TSTP Solution File: SWC295-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC295-1 : 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 : n006.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 20:21:26 EDT 2023
% Result : Unsatisfiable 0.54s 1.22s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 145
% Syntax : Number of formulae : 393 ( 79 unt; 77 typ; 0 def)
% Number of atoms : 832 ( 301 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 956 ( 440 ~; 516 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 58 ( 58 usr; 12 con; 0-2 aty)
% Number of variables : 345 ( 38 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,
sk5: $i ).
tff(decl_95,type,
sk6: $i ).
tff(decl_96,type,
sk7: $i ).
tff(decl_97,type,
sk8: $i ).
tff(decl_98,type,
sk9: $i ).
cnf(co1_10,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_8,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_9,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_7,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
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(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(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(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause144,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(clause53,axiom,
ssList(skaf42(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause143,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(clause161,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(clause132,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(co1_21,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
cnf(co1_17,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(clause150,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(clause136,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause136) ).
cnf(clause58,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause123,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause131,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause61,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
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(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause171,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
cnf(clause151,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(clause133,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause138,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(clause174,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause137,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
cnf(clause60,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(clause84,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause181,axiom,
( lt(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderedP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).
cnf(clause169,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(clause183,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause183) ).
cnf(co1_12,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(clause52,axiom,
ssList(skaf43(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(co1_14,negated_conjecture,
( memberP(sk7,sk8)
| ~ lt(sk8,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_22,negated_conjecture,
( memberP(sk4,sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
cnf(clause63,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(clause66,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
cnf(co1_18,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_16,negated_conjecture,
( ssItem(sk9)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(clause68,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause68) ).
cnf(c_0_68,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
co1_10 ).
cnf(c_0_69,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_70,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_72,negated_conjecture,
ssList(sk6),
co1_8 ).
cnf(c_0_73,negated_conjecture,
ssList(sk7),
co1_9 ).
cnf(c_0_74,negated_conjecture,
( app(sk6,app(cons(sk5,nil),sk7)) = sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_75,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_76,negated_conjecture,
ssItem(sk5),
co1_7 ).
cnf(c_0_77,axiom,
ssList(nil),
clause8 ).
cnf(c_0_78,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_79,negated_conjecture,
app(sk6,app(cons(sk5,nil),sk7)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_80,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_81,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_78]) ).
cnf(c_0_82,negated_conjecture,
app(sk6,cons(sk5,sk7)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_76]),c_0_73])]) ).
cnf(c_0_83,negated_conjecture,
( ~ ssList(app(sk3,cons(sk5,X1)))
| ~ ssList(X1)
| ~ duplicatefreeP(app(sk3,cons(sk5,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_76]),c_0_73]),c_0_72])]) ).
cnf(c_0_84,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72 ).
cnf(c_0_85,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_86,negated_conjecture,
( ssItem(X1)
| ~ ssList(app(sk3,cons(sk5,X2)))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_88,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_85,c_0_69]) ).
cnf(c_0_89,negated_conjecture,
( ssItem(X1)
| ~ ssList(cons(sk5,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_90,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144 ).
cnf(c_0_91,negated_conjecture,
( ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_75]),c_0_76])]) ).
cnf(c_0_92,axiom,
ssList(skaf42(X1,X2)),
clause53 ).
cnf(c_0_93,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143 ).
cnf(c_0_94,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_87]) ).
cnf(c_0_95,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161 ).
cnf(c_0_96,negated_conjecture,
ssItem(X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71 ).
cnf(c_0_98,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175 ).
cnf(c_0_99,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_87]) ).
cnf(c_0_100,negated_conjecture,
( frontsegP(sk3,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_82]),c_0_72])]) ).
cnf(c_0_101,plain,
( X1 = X2
| memberP(X3,X2)
| ~ memberP(cons(X1,X3),X2)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96]),c_0_96])]) ).
cnf(c_0_102,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101 ).
cnf(c_0_103,plain,
~ memberP(nil,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_96])]) ).
cnf(c_0_104,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_98]) ).
cnf(c_0_105,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116 ).
cnf(c_0_106,negated_conjecture,
( rearsegP(sk3,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_70]),c_0_73])]) ).
cnf(c_0_107,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132 ).
cnf(c_0_108,negated_conjecture,
frontsegP(sk3,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_75]),c_0_76]),c_0_73])]) ).
cnf(c_0_109,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97 ).
cnf(c_0_110,plain,
( skaf44(X1) = X2
| ~ memberP(X1,X2)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_77])]),c_0_103]) ).
cnf(c_0_111,negated_conjecture,
memberP(sk3,sk5),
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_104,c_0_82]),c_0_76]),c_0_88]),c_0_73]),c_0_72])]) ).
cnf(c_0_112,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_105]) ).
cnf(c_0_113,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
co1_21 ).
cnf(c_0_114,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
co1_17 ).
cnf(c_0_115,negated_conjecture,
( rearsegP(sk3,sk7)
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_87]),c_0_72])]) ).
cnf(c_0_116,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150 ).
cnf(c_0_117,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause136 ).
cnf(c_0_118,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58 ).
cnf(c_0_119,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause123 ).
cnf(c_0_120,negated_conjecture,
app(sk6,skaf45(sk3,sk6)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_72]),c_0_88])]) ).
cnf(c_0_121,axiom,
ssList(skaf45(X1,X2)),
clause51 ).
cnf(c_0_122,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_96])]) ).
cnf(c_0_123,negated_conjecture,
( skaf44(sk3) = sk5
| ~ singletonP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_88])]) ).
cnf(c_0_124,negated_conjecture,
( sk3 = nil
| singletonP(sk3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_88])]),c_0_114]) ).
cnf(c_0_125,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131 ).
cnf(c_0_126,negated_conjecture,
rearsegP(sk3,sk7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_127,negated_conjecture,
( app(cons(sk5,nil),sk7) = X1
| app(sk6,X1) != sk3
| ~ ssList(app(cons(sk5,nil),sk7))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_79]),c_0_72])]) ).
cnf(c_0_128,plain,
( rearsegP(app(X1,X2),nil)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_77])]) ).
cnf(c_0_129,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_96])]) ).
cnf(c_0_130,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104 ).
cnf(c_0_131,negated_conjecture,
( hd(sk6) = hd(sk3)
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_72]),c_0_121])]) ).
cnf(c_0_132,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_133,plain,
( skaf44(X1) = hd(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_102]),c_0_77])]) ).
cnf(c_0_134,negated_conjecture,
( skaf44(sk3) = sk5
| sk3 = nil ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_135,negated_conjecture,
app(skaf46(sk3,sk7),sk7) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_73]),c_0_88])]) ).
cnf(c_0_136,axiom,
ssList(skaf46(X1,X2)),
clause50 ).
cnf(c_0_137,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
clause61 ).
cnf(c_0_138,negated_conjecture,
( app(cons(sk5,nil),sk7) = cons(sk5,sk7)
| ~ ssList(app(cons(sk5,nil),sk7))
| ~ ssList(cons(sk5,sk7)) ),
inference(spm,[status(thm)],[c_0_127,c_0_82]) ).
cnf(c_0_139,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_96])]) ).
cnf(c_0_140,plain,
( rearsegP(cons(X1,X2),nil)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_141,negated_conjecture,
( cons(hd(sk3),tl(sk6)) = sk6
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_72])]) ).
cnf(c_0_142,negated_conjecture,
( hd(sk3) = sk9
| sk3 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_113]),c_0_77])]),c_0_114]) ).
cnf(c_0_143,negated_conjecture,
( sk6 = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_120]),c_0_121]),c_0_72])]) ).
cnf(c_0_144,negated_conjecture,
( hd(sk3) = sk5
| sk3 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_88])]),c_0_124]) ).
cnf(c_0_145,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73 ).
cnf(c_0_146,negated_conjecture,
( app(skaf46(sk3,sk7),app(sk7,X1)) = app(sk3,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_135]),c_0_136]),c_0_73])]) ).
cnf(c_0_147,plain,
( app(X1,skaf45(X1,X1)) = X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_137]) ).
cnf(c_0_148,negated_conjecture,
( app(cons(sk5,nil),sk7) = cons(sk5,sk7)
| ~ ssList(app(cons(sk5,nil),sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_73])]) ).
cnf(c_0_149,plain,
( rearsegP(cons(X1,X2),nil)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_139]),c_0_77])]) ).
cnf(c_0_150,negated_conjecture,
( cons(sk9,tl(sk6)) = sk6
| sk6 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_151,negated_conjecture,
( cons(sk5,tl(sk6)) = sk6
| sk6 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_144]),c_0_143]) ).
cnf(c_0_152,plain,
( X1 = nil
| app(X2,X1) != X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_145]),c_0_77])]) ).
cnf(c_0_153,negated_conjecture,
app(sk3,skaf45(sk7,sk7)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_135]),c_0_121]),c_0_73])]) ).
cnf(c_0_154,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_155,negated_conjecture,
( app(cons(sk5,nil),sk7) = cons(sk5,sk7)
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_87]),c_0_73])]) ).
cnf(c_0_156,negated_conjecture,
( sk6 = nil
| rearsegP(sk6,nil)
| ~ ssList(tl(sk6)) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_157,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75 ).
cnf(c_0_158,negated_conjecture,
( hd(sk6) = sk9
| sk6 = nil
| ~ ssList(tl(sk6)) ),
inference(spm,[status(thm)],[c_0_122,c_0_150]) ).
cnf(c_0_159,negated_conjecture,
( hd(sk6) = sk5
| sk6 = nil
| ~ ssList(tl(sk6)) ),
inference(spm,[status(thm)],[c_0_122,c_0_151]) ).
cnf(c_0_160,negated_conjecture,
skaf45(sk7,sk7) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_121]),c_0_88])]) ).
cnf(c_0_161,plain,
( app(nil,app(X1,X2)) = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_154]),c_0_77])]) ).
cnf(c_0_162,negated_conjecture,
app(cons(sk5,nil),sk7) = cons(sk5,sk7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_139]),c_0_77])]) ).
cnf(c_0_163,negated_conjecture,
( sk6 = nil
| rearsegP(sk6,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_72])]) ).
cnf(c_0_164,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_165,negated_conjecture,
( hd(sk6) = sk9
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_157]),c_0_72])]) ).
cnf(c_0_166,negated_conjecture,
( hd(sk6) = sk5
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_157]),c_0_72])]) ).
cnf(c_0_167,negated_conjecture,
app(sk7,nil) = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_160]),c_0_73])]) ).
cnf(c_0_168,negated_conjecture,
( app(nil,cons(sk5,sk7)) = cons(sk5,sk7)
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_73])]) ).
cnf(c_0_169,negated_conjecture,
( sk3 = nil
| sk9 = X1
| ~ memberP(sk3,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_113]),c_0_77])]),c_0_103]) ).
cnf(c_0_170,negated_conjecture,
( app(skaf46(sk6,nil),nil) = sk6
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_163]),c_0_77]),c_0_72])]) ).
cnf(c_0_171,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98 ).
cnf(c_0_172,negated_conjecture,
app(sk6,cons(sk5,app(nil,sk7))) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_164]),c_0_76]),c_0_73]),c_0_77])]) ).
cnf(c_0_173,negated_conjecture,
( sk6 = nil
| sk5 = sk9 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_174,negated_conjecture,
app(nil,sk7) = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_167]),c_0_73]),c_0_77])]) ).
cnf(c_0_175,negated_conjecture,
app(nil,cons(sk5,sk7)) = cons(sk5,sk7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_139]),c_0_77])]) ).
cnf(c_0_176,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171 ).
cnf(c_0_177,negated_conjecture,
( sk5 = sk9
| sk3 = nil ),
inference(spm,[status(thm)],[c_0_169,c_0_111]) ).
cnf(c_0_178,plain,
( app(skaf46(X1,nil),nil) = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_118]),c_0_77])]) ).
cnf(c_0_179,negated_conjecture,
( skaf46(sk6,nil) = sk6
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_170]),c_0_136])]) ).
cnf(c_0_180,plain,
( cons(X1,X2) != nil
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_96])]) ).
cnf(c_0_181,negated_conjecture,
( cons(sk5,sk7) = sk3
| sk5 = sk9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]) ).
cnf(c_0_182,negated_conjecture,
( ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_162]),c_0_73])]) ).
cnf(c_0_183,plain,
( X1 = X2
| cons(X3,X1) != cons(X4,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_96]),c_0_96])]) ).
cnf(c_0_184,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151 ).
cnf(c_0_185,negated_conjecture,
( app(app(sk6,cons(sk9,nil)),sk7) = sk3
| sk3 = nil ),
inference(spm,[status(thm)],[c_0_70,c_0_177]) ).
cnf(c_0_186,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133 ).
cnf(c_0_187,negated_conjecture,
( app(sk6,nil) = sk6
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_72])]) ).
cnf(c_0_188,negated_conjecture,
sk5 = sk9,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_73])]),c_0_177]) ).
cnf(c_0_189,negated_conjecture,
ssList(cons(sk5,sk7)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_139]),c_0_77])]) ).
cnf(c_0_190,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause138 ).
cnf(c_0_191,negated_conjecture,
( sk3 = nil
| X1 = nil
| cons(X2,X1) != sk3
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_113]),c_0_77])]) ).
cnf(c_0_192,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109 ).
cnf(c_0_193,axiom,
ssList(skaf82(X1)),
clause13 ).
cnf(c_0_194,negated_conjecture,
( X1 = app(sk6,cons(sk5,nil))
| app(X1,sk7) != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_70]),c_0_73])]) ).
cnf(c_0_195,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk3
| sk3 = nil ),
inference(spm,[status(thm)],[c_0_185,c_0_113]) ).
cnf(c_0_196,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause174 ).
cnf(c_0_197,plain,
( nil = X1
| ssList(app(tl(X1),X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_186]),c_0_87]),c_0_132]) ).
cnf(c_0_198,negated_conjecture,
( app(tl(sk6),nil) = tl(sk6)
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_72]),c_0_77])]) ).
cnf(c_0_199,plain,
( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_119]),c_0_87]),c_0_132]) ).
cnf(c_0_200,negated_conjecture,
app(sk6,cons(sk9,sk7)) = sk3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_188]),c_0_174]) ).
cnf(c_0_201,negated_conjecture,
ssList(cons(sk9,sk7)),
inference(spm,[status(thm)],[c_0_189,c_0_188]) ).
cnf(c_0_202,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_203,negated_conjecture,
rearsegP(sk3,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_120]),c_0_72]),c_0_121])]) ).
cnf(c_0_204,negated_conjecture,
( rearsegP(sk3,cons(sk5,sk7))
| ~ ssList(cons(sk5,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_82]),c_0_72])]) ).
cnf(c_0_205,plain,
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_190]) ).
cnf(c_0_206,negated_conjecture,
( skaf82(sk3) = nil
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193])])]),c_0_88])]) ).
cnf(c_0_207,negated_conjecture,
( app(sk6,cons(sk5,nil)) = app(sk6,sk3)
| sk3 = nil
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,sk3)) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_208,plain,
( frontsegP(X1,X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_96]),c_0_96])]) ).
cnf(c_0_209,negated_conjecture,
( sk6 = nil
| ssList(tl(sk6)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_72]),c_0_77])]) ).
cnf(c_0_210,negated_conjecture,
( cons(hd(sk6),tl(sk3)) = sk3
| sk6 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_72]),c_0_201])]) ).
cnf(c_0_211,negated_conjecture,
( tl(sk3) = nil
| sk3 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_113]),c_0_77])]),c_0_114]) ).
cnf(c_0_212,negated_conjecture,
app(skaf46(sk3,nil),nil) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_203]),c_0_77]),c_0_88])]) ).
cnf(c_0_213,negated_conjecture,
rearsegP(sk3,cons(sk5,sk7)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_75]),c_0_76]),c_0_73])]) ).
cnf(c_0_214,plain,
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_96])]) ).
cnf(c_0_215,negated_conjecture,
( cons(skaf83(sk3),nil) = sk3
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_206]),c_0_88])]) ).
cnf(c_0_216,negated_conjecture,
( app(sk6,cons(sk5,nil)) = app(sk6,sk3)
| sk3 = nil
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_87]),c_0_72]),c_0_88])]) ).
cnf(c_0_217,negated_conjecture,
( sk6 = nil
| frontsegP(X1,tl(sk6))
| ~ frontsegP(cons(X2,X1),sk6)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_141]),c_0_209]) ).
cnf(c_0_218,negated_conjecture,
( cons(hd(sk6),nil) = sk3
| sk6 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_143]) ).
cnf(c_0_219,negated_conjecture,
skaf46(sk3,nil) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_212]),c_0_136])]) ).
cnf(c_0_220,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause137 ).
cnf(c_0_221,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
clause60 ).
cnf(c_0_222,negated_conjecture,
( app(skaf46(sk3,cons(sk5,sk7)),cons(sk5,sk7)) = sk3
| ~ ssList(cons(sk5,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_213]),c_0_88])]) ).
cnf(c_0_223,negated_conjecture,
( sk3 = nil
| memberP(sk3,skaf83(sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_77])]) ).
cnf(c_0_224,negated_conjecture,
( app(sk6,cons(sk5,nil)) = app(sk6,sk3)
| sk3 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_87]),c_0_72])]) ).
cnf(c_0_225,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
clause84 ).
cnf(c_0_226,negated_conjecture,
( sk6 = nil
| frontsegP(nil,tl(sk6)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_108]),c_0_77])]) ).
cnf(c_0_227,negated_conjecture,
app(sk3,nil) = sk3,
inference(rw,[status(thm)],[c_0_212,c_0_219]) ).
cnf(c_0_228,plain,
( frontsegP(app(X1,X2),nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_77])]) ).
cnf(c_0_229,negated_conjecture,
app(skaf46(sk3,cons(sk5,sk7)),cons(sk5,sk7)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_139]),c_0_73])]) ).
cnf(c_0_230,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99 ).
cnf(c_0_231,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76 ).
cnf(c_0_232,negated_conjecture,
( skaf83(sk3) = sk9
| sk3 = nil ),
inference(spm,[status(thm)],[c_0_169,c_0_223]) ).
cnf(c_0_233,negated_conjecture,
( app(sk6,cons(sk5,nil)) = app(sk6,sk3)
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_139]),c_0_77])]) ).
cnf(c_0_234,negated_conjecture,
( cons(hd(sk3),nil) = sk3
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_211]),c_0_88])]) ).
cnf(c_0_235,negated_conjecture,
( cons(sk5,sk7) = X1
| app(sk6,X1) != sk3
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_162]),c_0_162]),c_0_189])]) ).
cnf(c_0_236,negated_conjecture,
( tl(sk6) = nil
| sk6 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_209]) ).
cnf(c_0_237,negated_conjecture,
frontsegP(sk3,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_227]),c_0_77]),c_0_88])]) ).
cnf(c_0_238,negated_conjecture,
( frontsegP(sk3,nil)
| ~ ssList(cons(sk5,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_136])]) ).
cnf(c_0_239,plain,
( nil = X1
| tl(X1) != X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_130]),c_0_157]),c_0_231]) ).
cnf(c_0_240,axiom,
( lt(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderedP(X6)
| ~ ssList(X6) ),
clause181 ).
cnf(c_0_241,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_96])]) ).
cnf(c_0_242,negated_conjecture,
( cons(sk9,skaf82(sk3)) = sk3
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_232]),c_0_88])]) ).
cnf(c_0_243,negated_conjecture,
( sk3 = nil
| ssList(app(sk6,sk3))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_233]),c_0_72])]) ).
cnf(c_0_244,negated_conjecture,
( cons(sk5,nil) = sk3
| sk3 = nil ),
inference(spm,[status(thm)],[c_0_234,c_0_144]) ).
cnf(c_0_245,negated_conjecture,
skaf45(sk3,sk6) = cons(sk5,sk7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_120]),c_0_121])]) ).
cnf(c_0_246,negated_conjecture,
( cons(sk9,nil) = sk3
| sk6 = nil ),
inference(spm,[status(thm)],[c_0_218,c_0_165]) ).
cnf(c_0_247,negated_conjecture,
( cons(sk9,nil) = sk6
| sk6 = nil ),
inference(spm,[status(thm)],[c_0_150,c_0_236]) ).
cnf(c_0_248,negated_conjecture,
app(sk3,skaf45(sk3,sk3)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_237]),c_0_88])]) ).
cnf(c_0_249,negated_conjecture,
frontsegP(sk3,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_139]),c_0_73])]) ).
cnf(c_0_250,plain,
( nil = X1
| app(tl(X1),X2) != app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_186]),c_0_87]),c_0_132]) ).
cnf(c_0_251,plain,
( lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(er,[status(thm)],[c_0_240]) ).
cnf(c_0_252,negated_conjecture,
( skaf82(sk3) = tl(sk3)
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_193])]) ).
cnf(c_0_253,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
clause169 ).
cnf(c_0_254,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_255,negated_conjecture,
( skaf46(sk3,sk7) = X1
| app(X1,sk7) != sk3
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_135]),c_0_73]),c_0_136])]) ).
cnf(c_0_256,negated_conjecture,
( sk3 = nil
| ssList(app(sk6,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_88])]) ).
cnf(c_0_257,negated_conjecture,
skaf45(sk3,sk6) = cons(sk9,sk7),
inference(rw,[status(thm)],[c_0_245,c_0_188]) ).
cnf(c_0_258,negated_conjecture,
( sk6 = nil
| sk6 = sk3 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_259,negated_conjecture,
skaf45(sk3,sk3) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_248]),c_0_121]),c_0_88])]) ).
cnf(c_0_260,negated_conjecture,
app(nil,skaf45(sk3,nil)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_249]),c_0_77]),c_0_88])]) ).
cnf(c_0_261,plain,
( nil = X1
| tl(X1) != app(X1,nil)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_145]),c_0_77])]),c_0_157]) ).
cnf(c_0_262,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
clause183 ).
cnf(c_0_263,plain,
( lt(X1,X2)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_96]),c_0_96])]) ).
cnf(c_0_264,negated_conjecture,
( cons(sk9,tl(sk3)) = sk3
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_142]),c_0_88])]) ).
cnf(c_0_265,negated_conjecture,
( sk3 = nil
| ssList(tl(sk3)) ),
inference(spm,[status(thm)],[c_0_193,c_0_252]) ).
cnf(c_0_266,plain,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_96])]) ).
cnf(c_0_267,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
co1_12 ).
cnf(c_0_268,negated_conjecture,
( cons(sk5,sk7) = nil
| sk3 != nil
| ~ ssList(cons(sk5,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_82]),c_0_72])]) ).
cnf(c_0_269,negated_conjecture,
( sk7 = nil
| skaf46(sk3,sk7) != sk3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_135]),c_0_73]),c_0_136])]) ).
cnf(c_0_270,negated_conjecture,
( skaf46(sk3,sk7) = app(sk6,sk3)
| sk3 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_195]),c_0_256]) ).
cnf(c_0_271,negated_conjecture,
( sk7 = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_135]),c_0_73]),c_0_136])]) ).
cnf(c_0_272,negated_conjecture,
( cons(sk9,sk7) = nil
| sk6 = nil ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]) ).
cnf(c_0_273,negated_conjecture,
skaf45(sk3,nil) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_260]),c_0_121])]) ).
cnf(c_0_274,plain,
( app(cons(X1,X2),nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_202]),c_0_75]),c_0_171]) ).
cnf(c_0_275,plain,
( lt(X1,X2)
| lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5))) ),
inference(er,[status(thm)],[c_0_262]) ).
cnf(c_0_276,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_277,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_278,negated_conjecture,
( sk3 = nil
| lt(X1,sk9)
| ~ ssList(app(app(X2,cons(X1,X3)),sk3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ strictorderedP(app(app(X2,cons(X1,X3)),sk3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
cnf(c_0_279,negated_conjecture,
( app(skaf42(sk7,sk8),cons(sk8,skaf43(sk8,sk7))) = sk7
| memberP(sk6,sk8) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_73])]) ).
cnf(c_0_280,axiom,
ssList(skaf43(X1,X2)),
clause52 ).
cnf(c_0_281,negated_conjecture,
( cons(sk5,sk7) = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_189])]) ).
cnf(c_0_282,negated_conjecture,
( sk7 = nil
| app(sk6,sk3) != sk3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
cnf(c_0_283,negated_conjecture,
sk6 = nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_272]),c_0_73])]),c_0_103]) ).
cnf(c_0_284,negated_conjecture,
app(nil,sk3) = sk3,
inference(rw,[status(thm)],[c_0_260,c_0_273]) ).
cnf(c_0_285,plain,
( cons(X1,nil) != nil
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_80]),c_0_77])]) ).
cnf(c_0_286,negated_conjecture,
( memberP(sk7,sk8)
| ~ lt(sk8,sk5) ),
co1_14 ).
cnf(c_0_287,plain,
( lt(X1,X2)
| lt(X2,X1)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderP(app(app(X3,cons(X1,X4)),cons(X2,X5))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_96]),c_0_96])]) ).
cnf(c_0_288,negated_conjecture,
( memberP(sk4,sk9)
| nil = sk3 ),
co1_22 ).
cnf(c_0_289,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_290,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
clause63 ).
cnf(c_0_291,negated_conjecture,
( sk3 = nil
| memberP(sk6,sk8)
| lt(sk8,sk9)
| ~ ssList(app(sk7,sk3))
| ~ strictorderedP(app(sk7,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_92])]) ).
cnf(c_0_292,negated_conjecture,
( cons(sk9,sk7) = nil
| sk3 != nil ),
inference(rw,[status(thm)],[c_0_281,c_0_188]) ).
cnf(c_0_293,negated_conjecture,
sk7 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283]),c_0_284])]) ).
cnf(c_0_294,plain,
cons(X1,nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_96])]) ).
cnf(c_0_295,negated_conjecture,
( memberP(sk7,sk8)
| ~ lt(sk8,sk9) ),
inference(rw,[status(thm)],[c_0_286,c_0_188]) ).
cnf(c_0_296,negated_conjecture,
( sk3 = nil
| lt(sk9,X1)
| lt(X1,sk9)
| ~ ssList(app(app(X2,cons(X1,X3)),sk3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ strictorderP(app(app(X2,cons(X1,X3)),sk3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_264]),c_0_265]) ).
cnf(c_0_297,negated_conjecture,
( app(skaf42(sk4,sk9),cons(sk9,skaf43(sk9,sk4))) = sk4
| sk3 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_288]),c_0_289])]) ).
cnf(c_0_298,plain,
~ lt(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_96])]) ).
cnf(c_0_299,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause66 ).
cnf(c_0_300,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk4 ),
co1_18 ).
cnf(c_0_301,negated_conjecture,
( ssItem(sk9)
| nil = sk4 ),
co1_16 ).
cnf(c_0_302,negated_conjecture,
( sk3 = nil
| memberP(sk6,sk8)
| lt(sk8,sk9)
| ~ strictorderedP(app(sk7,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_87]),c_0_73]),c_0_88])]) ).
cnf(c_0_303,negated_conjecture,
sk3 != nil,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293]),c_0_294]) ).
cnf(c_0_304,negated_conjecture,
~ lt(sk8,sk9),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_293]),c_0_103]) ).
cnf(c_0_305,negated_conjecture,
( sk3 = nil
| ~ ssList(app(sk4,sk3))
| ~ strictorderP(app(sk4,sk3)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_280]),c_0_92])]),c_0_298]) ).
cnf(c_0_306,negated_conjecture,
( sk4 = nil
| strictorderedP(sk3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).
cnf(c_0_307,negated_conjecture,
~ strictorderedP(sk3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_283]),c_0_103]),c_0_293]),c_0_284]),c_0_303]),c_0_304]) ).
cnf(c_0_308,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause68 ).
cnf(c_0_309,negated_conjecture,
app(nil,cons(sk9,sk7)) = cons(sk9,sk7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_188]),c_0_188]) ).
cnf(c_0_310,negated_conjecture,
( sk3 = nil
| ~ strictorderP(app(sk4,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_87]),c_0_289]),c_0_88])]) ).
cnf(c_0_311,negated_conjecture,
sk4 = nil,
inference(sr,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_312,plain,
strictorderP(cons(X1,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_96])]) ).
cnf(c_0_313,negated_conjecture,
cons(sk9,nil) = sk3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_283]),c_0_309]),c_0_293]) ).
cnf(c_0_314,negated_conjecture,
~ strictorderP(sk3),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_284]),c_0_303]) ).
cnf(c_0_315,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_314]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC295-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 18:46:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.54/1.22 % Version : CSE_E---1.5
% 0.54/1.22 % Problem : theBenchmark.p
% 0.54/1.22 % Proof found
% 0.54/1.22 % SZS status Theorem for theBenchmark.p
% 0.54/1.22 % SZS output start Proof
% See solution above
% 0.54/1.24 % Total time : 0.641000 s
% 0.54/1.24 % SZS output end Proof
% 0.54/1.24 % Total time : 0.647000 s
%------------------------------------------------------------------------------