%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC413-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : Tue May 5 05:19:34 PM UTC 2026
% Result : Unsatisfiable 6.87s 4.67s
% Output : CNFRefutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 59
% Syntax : Number of clauses : 203 ( 42 unt; 74 nHn; 199 RR)
% Number of literals : 553 ( 184 equ; 282 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 168 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
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_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_56,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
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(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(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(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_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_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_55,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).
cnf(co1_48,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).
cnf(co1_47,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).
cnf(co1_41,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).
cnf(co1_40,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).
cnf(co1_53,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).
cnf(co1_52,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).
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_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_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_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_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(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_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_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_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_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(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_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_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_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(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_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_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(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
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(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(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
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(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_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_59,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_60,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_61,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_62,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_63,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_56 ).
cnf(c_0_64,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_65,negated_conjecture,
( ssItem(sk9)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( ssItem(sk9)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_50 ).
cnf(c_0_67,negated_conjecture,
( ssItem(sk9)
| ssList(sk13) ),
co1_49 ).
cnf(c_0_68,negated_conjecture,
( ssItem(sk9)
| ssItem(sk11) ),
co1_38 ).
cnf(c_0_69,negated_conjecture,
( ssItem(sk9)
| ssItem(sk12) ),
co1_45 ).
cnf(c_0_70,negated_conjecture,
( ssItem(sk8)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( ssItem(sk8)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_44 ).
cnf(c_0_72,negated_conjecture,
( ssItem(sk8)
| ssList(sk13) ),
co1_43 ).
cnf(c_0_73,negated_conjecture,
( ssItem(sk8)
| ssItem(sk11) ),
co1_37 ).
cnf(c_0_74,negated_conjecture,
( ssItem(sk8)
| ssItem(sk12) ),
co1_42 ).
cnf(c_0_75,negated_conjecture,
( ssList(sk10)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_62,c_0_60]) ).
cnf(c_0_76,negated_conjecture,
( ssList(sk10)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_54 ).
cnf(c_0_77,negated_conjecture,
( ssList(sk10)
| ssList(sk13) ),
co1_51 ).
cnf(c_0_78,negated_conjecture,
( ssList(sk10)
| ssItem(sk11) ),
co1_39 ).
cnf(c_0_79,negated_conjecture,
( ssList(sk10)
| ssItem(sk12) ),
co1_46 ).
cnf(c_0_80,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_55 ).
cnf(c_0_81,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssItem(sk12) ),
co1_48 ).
cnf(c_0_82,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssItem(sk12) ),
co1_47 ).
cnf(c_0_83,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssItem(sk11) ),
co1_41 ).
cnf(c_0_84,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssItem(sk11) ),
co1_40 ).
cnf(c_0_85,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssList(sk13) ),
co1_53 ).
cnf(c_0_86,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssList(sk13) ),
co1_52 ).
cnf(c_0_87,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_88,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_89,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_90,negated_conjecture,
ssItem(sk9),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_91,negated_conjecture,
ssItem(sk8),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73]),c_0_74]) ).
cnf(c_0_92,negated_conjecture,
ssList(sk10),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]),c_0_79]) ).
cnf(c_0_93,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
inference(rw,[status(thm)],[c_0_80,c_0_60]) ).
cnf(c_0_94,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_95,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1
| ssItem(sk12) ),
inference(rw,[status(thm)],[c_0_81,c_0_64]) ).
cnf(c_0_96,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| ssItem(sk12) ),
inference(rw,[status(thm)],[c_0_82,c_0_60]) ).
cnf(c_0_97,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_98,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1
| ssItem(sk11) ),
inference(rw,[status(thm)],[c_0_83,c_0_64]) ).
cnf(c_0_99,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| ssItem(sk11) ),
inference(rw,[status(thm)],[c_0_84,c_0_60]) ).
cnf(c_0_100,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_101,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1
| ssList(sk13) ),
inference(rw,[status(thm)],[c_0_85,c_0_64]) ).
cnf(c_0_102,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| ssList(sk13) ),
inference(rw,[status(thm)],[c_0_86,c_0_60]) ).
cnf(c_0_103,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_104,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_105,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_60]),c_0_60]) ).
cnf(c_0_106,negated_conjecture,
app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]),c_0_92])]),c_0_93]) ).
cnf(c_0_107,negated_conjecture,
ssItem(sk12),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_90]),c_0_91]),c_0_92])]),c_0_96]) ).
cnf(c_0_108,negated_conjecture,
ssItem(sk11),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_90]),c_0_91]),c_0_92])]),c_0_99]) ).
cnf(c_0_109,negated_conjecture,
ssList(sk13),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_90]),c_0_91]),c_0_92])]),c_0_102]) ).
cnf(c_0_110,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_103,c_0_60]) ).
cnf(c_0_111,negated_conjecture,
( ssItem(sk5)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_104,c_0_60]) ).
cnf(c_0_112,negated_conjecture,
( ssItem(sk5)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_27 ).
cnf(c_0_113,negated_conjecture,
( ssItem(sk5)
| ssList(sk13) ),
co1_26 ).
cnf(c_0_114,negated_conjecture,
( ssItem(sk5)
| ssItem(sk11) ),
co1_21 ).
cnf(c_0_115,negated_conjecture,
( ssItem(sk5)
| ssItem(sk12) ),
co1_25 ).
cnf(c_0_116,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_117,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_118,negated_conjecture,
app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_119,negated_conjecture,
app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_106]),c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_120,negated_conjecture,
ssItem(sk5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_121,negated_conjecture,
( ssList(sk7)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_116,c_0_60]) ).
cnf(c_0_122,negated_conjecture,
( ssList(sk7)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_35 ).
cnf(c_0_123,negated_conjecture,
( ssList(sk7)
| ssList(sk13) ),
co1_33 ).
cnf(c_0_124,negated_conjecture,
( ssList(sk7)
| ssItem(sk11) ),
co1_23 ).
cnf(c_0_125,negated_conjecture,
( ssList(sk7)
| ssItem(sk12) ),
co1_29 ).
cnf(c_0_126,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_127,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_128,negated_conjecture,
( app(cons(sk11,cons(sk12,nil)),sk13) = sk2
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_117]),c_0_108])]) ).
cnf(c_0_129,negated_conjecture,
( app(cons(sk8,cons(sk9,nil)),sk10) = sk2
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_117]),c_0_91])]) ).
cnf(c_0_130,negated_conjecture,
( app(cons(sk5,cons(sk6,nil)),sk7) = sk2
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_117]),c_0_120])]) ).
cnf(c_0_131,negated_conjecture,
ssList(sk7),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]),c_0_125]) ).
cnf(c_0_132,negated_conjecture,
( ssItem(sk6)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_126,c_0_60]) ).
cnf(c_0_133,negated_conjecture,
( ssItem(sk6)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
co1_32 ).
cnf(c_0_134,negated_conjecture,
( ssItem(sk6)
| ssList(sk13) ),
co1_31 ).
cnf(c_0_135,negated_conjecture,
( ssItem(sk6)
| ssItem(sk11) ),
co1_22 ).
cnf(c_0_136,negated_conjecture,
( ssItem(sk6)
| ssItem(sk12) ),
co1_28 ).
cnf(c_0_137,negated_conjecture,
( cons(sk11,app(cons(sk12,nil),sk13)) = sk2
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_108]),c_0_109])]) ).
cnf(c_0_138,negated_conjecture,
( cons(sk8,app(cons(sk9,nil),sk10)) = sk2
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_129]),c_0_91]),c_0_92])]) ).
cnf(c_0_139,negated_conjecture,
( cons(sk5,app(cons(sk6,nil),sk7)) = sk2
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_130]),c_0_120]),c_0_131])]) ).
cnf(c_0_140,negated_conjecture,
ssItem(sk6),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_141,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97 ).
cnf(c_0_142,negated_conjecture,
( cons(sk11,cons(sk12,sk13)) = sk2
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_117]),c_0_107]),c_0_109])]) ).
cnf(c_0_143,negated_conjecture,
( cons(sk8,cons(sk9,sk10)) = sk2
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_117]),c_0_90]),c_0_92])]) ).
cnf(c_0_144,negated_conjecture,
( cons(sk5,cons(sk6,sk7)) = sk2
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_117]),c_0_140]),c_0_131])]) ).
cnf(c_0_145,negated_conjecture,
( hd(sk2) = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_108])]) ).
cnf(c_0_146,negated_conjecture,
( hd(sk2) = sk8
| ~ ssList(cons(sk9,sk10))
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_143]),c_0_91])]) ).
cnf(c_0_147,negated_conjecture,
( hd(sk2) = sk5
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_144]),c_0_120])]) ).
cnf(c_0_148,negated_conjecture,
( sk8 = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil))
| ~ ssList(cons(sk9,sk10))
| ~ ssList(cons(sk9,nil)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_150,negated_conjecture,
( sk5 = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil))
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_145,c_0_147]) ).
cnf(c_0_151,negated_conjecture,
( sk8 = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil))
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_90]),c_0_92])]) ).
cnf(c_0_152,axiom,
ssList(nil),
clause8 ).
cnf(c_0_153,negated_conjecture,
( sk5 = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_149]),c_0_140]),c_0_131])]) ).
cnf(c_0_154,negated_conjecture,
( sk8 = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_149]),c_0_90]),c_0_152])]) ).
cnf(c_0_155,negated_conjecture,
( sk5 = sk11
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_149]),c_0_140]),c_0_152])]) ).
cnf(c_0_156,negated_conjecture,
( sk8 = sk11
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_149]),c_0_107]),c_0_109])]) ).
cnf(c_0_157,negated_conjecture,
( sk5 = sk11
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_149]),c_0_107]),c_0_109])]) ).
cnf(c_0_158,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171 ).
cnf(c_0_159,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109 ).
cnf(c_0_160,axiom,
ssItem(skaf83(X1)),
clause12 ).
cnf(c_0_161,axiom,
ssList(skaf82(X1)),
clause13 ).
cnf(c_0_162,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98 ).
cnf(c_0_163,negated_conjecture,
sk8 = sk11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_149]),c_0_107]),c_0_152])]) ).
cnf(c_0_164,negated_conjecture,
sk5 = sk11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_149]),c_0_107]),c_0_152])]) ).
cnf(c_0_165,plain,
( skaf82(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161])])]),c_0_149]),c_0_162]) ).
cnf(c_0_166,negated_conjecture,
( cons(sk11,cons(sk9,sk10)) = sk2
| ~ ssList(cons(sk9,nil)) ),
inference(rw,[status(thm)],[c_0_143,c_0_163]) ).
cnf(c_0_167,negated_conjecture,
( cons(sk11,cons(sk6,sk7)) = sk2
| ~ ssList(cons(sk6,nil)) ),
inference(rw,[status(thm)],[c_0_144,c_0_164]) ).
cnf(c_0_168,negated_conjecture,
( skaf82(sk2) = cons(sk9,sk10)
| ~ ssList(cons(sk9,sk10))
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_108])]) ).
cnf(c_0_169,negated_conjecture,
( skaf82(sk2) = cons(sk6,sk7)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_167]),c_0_108])]) ).
cnf(c_0_170,negated_conjecture,
( cons(sk6,sk7) = cons(sk9,sk10)
| ~ ssList(cons(sk9,sk10))
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_171,negated_conjecture,
( cons(sk6,sk7) = cons(sk9,sk10)
| ~ ssList(cons(sk9,sk10))
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_149]),c_0_140]),c_0_131])]) ).
cnf(c_0_172,negated_conjecture,
( cons(sk6,sk7) = cons(sk9,sk10)
| ~ ssList(cons(sk9,sk10))
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_149]),c_0_140]),c_0_152])]) ).
cnf(c_0_173,negated_conjecture,
( cons(sk6,sk7) = cons(sk9,sk10)
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_149]),c_0_90]),c_0_92])]) ).
cnf(c_0_174,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_175,negated_conjecture,
cons(sk6,sk7) = cons(sk9,sk10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_149]),c_0_90]),c_0_152])]) ).
cnf(c_0_176,negated_conjecture,
tl(cons(sk9,sk10)) = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_140]),c_0_131])]) ).
cnf(c_0_177,negated_conjecture,
ssList(cons(sk9,sk10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_175]),c_0_140]),c_0_131])]) ).
cnf(c_0_178,negated_conjecture,
sk7 = sk10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_176]),c_0_90]),c_0_92])]) ).
cnf(c_0_179,negated_conjecture,
( skaf82(sk2) = cons(sk9,sk10)
| ~ ssList(cons(sk9,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_177])]) ).
cnf(c_0_180,negated_conjecture,
( skaf82(sk2) = cons(sk12,sk13)
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_142]),c_0_108])]) ).
cnf(c_0_181,negated_conjecture,
cons(sk6,sk10) = cons(sk9,sk10),
inference(rw,[status(thm)],[c_0_175,c_0_178]) ).
cnf(c_0_182,negated_conjecture,
( cons(sk9,sk10) = cons(sk12,sk13)
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil)) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_183,negated_conjecture,
hd(cons(sk9,sk10)) = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_181]),c_0_140]),c_0_92])]) ).
cnf(c_0_184,negated_conjecture,
( cons(sk9,sk10) = cons(sk12,sk13)
| ~ ssList(cons(sk12,sk13))
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_149]),c_0_90]),c_0_152])]) ).
cnf(c_0_185,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_186,negated_conjecture,
sk6 = sk9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_183]),c_0_90]),c_0_92])]) ).
cnf(c_0_187,negated_conjecture,
( cons(sk9,sk10) = cons(sk12,sk13)
| ~ ssList(cons(sk12,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_149]),c_0_107]),c_0_109])]) ).
cnf(c_0_188,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk1
| app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_64]),c_0_60]) ).
cnf(c_0_189,negated_conjecture,
hd(cons(sk9,sk10)) = sk9,
inference(rw,[status(thm)],[c_0_183,c_0_186]) ).
cnf(c_0_190,negated_conjecture,
cons(sk9,sk10) = cons(sk12,sk13),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_149]),c_0_107]),c_0_152])]) ).
cnf(c_0_191,negated_conjecture,
tl(cons(sk9,sk10)) = sk10,
inference(rw,[status(thm)],[c_0_176,c_0_178]) ).
cnf(c_0_192,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_193,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_188,c_0_106]),c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_194,negated_conjecture,
hd(cons(sk12,sk13)) = sk9,
inference(rw,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
tl(cons(sk12,sk13)) = sk10,
inference(rw,[status(thm)],[c_0_191,c_0_190]) ).
cnf(c_0_196,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != sk2
| app(app(cons(X4,nil),cons(X5,nil)),X6) != sk1
| app(app(cons(X5,nil),cons(X4,nil)),X6) != sk2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X3)
| ~ ssList(X6) ),
inference(rw,[status(thm)],[c_0_192,c_0_60]) ).
cnf(c_0_197,negated_conjecture,
app(app(cons(sk9,nil),cons(sk11,nil)),sk10) = sk1,
inference(rw,[status(thm)],[c_0_193,c_0_163]) ).
cnf(c_0_198,negated_conjecture,
sk9 = sk12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_194]),c_0_107]),c_0_109])]) ).
cnf(c_0_199,negated_conjecture,
sk10 = sk13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_195]),c_0_107]),c_0_109])]) ).
cnf(c_0_200,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != sk1
| app(app(cons(X2,nil),cons(X1,nil)),X3) != sk2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_106]),c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_201,negated_conjecture,
app(app(cons(sk12,nil),cons(sk11,nil)),sk13) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_202,negated_conjecture,
$false,
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_200,c_0_201]),c_0_106]),c_0_107]),c_0_108]),c_0_109])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC413-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n021.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:49:55 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 6.87/4.67 % Version : CSE_E---1.7
% 6.87/4.67 % Problem : theBenchmark.p
% 6.87/4.67 % SZS status Unsatisfiable for theBenchmark.p
% 6.87/4.67 % SZS output start CNFRefutation
% See solution above
% 6.87/4.69 % Total time : 3.371s
%------------------------------------------------------------------------------