nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_176]),c_0_53])]) ).
cnf(c_0_187,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| ~ ssList(cons(sk7,nil))
| app(sk9,app(app(cons(sk7,nil),app(sk10,cons(sk8,nil))),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_46]),c_0_48])]) ).
cnf(c_0_188,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,tl(cons(X1,X2))) = cons(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_51]),c_0_171]) ).
cnf(c_0_189,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| tl(app(app(cons(X1,nil),X2),X3)) = app(X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_90]),c_0_181]) ).
cnf(c_0_190,negated_conjecture,
app(app(cons(sk8,nil),sk11),nil) = app(cons(sk8,nil),sk11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_191,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),skaf46(X2,nil)) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_110])]) ).
cnf(c_0_192,plain,
skaf46(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_53]),c_0_110])]) ).
cnf(c_0_193,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| app(sk9,app(app(cons(sk7,nil),app(sk10,cons(sk8,nil))),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_194,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| app(cons(X1,nil),app(X2,X3)) = app(cons(X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_159]),c_0_59]) ).
cnf(c_0_195,plain,
( ~ ssList(X1)
| nil = X1
| ssList(tl(X1)) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_196,plain,
( ~ ssList(X1)
| nil = X1
| ssItem(hd(X1)) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_197,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,tl(app(cons(X1,nil),X2))) = app(cons(X1,nil),X2) ),
inference(spm,[status(thm)],[c_0_188,c_0_83]) ).
cnf(c_0_198,negated_conjecture,
tl(app(cons(sk8,nil),sk11)) = sk11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_173]),c_0_56]),c_0_53]),c_0_62])]) ).
cnf(c_0_199,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| hd(app(X2,X1)) = hd(X2)
| nil = X2 ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_200,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,X2),nil) = cons(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_108]),c_0_53])]) ).
cnf(c_0_201,plain,
( ~ ssItem(X1)
| app(cons(X1,nil),nil) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_53])]) ).
cnf(c_0_202,negated_conjecture,
app(sk9,app(app(cons(sk7,nil),app(sk10,cons(sk8,nil))),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_203,plain,
( ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X1)
| app(app(cons(X1,nil),app(X2,X3)),X4) = app(cons(X1,X2),app(X3,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_194]),c_0_51]) ).
cnf(c_0_204,plain,
( ~ ssList(X1)
| nil = X1
| ssList(tl(X1)) ),
c_0_195 ).
cnf(c_0_205,plain,
( ~ ssList(X1)
| nil = X1
| ssItem(hd(X1)) ),
c_0_196 ).
cnf(c_0_206,negated_conjecture,
cons(sk8,sk11) = app(cons(sk8,nil),sk11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_56]),c_0_62])]) ).
cnf(c_0_207,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| hd(app(X2,X1)) = hd(X2)
| nil = X2 ),
c_0_199 ).
cnf(c_0_208,plain,
( ~ ssItem(X1)
| ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_200]),c_0_53])]) ).
cnf(c_0_209,plain,
( ~ ssItem(X1)
| cons(X1,nil) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_83]),c_0_53])]) ).
cnf(c_0_210,negated_conjecture,
( ~ ssList(cons(sk8,nil))
| app(sk9,app(cons(sk7,sk10),app(cons(sk8,nil),sk11))) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_52]),c_0_62]),c_0_48])]) ).
cnf(c_0_211,plain,
( ~ ssList(X1)
| nil = X1
| app(cons(hd(X1),nil),tl(X1)) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_83]),c_0_204]),c_0_205]) ).
cnf(c_0_212,negated_conjecture,
hd(app(cons(sk8,nil),sk11)) = sk8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_206]),c_0_56]),c_0_62])]) ).
cnf(c_0_213,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| hd(app(cons(X1,X2),X3)) = hd(cons(X1,nil)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_194]),c_0_59]),c_0_208]),c_0_209]) ).
cnf(c_0_214,negated_conjecture,
app(sk9,app(cons(sk7,sk10),app(cons(sk8,nil),sk11))) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_51]),c_0_56]),c_0_53])]) ).
cnf(c_0_215,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(hd(cons(X1,X2)),nil),X2) = cons(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_170]),c_0_51]),c_0_171]) ).
cnf(c_0_216,negated_conjecture,
hd(cons(sk8,nil)) = sk8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_56]),c_0_62]),c_0_53])]) ).
cnf(c_0_217,negated_conjecture,
( ~ ssList(app(cons(sk7,sk10),app(cons(sk8,nil),sk11)))
| app(sk9,app(app(cons(sk7,sk10),app(cons(sk8,nil),sk11)),nil)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_214]),c_0_133]),c_0_47])]) ).
cnf(c_0_218,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ssList(app(cons(X1,X2),X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_159]),c_0_59]) ).
cnf(c_0_219,negated_conjecture,
ssList(app(cons(sk8,nil),sk11)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_206]),c_0_56]),c_0_62])]) ).
cnf(c_0_220,negated_conjecture,
app(cons(sk8,nil),nil) = cons(sk8,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_56]),c_0_53])]) ).
cnf(c_0_221,negated_conjecture,
app(sk9,app(app(cons(sk7,sk10),app(cons(sk8,nil),sk11)),nil)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_52]),c_0_219]),c_0_48])]) ).
cnf(c_0_222,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| app(app(X1,app(X2,X3)),X4) = app(app(X1,X2),app(X3,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_46]),c_0_59]) ).
cnf(c_0_223,negated_conjecture,
ssList(cons(sk8,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_220]),c_0_56]),c_0_53])]) ).
cnf(c_0_224,negated_conjecture,
( ~ ssList(cons(sk7,sk10))
| app(sk9,app(app(cons(sk7,sk10),cons(sk8,nil)),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_173]),c_0_62]),c_0_53]),c_0_223])]) ).
cnf(c_0_225,negated_conjecture,
app(sk9,app(app(cons(sk7,sk10),cons(sk8,nil)),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_51]),c_0_52]),c_0_48])]) ).
cnf(c_0_226,plain,
( ~ ssList(X2)
| ~ ssItem(X1)
| app(cons(X1,nil),app(X2,nil)) = cons(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_194]),c_0_53])]),c_0_51]) ).
cnf(c_0_227,negated_conjecture,
app(sk9,app(app(app(cons(sk7,nil),app(sk10,nil)),cons(sk8,nil)),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_52]),c_0_48])]) ).
cnf(c_0_228,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| app(app(cons(X1,nil),X2),X3) = app(cons(X1,nil),app(X2,X3)) ),
inference(spm,[status(thm)],[c_0_194,c_0_83]) ).
cnf(c_0_229,negated_conjecture,
( ~ ssList(app(sk10,nil))
| app(sk9,app(app(cons(sk7,nil),app(app(sk10,nil),cons(sk8,nil))),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_52]),c_0_223])]) ).
cnf(c_0_230,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| nil != X2
| nil != X1
| app(X1,X2) = nil ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_231,negated_conjecture,
app(sk9,app(app(cons(sk7,nil),app(app(sk10,nil),cons(sk8,nil))),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_59]),c_0_48]),c_0_53])]) ).
cnf(c_0_232,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| nil != X2
| nil != X1
| app(X1,X2) = nil ),
c_0_230 ).
cnf(c_0_233,negated_conjecture,
( ~ ssList(app(sk10,nil))
| app(sk9,app(cons(sk7,app(sk10,nil)),app(cons(sk8,nil),sk11))) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_203]),c_0_52]),c_0_223]),c_0_62])]) ).
cnf(c_0_234,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_232])]),c_0_53])]) ).
cnf(c_0_235,plain,
( ~ ssList(X6)
| ~ strictorderedP(X6)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X5)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| lt(X2,X4) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_236,negated_conjecture,
app(sk9,app(cons(sk7,app(sk10,nil)),app(cons(sk8,nil),sk11))) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_59]),c_0_48]),c_0_53])]) ).
cnf(c_0_237,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| app(X1,app(X2,nil)) = app(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_46]),c_0_53])]),c_0_59]) ).
cnf(c_0_238,plain,
( ~ ssList(X1)
| ssList(app(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_234]),c_0_53])]) ).
cnf(c_0_239,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| X1 = X2
| lt(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_240,plain,
( ~ ssList(X6)
| ~ strictorderedP(X6)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X5)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| lt(X2,X4) ),
c_0_235 ).
cnf(c_0_241,negated_conjecture,
app(sk9,app(app(cons(sk7,sk10),nil),app(cons(sk8,nil),sk11))) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_159]),c_0_52]),c_0_53]),c_0_48])]) ).
cnf(c_0_242,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| app(app(X1,X2),X3) = app(X1,app(app(X2,nil),X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_237]),c_0_238]) ).
cnf(c_0_243,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| app(cons(X1,X2),X3) != nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_159]),c_0_59]) ).
cnf(c_0_244,plain,
( ~ ssItem(X2)
| ~ ssItem(X1)
| ~ lt(X2,X1)
| ~ lt(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_245,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| X1 = X2
| lt(X1,X2) ),
c_0_239 ).
cnf(c_0_246,negated_conjecture,
leq(sk8,sk7),
co1_19 ).
cnf(c_0_247,plain,
( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| lt(X1,X2) ),
inference(er,[status(thm)],[c_0_240]) ).
cnf(c_0_248,negated_conjecture,
( ~ ssList(cons(sk7,sk10))
| app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_47]),c_0_219])]) ).
cnf(c_0_249,negated_conjecture,
strictorderedP(sk3),
co1_10 ).
cnf(c_0_250,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_251,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| app(app(cons(X1,X2),X3),X4) != nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_159]),c_0_59]) ).
cnf(c_0_252,plain,
( ~ ssItem(X2)
| ~ ssItem(X1)
| ~ lt(X2,X1)
| ~ lt(X1,X2) ),
c_0_244 ).
cnf(c_0_253,negated_conjecture,
( lt(sk8,sk7)
| sk8 = sk7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_52]),c_0_56])]) ).
cnf(c_0_254,plain,
( ~ strictorderedP(app(app(X3,cons(X2,X4)),X1))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(app(app(X3,cons(X2,X4)),X1))
| ~ ssItem(X2)
| lt(X2,hd(X1))
| nil = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_177]),c_0_204]),c_0_205]) ).
cnf(c_0_255,negated_conjecture,
app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_51]),c_0_52]),c_0_48])]) ).
cnf(c_0_256,negated_conjecture,
strictorderedP(sk1),
inference(rw,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_257,negated_conjecture,
app(cons(sk8,nil),sk11) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_190]),c_0_56]),c_0_53]),c_0_62])]) ).
cnf(c_0_258,negated_conjecture,
( ~ lt(sk7,sk8)
| sk8 = sk7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_56]),c_0_52])]) ).
cnf(c_0_259,negated_conjecture,
lt(sk7,sk8),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_212]),c_0_52]),c_0_96]),c_0_48]),c_0_47]),c_0_219]),c_0_256])]),c_0_257]) ).
cnf(c_0_260,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_261,negated_conjecture,
sk8 = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_259])]) ).
cnf(c_0_262,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
c_0_260 ).
cnf(c_0_263,negated_conjecture,
lt(sk7,sk7),
inference(rw,[status(thm)],[c_0_259,c_0_261]) ).
cnf(c_0_264,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC161-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.70 % Computer : n013.cluster.edu
% 0.21/0.70 % Model : x86_64 x86_64
% 0.21/0.70 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.70 % Memory : 8046.5625MB
% 0.21/0.70 % OS : Linux 6.8.0-71-generic
% 0.21/0.70 % CPULimit : 300
% 0.21/0.70 % WCLimit : 300
% 0.21/0.70 % DateTime : Mon Sep 21 08:00:09 UTC 2026
% 0.21/0.71 % CPUTime :
% 0.21/0.71 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.78 Running first-order theorem proving
% 0.21/0.78 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/benchmark/theBenchmark.p
% 169.10/25.87 % Version: 3.5.1
% 169.10/25.87 % Preprocessing class: FSLSSMSMSSSNFFN.
% 169.10/25.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 169.10/25.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 169.10/25.87 % Starting new_bool_3 with 300s (1) cores
% 169.10/25.87 % Starting new_bool_1 with 300s (1) cores
% 169.10/25.87 % Starting sh5l with 300s (1) cores
% 169.10/25.87 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 319284 completed with status 0
% 169.10/25.87 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 169.10/25.87 % Preprocessing class: FSLSSMSMSSSNFFN.
% 169.10/25.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 169.10/25.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 169.10/25.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 169.10/25.87 % No SInE strategy applied
% 169.10/25.87 % Search class: FGHSM-FSLM21-MFFFFFNN
% 169.10/25.87 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 169.10/25.87 % Starting SubtermCWHack with 136s (1) cores
% 169.10/25.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 169.10/25.87 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 169.10/25.87 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 169.10/25.87 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 169.10/25.87 % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 319293 completed with status 0
% 169.10/25.87 % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 169.10/25.87 % Preprocessing class: FSLSSMSMSSSNFFN.
% 169.10/25.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 169.10/25.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 169.10/25.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 169.10/25.87 % No SInE strategy applied
% 169.10/25.87 % Search class: FGHSM-FSLM21-MFFFFFNN
% 169.10/25.87 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 169.10/25.87 % Starting SubtermCWHack with 136s (1) cores
% 169.10/25.87 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 169.10/25.87 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 169.10/25.87 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 169.10/25.87 % Preprocessing time : 0.005 s
% 169.10/25.87
% 169.10/25.87 % Proof found!
% 169.10/25.87 % SZS status Unsatisfiable
% 169.10/25.87 % SZS output start CNFRefutation
% See solution above
% 169.10/25.87 % Parsed axioms : 208
% 169.10/25.87 % Removed by relevancy pruning/SinE : 0
% 169.10/25.87 % Initial clauses : 208
% 169.10/25.87 % Removed in clause preprocessing : 0
% 169.10/25.87 % Initial clauses in saturation : 208
% 169.10/25.87 % Processed clauses : 40202
% 169.10/25.87 % ...of these trivial : 490
% 169.10/25.87 % ...subsumed : 30322
% 169.10/25.87 % ...remaining for further processing : 9390
% 169.10/25.87 % Other redundant clauses eliminated : 3572
% 169.10/25.87 % Clauses deleted for lack of memory : 0
% 169.10/25.87 % Backward-subsumed : 1320
% 169.10/25.87 % Backward-rewritten : 1746
% 169.10/25.87 % Generated clauses : 622084
% 169.10/25.87 % ...of the previous two non-redundant : 605935
% 169.10/25.87 % ...aggressively subsumed : 0
% 169.10/25.87 % Contextual simplify-reflections : 2086
% 169.10/25.87 % Paramodulations : 618406
% 169.10/25.87 % Factorizations : 0
% 169.10/25.87 % NegExts : 0
% 169.10/25.87 % Equation resolutions : 3631
% 169.10/25.87 % Disequality decompositions : 0
% 169.10/25.87 % Total rewrite steps : 553862
% 169.10/25.87 % ...of those cached : 551391
% 169.10/25.87 % Propositional unsat checks : 0
% 169.10/25.87 % Propositional check models : 0
% 169.10/25.87 % Propositional check unsatisfiable : 0
% 169.10/25.87 % Propositional clauses : 0
% 169.10/25.87 % Propositional clauses after purity: 0
% 169.10/25.87 % Propositional unsat core size : 0
% 169.10/25.87 % Propositional preprocessing time : 0.000
% 169.10/25.87 % Propositional encoding time : 0.000
% 169.10/25.87 % Propositional solver time : 0.000
% 169.10/25.87 % Success case prop preproc time : 0.000
% 169.10/25.87 % Success case prop encoding time : 0.000
% 169.10/25.87 % Success case prop solver time : 0.000
% 169.10/25.87 % Current number of processed clauses : 6253
% 169.10/25.87 % Positive orientable unit clauses : 357
% 169.10/25.87 % Positive unorientable unit clauses: 0
% 169.10/25.87 % Negative unit clauses : 366
% 169.10/25.87 % Non-unit-clauses : 5530
% 169.10/25.87 % Current number of unprocessed clauses: 562806
% 169.10/25.87 % ...number of literals in the above : 3936042
% 169.10/25.87 % Current number of archived formulas : 0
% 169.10/25.87 % Current number of archived clauses : 3114
% 169.10/25.87 % Clause-clause subsumption calls (NU) : 13830033
% 169.10/25.87 % Rec. Clause-clause subsumption calls : 3654795
% 169.10/25.87 % Non-unit clause-clause subsumptions : 23547
% 169.10/25.87 % Unit Clause-clause subsumption calls : 424699
% 169.10/25.87 % Rewrite failures with RHS unbound : 0
% 169.10/25.87 % BW rewrite match attempts : 532
% 169.10/25.87 % BW rewrite match successes : 234
% 169.10/25.87 % Condensation attempts : 0
% 169.10/25.87 % Condensation successes : 0
% 169.10/25.87 % Termbank termtop insertions : 16834385
% 169.10/25.87 % Search garbage collected termcells : 562
% 169.10/25.87
% 169.10/25.87 % -------------------------------------------------
% 169.10/25.87 % User time : 22.907 s
% 169.10/25.87 % System time : 0.589 s
% 169.10/25.87 % Total time : 23.496 s
% 169.10/25.87 % Maximum resident set size: 4076 pages
% 169.10/25.87
% 169.10/25.87 % -------------------------------------------------
% 169.10/25.87 % User time : 115.360 s
% 169.10/25.87 % System time : 4.038 s
% 169.10/25.87 % Total time : 119.399 s
% 169.10/25.87 % Maximum resident set size: 4864 pages
% 169.10/25.87 % E exiting
%------------------------------------------------------------------------------