%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC344-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:38 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 173
% Syntax : Number of formulae : 1126 ( 70 unt; 66 def)
% Number of atoms : 5026 (1106 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 6776 (2876 ~;3834 |; 0 &)
% ( 66 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 72 ( 70 usr; 67 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 824 ( 0 sgn 824 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(app(sk5,sk3),sk6),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(X1,cons(X0,nil)) != sk5
| ~ ssItem(X2)
| ~ ssList(X3)
| app(cons(X2,nil),X3) != sk3
| ~ lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( sk5 != app(X1,cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X3)
| sk3 != app(cons(X2,nil),X3)
| ~ lt(X0,X2) ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk6
| ~ ssItem(X2)
| ~ ssList(X3)
| app(X3,cons(X2,nil)) != sk3
| ~ lt(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X3,cons(X2,nil))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk6
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ lt(X2,X0) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f216]) ).
fof(f218,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f221,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f223,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f222]) ).
fof(f224,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f225,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f224]) ).
fof(f226,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f227,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f226]) ).
fof(f228,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f229,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f228]) ).
fof(f230,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f231,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f230]) ).
fof(f232,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f233,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f232]) ).
fof(f234,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f234]) ).
fof(f236,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
fof(f237,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f236]) ).
fof(f238,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
fof(f239,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f238]) ).
fof(f240,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
fof(f241,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f240]) ).
fof(f242,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
fof(f243,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f242]) ).
fof(f244,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
fof(f245,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f244]) ).
fof(f246,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).
fof(f247,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f246]) ).
fof(f248,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).
fof(f249,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f248]) ).
fof(f250,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).
fof(f251,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f250]) ).
fof(f252,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).
fof(f253,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f252]) ).
fof(f254,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).
fof(f255,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f254]) ).
fof(f256,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).
fof(f257,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f256]) ).
fof(f258,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).
fof(f259,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f258]) ).
fof(f260,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).
fof(f261,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f260]) ).
fof(f262,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).
fof(f263,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f262]) ).
fof(f264,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).
fof(f265,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f264]) ).
fof(f266,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).
fof(f267,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f266]) ).
fof(f268,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).
fof(f269,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f268]) ).
fof(f270,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).
fof(f271,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f270]) ).
fof(f272,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).
fof(f273,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f272]) ).
fof(f274,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).
fof(f275,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f274]) ).
fof(f276,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).
fof(f277,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f276]) ).
fof(f278,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).
fof(f279,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f278]) ).
fof(f280,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).
fof(f281,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f280]) ).
fof(f282,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).
fof(f283,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f282]) ).
fof(f284,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).
fof(f285,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f284]) ).
fof(f286,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).
fof(f287,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f286]) ).
fof(f288,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).
fof(f289,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f288]) ).
fof(f290,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).
fof(f291,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f290]) ).
fof(f292,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).
fof(f293,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f292]) ).
fof(f294,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).
fof(f295,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f294]) ).
fof(f296,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f296]) ).
fof(f298,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).
fof(f299,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f298]) ).
fof(f300,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).
fof(f301,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f300]) ).
fof(f302,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_57) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f302]) ).
fof(f304,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_58) ).
fof(f305,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f304]) ).
fof(f306,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_59) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f306]) ).
fof(f308,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_60) ).
fof(f309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f308]) ).
fof(f310,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_61) ).
fof(f311,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f310]) ).
fof(f312,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_62) ).
fof(f313,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f312]) ).
fof(f314,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_63) ).
fof(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f314]) ).
fof(f316,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_64) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f316]) ).
fof(f318,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_65) ).
fof(f319,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f318]) ).
fof(f320,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_66) ).
fof(f321,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f320]) ).
fof(f322,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_67) ).
fof(f323,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f322]) ).
fof(f324,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_68) ).
fof(f325,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f324]) ).
fof(f326,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk7(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_69) ).
fof(f327,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk7(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f326]) ).
fof(f328,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_70) ).
fof(f329,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f328]) ).
fof(f330,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_71) ).
fof(f331,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f330]) ).
fof(f332,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_72) ).
fof(f333,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f332]) ).
fof(f334,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_73) ).
fof(f335,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f334]) ).
fof(f336,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_74) ).
fof(f337,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f336]) ).
fof(f338,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_75) ).
fof(f339,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f338]) ).
fof(f340,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_76) ).
fof(f341,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f340]) ).
fof(f342,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_77) ).
fof(f343,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f342]) ).
fof(f344,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_78) ).
fof(f345,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f344]) ).
fof(f346,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_79) ).
fof(f347,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f346]) ).
fof(f348,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_80) ).
fof(f349,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f348]) ).
fof(f350,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk8(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_81) ).
fof(f351,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk8(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f350]) ).
fof(f352,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_82) ).
fof(f353,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f352]) ).
fof(f354,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_83) ).
fof(f355,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f354]) ).
fof(f356,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_84) ).
fof(f357,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f356]) ).
fof(f358,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_85) ).
fof(f359,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f358]) ).
fof(f360,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_86) ).
fof(f361,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f360]) ).
fof(f362,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_87) ).
fof(f363,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f362]) ).
fof(f364,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_88) ).
fof(f365,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f364]) ).
fof(f366,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_89) ).
fof(f367,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f366]) ).
fof(f368,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_90) ).
fof(f369,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f368]) ).
fof(f370,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_91) ).
fof(f371,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f370]) ).
fof(f372,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_92) ).
fof(f373,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f372]) ).
fof(f374,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_93) ).
fof(f375,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f374]) ).
fof(f376,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_94) ).
fof(f377,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f376]) ).
fof(f378,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_95) ).
fof(f379,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f378]) ).
fof(f380,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_96) ).
fof(f381,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f380]) ).
fof(f382,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_97) ).
fof(f383,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f382]) ).
fof(f384,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_98) ).
fof(f385,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f384]) ).
fof(f386,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssItem(sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_99) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssItem(sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f386]) ).
fof(f388,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_100) ).
fof(f389,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f388]) ).
fof(f390,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_101) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f390]) ).
fof(f392,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_102) ).
fof(f393,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f392]) ).
fof(f394,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_103) ).
fof(f395,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f394]) ).
fof(f396,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_104) ).
fof(f397,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f396]) ).
fof(f398,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| ssList(sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_105) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| ssList(sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f398]) ).
fof(f400,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_106) ).
fof(f401,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f400]) ).
fof(f402,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_107) ).
fof(f403,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f402]) ).
fof(f404,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_108) ).
fof(f405,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f404]) ).
fof(f406,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| app(cons(sk9(X1,X0),nil),sk10(X1,X0)) = sk1
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_109) ).
fof(f407,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| sk1 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f406]) ).
fof(f408,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| app(sk14(X1,X0),cons(sk13(X1,X0),nil)) = sk1
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_110) ).
fof(f409,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| sk1 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f408]) ).
fof(f410,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,sk1),X1) != sk2
| lt(sk7(X1,X0),sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_111) ).
fof(f411,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk2 != app(app(X0,sk1),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f410]) ).
fof(f414,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f217,f204,f205,f205,f205]) ).
fof(f415,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f219,f204,f205,f205,f204]) ).
fof(f416,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f221,f204,f205,f205,f205]) ).
fof(f417,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f223,f204,f205,f205,f205]) ).
fof(f418,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f225,f204,f205,f205,f205]) ).
fof(f419,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f227,f204,f205,f205,f205]) ).
fof(f420,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f229,f204,f205,f205,f205,f205]) ).
fof(f421,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f231,f204,f205,f205,f205]) ).
fof(f422,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f233,f204,f205,f205,f205]) ).
fof(f423,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f235,f204,f205,f205,f205]) ).
fof(f424,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f237,f204,f205,f205,f205]) ).
fof(f425,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f239,f204,f205,f205,f205]) ).
fof(f426,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f241,f204,f205,f205,f205,f205]) ).
fof(f427,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f243,f204,f205,f205,f205]) ).
fof(f428,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f245,f204,f205,f205,f205]) ).
fof(f429,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f247,f204,f205,f205,f205]) ).
fof(f430,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f249,f204,f205,f205,f205]) ).
fof(f431,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f251,f204,f205,f205,f205]) ).
fof(f432,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f253,f204,f205,f205,f205,f205]) ).
fof(f433,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f255,f204,f205,f205,f205]) ).
fof(f434,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f257,f204,f205,f205,f205]) ).
fof(f435,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f259,f204,f205,f205,f205]) ).
fof(f436,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f261,f204,f205,f205,f205]) ).
fof(f437,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f263,f204,f205,f205,f205,f205]) ).
fof(f438,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f265,f204,f205,f205,f205]) ).
fof(f439,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f267,f204,f205,f205,f205]) ).
fof(f440,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f269,f204,f205,f205,f205]) ).
fof(f441,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f271,f204,f205,f205,f205]) ).
fof(f442,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f273,f204,f205,f205,f205,f205]) ).
fof(f443,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f275,f204,f205,f205,f205]) ).
fof(f444,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f277,f204,f205,f205,f205]) ).
fof(f445,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f279,f204,f205,f205,f205]) ).
fof(f446,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f281,f204,f205,f205,f205,f205]) ).
fof(f447,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f283,f204,f205,f205,f205]) ).
fof(f448,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f285,f204,f205,f205,f205]) ).
fof(f449,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f287,f204,f205,f205,f205]) ).
fof(f450,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f289,f204,f205,f205,f205,f205]) ).
fof(f451,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f291,f204,f205,f205,f205]) ).
fof(f452,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f293,f204,f205,f205,f205]) ).
fof(f453,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f295,f204,f205,f205,f205,f205]) ).
fof(f454,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f297,f204,f205,f205,f205]) ).
fof(f455,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f299,f204,f205,f205,f205]) ).
fof(f456,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f301,f204,f205,f205,f205,f205]) ).
fof(f457,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f303,f204,f205,f205,f205]) ).
fof(f458,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f305,f204,f205,f205,f205,f205]) ).
fof(f459,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f307,f204,f205,f205,f205]) ).
fof(f460,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f309,f204,f205,f205,f205,f205,f205]) ).
fof(f461,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f311,f204,f205,f205,f205,f205]) ).
fof(f462,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f313,f204,f205,f205,f205,f205]) ).
fof(f463,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f315,f204,f205,f205,f205]) ).
fof(f464,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f317,f204,f205,f205,f204]) ).
fof(f465,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f319,f204,f205,f205,f204]) ).
fof(f466,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f321,f204,f205,f205,f204]) ).
fof(f467,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f323,f204,f205,f205,f204]) ).
fof(f468,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f325,f204,f205,f205,f205,f204]) ).
fof(f469,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk7(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f327,f204,f205,f205,f204]) ).
fof(f470,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f329,f204,f205,f205,f204]) ).
fof(f471,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f331,f204,f205,f205,f204]) ).
fof(f472,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f333,f204,f205,f205,f204]) ).
fof(f473,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f335,f204,f205,f205,f204]) ).
fof(f474,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f337,f204,f205,f205,f205,f204]) ).
fof(f475,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f339,f204,f205,f205,f204]) ).
fof(f476,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f341,f204,f205,f205,f204]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f343,f204,f205,f205,f204]) ).
fof(f478,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f345,f204,f205,f205,f204]) ).
fof(f479,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f347,f204,f205,f205,f204]) ).
fof(f480,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f349,f204,f205,f205,f205,f204]) ).
fof(f481,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk8(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f351,f204,f205,f205,f204]) ).
fof(f482,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f353,f204,f205,f205,f204]) ).
fof(f483,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f355,f204,f205,f205,f204]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f357,f204,f205,f205,f204]) ).
fof(f485,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f359,f204,f205,f205,f205,f204]) ).
fof(f486,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk12(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f361,f204,f205,f205,f204]) ).
fof(f487,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f363,f204,f205,f205,f204]) ).
fof(f488,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f365,f204,f205,f205,f204]) ).
fof(f489,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f367,f204,f205,f205,f204]) ).
fof(f490,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f369,f204,f205,f205,f205,f204]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f371,f204,f205,f205,f204]) ).
fof(f492,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f373,f204,f205,f205,f204]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f375,f204,f205,f205,f204]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f377,f204,f205,f205,f205,f204]) ).
fof(f495,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f379,f204,f205,f205,f204]) ).
fof(f496,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f381,f204,f205,f205,f204]) ).
fof(f497,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f383,f204,f205,f205,f204]) ).
fof(f498,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f385,f204,f205,f205,f205,f204]) ).
fof(f499,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssItem(sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f387,f204,f205,f205,f204]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f389,f204,f205,f205,f204]) ).
fof(f501,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f391,f204,f205,f205,f205,f204]) ).
fof(f502,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssItem(sk13(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f393,f204,f205,f205,f204]) ).
fof(f503,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f395,f204,f205,f205,f204]) ).
fof(f504,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f397,f204,f205,f205,f205,f204]) ).
fof(f505,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| ssList(sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f399,f204,f205,f205,f204]) ).
fof(f506,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f401,f204,f205,f205,f205,f204]) ).
fof(f507,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| ssList(sk14(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f403,f204,f205,f205,f204]) ).
fof(f508,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f405,f204,f205,f205,f205,f205,f204]) ).
fof(f509,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f407,f204,f205,f205,f205,f204]) ).
fof(f510,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f409,f204,f205,f205,f205,f204]) ).
fof(f511,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(X0,sk3),X1)
| lt(sk7(X1,X0),sk9(X1,X0))
| lt(sk13(X1,X0),sk11(X1,X0))
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f411,f204,f205,f205,f204]) ).
fof(f543,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f547,definition,
( spl0_2
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f551,definition,
( spl0_3
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f552,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f511,f551,f547,f543]) ).
fof(f555,definition,
( spl0_4
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f556,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f510,f555,f547,f543]) ).
fof(f559,definition,
( spl0_5
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f509,f559,f547,f543]) ).
fof(f563,definition,
( spl0_6
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f564,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f508,f563,f547,f543]) ).
fof(f567,definition,
( spl0_7
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f568,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f507,f567,f547,f543]) ).
fof(f571,definition,
( spl0_8
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f572,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f573,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f506,f571,f547,f543]) ).
fof(f575,definition,
( spl0_9
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f576,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f505,f575,f547,f543]) ).
fof(f579,definition,
( spl0_10
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f580,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f504,f579,f547,f543]) ).
fof(f583,definition,
( spl0_11
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f584,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f585,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f503,f583,f547,f543]) ).
fof(f587,definition,
( spl0_12
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f588,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f589,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f502,f587,f547,f543]) ).
fof(f591,definition,
( spl0_13
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f592,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f501,f591,f547,f543]) ).
fof(f595,definition,
( spl0_14
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f596,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f500,f595,f547,f543]) ).
fof(f599,definition,
( spl0_15
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f600,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f601,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f499,f599,f547,f543]) ).
fof(f603,definition,
( spl0_16
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f604,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f605,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f498,f603,f547,f543]) ).
fof(f607,definition,
( spl0_17
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f608,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f609,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f497,f607,f547,f543]) ).
fof(f611,definition,
( spl0_18
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f612,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_18 ),
inference(avatar_split_clause,[],[f496,f611,f547,f543]) ).
fof(f615,definition,
( spl0_19
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f616,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_19 ),
inference(avatar_split_clause,[],[f495,f615,f547,f543]) ).
fof(f619,definition,
( spl0_20
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f620,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f621,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_20 ),
inference(avatar_split_clause,[],[f494,f619,f547,f543]) ).
fof(f623,definition,
( spl0_21
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f624,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f625,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_21 ),
inference(avatar_split_clause,[],[f493,f623,f547,f543]) ).
fof(f627,definition,
( spl0_22
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f628,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_22 ),
inference(avatar_split_clause,[],[f492,f627,f547,f543]) ).
fof(f631,definition,
( spl0_23
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f632,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_23 ),
inference(avatar_split_clause,[],[f491,f631,f547,f543]) ).
fof(f635,definition,
( spl0_24
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f636,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f637,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_24 ),
inference(avatar_split_clause,[],[f490,f635,f547,f543]) ).
fof(f639,definition,
( spl0_25
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f640,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_25 ),
inference(avatar_split_clause,[],[f489,f639,f547,f543]) ).
fof(f643,definition,
( spl0_26
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f644,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_26 ),
inference(avatar_split_clause,[],[f488,f643,f547,f543]) ).
fof(f647,definition,
( spl0_27
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f648,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_27 ),
inference(avatar_split_clause,[],[f487,f647,f547,f543]) ).
fof(f651,definition,
( spl0_28
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f652,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_28 ),
inference(avatar_split_clause,[],[f486,f651,f547,f543]) ).
fof(f655,definition,
( spl0_29
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f656,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_29 ),
inference(avatar_split_clause,[],[f485,f655,f547,f543]) ).
fof(f659,definition,
( spl0_30
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f660,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_30 ),
inference(avatar_split_clause,[],[f484,f659,f547,f543]) ).
fof(f663,definition,
( spl0_31
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f664,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_31 ),
inference(avatar_split_clause,[],[f483,f663,f547,f543]) ).
fof(f667,definition,
( spl0_32
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f668,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_32 ),
inference(avatar_split_clause,[],[f482,f667,f547,f543]) ).
fof(f671,definition,
( spl0_33
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f672,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f673,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_33 ),
inference(avatar_split_clause,[],[f481,f671,f547,f543]) ).
fof(f675,definition,
( spl0_34
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f676,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_34 ),
inference(avatar_split_clause,[],[f480,f675,f547,f543]) ).
fof(f679,definition,
( spl0_35
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f680,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_35 ),
inference(avatar_split_clause,[],[f479,f679,f547,f543]) ).
fof(f683,definition,
( spl0_36
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f684,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_36 ),
inference(avatar_split_clause,[],[f478,f683,f547,f543]) ).
fof(f687,definition,
( spl0_37
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f688,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_37 ),
inference(avatar_split_clause,[],[f477,f687,f547,f543]) ).
fof(f691,definition,
( spl0_38
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f692,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_38 ),
inference(avatar_split_clause,[],[f476,f691,f547,f543]) ).
fof(f695,definition,
( spl0_39
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f696,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| lt(sk7(X1,X0),sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_39 ),
inference(avatar_split_clause,[],[f475,f695,f547,f543]) ).
fof(f699,definition,
( spl0_40
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f700,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| sk3 = app(cons(sk9(X1,X0),nil),sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f701,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_40 ),
inference(avatar_split_clause,[],[f474,f699,f547,f543]) ).
fof(f703,definition,
( spl0_41
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| ssList(sk10(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f704,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| ssList(sk10(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f705,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_41 ),
inference(avatar_split_clause,[],[f473,f703,f547,f543]) ).
fof(f707,definition,
( spl0_42
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| ssItem(sk9(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f708,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| ssItem(sk9(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_42 ),
inference(avatar_split_clause,[],[f472,f707,f547,f543]) ).
fof(f711,definition,
( spl0_43
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f712,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| app(sk8(X1,X0),cons(sk7(X1,X0),nil)) = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f713,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_43 ),
inference(avatar_split_clause,[],[f471,f711,f547,f543]) ).
fof(f715,definition,
( spl0_44
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| ssList(sk8(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f716,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| ssList(sk8(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f717,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_44 ),
inference(avatar_split_clause,[],[f470,f715,f547,f543]) ).
fof(f719,definition,
( spl0_45
<=> ! [X0,X1] :
( ~ ssList(X0)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f720,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| lt(sk13(X1,X0),sk11(X1,X0))
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f721,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_45 ),
inference(avatar_split_clause,[],[f469,f719,f547,f543]) ).
fof(f723,definition,
( spl0_46
<=> ! [X0,X1] :
( ~ ssList(X0)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f724,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| sk3 = app(sk14(X1,X0),cons(sk13(X1,X0),nil))
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f725,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_46 ),
inference(avatar_split_clause,[],[f468,f723,f547,f543]) ).
fof(f727,definition,
( spl0_47
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk14(X1,X0))
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f728,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk14(X1,X0))
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f729,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_47 ),
inference(avatar_split_clause,[],[f467,f727,f547,f543]) ).
fof(f731,definition,
( spl0_48
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk13(X1,X0))
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f732,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk13(X1,X0))
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f733,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_48 ),
inference(avatar_split_clause,[],[f466,f731,f547,f543]) ).
fof(f735,definition,
( spl0_49
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f736,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| app(cons(sk11(X1,X0),nil),sk12(X1,X0)) = X1
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f737,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_49 ),
inference(avatar_split_clause,[],[f465,f735,f547,f543]) ).
fof(f739,definition,
( spl0_50
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssList(sk12(X1,X0))
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f740,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssList(sk12(X1,X0))
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f741,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_50 ),
inference(avatar_split_clause,[],[f464,f739,f547,f543]) ).
fof(f743,definition,
( spl0_51
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f746,plain,
( spl0_51
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f463,f551,f547,f743]) ).
fof(f747,plain,
( spl0_51
| ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f462,f555,f547,f743]) ).
fof(f748,plain,
( spl0_51
| ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f461,f559,f547,f743]) ).
fof(f749,plain,
( spl0_51
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f460,f563,f547,f743]) ).
fof(f750,plain,
( spl0_51
| ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f459,f567,f547,f743]) ).
fof(f751,plain,
( spl0_51
| ~ spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f458,f571,f547,f743]) ).
fof(f752,plain,
( spl0_51
| ~ spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f457,f575,f547,f743]) ).
fof(f753,plain,
( spl0_51
| ~ spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f456,f579,f547,f743]) ).
fof(f754,plain,
( spl0_51
| ~ spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f455,f583,f547,f743]) ).
fof(f755,plain,
( spl0_51
| ~ spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f454,f587,f547,f743]) ).
fof(f756,plain,
( spl0_51
| ~ spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f453,f591,f547,f743]) ).
fof(f757,plain,
( spl0_51
| ~ spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f452,f595,f547,f743]) ).
fof(f758,plain,
( spl0_51
| ~ spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f451,f599,f547,f743]) ).
fof(f759,plain,
( spl0_51
| ~ spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f450,f603,f547,f743]) ).
fof(f760,plain,
( spl0_51
| ~ spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f449,f607,f547,f743]) ).
fof(f761,plain,
( spl0_51
| ~ spl0_2
| spl0_18 ),
inference(avatar_split_clause,[],[f448,f611,f547,f743]) ).
fof(f762,plain,
( spl0_51
| ~ spl0_2
| spl0_19 ),
inference(avatar_split_clause,[],[f447,f615,f547,f743]) ).
fof(f763,plain,
( spl0_51
| ~ spl0_2
| spl0_20 ),
inference(avatar_split_clause,[],[f446,f619,f547,f743]) ).
fof(f764,plain,
( spl0_51
| ~ spl0_2
| spl0_21 ),
inference(avatar_split_clause,[],[f445,f623,f547,f743]) ).
fof(f765,plain,
( spl0_51
| ~ spl0_2
| spl0_22 ),
inference(avatar_split_clause,[],[f444,f627,f547,f743]) ).
fof(f766,plain,
( spl0_51
| ~ spl0_2
| spl0_23 ),
inference(avatar_split_clause,[],[f443,f631,f547,f743]) ).
fof(f767,plain,
( spl0_51
| ~ spl0_2
| spl0_24 ),
inference(avatar_split_clause,[],[f442,f635,f547,f743]) ).
fof(f768,plain,
( spl0_51
| ~ spl0_2
| spl0_25 ),
inference(avatar_split_clause,[],[f441,f639,f547,f743]) ).
fof(f769,plain,
( spl0_51
| ~ spl0_2
| spl0_26 ),
inference(avatar_split_clause,[],[f440,f643,f547,f743]) ).
fof(f770,plain,
( spl0_51
| ~ spl0_2
| spl0_27 ),
inference(avatar_split_clause,[],[f439,f647,f547,f743]) ).
fof(f771,plain,
( spl0_51
| ~ spl0_2
| spl0_28 ),
inference(avatar_split_clause,[],[f438,f651,f547,f743]) ).
fof(f772,plain,
( spl0_51
| ~ spl0_2
| spl0_29 ),
inference(avatar_split_clause,[],[f437,f655,f547,f743]) ).
fof(f773,plain,
( spl0_51
| ~ spl0_2
| spl0_30 ),
inference(avatar_split_clause,[],[f436,f659,f547,f743]) ).
fof(f774,plain,
( spl0_51
| ~ spl0_2
| spl0_31 ),
inference(avatar_split_clause,[],[f435,f663,f547,f743]) ).
fof(f775,plain,
( spl0_51
| ~ spl0_2
| spl0_32 ),
inference(avatar_split_clause,[],[f434,f667,f547,f743]) ).
fof(f776,plain,
( spl0_51
| ~ spl0_2
| spl0_33 ),
inference(avatar_split_clause,[],[f433,f671,f547,f743]) ).
fof(f777,plain,
( spl0_51
| ~ spl0_2
| spl0_34 ),
inference(avatar_split_clause,[],[f432,f675,f547,f743]) ).
fof(f778,plain,
( spl0_51
| ~ spl0_2
| spl0_35 ),
inference(avatar_split_clause,[],[f431,f679,f547,f743]) ).
fof(f779,plain,
( spl0_51
| ~ spl0_2
| spl0_36 ),
inference(avatar_split_clause,[],[f430,f683,f547,f743]) ).
fof(f780,plain,
( spl0_51
| ~ spl0_2
| spl0_37 ),
inference(avatar_split_clause,[],[f429,f687,f547,f743]) ).
fof(f781,plain,
( spl0_51
| ~ spl0_2
| spl0_38 ),
inference(avatar_split_clause,[],[f428,f691,f547,f743]) ).
fof(f782,plain,
( spl0_51
| ~ spl0_2
| spl0_39 ),
inference(avatar_split_clause,[],[f427,f695,f547,f743]) ).
fof(f783,plain,
( spl0_51
| ~ spl0_2
| spl0_40 ),
inference(avatar_split_clause,[],[f426,f699,f547,f743]) ).
fof(f784,plain,
( spl0_51
| ~ spl0_2
| spl0_41 ),
inference(avatar_split_clause,[],[f425,f703,f547,f743]) ).
fof(f785,plain,
( spl0_51
| ~ spl0_2
| spl0_42 ),
inference(avatar_split_clause,[],[f424,f707,f547,f743]) ).
fof(f786,plain,
( spl0_51
| ~ spl0_2
| spl0_43 ),
inference(avatar_split_clause,[],[f423,f711,f547,f743]) ).
fof(f787,plain,
( spl0_51
| ~ spl0_2
| spl0_44 ),
inference(avatar_split_clause,[],[f422,f715,f547,f743]) ).
fof(f788,plain,
( spl0_51
| ~ spl0_2
| spl0_45 ),
inference(avatar_split_clause,[],[f421,f719,f547,f743]) ).
fof(f789,plain,
( spl0_51
| ~ spl0_2
| spl0_46 ),
inference(avatar_split_clause,[],[f420,f723,f547,f743]) ).
fof(f790,plain,
( spl0_51
| ~ spl0_2
| spl0_47 ),
inference(avatar_split_clause,[],[f419,f727,f547,f743]) ).
fof(f791,plain,
( spl0_51
| ~ spl0_2
| spl0_48 ),
inference(avatar_split_clause,[],[f418,f731,f547,f743]) ).
fof(f792,plain,
( spl0_51
| ~ spl0_2
| spl0_49 ),
inference(avatar_split_clause,[],[f417,f735,f547,f743]) ).
fof(f793,plain,
( spl0_51
| ~ spl0_2
| spl0_50 ),
inference(avatar_split_clause,[],[f416,f739,f547,f743]) ).
fof(f795,definition,
( spl0_52
<=> ! [X0,X1] :
( ~ ssList(X0)
| ssItem(sk11(X1,X0))
| ssItem(sk7(X1,X0))
| sk4 != app(app(X0,sk3),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f796,plain,
( ! [X0,X1] :
( sk4 != app(app(X0,sk3),X1)
| ssItem(sk11(X1,X0))
| ssItem(sk7(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_52 ),
inference(avatar_split_clause,[],[f415,f795,f547,f543]) ).
fof(f798,plain,
( spl0_51
| ~ spl0_2
| spl0_52 ),
inference(avatar_split_clause,[],[f414,f795,f547,f743]) ).
fof(f799,plain,
( ~ spl0_51
| spl0_1 ),
inference(avatar_split_clause,[],[f215,f543,f743]) ).
fof(f800,plain,
spl0_2,
inference(avatar_split_clause,[],[f210,f547]) ).
fof(f843,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_11 ),
inference(superposition,[],[f584,f209]) ).
fof(f844,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f843]) ).
fof(f845,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f844,f206]) ).
fof(f846,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f845,f207]) ).
fof(f848,definition,
( spl0_62
<=> ssList(sk10(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f850,plain,
( ssList(sk10(sk6,sk5))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f852,definition,
( spl0_63
<=> ssList(sk14(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f854,plain,
( ssList(sk14(sk6,sk5))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f855,plain,
( spl0_62
| spl0_63
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f846,f583,f852,f848]) ).
fof(f856,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_14 ),
inference(superposition,[],[f596,f209]) ).
fof(f857,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f856]) ).
fof(f858,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f857,f206]) ).
fof(f859,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f858,f207]) ).
fof(f861,definition,
( spl0_64
<=> ssItem(sk13(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f863,plain,
( ssItem(sk13(sk6,sk5))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f864,plain,
( spl0_62
| spl0_64
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f859,f595,f861,f848]) ).
fof(f865,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_17 ),
inference(superposition,[],[f608,f209]) ).
fof(f866,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f865]) ).
fof(f867,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_18 ),
inference(superposition,[],[f612,f209]) ).
fof(f868,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f867]) ).
fof(f869,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_30 ),
inference(superposition,[],[f660,f209]) ).
fof(f870,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f869]) ).
fof(f871,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f870,f206]) ).
fof(f872,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f871,f207]) ).
fof(f874,definition,
( spl0_65
<=> ssList(sk12(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f876,plain,
( ssList(sk12(sk6,sk5))
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f877,plain,
( spl0_62
| spl0_65
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f872,f659,f874,f848]) ).
fof(f878,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_31 ),
inference(superposition,[],[f664,f209]) ).
fof(f879,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f878]) ).
fof(f880,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f879,f206]) ).
fof(f881,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f880,f207]) ).
fof(f883,definition,
( spl0_66
<=> ssItem(sk9(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f885,plain,
( ssItem(sk9(sk6,sk5))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f886,plain,
( spl0_66
| spl0_65
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f881,f663,f874,f883]) ).
fof(f887,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_35 ),
inference(superposition,[],[f680,f209]) ).
fof(f888,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f889,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_36 ),
inference(superposition,[],[f684,f209]) ).
fof(f890,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f889]) ).
fof(f891,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_38 ),
inference(superposition,[],[f692,f209]) ).
fof(f892,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f891]) ).
fof(f893,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_41 ),
inference(superposition,[],[f704,f209]) ).
fof(f894,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f893]) ).
fof(f895,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f894,f206]) ).
fof(f896,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f895,f207]) ).
fof(f898,definition,
( spl0_67
<=> ssItem(sk11(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f900,plain,
( ssItem(sk11(sk6,sk5))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f901,plain,
( spl0_62
| spl0_67
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f896,f703,f898,f848]) ).
fof(f902,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_42 ),
inference(superposition,[],[f708,f209]) ).
fof(f903,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f902]) ).
fof(f904,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f903,f206]) ).
fof(f905,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f904,f207]) ).
fof(f906,plain,
( spl0_66
| spl0_67
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f905,f707,f898,f883]) ).
fof(f907,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_44 ),
inference(superposition,[],[f716,f209]) ).
fof(f908,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f907]) ).
fof(f909,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_47 ),
inference(superposition,[],[f728,f209]) ).
fof(f910,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f909]) ).
fof(f911,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_48 ),
inference(superposition,[],[f732,f209]) ).
fof(f912,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f911]) ).
fof(f913,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_50 ),
inference(superposition,[],[f740,f209]) ).
fof(f914,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f913]) ).
fof(f915,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_52 ),
inference(superposition,[],[f796,f209]) ).
fof(f916,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f915]) ).
fof(f917,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_7 ),
inference(superposition,[],[f568,f209]) ).
fof(f918,plain,
( ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f917]) ).
fof(f919,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_9 ),
inference(superposition,[],[f576,f209]) ).
fof(f920,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f919]) ).
fof(f921,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f920,f206]) ).
fof(f922,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f921,f207]) ).
fof(f924,definition,
( spl0_68
<=> lt(sk13(sk6,sk5),sk11(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f927,plain,
( spl0_62
| spl0_68
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f922,f575,f924,f848]) ).
fof(f928,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_28 ),
inference(superposition,[],[f652,f209]) ).
fof(f929,plain,
( ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f928]) ).
fof(f930,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_33 ),
inference(superposition,[],[f672,f209]) ).
fof(f931,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f930]) ).
fof(f936,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_3 ),
inference(superposition,[],[f552,f209]) ).
fof(f937,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f936]) ).
fof(f938,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_8 ),
inference(superposition,[],[f572,f209]) ).
fof(f939,plain,
( ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f938]) ).
fof(f940,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_10 ),
inference(superposition,[],[f580,f209]) ).
fof(f941,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f940]) ).
fof(f942,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f941,f206]) ).
fof(f943,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk10(sk6,sk5))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f942,f207]) ).
fof(f945,definition,
( spl0_69
<=> sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f947,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f948,plain,
( spl0_62
| spl0_69
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f943,f579,f945,f848]) ).
fof(f962,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_21 ),
inference(superposition,[],[f624,f209]) ).
fof(f963,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f962]) ).
fof(f964,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f963,f206]) ).
fof(f965,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk10(sk6,sk5))
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f964,f207]) ).
fof(f967,definition,
( spl0_72
<=> sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f968,plain,
( sk6 != app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| spl0_72 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f969,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f970,plain,
( spl0_62
| spl0_72
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f965,f623,f967,f848]) ).
fof(f976,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_12 ),
inference(superposition,[],[f588,f209]) ).
fof(f977,plain,
( ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f976]) ).
fof(f978,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_15 ),
inference(superposition,[],[f600,f209]) ).
fof(f979,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f978]) ).
fof(f980,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_39 ),
inference(superposition,[],[f696,f209]) ).
fof(f981,plain,
( ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f980]) ).
fof(f982,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_45 ),
inference(superposition,[],[f720,f209]) ).
fof(f983,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f982]) ).
fof(f985,plain,
( ! [X0,X1] :
( sk3 != sk3
| ~ ssList(X0)
| sk6 != app(cons(X1,nil),X0)
| ~ ssItem(sk13(sk6,sk5))
| ~ ssList(sk14(sk6,sk5))
| ~ ssItem(X1)
| ~ lt(sk13(sk6,sk5),X1) )
| ~ spl0_69 ),
inference(superposition,[],[f214,f947]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| sk6 != app(cons(X1,nil),X0)
| ~ ssItem(sk13(sk6,sk5))
| ~ ssList(sk14(sk6,sk5))
| ~ ssItem(X1)
| ~ lt(sk13(sk6,sk5),X1) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f985]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| sk6 != app(cons(X1,nil),X0)
| ~ ssList(sk14(sk6,sk5))
| ~ ssItem(X1)
| ~ lt(sk13(sk6,sk5),X1) )
| ~ spl0_64
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f986,f863]) ).
fof(f988,plain,
( ! [X0,X1] :
( sk6 != app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(sk13(sk6,sk5),X1) )
| ~ spl0_63
| ~ spl0_64
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f987,f854]) ).
fof(f989,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_13 ),
inference(superposition,[],[f592,f209]) ).
fof(f990,plain,
( ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f989]) ).
fof(f991,plain,
( sk6 != sk6
| ~ ssList(sk12(sk6,sk5))
| ~ ssItem(sk11(sk6,sk5))
| ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_63
| ~ spl0_64
| ~ spl0_69
| ~ spl0_72 ),
inference(superposition,[],[f988,f969]) ).
fof(f992,plain,
( ~ ssList(sk12(sk6,sk5))
| ~ ssItem(sk11(sk6,sk5))
| ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_63
| ~ spl0_64
| ~ spl0_69
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f991]) ).
fof(f993,plain,
( ~ ssItem(sk11(sk6,sk5))
| ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_63
| ~ spl0_64
| ~ spl0_65
| ~ spl0_69
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f992,f876]) ).
fof(f994,plain,
( ~ lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ~ spl0_63
| ~ spl0_64
| ~ spl0_65
| ~ spl0_67
| ~ spl0_69
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f993,f900]) ).
fof(f997,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_16 ),
inference(superposition,[],[f604,f209]) ).
fof(f998,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f997]) ).
fof(f999,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_22 ),
inference(superposition,[],[f628,f209]) ).
fof(f1000,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f999]) ).
fof(f1001,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1000,f206]) ).
fof(f1002,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1001,f207]) ).
fof(f1003,plain,
( spl0_66
| spl0_72
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1002,f627,f967,f883]) ).
fof(f1004,plain,
( sk4 != sk4
| ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_25 ),
inference(superposition,[],[f640,f209]) ).
fof(f1005,plain,
( ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1004]) ).
fof(f1006,plain,
( sk4 != sk4
| ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_26 ),
inference(superposition,[],[f644,f209]) ).
fof(f1007,plain,
( ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1006]) ).
fof(f1008,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_29 ),
inference(superposition,[],[f656,f209]) ).
fof(f1009,plain,
( ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1008]) ).
fof(f1010,plain,
( sk4 != sk4
| ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_32 ),
inference(superposition,[],[f668,f209]) ).
fof(f1011,plain,
( ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1010]) ).
fof(f1012,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_34 ),
inference(superposition,[],[f676,f209]) ).
fof(f1013,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f1012]) ).
fof(f1014,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_37 ),
inference(superposition,[],[f688,f209]) ).
fof(f1015,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1014]) ).
fof(f1016,plain,
( ssList(sk8(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_37
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1015,f968]) ).
fof(f1017,plain,
( ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_37
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1016,f206]) ).
fof(f1018,plain,
( ssList(sk8(sk6,sk5))
| ~ spl0_37
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1017,f207]) ).
fof(f1019,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_40 ),
inference(superposition,[],[f700,f209]) ).
fof(f1020,plain,
( ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1019]) ).
fof(f1021,plain,
( sk4 != sk4
| ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_43 ),
inference(superposition,[],[f712,f209]) ).
fof(f1022,plain,
( ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1021]) ).
fof(f1023,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_46 ),
inference(superposition,[],[f724,f209]) ).
fof(f1024,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1023]) ).
fof(f1025,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_49 ),
inference(superposition,[],[f736,f209]) ).
fof(f1026,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1025]) ).
fof(f1027,plain,
( ssItem(sk7(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_49
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1026,f968]) ).
fof(f1028,plain,
( ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_49
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1027,f206]) ).
fof(f1029,plain,
( ssItem(sk7(sk6,sk5))
| ~ spl0_49
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1028,f207]) ).
fof(f1030,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_4 ),
inference(superposition,[],[f556,f209]) ).
fof(f1031,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1030]) ).
fof(f1032,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_5 ),
inference(superposition,[],[f560,f209]) ).
fof(f1033,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1032]) ).
fof(f1034,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_19 ),
inference(superposition,[],[f616,f209]) ).
fof(f1035,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1034]) ).
fof(f1036,plain,
( lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_19
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1035,f968]) ).
fof(f1037,plain,
( lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_19
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1036,f206]) ).
fof(f1038,plain,
( lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_19
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1037,f207]) ).
fof(f1039,plain,
( sk4 != sk4
| lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_23 ),
inference(superposition,[],[f632,f209]) ).
fof(f1040,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1039]) ).
fof(f1041,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_6 ),
inference(superposition,[],[f564,f209]) ).
fof(f1042,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1041]) ).
fof(f1043,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_20 ),
inference(superposition,[],[f620,f209]) ).
fof(f1044,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1043]) ).
fof(f1045,plain,
( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_20
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1044,f968]) ).
fof(f1046,plain,
( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_20
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1045,f206]) ).
fof(f1047,plain,
( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_20
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1046,f207]) ).
fof(f1048,plain,
( sk4 != sk4
| sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_24 ),
inference(superposition,[],[f636,f209]) ).
fof(f1049,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1048]) ).
fof(f1062,plain,
( sk4 != sk4
| sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_27 ),
inference(superposition,[],[f648,f209]) ).
fof(f1063,plain,
( sk6 = app(cons(sk11(sk6,sk5),nil),sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1062]) ).
fof(f1064,plain,
( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_27
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1063,f968]) ).
fof(f1065,plain,
( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_27
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1064,f206]) ).
fof(f1066,plain,
( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_27
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1065,f207]) ).
fof(f1068,plain,
( ! [X0,X1] :
( sk5 != sk5
| ~ ssList(sk8(sk6,sk5))
| ~ ssItem(sk7(sk6,sk5))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_27
| spl0_72 ),
inference(superposition,[],[f212,f1066]) ).
fof(f1069,plain,
( ! [X0,X1] :
( ~ ssList(sk8(sk6,sk5))
| ~ ssItem(sk7(sk6,sk5))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_27
| spl0_72 ),
inference(trivial_inequality_removal,[],[f1068]) ).
fof(f1070,plain,
( ! [X0,X1] :
( ~ ssItem(sk7(sk6,sk5))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_27
| ~ spl0_37
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1069,f1018]) ).
fof(f1071,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1070,f1029]) ).
fof(f1072,plain,
( sk3 != sk3
| ~ ssList(sk10(sk6,sk5))
| ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| spl0_72 ),
inference(superposition,[],[f1071,f1047]) ).
fof(f1073,plain,
( ~ ssList(sk10(sk6,sk5))
| ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| spl0_72 ),
inference(trivial_inequality_removal,[],[f1072]) ).
fof(f1074,plain,
( ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| ~ spl0_62
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1073,f850]) ).
fof(f1075,plain,
( ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| ~ spl0_62
| ~ spl0_66
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1074,f885]) ).
fof(f1076,plain,
( $false
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| ~ spl0_62
| ~ spl0_66
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f1075,f1038]) ).
fof(f1077,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| ~ spl0_62
| ~ spl0_66
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1083,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f998,f206]) ).
fof(f1084,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1013,f206]) ).
fof(f1085,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1024,f206]) ).
fof(f1086,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1031,f206]) ).
fof(f1087,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1042,f206]) ).
fof(f1088,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1049,f206]) ).
fof(f1094,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk9(sk6,sk5))
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1083,f207]) ).
fof(f1095,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssList(sk8(sk6,sk5))
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1084,f207]) ).
fof(f1096,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| ssItem(sk7(sk6,sk5))
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1085,f207]) ).
fof(f1097,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1086,f207]) ).
fof(f1098,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1087,f207]) ).
fof(f1099,plain,
( sk3 = app(sk14(sk6,sk5),cons(sk13(sk6,sk5),nil))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1088,f207]) ).
fof(f1101,definition,
( spl0_75
<=> ssList(sk8(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f1103,plain,
( ssList(sk8(sk6,sk5))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1106,definition,
( spl0_76
<=> ssItem(sk7(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f1108,plain,
( ssItem(sk7(sk6,sk5))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1111,definition,
( spl0_77
<=> lt(sk7(sk6,sk5),sk9(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f1116,definition,
( spl0_78
<=> sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f1118,plain,
( sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1121,definition,
( spl0_79
<=> sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f1123,plain,
( sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1125,plain,
( spl0_66
| spl0_69
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1094,f603,f945,f883]) ).
fof(f1126,plain,
( spl0_75
| spl0_69
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1095,f675,f945,f1101]) ).
fof(f1127,plain,
( spl0_76
| spl0_69
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1096,f723,f945,f1106]) ).
fof(f1128,plain,
( spl0_77
| spl0_69
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1097,f555,f945,f1111]) ).
fof(f1129,plain,
( spl0_78
| spl0_69
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1098,f563,f945,f1116]) ).
fof(f1130,plain,
( spl0_79
| spl0_69
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1099,f635,f945,f1121]) ).
fof(f1131,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f866,f206]) ).
fof(f1132,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f888,f206]) ).
fof(f1133,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f910,f206]) ).
fof(f1134,plain,
( ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f918,f206]) ).
fof(f1135,plain,
( ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f939,f206]) ).
fof(f1136,plain,
( ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1005,f206]) ).
fof(f1137,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1131,f207]) ).
fof(f1138,plain,
( ssList(sk14(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1132,f207]) ).
fof(f1139,plain,
( ssList(sk14(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1133,f207]) ).
fof(f1140,plain,
( ssList(sk14(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1134,f207]) ).
fof(f1141,plain,
( ssList(sk14(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1135,f207]) ).
fof(f1142,plain,
( ssList(sk14(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1136,f207]) ).
fof(f1143,plain,
( spl0_66
| spl0_63
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1137,f607,f852,f883]) ).
fof(f1144,plain,
( spl0_75
| spl0_63
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1138,f679,f852,f1101]) ).
fof(f1145,plain,
( spl0_76
| spl0_63
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1139,f727,f852,f1106]) ).
fof(f1146,plain,
( spl0_77
| spl0_63
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1140,f567,f852,f1111]) ).
fof(f1147,plain,
( spl0_78
| spl0_63
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1141,f571,f852,f1116]) ).
fof(f1148,plain,
( spl0_79
| spl0_63
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1142,f639,f852,f1121]) ).
fof(f1150,plain,
( ~ spl0_68
| ~ spl0_63
| ~ spl0_64
| ~ spl0_65
| ~ spl0_67
| ~ spl0_69
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f994,f967,f945,f898,f874,f861,f852,f924]) ).
fof(f1151,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f931,f206]) ).
fof(f1152,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f937,f206]) ).
fof(f1153,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f979,f206]) ).
fof(f1154,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f983,f206]) ).
fof(f1155,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1033,f206]) ).
fof(f1156,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1040,f206]) ).
fof(f1157,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1151,f207]) ).
fof(f1158,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1152,f207]) ).
fof(f1159,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1153,f207]) ).
fof(f1160,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1154,f207]) ).
fof(f1161,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1155,f207]) ).
fof(f1162,plain,
( lt(sk13(sk6,sk5),sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1156,f207]) ).
fof(f1163,plain,
( spl0_75
| spl0_68
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1157,f671,f924,f1101]) ).
fof(f1164,plain,
( spl0_77
| spl0_68
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1158,f551,f924,f1111]) ).
fof(f1165,plain,
( spl0_66
| spl0_68
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1159,f599,f924,f883]) ).
fof(f1166,plain,
( spl0_76
| spl0_68
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1160,f719,f924,f1106]) ).
fof(f1167,plain,
( spl0_78
| spl0_68
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1161,f559,f924,f1116]) ).
fof(f1168,plain,
( spl0_79
| spl0_68
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1162,f631,f924,f1121]) ).
fof(f1169,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f868,f206]) ).
fof(f1170,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f890,f206]) ).
fof(f1171,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f912,f206]) ).
fof(f1172,plain,
( ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f977,f206]) ).
fof(f1173,plain,
( ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f990,f206]) ).
fof(f1174,plain,
( ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1007,f206]) ).
fof(f1175,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk9(sk6,sk5))
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1169,f207]) ).
fof(f1176,plain,
( ssItem(sk13(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1170,f207]) ).
fof(f1177,plain,
( ssItem(sk13(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1171,f207]) ).
fof(f1178,plain,
( ssItem(sk13(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1172,f207]) ).
fof(f1179,plain,
( ssItem(sk13(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1173,f207]) ).
fof(f1180,plain,
( ssItem(sk13(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1174,f207]) ).
fof(f1181,plain,
( spl0_66
| spl0_64
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1175,f611,f861,f883]) ).
fof(f1182,plain,
( spl0_75
| spl0_64
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1176,f683,f861,f1101]) ).
fof(f1183,plain,
( spl0_76
| spl0_64
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1177,f731,f861,f1106]) ).
fof(f1184,plain,
( spl0_77
| spl0_64
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1178,f587,f861,f1111]) ).
fof(f1185,plain,
( spl0_78
| spl0_64
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1179,f591,f861,f1116]) ).
fof(f1186,plain,
( spl0_79
| spl0_64
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1180,f643,f861,f1121]) ).
fof(f1226,plain,
( ! [X0,X1] :
( sk5 != sk5
| ~ ssList(sk8(sk6,sk5))
| ~ ssItem(sk7(sk6,sk5))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_79 ),
inference(superposition,[],[f212,f1123]) ).
fof(f1227,plain,
( ! [X0,X1] :
( ~ ssList(sk8(sk6,sk5))
| ~ ssItem(sk7(sk6,sk5))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f1226]) ).
fof(f1228,plain,
( ! [X0,X1] :
( ~ ssItem(sk7(sk6,sk5))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_75
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1227,f1103]) ).
fof(f1229,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(sk7(sk6,sk5),X0) )
| ~ spl0_75
| ~ spl0_76
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1228,f1108]) ).
fof(f1231,plain,
( sk3 != sk3
| ~ ssList(sk10(sk6,sk5))
| ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_75
| ~ spl0_76
| ~ spl0_78
| ~ spl0_79 ),
inference(superposition,[],[f1229,f1118]) ).
fof(f1232,plain,
( ~ ssList(sk10(sk6,sk5))
| ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_75
| ~ spl0_76
| ~ spl0_78
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f1231]) ).
fof(f1233,plain,
( ~ ssItem(sk9(sk6,sk5))
| ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_62
| ~ spl0_75
| ~ spl0_76
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1232,f850]) ).
fof(f1235,plain,
( ~ lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_62
| ~ spl0_66
| ~ spl0_75
| ~ spl0_76
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1233,f885]) ).
fof(f1245,plain,
( ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1022,f206]) ).
fof(f1246,plain,
( ssItem(sk11(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1245,f207]) ).
fof(f1247,plain,
( spl0_79
| spl0_67
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1246,f711,f898,f1121]) ).
fof(f1248,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f908,f206]) ).
fof(f1249,plain,
( ssItem(sk11(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1248,f207]) ).
fof(f1250,plain,
( spl0_75
| spl0_67
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1249,f715,f898,f1101]) ).
fof(f1251,plain,
( ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1020,f206]) ).
fof(f1252,plain,
( ssItem(sk11(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1251,f207]) ).
fof(f1253,plain,
( spl0_78
| spl0_67
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1252,f699,f898,f1116]) ).
fof(f1254,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f916,f206]) ).
fof(f1255,plain,
( ssItem(sk11(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f1254,f207]) ).
fof(f1256,plain,
( spl0_76
| spl0_67
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1255,f795,f898,f1106]) ).
fof(f1258,plain,
( ~ spl0_77
| ~ spl0_62
| ~ spl0_66
| ~ spl0_75
| ~ spl0_76
| ~ spl0_78
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1235,f1121,f1116,f1106,f1101,f883,f848,f1111]) ).
fof(f1259,plain,
( ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f981,f206]) ).
fof(f1260,plain,
( ssItem(sk11(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1259,f207]) ).
fof(f1261,plain,
( spl0_77
| spl0_67
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1260,f695,f898,f1111]) ).
fof(f1262,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f892,f206]) ).
fof(f1263,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f914,f206]) ).
fof(f1264,plain,
( ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f929,f206]) ).
fof(f1265,plain,
( ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ ssList(sk6)
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1009,f206]) ).
fof(f1266,plain,
( ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ ssList(sk6)
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1011,f206]) ).
fof(f1267,plain,
( ssList(sk12(sk6,sk5))
| ssList(sk8(sk6,sk5))
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1262,f207]) ).
fof(f1268,plain,
( ssList(sk12(sk6,sk5))
| ssItem(sk7(sk6,sk5))
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1263,f207]) ).
fof(f1269,plain,
( ssList(sk12(sk6,sk5))
| lt(sk7(sk6,sk5),sk9(sk6,sk5))
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1264,f207]) ).
fof(f1270,plain,
( ssList(sk12(sk6,sk5))
| sk3 = app(cons(sk9(sk6,sk5),nil),sk10(sk6,sk5))
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1265,f207]) ).
fof(f1271,plain,
( ssList(sk12(sk6,sk5))
| sk5 = app(sk8(sk6,sk5),cons(sk7(sk6,sk5),nil))
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1266,f207]) ).
fof(f1272,plain,
( spl0_75
| spl0_65
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1267,f691,f874,f1101]) ).
fof(f1273,plain,
( spl0_76
| spl0_65
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1268,f739,f874,f1106]) ).
fof(f1274,plain,
( spl0_77
| spl0_65
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1269,f651,f874,f1111]) ).
fof(f1275,plain,
( spl0_78
| spl0_65
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1270,f655,f874,f1116]) ).
fof(f1276,plain,
( spl0_79
| spl0_65
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1271,f667,f874,f1121]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f553]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f557]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f561]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f565]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f569]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f573]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f577]) ).
cnf(s8,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f581]) ).
cnf(s9,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f585]) ).
cnf(s10,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f589]) ).
cnf(s11,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f593]) ).
cnf(s12,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f597]) ).
cnf(s13,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_15 ),
inference(sat_conversion,[],[f601]) ).
cnf(s14,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_16 ),
inference(sat_conversion,[],[f605]) ).
cnf(s15,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_17 ),
inference(sat_conversion,[],[f609]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_18 ),
inference(sat_conversion,[],[f613]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_19 ),
inference(sat_conversion,[],[f617]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_20 ),
inference(sat_conversion,[],[f621]) ).
cnf(s19,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_21 ),
inference(sat_conversion,[],[f625]) ).
cnf(s20,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_22 ),
inference(sat_conversion,[],[f629]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_23 ),
inference(sat_conversion,[],[f633]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_24 ),
inference(sat_conversion,[],[f637]) ).
cnf(s23,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_25 ),
inference(sat_conversion,[],[f641]) ).
cnf(s24,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_26 ),
inference(sat_conversion,[],[f645]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_27 ),
inference(sat_conversion,[],[f649]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_28 ),
inference(sat_conversion,[],[f653]) ).
cnf(s27,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_29 ),
inference(sat_conversion,[],[f657]) ).
cnf(s28,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_30 ),
inference(sat_conversion,[],[f661]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f665]) ).
cnf(s30,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_32 ),
inference(sat_conversion,[],[f669]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_33 ),
inference(sat_conversion,[],[f673]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_34 ),
inference(sat_conversion,[],[f677]) ).
cnf(s33,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_35 ),
inference(sat_conversion,[],[f681]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_36 ),
inference(sat_conversion,[],[f685]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_37 ),
inference(sat_conversion,[],[f689]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_38 ),
inference(sat_conversion,[],[f693]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_39 ),
inference(sat_conversion,[],[f697]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_40 ),
inference(sat_conversion,[],[f701]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_41 ),
inference(sat_conversion,[],[f705]) ).
cnf(s40,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_42 ),
inference(sat_conversion,[],[f709]) ).
cnf(s41,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_43 ),
inference(sat_conversion,[],[f713]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_44 ),
inference(sat_conversion,[],[f717]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_45 ),
inference(sat_conversion,[],[f721]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_46 ),
inference(sat_conversion,[],[f725]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_47 ),
inference(sat_conversion,[],[f729]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_48 ),
inference(sat_conversion,[],[f733]) ).
cnf(s47,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_49 ),
inference(sat_conversion,[],[f737]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_50 ),
inference(sat_conversion,[],[f741]) ).
cnf(s49,plain,
( ~ spl0_2
| spl0_3
| spl0_51 ),
inference(sat_conversion,[],[f746]) ).
cnf(s50,plain,
( ~ spl0_2
| spl0_4
| spl0_51 ),
inference(sat_conversion,[],[f747]) ).
cnf(s51,plain,
( ~ spl0_2
| spl0_5
| spl0_51 ),
inference(sat_conversion,[],[f748]) ).
cnf(s52,plain,
( ~ spl0_2
| spl0_6
| spl0_51 ),
inference(sat_conversion,[],[f749]) ).
cnf(s53,plain,
( ~ spl0_2
| spl0_7
| spl0_51 ),
inference(sat_conversion,[],[f750]) ).
cnf(s54,plain,
( ~ spl0_2
| spl0_8
| spl0_51 ),
inference(sat_conversion,[],[f751]) ).
cnf(s55,plain,
( ~ spl0_2
| spl0_9
| spl0_51 ),
inference(sat_conversion,[],[f752]) ).
cnf(s56,plain,
( ~ spl0_2
| spl0_10
| spl0_51 ),
inference(sat_conversion,[],[f753]) ).
cnf(s57,plain,
( ~ spl0_2
| spl0_11
| spl0_51 ),
inference(sat_conversion,[],[f754]) ).
cnf(s58,plain,
( ~ spl0_2
| spl0_12
| spl0_51 ),
inference(sat_conversion,[],[f755]) ).
cnf(s59,plain,
( ~ spl0_2
| spl0_13
| spl0_51 ),
inference(sat_conversion,[],[f756]) ).
cnf(s60,plain,
( ~ spl0_2
| spl0_14
| spl0_51 ),
inference(sat_conversion,[],[f757]) ).
cnf(s61,plain,
( ~ spl0_2
| spl0_15
| spl0_51 ),
inference(sat_conversion,[],[f758]) ).
cnf(s62,plain,
( ~ spl0_2
| spl0_16
| spl0_51 ),
inference(sat_conversion,[],[f759]) ).
cnf(s63,plain,
( ~ spl0_2
| spl0_17
| spl0_51 ),
inference(sat_conversion,[],[f760]) ).
cnf(s64,plain,
( ~ spl0_2
| spl0_18
| spl0_51 ),
inference(sat_conversion,[],[f761]) ).
cnf(s65,plain,
( ~ spl0_2
| spl0_19
| spl0_51 ),
inference(sat_conversion,[],[f762]) ).
cnf(s66,plain,
( ~ spl0_2
| spl0_20
| spl0_51 ),
inference(sat_conversion,[],[f763]) ).
cnf(s67,plain,
( ~ spl0_2
| spl0_21
| spl0_51 ),
inference(sat_conversion,[],[f764]) ).
cnf(s68,plain,
( ~ spl0_2
| spl0_22
| spl0_51 ),
inference(sat_conversion,[],[f765]) ).
cnf(s69,plain,
( ~ spl0_2
| spl0_23
| spl0_51 ),
inference(sat_conversion,[],[f766]) ).
cnf(s70,plain,
( ~ spl0_2
| spl0_24
| spl0_51 ),
inference(sat_conversion,[],[f767]) ).
cnf(s71,plain,
( ~ spl0_2
| spl0_25
| spl0_51 ),
inference(sat_conversion,[],[f768]) ).
cnf(s72,plain,
( ~ spl0_2
| spl0_26
| spl0_51 ),
inference(sat_conversion,[],[f769]) ).
cnf(s73,plain,
( ~ spl0_2
| spl0_27
| spl0_51 ),
inference(sat_conversion,[],[f770]) ).
cnf(s74,plain,
( ~ spl0_2
| spl0_28
| spl0_51 ),
inference(sat_conversion,[],[f771]) ).
cnf(s75,plain,
( ~ spl0_2
| spl0_29
| spl0_51 ),
inference(sat_conversion,[],[f772]) ).
cnf(s76,plain,
( ~ spl0_2
| spl0_30
| spl0_51 ),
inference(sat_conversion,[],[f773]) ).
cnf(s77,plain,
( ~ spl0_2
| spl0_31
| spl0_51 ),
inference(sat_conversion,[],[f774]) ).
cnf(s78,plain,
( ~ spl0_2
| spl0_32
| spl0_51 ),
inference(sat_conversion,[],[f775]) ).
cnf(s79,plain,
( ~ spl0_2
| spl0_33
| spl0_51 ),
inference(sat_conversion,[],[f776]) ).
cnf(s80,plain,
( ~ spl0_2
| spl0_34
| spl0_51 ),
inference(sat_conversion,[],[f777]) ).
cnf(s81,plain,
( ~ spl0_2
| spl0_35
| spl0_51 ),
inference(sat_conversion,[],[f778]) ).
cnf(s82,plain,
( ~ spl0_2
| spl0_36
| spl0_51 ),
inference(sat_conversion,[],[f779]) ).
cnf(s83,plain,
( ~ spl0_2
| spl0_37
| spl0_51 ),
inference(sat_conversion,[],[f780]) ).
cnf(s84,plain,
( ~ spl0_2
| spl0_38
| spl0_51 ),
inference(sat_conversion,[],[f781]) ).
cnf(s85,plain,
( ~ spl0_2
| spl0_39
| spl0_51 ),
inference(sat_conversion,[],[f782]) ).
cnf(s86,plain,
( ~ spl0_2
| spl0_40
| spl0_51 ),
inference(sat_conversion,[],[f783]) ).
cnf(s87,plain,
( ~ spl0_2
| spl0_41
| spl0_51 ),
inference(sat_conversion,[],[f784]) ).
cnf(s88,plain,
( ~ spl0_2
| spl0_42
| spl0_51 ),
inference(sat_conversion,[],[f785]) ).
cnf(s89,plain,
( ~ spl0_2
| spl0_43
| spl0_51 ),
inference(sat_conversion,[],[f786]) ).
cnf(s90,plain,
( ~ spl0_2
| spl0_44
| spl0_51 ),
inference(sat_conversion,[],[f787]) ).
cnf(s91,plain,
( ~ spl0_2
| spl0_45
| spl0_51 ),
inference(sat_conversion,[],[f788]) ).
cnf(s92,plain,
( ~ spl0_2
| spl0_46
| spl0_51 ),
inference(sat_conversion,[],[f789]) ).
cnf(s93,plain,
( ~ spl0_2
| spl0_47
| spl0_51 ),
inference(sat_conversion,[],[f790]) ).
cnf(s94,plain,
( ~ spl0_2
| spl0_48
| spl0_51 ),
inference(sat_conversion,[],[f791]) ).
cnf(s95,plain,
( ~ spl0_2
| spl0_49
| spl0_51 ),
inference(sat_conversion,[],[f792]) ).
cnf(s96,plain,
( ~ spl0_2
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f793]) ).
cnf(s97,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_52 ),
inference(sat_conversion,[],[f797]) ).
cnf(s98,plain,
( ~ spl0_2
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f798]) ).
cnf(s99,plain,
( spl0_1
| ~ spl0_51 ),
inference(sat_conversion,[],[f799]) ).
cnf(s100,plain,
spl0_2,
inference(sat_conversion,[],[f800]) ).
cnf(s111,plain,
( ~ spl0_11
| spl0_62
| spl0_63 ),
inference(sat_conversion,[],[f855]) ).
cnf(s112,plain,
( ~ spl0_14
| spl0_62
| spl0_64 ),
inference(sat_conversion,[],[f864]) ).
cnf(s113,plain,
( ~ spl0_30
| spl0_62
| spl0_65 ),
inference(sat_conversion,[],[f877]) ).
cnf(s114,plain,
( ~ spl0_31
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f886]) ).
cnf(s115,plain,
( ~ spl0_41
| spl0_62
| spl0_67 ),
inference(sat_conversion,[],[f901]) ).
cnf(s116,plain,
( ~ spl0_42
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f906]) ).
cnf(s117,plain,
( ~ spl0_9
| spl0_62
| spl0_68 ),
inference(sat_conversion,[],[f927]) ).
cnf(s118,plain,
( ~ spl0_10
| spl0_62
| spl0_69 ),
inference(sat_conversion,[],[f948]) ).
cnf(s120,plain,
( ~ spl0_21
| spl0_62
| spl0_72 ),
inference(sat_conversion,[],[f970]) ).
cnf(s123,plain,
( ~ spl0_22
| spl0_66
| spl0_72 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s125,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_37
| ~ spl0_49
| ~ spl0_62
| ~ spl0_66
| spl0_72 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s131,plain,
( ~ spl0_16
| spl0_66
| spl0_69 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s132,plain,
( ~ spl0_34
| spl0_69
| spl0_75 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s133,plain,
( ~ spl0_46
| spl0_69
| spl0_76 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s134,plain,
( ~ spl0_4
| spl0_69
| spl0_77 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s135,plain,
( ~ spl0_6
| spl0_69
| spl0_78 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s136,plain,
( ~ spl0_24
| spl0_69
| spl0_79 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s137,plain,
( ~ spl0_17
| spl0_63
| spl0_66 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s138,plain,
( ~ spl0_35
| spl0_63
| spl0_75 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s139,plain,
( ~ spl0_47
| spl0_63
| spl0_76 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s140,plain,
( ~ spl0_7
| spl0_63
| spl0_77 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s141,plain,
( ~ spl0_8
| spl0_63
| spl0_78 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s142,plain,
( ~ spl0_25
| spl0_63
| spl0_79 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s143,plain,
( ~ spl0_63
| ~ spl0_64
| ~ spl0_65
| ~ spl0_67
| ~ spl0_68
| ~ spl0_69
| ~ spl0_72 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s145,plain,
( ~ spl0_33
| spl0_68
| spl0_75 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s146,plain,
( ~ spl0_3
| spl0_68
| spl0_77 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s147,plain,
( ~ spl0_15
| spl0_66
| spl0_68 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s148,plain,
( ~ spl0_45
| spl0_68
| spl0_76 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s149,plain,
( ~ spl0_5
| spl0_68
| spl0_78 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s150,plain,
( ~ spl0_23
| spl0_68
| spl0_79 ),
inference(sat_conversion,[],[f1168]) ).
cnf(s151,plain,
( ~ spl0_18
| spl0_64
| spl0_66 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s152,plain,
( ~ spl0_36
| spl0_64
| spl0_75 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s153,plain,
( ~ spl0_48
| spl0_64
| spl0_76 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s154,plain,
( ~ spl0_12
| spl0_64
| spl0_77 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s155,plain,
( ~ spl0_13
| spl0_64
| spl0_78 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s156,plain,
( ~ spl0_26
| spl0_64
| spl0_79 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s160,plain,
( ~ spl0_43
| spl0_67
| spl0_79 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s161,plain,
( ~ spl0_44
| spl0_67
| spl0_75 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s162,plain,
( ~ spl0_40
| spl0_67
| spl0_78 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s163,plain,
( ~ spl0_52
| spl0_67
| spl0_76 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s164,plain,
( ~ spl0_62
| ~ spl0_66
| ~ spl0_75
| ~ spl0_76
| ~ spl0_77
| ~ spl0_78
| ~ spl0_79 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s166,plain,
( ~ spl0_39
| spl0_67
| spl0_77 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s167,plain,
( ~ spl0_38
| spl0_65
| spl0_75 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s168,plain,
( ~ spl0_50
| spl0_65
| spl0_76 ),
inference(sat_conversion,[],[f1273]) ).
cnf(s169,plain,
( ~ spl0_28
| spl0_65
| spl0_77 ),
inference(sat_conversion,[],[f1274]) ).
cnf(s170,plain,
( ~ spl0_29
| spl0_65
| spl0_78 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s171,plain,
( ~ spl0_32
| spl0_65
| spl0_79 ),
inference(sat_conversion,[],[f1276]) ).
cnf(s176,plain,
( spl0_51
| spl0_52 ),
inference(rat,[],[s98,s100]) ).
cnf(s177,plain,
( ~ spl0_1
| spl0_52 ),
inference(rat,[],[s97,s100]) ).
cnf(s178,plain,
( spl0_50
| spl0_51 ),
inference(rat,[],[s96,s100]) ).
cnf(s179,plain,
( spl0_49
| spl0_51 ),
inference(rat,[],[s95,s100]) ).
cnf(s180,plain,
( spl0_48
| spl0_51 ),
inference(rat,[],[s94,s100]) ).
cnf(s181,plain,
( spl0_47
| spl0_51 ),
inference(rat,[],[s93,s100]) ).
cnf(s182,plain,
( spl0_46
| spl0_51 ),
inference(rat,[],[s92,s100]) ).
cnf(s183,plain,
( spl0_45
| spl0_51 ),
inference(rat,[],[s91,s100]) ).
cnf(s184,plain,
( spl0_44
| spl0_51 ),
inference(rat,[],[s90,s100]) ).
cnf(s185,plain,
( spl0_43
| spl0_51 ),
inference(rat,[],[s89,s100]) ).
cnf(s186,plain,
( spl0_42
| spl0_51 ),
inference(rat,[],[s88,s100]) ).
cnf(s187,plain,
( spl0_41
| spl0_51 ),
inference(rat,[],[s87,s100]) ).
cnf(s188,plain,
( spl0_40
| spl0_51 ),
inference(rat,[],[s86,s100]) ).
cnf(s189,plain,
( spl0_39
| spl0_51 ),
inference(rat,[],[s85,s100]) ).
cnf(s190,plain,
( spl0_38
| spl0_51 ),
inference(rat,[],[s84,s100]) ).
cnf(s191,plain,
( spl0_37
| spl0_51 ),
inference(rat,[],[s83,s100]) ).
cnf(s192,plain,
( spl0_36
| spl0_51 ),
inference(rat,[],[s82,s100]) ).
cnf(s193,plain,
( spl0_35
| spl0_51 ),
inference(rat,[],[s81,s100]) ).
cnf(s194,plain,
( spl0_34
| spl0_51 ),
inference(rat,[],[s80,s100]) ).
cnf(s195,plain,
( spl0_33
| spl0_51 ),
inference(rat,[],[s79,s100]) ).
cnf(s196,plain,
( spl0_32
| spl0_51 ),
inference(rat,[],[s78,s100]) ).
cnf(s197,plain,
( spl0_31
| spl0_51 ),
inference(rat,[],[s77,s100]) ).
cnf(s198,plain,
( spl0_30
| spl0_51 ),
inference(rat,[],[s76,s100]) ).
cnf(s199,plain,
( spl0_29
| spl0_51 ),
inference(rat,[],[s75,s100]) ).
cnf(s200,plain,
( spl0_28
| spl0_51 ),
inference(rat,[],[s74,s100]) ).
cnf(s201,plain,
( spl0_27
| spl0_51 ),
inference(rat,[],[s73,s100]) ).
cnf(s202,plain,
( spl0_26
| spl0_51 ),
inference(rat,[],[s72,s100]) ).
cnf(s203,plain,
( spl0_25
| spl0_51 ),
inference(rat,[],[s71,s100]) ).
cnf(s204,plain,
( spl0_24
| spl0_51 ),
inference(rat,[],[s70,s100]) ).
cnf(s205,plain,
( spl0_23
| spl0_51 ),
inference(rat,[],[s69,s100]) ).
cnf(s206,plain,
( spl0_22
| spl0_51 ),
inference(rat,[],[s68,s100]) ).
cnf(s207,plain,
( spl0_21
| spl0_51 ),
inference(rat,[],[s67,s100]) ).
cnf(s208,plain,
( spl0_20
| spl0_51 ),
inference(rat,[],[s66,s100]) ).
cnf(s209,plain,
( spl0_19
| spl0_51 ),
inference(rat,[],[s65,s100]) ).
cnf(s210,plain,
( spl0_18
| spl0_51 ),
inference(rat,[],[s64,s100]) ).
cnf(s211,plain,
( spl0_17
| spl0_51 ),
inference(rat,[],[s63,s100]) ).
cnf(s212,plain,
( spl0_16
| spl0_51 ),
inference(rat,[],[s62,s100]) ).
cnf(s213,plain,
( spl0_15
| spl0_51 ),
inference(rat,[],[s61,s100]) ).
cnf(s214,plain,
( spl0_14
| spl0_51 ),
inference(rat,[],[s60,s100]) ).
cnf(s215,plain,
( spl0_13
| spl0_51 ),
inference(rat,[],[s59,s100]) ).
cnf(s216,plain,
( spl0_12
| spl0_51 ),
inference(rat,[],[s58,s100]) ).
cnf(s217,plain,
( spl0_11
| spl0_51 ),
inference(rat,[],[s57,s100]) ).
cnf(s218,plain,
( spl0_10
| spl0_51 ),
inference(rat,[],[s56,s100]) ).
cnf(s219,plain,
( spl0_9
| spl0_51 ),
inference(rat,[],[s55,s100]) ).
cnf(s220,plain,
( spl0_8
| spl0_51 ),
inference(rat,[],[s54,s100]) ).
cnf(s221,plain,
( spl0_7
| spl0_51 ),
inference(rat,[],[s53,s100]) ).
cnf(s222,plain,
( spl0_6
| spl0_51 ),
inference(rat,[],[s52,s100]) ).
cnf(s223,plain,
( spl0_5
| spl0_51 ),
inference(rat,[],[s51,s100]) ).
cnf(s224,plain,
( spl0_4
| spl0_51 ),
inference(rat,[],[s50,s100]) ).
cnf(s225,plain,
( spl0_3
| spl0_51 ),
inference(rat,[],[s49,s100]) ).
cnf(s226,plain,
( ~ spl0_1
| spl0_50 ),
inference(rat,[],[s48,s100]) ).
cnf(s227,plain,
( ~ spl0_1
| spl0_49 ),
inference(rat,[],[s47,s100]) ).
cnf(s228,plain,
( ~ spl0_1
| spl0_48 ),
inference(rat,[],[s46,s100]) ).
cnf(s229,plain,
( ~ spl0_1
| spl0_47 ),
inference(rat,[],[s45,s100]) ).
cnf(s230,plain,
( ~ spl0_1
| spl0_46 ),
inference(rat,[],[s44,s100]) ).
cnf(s231,plain,
( ~ spl0_1
| spl0_45 ),
inference(rat,[],[s43,s100]) ).
cnf(s232,plain,
( ~ spl0_1
| spl0_44 ),
inference(rat,[],[s42,s100]) ).
cnf(s233,plain,
( ~ spl0_1
| spl0_43 ),
inference(rat,[],[s41,s100]) ).
cnf(s234,plain,
( ~ spl0_1
| spl0_42 ),
inference(rat,[],[s40,s100]) ).
cnf(s235,plain,
( ~ spl0_1
| spl0_41 ),
inference(rat,[],[s39,s100]) ).
cnf(s236,plain,
( ~ spl0_1
| spl0_40 ),
inference(rat,[],[s38,s100]) ).
cnf(s237,plain,
( ~ spl0_1
| spl0_39 ),
inference(rat,[],[s37,s100]) ).
cnf(s238,plain,
( ~ spl0_1
| spl0_38 ),
inference(rat,[],[s36,s100]) ).
cnf(s239,plain,
( ~ spl0_1
| spl0_37 ),
inference(rat,[],[s35,s100]) ).
cnf(s240,plain,
( ~ spl0_1
| spl0_36 ),
inference(rat,[],[s34,s100]) ).
cnf(s241,plain,
( ~ spl0_1
| spl0_35 ),
inference(rat,[],[s33,s100]) ).
cnf(s242,plain,
( ~ spl0_1
| spl0_34 ),
inference(rat,[],[s32,s100]) ).
cnf(s243,plain,
( ~ spl0_1
| spl0_33 ),
inference(rat,[],[s31,s100]) ).
cnf(s244,plain,
( ~ spl0_1
| spl0_32 ),
inference(rat,[],[s30,s100]) ).
cnf(s245,plain,
( ~ spl0_1
| spl0_31 ),
inference(rat,[],[s29,s100]) ).
cnf(s246,plain,
( ~ spl0_1
| spl0_30 ),
inference(rat,[],[s28,s100]) ).
cnf(s247,plain,
( ~ spl0_1
| spl0_29 ),
inference(rat,[],[s27,s100]) ).
cnf(s248,plain,
( ~ spl0_1
| spl0_28 ),
inference(rat,[],[s26,s100]) ).
cnf(s249,plain,
( ~ spl0_1
| spl0_27 ),
inference(rat,[],[s25,s100]) ).
cnf(s250,plain,
( ~ spl0_1
| spl0_26 ),
inference(rat,[],[s24,s100]) ).
cnf(s251,plain,
( ~ spl0_1
| spl0_25 ),
inference(rat,[],[s23,s100]) ).
cnf(s252,plain,
( ~ spl0_1
| spl0_24 ),
inference(rat,[],[s22,s100]) ).
cnf(s253,plain,
( ~ spl0_1
| spl0_23 ),
inference(rat,[],[s21,s100]) ).
cnf(s254,plain,
( ~ spl0_1
| spl0_22 ),
inference(rat,[],[s20,s100]) ).
cnf(s255,plain,
( ~ spl0_1
| spl0_21 ),
inference(rat,[],[s19,s100]) ).
cnf(s256,plain,
( ~ spl0_1
| spl0_20 ),
inference(rat,[],[s18,s100]) ).
cnf(s257,plain,
( ~ spl0_1
| spl0_19 ),
inference(rat,[],[s17,s100]) ).
cnf(s258,plain,
( ~ spl0_1
| spl0_18 ),
inference(rat,[],[s16,s100]) ).
cnf(s259,plain,
( ~ spl0_1
| spl0_17 ),
inference(rat,[],[s15,s100]) ).
cnf(s260,plain,
( ~ spl0_1
| spl0_16 ),
inference(rat,[],[s14,s100]) ).
cnf(s261,plain,
( ~ spl0_1
| spl0_15 ),
inference(rat,[],[s13,s100]) ).
cnf(s262,plain,
( ~ spl0_1
| spl0_14 ),
inference(rat,[],[s12,s100]) ).
cnf(s263,plain,
( ~ spl0_1
| spl0_13 ),
inference(rat,[],[s11,s100]) ).
cnf(s264,plain,
( ~ spl0_1
| spl0_12 ),
inference(rat,[],[s10,s100]) ).
cnf(s265,plain,
( ~ spl0_1
| spl0_11 ),
inference(rat,[],[s9,s100]) ).
cnf(s266,plain,
( ~ spl0_1
| spl0_10 ),
inference(rat,[],[s8,s100]) ).
cnf(s267,plain,
( ~ spl0_1
| spl0_9 ),
inference(rat,[],[s7,s100]) ).
cnf(s268,plain,
( ~ spl0_1
| spl0_8 ),
inference(rat,[],[s6,s100]) ).
cnf(s269,plain,
( ~ spl0_1
| spl0_7 ),
inference(rat,[],[s5,s100]) ).
cnf(s270,plain,
( ~ spl0_1
| spl0_6 ),
inference(rat,[],[s4,s100]) ).
cnf(s271,plain,
( ~ spl0_1
| spl0_5 ),
inference(rat,[],[s3,s100]) ).
cnf(s272,plain,
( ~ spl0_1
| spl0_4 ),
inference(rat,[],[s2,s100]) ).
cnf(s273,plain,
( ~ spl0_1
| spl0_3 ),
inference(rat,[],[s1,s100]) ).
cnf(s274,plain,
( spl0_62
| spl0_51 ),
inference(rat,[],[s143,s111,s112,s113,s115,s117,s118,s120,s187,s198,s207,s214,s217,s218,s219]) ).
cnf(s275,plain,
( spl0_72
| spl0_51 ),
inference(rat,[],[s125,s123,s179,s191,s201,s206,s208,s209,s274]) ).
cnf(s276,plain,
( spl0_69
| spl0_51 ),
inference(rat,[],[s164,s131,s132,s133,s134,s135,s136,s182,s194,s204,s212,s222,s224,s274]) ).
cnf(s277,plain,
( spl0_68
| spl0_51 ),
inference(rat,[],[s164,s147,s145,s146,s148,s149,s150,s183,s195,s205,s213,s223,s225,s274]) ).
cnf(s278,plain,
( spl0_67
| spl0_51 ),
inference(rat,[],[s164,s116,s160,s161,s162,s163,s166,s176,s184,s185,s186,s188,s189,s274]) ).
cnf(s279,plain,
( spl0_65
| spl0_51 ),
inference(rat,[],[s164,s114,s167,s168,s169,s170,s171,s178,s190,s196,s197,s199,s200,s274]) ).
cnf(s280,plain,
( spl0_64
| spl0_51 ),
inference(rat,[],[s164,s151,s152,s153,s154,s155,s156,s180,s192,s202,s210,s215,s216,s274]) ).
cnf(s281,plain,
spl0_51,
inference(rat,[],[s164,s137,s138,s139,s140,s141,s142,s143,s280,s279,s278,s277,s276,s275,s274,s221,s220,s211,s203,s193,s181]) ).
cnf(s282,plain,
spl0_1,
inference(rat,[],[s99,s281]) ).
cnf(s283,plain,
spl0_52,
inference(rat,[],[s177,s282]) ).
cnf(s284,plain,
spl0_50,
inference(rat,[],[s226,s282]) ).
cnf(s285,plain,
spl0_49,
inference(rat,[],[s227,s282]) ).
cnf(s286,plain,
spl0_48,
inference(rat,[],[s228,s282]) ).
cnf(s287,plain,
spl0_47,
inference(rat,[],[s229,s282]) ).
cnf(s288,plain,
spl0_46,
inference(rat,[],[s230,s282]) ).
cnf(s289,plain,
spl0_45,
inference(rat,[],[s231,s282]) ).
cnf(s290,plain,
spl0_44,
inference(rat,[],[s232,s282]) ).
cnf(s291,plain,
spl0_43,
inference(rat,[],[s233,s282]) ).
cnf(s292,plain,
spl0_42,
inference(rat,[],[s234,s282]) ).
cnf(s293,plain,
spl0_41,
inference(rat,[],[s235,s282]) ).
cnf(s294,plain,
spl0_40,
inference(rat,[],[s236,s282]) ).
cnf(s295,plain,
spl0_39,
inference(rat,[],[s237,s282]) ).
cnf(s296,plain,
spl0_38,
inference(rat,[],[s238,s282]) ).
cnf(s297,plain,
spl0_37,
inference(rat,[],[s239,s282]) ).
cnf(s298,plain,
spl0_36,
inference(rat,[],[s240,s282]) ).
cnf(s299,plain,
spl0_35,
inference(rat,[],[s241,s282]) ).
cnf(s300,plain,
spl0_34,
inference(rat,[],[s242,s282]) ).
cnf(s301,plain,
spl0_33,
inference(rat,[],[s243,s282]) ).
cnf(s302,plain,
spl0_32,
inference(rat,[],[s244,s282]) ).
cnf(s303,plain,
spl0_31,
inference(rat,[],[s245,s282]) ).
cnf(s304,plain,
spl0_30,
inference(rat,[],[s246,s282]) ).
cnf(s305,plain,
spl0_29,
inference(rat,[],[s247,s282]) ).
cnf(s306,plain,
spl0_28,
inference(rat,[],[s248,s282]) ).
cnf(s307,plain,
spl0_27,
inference(rat,[],[s249,s282]) ).
cnf(s308,plain,
spl0_26,
inference(rat,[],[s250,s282]) ).
cnf(s309,plain,
spl0_25,
inference(rat,[],[s251,s282]) ).
cnf(s310,plain,
spl0_24,
inference(rat,[],[s252,s282]) ).
cnf(s311,plain,
spl0_23,
inference(rat,[],[s253,s282]) ).
cnf(s312,plain,
spl0_22,
inference(rat,[],[s254,s282]) ).
cnf(s313,plain,
spl0_21,
inference(rat,[],[s255,s282]) ).
cnf(s314,plain,
spl0_20,
inference(rat,[],[s256,s282]) ).
cnf(s315,plain,
spl0_19,
inference(rat,[],[s257,s282]) ).
cnf(s316,plain,
spl0_18,
inference(rat,[],[s258,s282]) ).
cnf(s317,plain,
spl0_17,
inference(rat,[],[s259,s282]) ).
cnf(s318,plain,
spl0_16,
inference(rat,[],[s260,s282]) ).
cnf(s319,plain,
spl0_15,
inference(rat,[],[s261,s282]) ).
cnf(s320,plain,
spl0_14,
inference(rat,[],[s262,s282]) ).
cnf(s321,plain,
spl0_13,
inference(rat,[],[s263,s282]) ).
cnf(s322,plain,
spl0_12,
inference(rat,[],[s264,s282]) ).
cnf(s323,plain,
spl0_11,
inference(rat,[],[s265,s282]) ).
cnf(s324,plain,
spl0_10,
inference(rat,[],[s266,s282]) ).
cnf(s325,plain,
spl0_9,
inference(rat,[],[s267,s282]) ).
cnf(s326,plain,
spl0_8,
inference(rat,[],[s268,s282]) ).
cnf(s327,plain,
spl0_7,
inference(rat,[],[s269,s282]) ).
cnf(s328,plain,
spl0_6,
inference(rat,[],[s270,s282]) ).
cnf(s329,plain,
spl0_5,
inference(rat,[],[s271,s282]) ).
cnf(s330,plain,
spl0_4,
inference(rat,[],[s272,s282]) ).
cnf(s331,plain,
spl0_3,
inference(rat,[],[s273,s282]) ).
cnf(s332,plain,
( spl0_72
| ~ spl0_62 ),
inference(rat,[],[s125,s123,s307,s297,s285,s314,s315,s312]) ).
cnf(s333,plain,
( spl0_69
| ~ spl0_62 ),
inference(rat,[],[s164,s131,s132,s133,s134,s135,s136,s318,s300,s288,s330,s328,s310]) ).
cnf(s334,plain,
( spl0_68
| ~ spl0_62 ),
inference(rat,[],[s164,s147,s145,s146,s148,s149,s150,s319,s301,s331,s289,s329,s311]) ).
cnf(s335,plain,
( spl0_67
| ~ spl0_62 ),
inference(rat,[],[s164,s116,s160,s161,s162,s163,s166,s292,s291,s290,s294,s283,s295]) ).
cnf(s336,plain,
( spl0_65
| ~ spl0_62 ),
inference(rat,[],[s164,s114,s167,s168,s169,s170,s171,s303,s296,s284,s306,s305,s302]) ).
cnf(s337,plain,
( spl0_64
| ~ spl0_62 ),
inference(rat,[],[s164,s151,s152,s153,s154,s155,s156,s316,s298,s286,s322,s321,s308]) ).
cnf(s338,plain,
~ spl0_62,
inference(rat,[],[s164,s137,s138,s139,s140,s141,s142,s143,s337,s336,s335,s334,s333,s332,s317,s299,s287,s327,s326,s309]) ).
cnf(s339,plain,
spl0_72,
inference(rat,[],[s120,s313,s338]) ).
cnf(s340,plain,
spl0_69,
inference(rat,[],[s118,s324,s338]) ).
cnf(s341,plain,
spl0_68,
inference(rat,[],[s117,s325,s338]) ).
cnf(s342,plain,
spl0_67,
inference(rat,[],[s115,s293,s338]) ).
cnf(s343,plain,
spl0_65,
inference(rat,[],[s113,s304,s338]) ).
cnf(s344,plain,
spl0_64,
inference(rat,[],[s112,s320,s338]) ).
cnf(s345,plain,
spl0_63,
inference(rat,[],[s111,s323,s338]) ).
cnf(s346,plain,
$false,
inference(rat,[],[s143,s342,s341,s343,s340,s339,s345,s344]) ).
fof(f1277,plain,
$false,
inference(avatar_sat_refutation,[],[s346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC344-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17 % Computer : n017.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 09:07:06 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.30 % (3417371)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (3417380)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2031391592:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (3417377)% WARNING: option uhcvi not known.
% 0.19/0.30 % (3417378)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3626920705:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (3417376)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=724298649_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (3417377)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2862815317:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (3417379)dis+10_1_sil=32000:sp=arity:random_seed=1782196362:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (3417382)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1873193727:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % (3417381)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=66723229:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (3417379) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3417371-3417379"...
% 0.19/0.30 % (3417382) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3417371-3417382"...
% 0.19/0.30 % (3417380)Instruction limit reached!
% 0.19/0.30 % (3417380)------------------------------
% 0.19/0.30 % (3417380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3417380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3417380)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3417380)Termination reason: Instruction limit
% 0.19/0.30 % (3417380)Termination phase: Saturation
% 0.19/0.30 % (3417380)Time elapsed: 0.031 s
% 0.19/0.30 % (3417380)Peak memory usage: 13 MB
% 0.19/0.30 % (3417380)Instructions burned: 117 (million)
% 0.19/0.30 % (3417377) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3417371-3417377"...
% 0.19/0.30 % (3417379)...printing done.
% 0.19/0.30 % (3417390)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2856949463:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.30 % (3417379)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31 % (3417379)------------------------------
% 0.19/0.31 % (3417379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (3417379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (3417379)CaDiCaL version: 2.1.3
% 0.19/0.31 % (3417379)Termination reason: Refutation
% 0.19/0.31 % (3417379)Time elapsed: 0.034 s
% 0.19/0.31 % (3417379)Peak memory usage: 13 MB
% 0.19/0.31 % (3417379)Instructions burned: 63 (million)
% 0.19/0.31 % (3417371)Success in time 0.083 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------