TSTP Solution File: SWC413-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC413-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:22:24 EDT 2023
% Result : Unsatisfiable 111.97s 112.14s
% Output : CNFRefutation 111.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 139
% Syntax : Number of formulae : 292 ( 58 unt; 81 typ; 0 def)
% Number of atoms : 542 ( 184 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 603 ( 272 ~; 331 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 16 con; 0-2 aty)
% Number of variables : 191 ( 7 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
nil: $i ).
tff(decl_23,type,
equalelemsP: $i > $o ).
tff(decl_24,type,
duplicatefreeP: $i > $o ).
tff(decl_25,type,
strictorderedP: $i > $o ).
tff(decl_26,type,
totalorderedP: $i > $o ).
tff(decl_27,type,
strictorderP: $i > $o ).
tff(decl_28,type,
totalorderP: $i > $o ).
tff(decl_29,type,
cyclefreeP: $i > $o ).
tff(decl_30,type,
ssList: $i > $o ).
tff(decl_31,type,
skac3: $i ).
tff(decl_32,type,
ssItem: $i > $o ).
tff(decl_33,type,
skac2: $i ).
tff(decl_34,type,
singletonP: $i > $o ).
tff(decl_35,type,
skaf83: $i > $i ).
tff(decl_36,type,
skaf82: $i > $i ).
tff(decl_37,type,
skaf81: $i > $i ).
tff(decl_38,type,
skaf80: $i > $i ).
tff(decl_39,type,
skaf79: $i > $i ).
tff(decl_40,type,
skaf78: $i > $i ).
tff(decl_41,type,
skaf77: $i > $i ).
tff(decl_42,type,
skaf76: $i > $i ).
tff(decl_43,type,
skaf75: $i > $i ).
tff(decl_44,type,
skaf74: $i > $i ).
tff(decl_45,type,
skaf73: $i > $i ).
tff(decl_46,type,
skaf72: $i > $i ).
tff(decl_47,type,
skaf71: $i > $i ).
tff(decl_48,type,
skaf70: $i > $i ).
tff(decl_49,type,
skaf69: $i > $i ).
tff(decl_50,type,
skaf68: $i > $i ).
tff(decl_51,type,
skaf67: $i > $i ).
tff(decl_52,type,
skaf66: $i > $i ).
tff(decl_53,type,
skaf65: $i > $i ).
tff(decl_54,type,
skaf64: $i > $i ).
tff(decl_55,type,
skaf63: $i > $i ).
tff(decl_56,type,
skaf62: $i > $i ).
tff(decl_57,type,
skaf61: $i > $i ).
tff(decl_58,type,
skaf60: $i > $i ).
tff(decl_59,type,
skaf59: $i > $i ).
tff(decl_60,type,
skaf58: $i > $i ).
tff(decl_61,type,
skaf57: $i > $i ).
tff(decl_62,type,
skaf56: $i > $i ).
tff(decl_63,type,
skaf55: $i > $i ).
tff(decl_64,type,
skaf54: $i > $i ).
tff(decl_65,type,
skaf53: $i > $i ).
tff(decl_66,type,
skaf52: $i > $i ).
tff(decl_67,type,
skaf51: $i > $i ).
tff(decl_68,type,
skaf50: $i > $i ).
tff(decl_69,type,
skaf49: $i > $i ).
tff(decl_70,type,
skaf44: $i > $i ).
tff(decl_71,type,
skaf48: ( $i * $i ) > $i ).
tff(decl_72,type,
skaf47: ( $i * $i ) > $i ).
tff(decl_73,type,
skaf46: ( $i * $i ) > $i ).
tff(decl_74,type,
skaf45: ( $i * $i ) > $i ).
tff(decl_75,type,
skaf43: ( $i * $i ) > $i ).
tff(decl_76,type,
skaf42: ( $i * $i ) > $i ).
tff(decl_77,type,
geq: ( $i * $i ) > $o ).
tff(decl_78,type,
segmentP: ( $i * $i ) > $o ).
tff(decl_79,type,
rearsegP: ( $i * $i ) > $o ).
tff(decl_80,type,
frontsegP: ( $i * $i ) > $o ).
tff(decl_81,type,
leq: ( $i * $i ) > $o ).
tff(decl_82,type,
lt: ( $i * $i ) > $o ).
tff(decl_83,type,
cons: ( $i * $i ) > $i ).
tff(decl_84,type,
memberP: ( $i * $i ) > $o ).
tff(decl_85,type,
app: ( $i * $i ) > $i ).
tff(decl_86,type,
tl: $i > $i ).
tff(decl_87,type,
hd: $i > $i ).
tff(decl_88,type,
neq: ( $i * $i ) > $o ).
tff(decl_89,type,
gt: ( $i * $i ) > $o ).
tff(decl_90,type,
sk1: $i ).
tff(decl_91,type,
sk2: $i ).
tff(decl_92,type,
sk3: $i ).
tff(decl_93,type,
sk4: $i ).
tff(decl_94,type,
sk11: $i ).
tff(decl_95,type,
sk12: $i ).
tff(decl_96,type,
sk13: $i ).
tff(decl_97,type,
sk5: $i ).
tff(decl_98,type,
sk6: $i ).
tff(decl_99,type,
sk7: $i ).
tff(decl_100,type,
sk8: $i ).
tff(decl_101,type,
sk9: $i ).
tff(decl_102,type,
sk10: $i ).
cnf(co1_15,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_36,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).
cnf(co1_34,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).
cnf(co1_24,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
cnf(co1_30,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).
cnf(co1_27,negated_conjecture,
( ssItem(sk5)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
cnf(co1_32,negated_conjecture,
( ssItem(sk6)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).
cnf(co1_35,negated_conjecture,
( ssList(sk7)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).
cnf(co1_12,negated_conjecture,
( ssItem(sk5)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_26,negated_conjecture,
( ssItem(sk5)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
cnf(co1_21,negated_conjecture,
( ssItem(sk5)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
cnf(co1_25,negated_conjecture,
( ssItem(sk5)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
cnf(co1_13,negated_conjecture,
( ssItem(sk6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_31,negated_conjecture,
( ssItem(sk6)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).
cnf(co1_22,negated_conjecture,
( ssItem(sk6)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
cnf(co1_28,negated_conjecture,
( ssItem(sk6)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
cnf(co1_14,negated_conjecture,
( ssList(sk7)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_33,negated_conjecture,
( ssList(sk7)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).
cnf(co1_23,negated_conjecture,
( ssList(sk7)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
cnf(co1_29,negated_conjecture,
( ssList(sk7)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).
cnf(co1_44,negated_conjecture,
( ssItem(sk8)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_19,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(co1_16,negated_conjecture,
( ssItem(sk8)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_43,negated_conjecture,
( ssItem(sk8)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).
cnf(co1_37,negated_conjecture,
( ssItem(sk8)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).
cnf(co1_42,negated_conjecture,
( ssItem(sk8)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).
cnf(co1_50,negated_conjecture,
( ssItem(sk9)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_20,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_54,negated_conjecture,
( ssList(sk10)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).
cnf(co1_17,negated_conjecture,
( ssItem(sk9)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_49,negated_conjecture,
( ssItem(sk9)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).
cnf(co1_38,negated_conjecture,
( ssItem(sk9)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).
cnf(co1_45,negated_conjecture,
( ssItem(sk9)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(co1_11,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_18,negated_conjecture,
( ssList(sk10)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_51,negated_conjecture,
( ssList(sk10)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).
cnf(co1_39,negated_conjecture,
( ssList(sk10)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).
cnf(co1_46,negated_conjecture,
( ssList(sk10)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk11)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_9,negated_conjecture,
( ssItem(sk12)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_10,negated_conjecture,
( ssList(sk13)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(clause179,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_7,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_0_58,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_15 ).
cnf(c_0_59,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_60,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_36 ).
cnf(c_0_61,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssList(sk13) ),
co1_34 ).
cnf(c_0_62,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk11) ),
co1_24 ).
cnf(c_0_63,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk12) ),
co1_30 ).
cnf(c_0_64,negated_conjecture,
( ssItem(sk5)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_27 ).
cnf(c_0_65,negated_conjecture,
( ssItem(sk6)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_32 ).
cnf(c_0_66,negated_conjecture,
( ssList(sk7)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_35 ).
cnf(c_0_67,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk4
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk4
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_59]),c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk4
| ssList(sk13) ),
inference(rw,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk4
| ssItem(sk11) ),
inference(rw,[status(thm)],[c_0_62,c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk4
| ssItem(sk12) ),
inference(rw,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_72,negated_conjecture,
( ssItem(sk5)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_12 ).
cnf(c_0_73,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| ssItem(sk5) ),
inference(rw,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_74,negated_conjecture,
( ssItem(sk5)
| ssList(sk13) ),
co1_26 ).
cnf(c_0_75,negated_conjecture,
( ssItem(sk5)
| ssItem(sk11) ),
co1_21 ).
cnf(c_0_76,negated_conjecture,
( ssItem(sk5)
| ssItem(sk12) ),
co1_25 ).
cnf(c_0_77,negated_conjecture,
( ssItem(sk6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_13 ).
cnf(c_0_78,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| ssItem(sk6) ),
inference(rw,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_79,negated_conjecture,
( ssItem(sk6)
| ssList(sk13) ),
co1_31 ).
cnf(c_0_80,negated_conjecture,
( ssItem(sk6)
| ssItem(sk11) ),
co1_22 ).
cnf(c_0_81,negated_conjecture,
( ssItem(sk6)
| ssItem(sk12) ),
co1_28 ).
cnf(c_0_82,negated_conjecture,
( ssList(sk7)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_14 ).
cnf(c_0_83,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| ssList(sk7) ),
inference(rw,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_84,negated_conjecture,
( ssList(sk7)
| ssList(sk13) ),
co1_33 ).
cnf(c_0_85,negated_conjecture,
( ssList(sk7)
| ssItem(sk11) ),
co1_23 ).
cnf(c_0_86,negated_conjecture,
( ssList(sk7)
| ssItem(sk12) ),
co1_29 ).
cnf(c_0_87,negated_conjecture,
( ssItem(sk8)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_44 ).
cnf(c_0_88,negated_conjecture,
app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk4,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_89,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_90,negated_conjecture,
ssItem(sk5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),c_0_76]) ).
cnf(c_0_91,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_19 ).
cnf(c_0_92,negated_conjecture,
ssItem(sk6),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_93,negated_conjecture,
ssList(sk7),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( ssItem(sk8)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_16 ).
cnf(c_0_95,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| ssItem(sk8) ),
inference(rw,[status(thm)],[c_0_87,c_0_59]) ).
cnf(c_0_96,negated_conjecture,
( ssItem(sk8)
| ssList(sk13) ),
co1_43 ).
cnf(c_0_97,negated_conjecture,
( ssItem(sk8)
| ssItem(sk11) ),
co1_37 ).
cnf(c_0_98,negated_conjecture,
( ssItem(sk8)
| ssItem(sk12) ),
co1_42 ).
cnf(c_0_99,negated_conjecture,
( ssItem(sk9)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_50 ).
cnf(c_0_100,negated_conjecture,
( app(cons(sk5,cons(sk6,nil)),sk7) = sk4
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_101,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_102,axiom,
ssList(nil),
clause8 ).
cnf(c_0_103,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_20 ).
cnf(c_0_104,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_105,negated_conjecture,
( ssList(sk10)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_54 ).
cnf(c_0_106,negated_conjecture,
app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_88]),c_0_92]),c_0_90]),c_0_93])]) ).
cnf(c_0_107,negated_conjecture,
ssItem(sk8),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]),c_0_98]) ).
cnf(c_0_108,negated_conjecture,
( ssItem(sk9)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_17 ).
cnf(c_0_109,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| ssItem(sk9) ),
inference(rw,[status(thm)],[c_0_99,c_0_59]) ).
cnf(c_0_110,negated_conjecture,
( ssItem(sk9)
| ssList(sk13) ),
co1_49 ).
cnf(c_0_111,negated_conjecture,
( ssItem(sk9)
| ssItem(sk11) ),
co1_38 ).
cnf(c_0_112,negated_conjecture,
( ssItem(sk9)
| ssItem(sk12) ),
co1_45 ).
cnf(c_0_113,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_114,negated_conjecture,
app(cons(sk5,cons(sk6,nil)),sk7) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_92]),c_0_102])]) ).
cnf(c_0_115,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
co1_11 ).
cnf(c_0_116,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_117,negated_conjecture,
( ssList(sk10)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4 ),
co1_18 ).
cnf(c_0_118,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| ssList(sk10) ),
inference(rw,[status(thm)],[c_0_105,c_0_59]) ).
cnf(c_0_119,negated_conjecture,
( ssList(sk10)
| ssList(sk13) ),
co1_51 ).
cnf(c_0_120,negated_conjecture,
( ssList(sk10)
| ssItem(sk11) ),
co1_39 ).
cnf(c_0_121,negated_conjecture,
( ssList(sk10)
| ssItem(sk12) ),
co1_46 ).
cnf(c_0_122,negated_conjecture,
( ssItem(sk11)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
co1_8 ).
cnf(c_0_123,negated_conjecture,
( app(cons(sk8,cons(sk9,nil)),sk10) = sk4
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_89]),c_0_107])]) ).
cnf(c_0_124,negated_conjecture,
ssItem(sk9),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_125,negated_conjecture,
( cons(sk5,app(cons(sk6,nil),sk7)) = sk4
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_90]),c_0_93])]) ).
cnf(c_0_126,negated_conjecture,
( app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk1
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk4
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_59]),c_0_59]) ).
cnf(c_0_127,negated_conjecture,
app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_88]),c_0_92]),c_0_90]),c_0_93])]) ).
cnf(c_0_128,negated_conjecture,
ssList(sk10),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]),c_0_121]) ).
cnf(c_0_129,negated_conjecture,
( ssItem(sk11)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk1
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk4
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_122,c_0_59]) ).
cnf(c_0_130,negated_conjecture,
( ssItem(sk12)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
co1_9 ).
cnf(c_0_131,negated_conjecture,
app(cons(sk8,cons(sk9,nil)),sk10) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_101]),c_0_124]),c_0_102])]) ).
cnf(c_0_132,negated_conjecture,
cons(sk5,app(cons(sk6,nil),sk7)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_101]),c_0_92]),c_0_102])]) ).
cnf(c_0_133,negated_conjecture,
app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk4,
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_126,c_0_127]),c_0_106]),c_0_124]),c_0_107]),c_0_128])]) ).
cnf(c_0_134,negated_conjecture,
ssItem(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_129,c_0_127]),c_0_106]),c_0_124]),c_0_107]),c_0_128])]) ).
cnf(c_0_135,negated_conjecture,
( ssItem(sk12)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk1
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk4
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_130,c_0_59]) ).
cnf(c_0_136,negated_conjecture,
( ssList(sk13)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1 ),
co1_10 ).
cnf(c_0_137,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_138,negated_conjecture,
( app(cons(sk9,cons(sk8,nil)),sk10) = sk1
| ~ ssList(cons(sk8,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_89]),c_0_124])]) ).
cnf(c_0_139,negated_conjecture,
( cons(sk8,app(cons(sk9,nil),sk10)) = sk4
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_131]),c_0_107]),c_0_128])]) ).
cnf(c_0_140,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97 ).
cnf(c_0_141,negated_conjecture,
cons(sk5,cons(sk6,sk7)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_89]),c_0_92]),c_0_93])]) ).
cnf(c_0_142,negated_conjecture,
( app(cons(sk11,cons(sk12,nil)),sk13) = sk4
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_89]),c_0_134])]) ).
cnf(c_0_143,negated_conjecture,
ssItem(sk12),
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_135,c_0_127]),c_0_106]),c_0_124]),c_0_107]),c_0_128])]) ).
cnf(c_0_144,negated_conjecture,
( ssList(sk13)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk1
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk4
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_136,c_0_59]) ).
cnf(c_0_145,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_137]) ).
cnf(c_0_146,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_147,negated_conjecture,
app(cons(sk9,cons(sk8,nil)),sk10) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_101]),c_0_107]),c_0_102])]) ).
cnf(c_0_148,negated_conjecture,
cons(sk8,app(cons(sk9,nil),sk10)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_101]),c_0_124]),c_0_102])]) ).
cnf(c_0_149,negated_conjecture,
( hd(sk4) = sk5
| ~ ssList(cons(sk6,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_90])]) ).
cnf(c_0_150,negated_conjecture,
app(cons(sk11,cons(sk12,nil)),sk13) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_101]),c_0_143]),c_0_102])]) ).
cnf(c_0_151,negated_conjecture,
ssList(sk13),
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_144,c_0_127]),c_0_106]),c_0_124]),c_0_107]),c_0_128])]) ).
cnf(c_0_152,plain,
( ~ ssItem(X1)
| ~ ssList(app(cons(X1,X2),cons(X1,X3)))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ duplicatefreeP(app(cons(X1,X2),cons(X1,X3))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_102])]),c_0_101]) ).
cnf(c_0_153,negated_conjecture,
( cons(sk9,app(cons(sk8,nil),sk10)) = sk1
| ~ ssList(cons(sk8,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_147]),c_0_124]),c_0_128])]) ).
cnf(c_0_154,negated_conjecture,
cons(sk8,cons(sk9,sk10)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_89]),c_0_124]),c_0_128])]) ).
cnf(c_0_155,negated_conjecture,
hd(sk4) = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_101]),c_0_92]),c_0_93])]) ).
cnf(c_0_156,negated_conjecture,
( cons(sk11,app(cons(sk12,nil),sk13)) = sk4
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_150]),c_0_134]),c_0_151])]) ).
cnf(c_0_157,plain,
( ~ ssItem(X1)
| ~ ssList(cons(X1,cons(X1,X2)))
| ~ ssList(X2)
| ~ duplicatefreeP(cons(X1,cons(X1,X2))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_89]),c_0_102])]),c_0_101]) ).
cnf(c_0_158,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104 ).
cnf(c_0_159,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75 ).
cnf(c_0_160,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76 ).
cnf(c_0_161,negated_conjecture,
cons(sk9,app(cons(sk8,nil),sk10)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_101]),c_0_107]),c_0_102])]) ).
cnf(c_0_162,negated_conjecture,
( sk8 = sk5
| ~ ssList(cons(sk9,sk10)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_154]),c_0_107])]),c_0_155]) ).
cnf(c_0_163,negated_conjecture,
cons(sk11,app(cons(sk12,nil),sk13)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_101]),c_0_143]),c_0_102])]) ).
cnf(c_0_164,plain,
( nil = X1
| ~ ssList(X1)
| ~ duplicatefreeP(cons(hd(X1),X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_101]),c_0_160]) ).
cnf(c_0_165,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98 ).
cnf(c_0_166,negated_conjecture,
cons(sk9,cons(sk8,sk10)) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_89]),c_0_107]),c_0_128])]) ).
cnf(c_0_167,negated_conjecture,
sk8 = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_101]),c_0_124]),c_0_128])]) ).
cnf(c_0_168,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_169,negated_conjecture,
( sk11 = sk5
| ~ ssList(app(cons(sk12,nil),sk13)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_163]),c_0_155]),c_0_134])]) ).
cnf(c_0_170,plain,
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ duplicatefreeP(cons(X1,cons(X1,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_140]),c_0_101]),c_0_165]) ).
cnf(c_0_171,negated_conjecture,
cons(sk9,cons(sk5,sk10)) = sk1,
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,negated_conjecture,
( cons(sk5,sk10) = tl(sk1)
| ~ ssList(cons(sk5,sk10)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_166]),c_0_124])]),c_0_167]),c_0_167]) ).
cnf(c_0_173,negated_conjecture,
( sk11 = sk5
| ~ ssList(cons(sk12,sk13)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_89]),c_0_143]),c_0_151])]) ).
cnf(c_0_174,negated_conjecture,
( ~ ssList(cons(sk5,sk10))
| ~ duplicatefreeP(cons(sk9,sk1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_124])]) ).
cnf(c_0_175,negated_conjecture,
cons(sk5,sk10) = tl(sk1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_101]),c_0_90]),c_0_128])]) ).
cnf(c_0_176,negated_conjecture,
sk11 = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_101]),c_0_143]),c_0_151])]) ).
cnf(c_0_177,negated_conjecture,
( ~ ssList(tl(sk1))
| ~ duplicatefreeP(cons(sk9,sk1)) ),
inference(rw,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_178,negated_conjecture,
ssList(tl(sk1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_175]),c_0_90]),c_0_128])]) ).
cnf(c_0_179,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72 ).
cnf(c_0_180,negated_conjecture,
cons(sk5,app(cons(sk12,nil),sk13)) = sk4,
inference(rw,[status(thm)],[c_0_163,c_0_176]) ).
cnf(c_0_181,negated_conjecture,
~ duplicatefreeP(cons(sk9,sk1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).
cnf(c_0_182,plain,
( ssItem(X1)
| duplicatefreeP(cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[c_0_179,c_0_101]) ).
cnf(c_0_183,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_184,negated_conjecture,
cons(sk5,cons(sk9,sk10)) = sk4,
inference(rw,[status(thm)],[c_0_154,c_0_167]) ).
cnf(c_0_185,negated_conjecture,
( cons(sk6,sk7) = tl(sk4)
| ~ ssList(cons(sk6,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_141]),c_0_90])]) ).
cnf(c_0_186,negated_conjecture,
cons(sk5,cons(sk12,sk13)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_89]),c_0_143]),c_0_151])]) ).
cnf(c_0_187,negated_conjecture,
ssItem(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_124]),c_0_183])]) ).
cnf(c_0_188,negated_conjecture,
( cons(sk9,sk10) = tl(sk4)
| ~ ssList(cons(sk9,sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_184]),c_0_90])]) ).
cnf(c_0_189,negated_conjecture,
cons(sk6,sk7) = tl(sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_101]),c_0_92]),c_0_93])]) ).
cnf(c_0_190,negated_conjecture,
( cons(sk12,sk13) = tl(sk4)
| ~ ssList(cons(sk12,sk13)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_186]),c_0_90])]) ).
cnf(c_0_191,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_187])]) ).
cnf(c_0_192,negated_conjecture,
cons(sk9,sk10) = tl(sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_101]),c_0_124]),c_0_128])]) ).
cnf(c_0_193,negated_conjecture,
hd(tl(sk4)) = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_189]),c_0_92]),c_0_93])]) ).
cnf(c_0_194,negated_conjecture,
cons(sk12,sk13) = tl(sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_101]),c_0_143]),c_0_151])]) ).
cnf(c_0_195,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk1
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != sk4 ),
co1_7 ).
cnf(c_0_196,negated_conjecture,
sk9 = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_128])]) ).
cnf(c_0_197,negated_conjecture,
sk12 = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_194]),c_0_193]),c_0_151])]) ).
cnf(c_0_198,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4
| app(app(cons(X4,nil),cons(X5,nil)),X6) != sk1
| app(app(cons(X5,nil),cons(X4,nil)),X6) != sk4
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X3)
| ~ ssList(X6) ),
inference(rw,[status(thm)],[c_0_195,c_0_59]) ).
cnf(c_0_199,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_187])]) ).
cnf(c_0_200,negated_conjecture,
cons(sk6,sk10) = tl(sk4),
inference(rw,[status(thm)],[c_0_192,c_0_196]) ).
cnf(c_0_201,negated_conjecture,
tl(tl(sk4)) = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_189]),c_0_92]),c_0_93])]) ).
cnf(c_0_202,negated_conjecture,
cons(sk6,sk13) = tl(sk4),
inference(rw,[status(thm)],[c_0_194,c_0_197]) ).
cnf(c_0_203,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != sk4
| app(app(cons(X4,nil),cons(X5,nil)),X6) != sk1
| app(app(cons(X5,nil),cons(X4,nil)),X6) != sk4
| ~ ssList(X3)
| ~ ssList(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_187]),c_0_187]),c_0_187]),c_0_187])]) ).
cnf(c_0_204,negated_conjecture,
app(app(cons(sk9,nil),cons(sk5,nil)),sk10) = sk1,
inference(spm,[status(thm)],[c_0_127,c_0_167]) ).
cnf(c_0_205,negated_conjecture,
sk10 = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_128])]) ).
cnf(c_0_206,negated_conjecture,
sk7 = sk13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_202]),c_0_201]),c_0_151])]) ).
cnf(c_0_207,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != sk1
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk4
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_133]),c_0_151])]) ).
cnf(c_0_208,negated_conjecture,
app(app(cons(sk6,nil),cons(sk5,nil)),sk13) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_196]),c_0_205]),c_0_206]) ).
cnf(c_0_209,negated_conjecture,
app(app(cons(sk5,nil),cons(sk6,nil)),sk13) = sk4,
inference(rw,[status(thm)],[c_0_88,c_0_206]) ).
cnf(c_0_210,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_151])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWC413-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Aug 28 18:21:00 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.48 start to proof: theBenchmark
% 111.97/112.14 % Version : CSE_E---1.5
% 111.97/112.14 % Problem : theBenchmark.p
% 111.97/112.14 % Proof found
% 111.97/112.14 % SZS status Theorem for theBenchmark.p
% 111.97/112.14 % SZS output start Proof
% See solution above
% 111.97/112.15 % Total time : 111.542000 s
% 111.97/112.15 % SZS output end Proof
% 111.97/112.15 % Total time : 111.550000 s
%------------------------------------------------------------------------------