%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV003-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:58:52 AM UTC 2026
% Result : Unsatisfiable 241.30s 40.43s
% Output : Refutation 241.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 358
% Syntax : Number of formulae : 2472 ( 399 unt; 324 def)
% Number of atoms : 10359 (1528 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 15452 (7565 ~;7563 |; 0 &)
% ( 324 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 326 ( 324 usr; 325 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 1328 ( 0 sgn1328 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutative) ).
fof(f2,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_commutative) ).
fof(f3,axiom,
! [X2,X0,X1] : or(or(X0,X1),X2) = or(X0,or(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_associative) ).
fof(f4,axiom,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X0,and(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_associative) ).
fof(f5,axiom,
! [X0] : or(X0,ll0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_identity) ).
fof(f6,axiom,
! [X0] : and(X0,ll1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_identity) ).
fof(f7,axiom,
! [X2,X0,X1] : and(X0,or(X1,X2)) = or(and(X0,X1),and(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_distributive) ).
fof(f8,axiom,
! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X1),or(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_distributive) ).
fof(f9,axiom,
! [X0] : or(X0,not(X0)) = ll1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_complement) ).
fof(f10,plain,
! [X0] : ll1 = or(X0,not(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : and(X0,not(X0)) = ll0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_complement) ).
fof(f12,plain,
! [X0] : ll0 = and(X0,not(X0)),
inference(reorient_equations,[],[f11]) ).
fof(f14,axiom,
! [X0] : and(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_idempotent) ).
fof(f15,axiom,
! [X0] : not(not(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_involution) ).
fof(f16,axiom,
not(ll0) = ll1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ll0_inverse) ).
fof(f17,plain,
ll1 = not(ll0),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
not(ll1) = ll0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ll1_inverse) ).
fof(f19,plain,
ll0 = not(ll1),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0] : and(X0,ll0) = ll0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_boundedness) ).
fof(f23,plain,
! [X0] : ll0 = and(X0,ll0),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
! [X0,X1] : or(X0,and(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_absorption) ).
fof(f25,axiom,
! [X0,X1] : and(X0,or(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_absorption) ).
fof(f26,axiom,
! [X0,X1] : not(or(X0,X1)) = and(not(X0),not(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_demorgan) ).
fof(f27,axiom,
! [X0,X1] : not(and(X0,X1)) = or(not(X0),not(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_demorgan) ).
fof(f28,axiom,
! [X0,X1] : or(and(not(X0),X1),and(X0,not(X1))) = xor(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_definition) ).
fof(f29,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutative) ).
fof(f30,axiom,
! [X2,X0,X1] : xor(X0,xor(X1,X2)) = xor(xor(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_associative) ).
fof(f31,negated_conjecture,
xor(xor(a,b),cin) = sum_def,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_def) ).
fof(f32,negated_conjecture,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = carry_def,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',carry_def) ).
fof(f33,negated_conjecture,
not(and(a,b)) = t1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f34,negated_conjecture,
not(and(a,t1)) = t2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
fof(f35,negated_conjecture,
not(and(b,t1)) = t3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f36,negated_conjecture,
not(and(t2,t3)) = t4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4) ).
fof(f37,negated_conjecture,
not(and(t4,cin)) = t5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5) ).
fof(f38,negated_conjecture,
not(and(t4,t5)) = t6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6) ).
fof(f39,negated_conjecture,
not(and(t5,cin)) = t7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7) ).
fof(f40,negated_conjecture,
not(and(t6,t7)) = sum,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).
fof(f41,negated_conjecture,
not(and(t1,t5)) = carry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',carry) ).
fof(f42,negated_conjecture,
( sum != sum_def
| carry != carry_def ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_circuit) ).
fof(f43,plain,
( sum_def != sum
| carry_def != carry ),
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
! [X0,X1] : or(and(not(X0),X1),and(X0,not(X1))) = or(and(not(X1),X0),and(X1,not(X0))),
inference(definition_unfolding,[],[f29,f28,f28]) ).
fof(f45,plain,
! [X2,X0,X1] : or(and(not(X0),or(and(not(X1),X2),and(X1,not(X2)))),and(X0,not(or(and(not(X1),X2),and(X1,not(X2)))))) = or(and(not(or(and(not(X0),X1),and(X0,not(X1)))),X2),and(or(and(not(X0),X1),and(X0,not(X1))),not(X2))),
inference(definition_unfolding,[],[f30,f28,f28,f28,f28]) ).
fof(f46,plain,
sum_def = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(or(and(not(a),b),and(a,not(b))),not(cin))),
inference(definition_unfolding,[],[f31,f28,f28]) ).
fof(f48,definition,
( spl0_1
<=> carry_def = carry ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( carry_def != carry
| spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_2
<=> sum_def = sum ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( sum_def != sum
| spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f43,f52,f48]) ).
fof(f57,definition,
( spl0_3
<=> not(and(t1,t5)) = carry ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f59,plain,
( not(and(t1,t5)) = carry
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
spl0_3,
inference(avatar_split_clause,[],[f41,f57]) ).
fof(f62,definition,
( spl0_4
<=> not(and(t6,t7)) = sum ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f64,plain,
( not(and(t6,t7)) = sum
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
spl0_4,
inference(avatar_split_clause,[],[f40,f62]) ).
fof(f67,definition,
( spl0_5
<=> not(and(t5,cin)) = t7 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f69,plain,
( not(and(t5,cin)) = t7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
spl0_5,
inference(avatar_split_clause,[],[f39,f67]) ).
fof(f72,definition,
( spl0_6
<=> not(and(t4,t5)) = t6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f74,plain,
( not(and(t4,t5)) = t6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
spl0_6,
inference(avatar_split_clause,[],[f38,f72]) ).
fof(f77,definition,
( spl0_7
<=> not(and(t4,cin)) = t5 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f79,plain,
( not(and(t4,cin)) = t5
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
spl0_7,
inference(avatar_split_clause,[],[f37,f77]) ).
fof(f82,definition,
( spl0_8
<=> not(and(t2,t3)) = t4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f84,plain,
( not(and(t2,t3)) = t4
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
spl0_8,
inference(avatar_split_clause,[],[f36,f82]) ).
fof(f87,definition,
( spl0_9
<=> not(and(b,t1)) = t3 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f89,plain,
( not(and(b,t1)) = t3
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
spl0_9,
inference(avatar_split_clause,[],[f35,f87]) ).
fof(f92,definition,
( spl0_10
<=> not(and(a,t1)) = t2 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f94,plain,
( not(and(a,t1)) = t2
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
spl0_10,
inference(avatar_split_clause,[],[f34,f92]) ).
fof(f97,definition,
( spl0_11
<=> not(and(a,b)) = t1 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f99,plain,
( not(and(a,b)) = t1
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
spl0_11,
inference(avatar_split_clause,[],[f33,f97]) ).
fof(f102,definition,
( spl0_12
<=> or(and(cin,or(a,b)),and(not(cin),and(a,b))) = carry_def ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f104,plain,
( or(and(cin,or(a,b)),and(not(cin),and(a,b))) = carry_def
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
spl0_12,
inference(avatar_split_clause,[],[f32,f102]) ).
fof(f107,definition,
( spl0_13
<=> sum_def = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(or(and(not(a),b),and(a,not(b))),not(cin))) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f109,plain,
( sum_def = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(or(and(not(a),b),and(a,not(b))),not(cin)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
spl0_13,
inference(avatar_split_clause,[],[f46,f107]) ).
fof(f112,definition,
( spl0_14
<=> ! [X2,X0,X1] : or(and(not(X0),or(and(not(X1),X2),and(X1,not(X2)))),and(X0,not(or(and(not(X1),X2),and(X1,not(X2)))))) = or(and(not(or(and(not(X0),X1),and(X0,not(X1)))),X2),and(or(and(not(X0),X1),and(X0,not(X1))),not(X2))) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f113,plain,
( ! [X2,X0,X1] : or(and(not(X0),or(and(not(X1),X2),and(X1,not(X2)))),and(X0,not(or(and(not(X1),X2),and(X1,not(X2)))))) = or(and(not(or(and(not(X0),X1),and(X0,not(X1)))),X2),and(or(and(not(X0),X1),and(X0,not(X1))),not(X2)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
spl0_14,
inference(avatar_split_clause,[],[f45,f112]) ).
fof(f116,definition,
( spl0_15
<=> ! [X0,X1] : or(and(not(X0),X1),and(X0,not(X1))) = or(and(not(X1),X0),and(X1,not(X0))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f117,plain,
( ! [X0,X1] : or(and(not(X0),X1),and(X0,not(X1))) = or(and(not(X1),X0),and(X1,not(X0)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
spl0_15,
inference(avatar_split_clause,[],[f44,f116]) ).
fof(f120,definition,
( spl0_16
<=> ! [X0,X1] : not(and(X0,X1)) = or(not(X0),not(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f121,plain,
( ! [X0,X1] : not(and(X0,X1)) = or(not(X0),not(X1))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
spl0_16,
inference(avatar_split_clause,[],[f27,f120]) ).
fof(f124,definition,
( spl0_17
<=> ! [X0,X1] : not(or(X0,X1)) = and(not(X0),not(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f125,plain,
( ! [X0,X1] : not(or(X0,X1)) = and(not(X0),not(X1))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
spl0_17,
inference(avatar_split_clause,[],[f26,f124]) ).
fof(f128,definition,
( spl0_18
<=> ! [X0,X1] : and(X0,or(X0,X1)) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f129,plain,
( ! [X0,X1] : and(X0,or(X0,X1)) = X0
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
spl0_18,
inference(avatar_split_clause,[],[f25,f128]) ).
fof(f132,definition,
( spl0_19
<=> ! [X0,X1] : or(X0,and(X0,X1)) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0,X1] : or(X0,and(X0,X1)) = X0
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
spl0_19,
inference(avatar_split_clause,[],[f24,f132]) ).
fof(f136,definition,
( spl0_20
<=> ! [X0] : ll0 = and(X0,ll0) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f137,plain,
( ! [X0] : ll0 = and(X0,ll0)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
spl0_20,
inference(avatar_split_clause,[],[f23,f136]) ).
fof(f144,definition,
( spl0_22
<=> ll0 = not(ll1) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f146,plain,
( ll0 = not(ll1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
spl0_22,
inference(avatar_split_clause,[],[f19,f144]) ).
fof(f149,definition,
( spl0_23
<=> ll1 = not(ll0) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f151,plain,
( ll1 = not(ll0)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
spl0_23,
inference(avatar_split_clause,[],[f17,f149]) ).
fof(f154,definition,
( spl0_24
<=> ! [X0] : not(not(X0)) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f155,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
spl0_24,
inference(avatar_split_clause,[],[f15,f154]) ).
fof(f158,definition,
( spl0_25
<=> ! [X0] : and(X0,X0) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f159,plain,
( ! [X0] : and(X0,X0) = X0
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
spl0_25,
inference(avatar_split_clause,[],[f14,f158]) ).
fof(f166,definition,
( spl0_27
<=> ! [X0] : ll0 = and(X0,not(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f167,plain,
( ! [X0] : ll0 = and(X0,not(X0))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f168,plain,
spl0_27,
inference(avatar_split_clause,[],[f12,f166]) ).
fof(f170,definition,
( spl0_28
<=> ! [X0] : ll1 = or(X0,not(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f171,plain,
( ! [X0] : ll1 = or(X0,not(X0))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
spl0_28,
inference(avatar_split_clause,[],[f10,f170]) ).
fof(f174,definition,
( spl0_29
<=> ! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X1),or(X0,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f175,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X1),or(X0,X2))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
spl0_29,
inference(avatar_split_clause,[],[f8,f174]) ).
fof(f178,definition,
( spl0_30
<=> ! [X2,X0,X1] : and(X0,or(X1,X2)) = or(and(X0,X1),and(X0,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f179,plain,
( ! [X2,X0,X1] : and(X0,or(X1,X2)) = or(and(X0,X1),and(X0,X2))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
spl0_30,
inference(avatar_split_clause,[],[f7,f178]) ).
fof(f182,definition,
( spl0_31
<=> ! [X0] : and(X0,ll1) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f183,plain,
( ! [X0] : and(X0,ll1) = X0
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
spl0_31,
inference(avatar_split_clause,[],[f6,f182]) ).
fof(f186,definition,
( spl0_32
<=> ! [X0] : or(X0,ll0) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f187,plain,
( ! [X0] : or(X0,ll0) = X0
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
spl0_32,
inference(avatar_split_clause,[],[f5,f186]) ).
fof(f190,definition,
( spl0_33
<=> ! [X2,X0,X1] : and(and(X0,X1),X2) = and(X0,and(X1,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f191,plain,
( ! [X2,X0,X1] : and(and(X0,X1),X2) = and(X0,and(X1,X2))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f192,plain,
spl0_33,
inference(avatar_split_clause,[],[f4,f190]) ).
fof(f194,definition,
( spl0_34
<=> ! [X2,X0,X1] : or(or(X0,X1),X2) = or(X0,or(X1,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f195,plain,
( ! [X2,X0,X1] : or(or(X0,X1),X2) = or(X0,or(X1,X2))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
spl0_34,
inference(avatar_split_clause,[],[f3,f194]) ).
fof(f198,definition,
( spl0_35
<=> ! [X0,X1] : and(X0,X1) = and(X1,X0) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f199,plain,
( ! [X0,X1] : and(X0,X1) = and(X1,X0)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
spl0_35,
inference(avatar_split_clause,[],[f2,f198]) ).
fof(f202,definition,
( spl0_36
<=> ! [X0,X1] : or(X0,X1) = or(X1,X0) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f203,plain,
( ! [X0,X1] : or(X0,X1) = or(X1,X0)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
spl0_36,
inference(avatar_split_clause,[],[f1,f202]) ).
fof(f205,plain,
( and(t1,t5) = not(carry)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f155,f59]) ).
fof(f209,definition,
( spl0_37
<=> and(t1,t5) = not(carry) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f211,plain,
( and(t1,t5) = not(carry)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl0_37
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f205,f154,f57,f209]) ).
fof(f213,plain,
( and(t6,t7) = not(sum)
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f155,f64]) ).
fof(f215,definition,
( spl0_38
<=> and(t6,t7) = not(sum) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f217,plain,
( and(t6,t7) = not(sum)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( spl0_38
| ~ spl0_4
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f213,f154,f62,f215]) ).
fof(f219,plain,
( and(t5,cin) = not(t7)
| ~ spl0_5
| ~ spl0_24 ),
inference(superposition,[],[f155,f69]) ).
fof(f220,plain,
( not(t7) = and(cin,t5)
| ~ spl0_5
| ~ spl0_24
| ~ spl0_35 ),
inference(forward_demodulation,[],[f219,f199]) ).
fof(f222,definition,
( spl0_39
<=> not(t7) = and(cin,t5) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f224,plain,
( not(t7) = and(cin,t5)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( spl0_39
| ~ spl0_5
| ~ spl0_24
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f220,f198,f154,f67,f222]) ).
fof(f226,plain,
( and(t4,t5) = not(t6)
| ~ spl0_6
| ~ spl0_24 ),
inference(superposition,[],[f155,f74]) ).
fof(f227,plain,
( not(t6) = and(t5,t4)
| ~ spl0_6
| ~ spl0_24
| ~ spl0_35 ),
inference(forward_demodulation,[],[f226,f199]) ).
fof(f229,definition,
( spl0_40
<=> not(t6) = and(t5,t4) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f231,plain,
( not(t6) = and(t5,t4)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_24
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f227,f198,f154,f72,f229]) ).
fof(f233,plain,
( and(t4,cin) = not(t5)
| ~ spl0_7
| ~ spl0_24 ),
inference(superposition,[],[f155,f79]) ).
fof(f234,plain,
( not(t5) = and(cin,t4)
| ~ spl0_7
| ~ spl0_24
| ~ spl0_35 ),
inference(forward_demodulation,[],[f233,f199]) ).
fof(f236,definition,
( spl0_41
<=> not(t5) = and(cin,t4) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f238,plain,
( not(t5) = and(cin,t4)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,plain,
( spl0_41
| ~ spl0_7
| ~ spl0_24
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f234,f198,f154,f77,f236]) ).
fof(f240,plain,
( and(t2,t3) = not(t4)
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f155,f84]) ).
fof(f242,definition,
( spl0_42
<=> and(t2,t3) = not(t4) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f244,plain,
( and(t2,t3) = not(t4)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( spl0_42
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f240,f154,f82,f242]) ).
fof(f246,plain,
( and(b,t1) = not(t3)
| ~ spl0_9
| ~ spl0_24 ),
inference(superposition,[],[f155,f89]) ).
fof(f248,definition,
( spl0_43
<=> and(b,t1) = not(t3) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f250,plain,
( and(b,t1) = not(t3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl0_43
| ~ spl0_9
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f246,f154,f87,f248]) ).
fof(f252,plain,
( and(a,t1) = not(t2)
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f155,f94]) ).
fof(f254,definition,
( spl0_44
<=> and(a,t1) = not(t2) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f256,plain,
( and(a,t1) = not(t2)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( spl0_44
| ~ spl0_10
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f252,f154,f92,f254]) ).
fof(f258,plain,
( and(a,b) = not(t1)
| ~ spl0_11
| ~ spl0_24 ),
inference(superposition,[],[f155,f99]) ).
fof(f260,definition,
( spl0_45
<=> and(a,b) = not(t1) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f262,plain,
( and(a,b) = not(t1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl0_45
| ~ spl0_11
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f258,f154,f97,f260]) ).
fof(f270,plain,
( ll0 = and(and(a,t1),t2)
| ~ spl0_10
| ~ spl0_27 ),
inference(superposition,[],[f167,f94]) ).
fof(f271,plain,
( ll0 = and(and(a,b),t1)
| ~ spl0_11
| ~ spl0_27 ),
inference(superposition,[],[f167,f99]) ).
fof(f272,plain,
( ll0 = and(and(b,t1),t3)
| ~ spl0_9
| ~ spl0_27 ),
inference(superposition,[],[f167,f89]) ).
fof(f275,plain,
( ll0 = and(and(t4,t5),t6)
| ~ spl0_6
| ~ spl0_27 ),
inference(superposition,[],[f167,f74]) ).
fof(f276,plain,
( ll0 = and(and(t4,cin),t5)
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f167,f79]) ).
fof(f278,plain,
( ll0 = and(and(t6,t7),sum)
| ~ spl0_4
| ~ spl0_27 ),
inference(superposition,[],[f167,f64]) ).
fof(f283,plain,
( ll0 = and(t6,and(t7,sum))
| ~ spl0_4
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_demodulation,[],[f278,f191]) ).
fof(f285,plain,
( ll0 = and(t4,and(cin,t5))
| ~ spl0_7
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_demodulation,[],[f276,f191]) ).
fof(f286,plain,
( ll0 = and(t4,and(t5,t6))
| ~ spl0_6
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_demodulation,[],[f275,f191]) ).
fof(f289,plain,
( ll0 = and(b,and(t1,t3))
| ~ spl0_9
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_demodulation,[],[f272,f191]) ).
fof(f290,plain,
( ll0 = and(a,and(b,t1))
| ~ spl0_11
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_demodulation,[],[f271,f191]) ).
fof(f291,plain,
( ll0 = and(a,and(t1,t2))
| ~ spl0_10
| ~ spl0_27
| ~ spl0_33 ),
inference(forward_demodulation,[],[f270,f191]) ).
fof(f293,definition,
( spl0_46
<=> ll0 = and(t6,and(t7,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f295,plain,
( ll0 = and(t6,and(t7,sum))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,plain,
( spl0_46
| ~ spl0_4
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f283,f190,f166,f62,f293]) ).
fof(f302,plain,
( ll0 = and(t4,not(t7))
| ~ spl0_7
| ~ spl0_27
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_demodulation,[],[f285,f224]) ).
fof(f304,definition,
( spl0_48
<=> ll0 = and(t4,and(t5,t6)) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f306,plain,
( ll0 = and(t4,and(t5,t6))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,plain,
( spl0_48
| ~ spl0_6
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f286,f190,f166,f72,f304]) ).
fof(f315,definition,
( spl0_50
<=> ll0 = and(b,and(t1,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f317,plain,
( ll0 = and(b,and(t1,t3))
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
( spl0_50
| ~ spl0_9
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f289,f190,f166,f87,f315]) ).
fof(f319,plain,
( ll0 = and(a,not(t3))
| ~ spl0_11
| ~ spl0_27
| ~ spl0_33
| ~ spl0_43 ),
inference(forward_demodulation,[],[f290,f250]) ).
fof(f321,definition,
( spl0_51
<=> ll0 = and(a,and(t1,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f323,plain,
( ll0 = and(a,and(t1,t2))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f324,plain,
( spl0_51
| ~ spl0_10
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f291,f190,f166,f92,f321]) ).
fof(f326,definition,
( spl0_52
<=> ll0 = and(t4,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f328,plain,
( ll0 = and(t4,not(t7))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f329,plain,
( spl0_52
| ~ spl0_7
| ~ spl0_27
| ~ spl0_33
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f302,f222,f190,f166,f77,f326]) ).
fof(f336,definition,
( spl0_54
<=> ll0 = and(a,not(t3)) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f338,plain,
( ll0 = and(a,not(t3))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
( spl0_54
| ~ spl0_11
| ~ spl0_27
| ~ spl0_33
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f319,f248,f190,f166,f97,f336]) ).
fof(f384,plain,
( a = or(a,not(t1))
| ~ spl0_19
| ~ spl0_45 ),
inference(superposition,[],[f133,f262]) ).
fof(f386,plain,
( b = or(b,not(t3))
| ~ spl0_19
| ~ spl0_43 ),
inference(superposition,[],[f133,f250]) ).
fof(f387,plain,
( cin = or(cin,not(t7))
| ~ spl0_19
| ~ spl0_39 ),
inference(superposition,[],[f133,f224]) ).
fof(f388,plain,
( cin = or(cin,not(t5))
| ~ spl0_19
| ~ spl0_41 ),
inference(superposition,[],[f133,f238]) ).
fof(f390,plain,
( t2 = or(t2,not(t4))
| ~ spl0_19
| ~ spl0_42 ),
inference(superposition,[],[f133,f244]) ).
fof(f392,plain,
( t5 = or(t5,not(t6))
| ~ spl0_19
| ~ spl0_40 ),
inference(superposition,[],[f133,f231]) ).
fof(f393,plain,
( t6 = or(t6,not(sum))
| ~ spl0_19
| ~ spl0_38 ),
inference(superposition,[],[f133,f217]) ).
fof(f396,definition,
( spl0_55
<=> t6 = or(t6,not(sum)) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f398,plain,
( t6 = or(t6,not(sum))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f399,plain,
( spl0_55
| ~ spl0_19
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f393,f215,f132,f396]) ).
fof(f401,definition,
( spl0_56
<=> t5 = or(t5,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f403,plain,
( t5 = or(t5,not(t6))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f404,plain,
( spl0_56
| ~ spl0_19
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f392,f229,f132,f401]) ).
fof(f406,definition,
( spl0_57
<=> t2 = or(t2,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f408,plain,
( t2 = or(t2,not(t4))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f409,plain,
( spl0_57
| ~ spl0_19
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f390,f242,f132,f406]) ).
fof(f416,definition,
( spl0_59
<=> cin = or(cin,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f418,plain,
( cin = or(cin,not(t5))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( spl0_59
| ~ spl0_19
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f388,f236,f132,f416]) ).
fof(f421,definition,
( spl0_60
<=> cin = or(cin,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f423,plain,
( cin = or(cin,not(t7))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f424,plain,
( spl0_60
| ~ spl0_19
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f387,f222,f132,f421]) ).
fof(f426,definition,
( spl0_61
<=> b = or(b,not(t3)) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f428,plain,
( b = or(b,not(t3))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f429,plain,
( spl0_61
| ~ spl0_19
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f386,f248,f132,f426]) ).
fof(f431,definition,
( spl0_62
<=> a = or(a,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f433,plain,
( a = or(a,not(t1))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
( spl0_62
| ~ spl0_19
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f384,f260,f132,f431]) ).
fof(f459,plain,
( ! [X0,X1] : or(X1,and(X0,X1)) = X1
| ~ spl0_19
| ~ spl0_35 ),
inference(superposition,[],[f133,f199]) ).
fof(f460,plain,
( ! [X0] : ll0 = and(ll0,X0)
| ~ spl0_20
| ~ spl0_35 ),
inference(superposition,[],[f137,f199]) ).
fof(f461,plain,
( ! [X0] : and(ll1,X0) = X0
| ~ spl0_31
| ~ spl0_35 ),
inference(superposition,[],[f183,f199]) ).
fof(f469,definition,
( spl0_64
<=> ! [X0] : and(ll1,X0) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f470,plain,
( ! [X0] : and(ll1,X0) = X0
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( spl0_64
| ~ spl0_31
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f461,f198,f182,f469]) ).
fof(f473,definition,
( spl0_65
<=> ! [X0] : ll0 = and(ll0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f474,plain,
( ! [X0] : ll0 = and(ll0,X0)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( spl0_65
| ~ spl0_20
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f460,f198,f136,f473]) ).
fof(f477,definition,
( spl0_66
<=> ! [X0,X1] : or(X1,and(X0,X1)) = X1 ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f478,plain,
( ! [X0,X1] : or(X1,and(X0,X1)) = X1
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( spl0_66
| ~ spl0_19
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f459,f198,f132,f477]) ).
fof(f513,plain,
( ! [X0,X1] : and(X1,or(X0,X1)) = X1
| ~ spl0_18
| ~ spl0_36 ),
inference(superposition,[],[f129,f203]) ).
fof(f514,plain,
( ! [X0] : or(ll0,X0) = X0
| ~ spl0_32
| ~ spl0_36 ),
inference(superposition,[],[f187,f203]) ).
fof(f518,definition,
( spl0_68
<=> ! [X0] : or(ll0,X0) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f519,plain,
( ! [X0] : or(ll0,X0) = X0
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( spl0_68
| ~ spl0_32
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f514,f202,f186,f518]) ).
fof(f522,definition,
( spl0_69
<=> ! [X0,X1] : and(X1,or(X0,X1)) = X1 ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f523,plain,
( ! [X0,X1] : and(X1,or(X0,X1)) = X1
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( spl0_69
| ~ spl0_18
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f513,f202,f128,f522]) ).
fof(f537,plain,
( ! [X0,X1] : or(X0,X1) = or(or(X0,X1),X0)
| ~ spl0_18
| ~ spl0_66 ),
inference(superposition,[],[f478,f129]) ).
fof(f543,plain,
( t1 = or(t1,not(t2))
| ~ spl0_44
| ~ spl0_66 ),
inference(superposition,[],[f478,f256]) ).
fof(f544,plain,
( b = or(b,not(t1))
| ~ spl0_45
| ~ spl0_66 ),
inference(superposition,[],[f478,f262]) ).
fof(f546,plain,
( t1 = or(t1,not(t3))
| ~ spl0_43
| ~ spl0_66 ),
inference(superposition,[],[f478,f250]) ).
fof(f547,plain,
( t5 = or(t5,not(t7))
| ~ spl0_39
| ~ spl0_66 ),
inference(superposition,[],[f478,f224]) ).
fof(f548,plain,
( t4 = or(t4,not(t5))
| ~ spl0_41
| ~ spl0_66 ),
inference(superposition,[],[f478,f238]) ).
fof(f549,plain,
( t5 = or(t5,not(carry))
| ~ spl0_37
| ~ spl0_66 ),
inference(superposition,[],[f478,f211]) ).
fof(f550,plain,
( t3 = or(t3,not(t4))
| ~ spl0_42
| ~ spl0_66 ),
inference(superposition,[],[f478,f244]) ).
fof(f552,plain,
( t4 = or(t4,not(t6))
| ~ spl0_40
| ~ spl0_66 ),
inference(superposition,[],[f478,f231]) ).
fof(f553,plain,
( t7 = or(t7,not(sum))
| ~ spl0_38
| ~ spl0_66 ),
inference(superposition,[],[f478,f217]) ).
fof(f558,definition,
( spl0_70
<=> t7 = or(t7,not(sum)) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f560,plain,
( t7 = or(t7,not(sum))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f561,plain,
( spl0_70
| ~ spl0_38
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f553,f477,f215,f558]) ).
fof(f563,definition,
( spl0_71
<=> t4 = or(t4,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f565,plain,
( t4 = or(t4,not(t6))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( spl0_71
| ~ spl0_40
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f552,f477,f229,f563]) ).
fof(f568,definition,
( spl0_72
<=> t3 = or(t3,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f570,plain,
( t3 = or(t3,not(t4))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f571,plain,
( spl0_72
| ~ spl0_42
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f550,f477,f242,f568]) ).
fof(f573,definition,
( spl0_73
<=> t5 = or(t5,not(carry)) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f575,plain,
( t5 = or(t5,not(carry))
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f576,plain,
( spl0_73
| ~ spl0_37
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f549,f477,f209,f573]) ).
fof(f578,definition,
( spl0_74
<=> t4 = or(t4,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f580,plain,
( t4 = or(t4,not(t5))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
( spl0_74
| ~ spl0_41
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f548,f477,f236,f578]) ).
fof(f583,definition,
( spl0_75
<=> t5 = or(t5,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f585,plain,
( t5 = or(t5,not(t7))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,plain,
( spl0_75
| ~ spl0_39
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f547,f477,f222,f583]) ).
fof(f588,definition,
( spl0_76
<=> t1 = or(t1,not(t3)) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f590,plain,
( t1 = or(t1,not(t3))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f591,plain,
( spl0_76
| ~ spl0_43
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f546,f477,f248,f588]) ).
fof(f593,definition,
( spl0_77
<=> b = or(b,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f595,plain,
( b = or(b,not(t1))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( spl0_77
| ~ spl0_45
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f544,f477,f260,f593]) ).
fof(f598,definition,
( spl0_78
<=> t1 = or(t1,not(t2)) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f600,plain,
( t1 = or(t1,not(t2))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( spl0_78
| ~ spl0_44
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f543,f477,f254,f598]) ).
fof(f602,plain,
( ! [X0,X1] : or(X0,X1) = or(X0,or(X1,X0))
| ~ spl0_18
| ~ spl0_34
| ~ spl0_66 ),
inference(forward_demodulation,[],[f537,f195]) ).
fof(f604,definition,
( spl0_79
<=> ! [X0,X1] : or(X0,X1) = or(X0,or(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f605,plain,
( ! [X0,X1] : or(X0,X1) = or(X0,or(X1,X0))
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( spl0_79
| ~ spl0_18
| ~ spl0_34
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f602,f477,f194,f128,f604]) ).
fof(f619,plain,
( ! [X0,X1] : and(X0,X1) = and(and(X0,X1),X0)
| ~ spl0_19
| ~ spl0_69 ),
inference(superposition,[],[f523,f133]) ).
fof(f626,plain,
( not(t1) = and(not(t1),a)
| ~ spl0_62
| ~ spl0_69 ),
inference(superposition,[],[f523,f433]) ).
fof(f628,plain,
( not(t3) = and(not(t3),b)
| ~ spl0_61
| ~ spl0_69 ),
inference(superposition,[],[f523,f428]) ).
fof(f629,plain,
( not(t1) = and(not(t1),b)
| ~ spl0_69
| ~ spl0_77 ),
inference(superposition,[],[f523,f595]) ).
fof(f630,plain,
( not(t5) = and(not(t5),cin)
| ~ spl0_59
| ~ spl0_69 ),
inference(superposition,[],[f523,f418]) ).
fof(f631,plain,
( not(t7) = and(not(t7),cin)
| ~ spl0_60
| ~ spl0_69 ),
inference(superposition,[],[f523,f423]) ).
fof(f633,plain,
( not(t3) = and(not(t3),t1)
| ~ spl0_69
| ~ spl0_76 ),
inference(superposition,[],[f523,f590]) ).
fof(f634,plain,
( not(t2) = and(not(t2),t1)
| ~ spl0_69
| ~ spl0_78 ),
inference(superposition,[],[f523,f600]) ).
fof(f637,plain,
( not(t6) = and(not(t6),t4)
| ~ spl0_69
| ~ spl0_71 ),
inference(superposition,[],[f523,f565]) ).
fof(f638,plain,
( not(t5) = and(not(t5),t4)
| ~ spl0_69
| ~ spl0_74 ),
inference(superposition,[],[f523,f580]) ).
fof(f639,plain,
( not(t6) = and(not(t6),t5)
| ~ spl0_56
| ~ spl0_69 ),
inference(superposition,[],[f523,f403]) ).
fof(f640,plain,
( not(carry) = and(not(carry),t5)
| ~ spl0_69
| ~ spl0_73 ),
inference(superposition,[],[f523,f575]) ).
fof(f641,plain,
( not(t7) = and(not(t7),t5)
| ~ spl0_69
| ~ spl0_75 ),
inference(superposition,[],[f523,f585]) ).
fof(f643,plain,
( not(sum) = and(not(sum),t7)
| ~ spl0_69
| ~ spl0_70 ),
inference(superposition,[],[f523,f560]) ).
fof(f649,plain,
( not(sum) = and(t7,not(sum))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_70 ),
inference(forward_demodulation,[],[f643,f199]) ).
fof(f651,plain,
( not(t7) = and(t5,not(t7))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_75 ),
inference(forward_demodulation,[],[f641,f199]) ).
fof(f652,plain,
( not(carry) = and(t5,not(carry))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_demodulation,[],[f640,f199]) ).
fof(f653,plain,
( not(t6) = and(t5,not(t6))
| ~ spl0_35
| ~ spl0_56
| ~ spl0_69 ),
inference(forward_demodulation,[],[f639,f199]) ).
fof(f654,plain,
( not(t5) = and(t4,not(t5))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_74 ),
inference(forward_demodulation,[],[f638,f199]) ).
fof(f655,plain,
( not(t6) = and(t4,not(t6))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f637,f199]) ).
fof(f658,plain,
( not(t2) = and(t1,not(t2))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_78 ),
inference(forward_demodulation,[],[f634,f199]) ).
fof(f659,plain,
( not(t3) = and(t1,not(t3))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_76 ),
inference(forward_demodulation,[],[f633,f199]) ).
fof(f661,plain,
( not(t7) = and(cin,not(t7))
| ~ spl0_35
| ~ spl0_60
| ~ spl0_69 ),
inference(forward_demodulation,[],[f631,f199]) ).
fof(f662,plain,
( not(t5) = and(cin,not(t5))
| ~ spl0_35
| ~ spl0_59
| ~ spl0_69 ),
inference(forward_demodulation,[],[f630,f199]) ).
fof(f663,plain,
( not(t1) = and(b,not(t1))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_77 ),
inference(forward_demodulation,[],[f629,f199]) ).
fof(f664,plain,
( not(t3) = and(b,not(t3))
| ~ spl0_35
| ~ spl0_61
| ~ spl0_69 ),
inference(forward_demodulation,[],[f628,f199]) ).
fof(f666,plain,
( not(t1) = and(a,not(t1))
| ~ spl0_35
| ~ spl0_62
| ~ spl0_69 ),
inference(forward_demodulation,[],[f626,f199]) ).
fof(f668,plain,
( ! [X0,X1] : and(X0,X1) = and(X0,and(X1,X0))
| ~ spl0_19
| ~ spl0_33
| ~ spl0_69 ),
inference(forward_demodulation,[],[f619,f191]) ).
fof(f670,definition,
( spl0_80
<=> not(sum) = and(t7,not(sum)) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f672,plain,
( not(sum) = and(t7,not(sum))
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f673,plain,
( spl0_80
| ~ spl0_35
| ~ spl0_69
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f649,f558,f522,f198,f670]) ).
fof(f680,definition,
( spl0_82
<=> not(t7) = and(t5,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f682,plain,
( not(t7) = and(t5,not(t7))
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,plain,
( spl0_82
| ~ spl0_35
| ~ spl0_69
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f651,f583,f522,f198,f680]) ).
fof(f685,definition,
( spl0_83
<=> not(carry) = and(t5,not(carry)) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f687,plain,
( not(carry) = and(t5,not(carry))
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f688,plain,
( spl0_83
| ~ spl0_35
| ~ spl0_69
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f652,f573,f522,f198,f685]) ).
fof(f690,definition,
( spl0_84
<=> not(t6) = and(t5,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f692,plain,
( not(t6) = and(t5,not(t6))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f693,plain,
( spl0_84
| ~ spl0_35
| ~ spl0_56
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f653,f522,f401,f198,f690]) ).
fof(f695,definition,
( spl0_85
<=> not(t5) = and(t4,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f697,plain,
( not(t5) = and(t4,not(t5))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f698,plain,
( spl0_85
| ~ spl0_35
| ~ spl0_69
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f654,f578,f522,f198,f695]) ).
fof(f700,definition,
( spl0_86
<=> not(t6) = and(t4,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f702,plain,
( not(t6) = and(t4,not(t6))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f703,plain,
( spl0_86
| ~ spl0_35
| ~ spl0_69
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f655,f563,f522,f198,f700]) ).
fof(f715,definition,
( spl0_89
<=> not(t2) = and(t1,not(t2)) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f717,plain,
( not(t2) = and(t1,not(t2))
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f718,plain,
( spl0_89
| ~ spl0_35
| ~ spl0_69
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f658,f598,f522,f198,f715]) ).
fof(f720,definition,
( spl0_90
<=> not(t3) = and(t1,not(t3)) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f722,plain,
( not(t3) = and(t1,not(t3))
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f723,plain,
( spl0_90
| ~ spl0_35
| ~ spl0_69
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f659,f588,f522,f198,f720]) ).
fof(f730,definition,
( spl0_92
<=> not(t7) = and(cin,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f732,plain,
( not(t7) = and(cin,not(t7))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f733,plain,
( spl0_92
| ~ spl0_35
| ~ spl0_60
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f661,f522,f421,f198,f730]) ).
fof(f735,definition,
( spl0_93
<=> not(t5) = and(cin,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f737,plain,
( not(t5) = and(cin,not(t5))
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f738,plain,
( spl0_93
| ~ spl0_35
| ~ spl0_59
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f662,f522,f416,f198,f735]) ).
fof(f740,definition,
( spl0_94
<=> not(t1) = and(b,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f742,plain,
( not(t1) = and(b,not(t1))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f743,plain,
( spl0_94
| ~ spl0_35
| ~ spl0_69
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f663,f593,f522,f198,f740]) ).
fof(f745,definition,
( spl0_95
<=> not(t3) = and(b,not(t3)) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f747,plain,
( not(t3) = and(b,not(t3))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f748,plain,
( spl0_95
| ~ spl0_35
| ~ spl0_61
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f664,f522,f426,f198,f745]) ).
fof(f755,definition,
( spl0_97
<=> not(t1) = and(a,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f757,plain,
( not(t1) = and(a,not(t1))
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f758,plain,
( spl0_97
| ~ spl0_35
| ~ spl0_62
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f666,f522,f431,f198,f755]) ).
fof(f760,definition,
( spl0_98
<=> ! [X0,X1] : and(X0,X1) = and(X0,and(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f761,plain,
( ! [X0,X1] : and(X0,X1) = and(X0,and(X1,X0))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( spl0_98
| ~ spl0_19
| ~ spl0_33
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f668,f522,f190,f132,f760]) ).
fof(f841,plain,
( ! [X0,X1] : or(X0,X1) = or(X0,or(X0,X1))
| ~ spl0_36
| ~ spl0_79 ),
inference(superposition,[],[f605,f203]) ).
fof(f863,definition,
( spl0_103
<=> ! [X0,X1] : or(X0,X1) = or(X0,or(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f864,plain,
( ! [X0,X1] : or(X0,X1) = or(X0,or(X0,X1))
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f865,plain,
( spl0_103
| ~ spl0_36
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f841,f604,f202,f863]) ).
fof(f892,plain,
( ! [X0,X1] : and(X0,X1) = and(X0,and(X0,X1))
| ~ spl0_35
| ~ spl0_98 ),
inference(superposition,[],[f761,f199]) ).
fof(f897,plain,
( and(and(t1,t2),a) = and(and(t1,t2),ll0)
| ~ spl0_51
| ~ spl0_98 ),
inference(superposition,[],[f761,f323]) ).
fof(f906,plain,
( and(and(t1,t3),b) = and(and(t1,t3),ll0)
| ~ spl0_50
| ~ spl0_98 ),
inference(superposition,[],[f761,f317]) ).
fof(f923,plain,
( and(and(t5,t6),t4) = and(and(t5,t6),ll0)
| ~ spl0_48
| ~ spl0_98 ),
inference(superposition,[],[f761,f306]) ).
fof(f931,plain,
( and(and(t7,sum),t6) = and(and(t7,sum),ll0)
| ~ spl0_46
| ~ spl0_98 ),
inference(superposition,[],[f761,f295]) ).
fof(f944,plain,
( and(and(t7,sum),t6) = and(t7,and(sum,ll0))
| ~ spl0_33
| ~ spl0_46
| ~ spl0_98 ),
inference(forward_demodulation,[],[f931,f191]) ).
fof(f952,plain,
( and(and(t5,t6),t4) = and(t5,and(t6,ll0))
| ~ spl0_33
| ~ spl0_48
| ~ spl0_98 ),
inference(forward_demodulation,[],[f923,f191]) ).
fof(f969,plain,
( and(and(t1,t3),b) = and(t1,and(t3,ll0))
| ~ spl0_33
| ~ spl0_50
| ~ spl0_98 ),
inference(forward_demodulation,[],[f906,f191]) ).
fof(f978,plain,
( and(and(t1,t2),a) = and(t1,and(t2,ll0))
| ~ spl0_33
| ~ spl0_51
| ~ spl0_98 ),
inference(forward_demodulation,[],[f897,f191]) ).
fof(f984,definition,
( spl0_108
<=> ! [X0,X1] : and(X0,X1) = and(X0,and(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f985,plain,
( ! [X0,X1] : and(X0,X1) = and(X0,and(X0,X1))
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f986,plain,
( spl0_108
| ~ spl0_35
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f892,f760,f198,f984]) ).
fof(f988,plain,
( and(and(t7,sum),t6) = and(t7,ll0)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_46
| ~ spl0_98 ),
inference(forward_demodulation,[],[f944,f137]) ).
fof(f996,plain,
( and(and(t5,t6),t4) = and(t5,ll0)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_48
| ~ spl0_98 ),
inference(forward_demodulation,[],[f952,f137]) ).
fof(f1013,plain,
( and(and(t1,t3),b) = and(t1,ll0)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_50
| ~ spl0_98 ),
inference(forward_demodulation,[],[f969,f137]) ).
fof(f1022,plain,
( and(and(t1,t2),a) = and(t1,ll0)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_51
| ~ spl0_98 ),
inference(forward_demodulation,[],[f978,f137]) ).
fof(f1026,plain,
( ll0 = and(and(t7,sum),t6)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_46
| ~ spl0_98 ),
inference(forward_demodulation,[],[f988,f137]) ).
fof(f1032,plain,
( ll0 = and(and(t5,t6),t4)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_48
| ~ spl0_98 ),
inference(forward_demodulation,[],[f996,f137]) ).
fof(f1044,plain,
( ll0 = and(and(t1,t3),b)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_50
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1013,f137]) ).
fof(f1049,plain,
( ll0 = and(and(t1,t2),a)
| ~ spl0_20
| ~ spl0_33
| ~ spl0_51
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1022,f137]) ).
fof(f1051,plain,
( ll0 = and(t7,and(sum,t6))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_46
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1026,f191]) ).
fof(f1053,plain,
( ll0 = and(t5,and(t6,t4))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_48
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1032,f191]) ).
fof(f1056,plain,
( ll0 = and(t1,and(t3,b))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_50
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1044,f191]) ).
fof(f1057,plain,
( ll0 = and(t1,and(t2,a))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_51
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1049,f191]) ).
fof(f1062,plain,
( ll0 = and(t7,and(t6,sum))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_46
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1051,f199]) ).
fof(f1064,plain,
( ll0 = and(t5,and(t4,t6))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_48
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1053,f199]) ).
fof(f1067,plain,
( ll0 = and(t1,and(b,t3))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_50
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1056,f199]) ).
fof(f1068,plain,
( ll0 = and(t1,and(a,t2))
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_51
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1057,f199]) ).
fof(f1070,definition,
( spl0_110
<=> ll0 = and(t7,and(t6,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f1072,plain,
( ll0 = and(t7,and(t6,sum))
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1073,plain,
( spl0_110
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_46
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1062,f760,f293,f198,f190,f136,f1070]) ).
fof(f1080,definition,
( spl0_112
<=> ll0 = and(t5,and(t4,t6)) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f1082,plain,
( ll0 = and(t5,and(t4,t6))
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1083,plain,
( spl0_112
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_48
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1064,f760,f304,f198,f190,f136,f1080]) ).
fof(f1091,definition,
( spl0_114
<=> ll0 = and(t1,and(b,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f1093,plain,
( ll0 = and(t1,and(b,t3))
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1094,plain,
( spl0_114
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_50
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1067,f760,f315,f198,f190,f136,f1091]) ).
fof(f1096,definition,
( spl0_115
<=> ll0 = and(t1,and(a,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f1098,plain,
( ll0 = and(t1,and(a,t2))
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1099,plain,
( spl0_115
| ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_51
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1068,f760,f321,f198,f190,f136,f1096]) ).
fof(f1151,plain,
( ! [X0,X1] : or(X0,X1) = or(X1,or(X0,X1))
| ~ spl0_36
| ~ spl0_103 ),
inference(superposition,[],[f864,f203]) ).
fof(f1189,definition,
( spl0_116
<=> ! [X0,X1] : or(X0,X1) = or(X1,or(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f1190,plain,
( ! [X0,X1] : or(X0,X1) = or(X1,or(X0,X1))
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1191,plain,
( spl0_116
| ~ spl0_36
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1151,f863,f202,f1189]) ).
fof(f1200,plain,
( ! [X0,X1] : and(X0,X1) = and(X1,and(X0,X1))
| ~ spl0_35
| ~ spl0_108 ),
inference(superposition,[],[f985,f199]) ).
fof(f1259,definition,
( spl0_118
<=> ! [X0,X1] : and(X0,X1) = and(X1,and(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f1260,plain,
( ! [X0,X1] : and(X0,X1) = and(X1,and(X0,X1))
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1261,plain,
( spl0_118
| ~ spl0_35
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1200,f984,f198,f1259]) ).
fof(f1412,plain,
( ! [X0] : not(and(and(a,t1),X0)) = or(t2,not(X0))
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f121,f94]) ).
fof(f1414,plain,
( ! [X0] : not(and(and(b,t1),X0)) = or(t3,not(X0))
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f121,f89]) ).
fof(f1415,plain,
( ! [X0] : not(and(and(t1,t5),X0)) = or(carry,not(X0))
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f121,f59]) ).
fof(f1416,plain,
( ! [X0] : not(and(and(t2,t3),X0)) = or(t4,not(X0))
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f121,f84]) ).
fof(f1417,plain,
( ! [X0] : not(and(and(t4,t5),X0)) = or(t6,not(X0))
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f121,f74]) ).
fof(f1419,plain,
( ! [X0] : not(and(and(t5,cin),X0)) = or(t7,not(X0))
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f121,f69]) ).
fof(f1420,plain,
( ! [X0] : not(and(and(t6,t7),X0)) = or(sum,not(X0))
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f121,f64]) ).
fof(f1423,plain,
( ! [X0,X1] : not(and(not(X0),X1)) = or(X0,not(X1))
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f121,f155]) ).
fof(f1435,plain,
( ! [X0,X1] : not(and(X1,not(X0))) = or(not(X1),X0)
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f121,f155]) ).
fof(f1444,plain,
( ! [X0,X1] : not(and(X0,X1)) = or(not(X1),not(X0))
| ~ spl0_16
| ~ spl0_36 ),
inference(superposition,[],[f203,f121]) ).
fof(f1448,plain,
( ! [X0,X1] : not(and(X0,X1)) = or(not(X1),not(and(X0,X1)))
| ~ spl0_16
| ~ spl0_116 ),
inference(superposition,[],[f1190,f121]) ).
fof(f1449,plain,
( ! [X0,X1] : not(and(X0,X1)) = not(and(X1,and(X0,X1)))
| ~ spl0_16
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1448,f121]) ).
fof(f1454,definition,
( spl0_119
<=> ! [X0,X1] : not(and(X0,X1)) = or(not(X1),not(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f1455,plain,
( ! [X0,X1] : not(and(X0,X1)) = or(not(X1),not(X0))
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1456,plain,
( spl0_119
| ~ spl0_16
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1444,f202,f120,f1454]) ).
fof(f1461,definition,
( spl0_120
<=> ! [X0,X1] : not(and(X1,not(X0))) = or(not(X1),X0) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f1462,plain,
( ! [X0,X1] : not(and(X1,not(X0))) = or(not(X1),X0)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1463,plain,
( spl0_120
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1435,f154,f120,f1461]) ).
fof(f1476,definition,
( spl0_121
<=> ! [X0,X1] : not(and(not(X0),X1)) = or(X0,not(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f1477,plain,
( ! [X0,X1] : not(and(not(X0),X1)) = or(X0,not(X1))
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1478,plain,
( spl0_121
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1423,f154,f120,f1476]) ).
fof(f1481,plain,
( ! [X0] : or(sum,not(X0)) = not(and(t6,and(t7,X0)))
| ~ spl0_4
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1420,f191]) ).
fof(f1482,plain,
( ! [X0] : or(t7,not(X0)) = not(and(t5,and(cin,X0)))
| ~ spl0_5
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1419,f191]) ).
fof(f1484,plain,
( ! [X0] : or(t6,not(X0)) = not(and(t4,and(t5,X0)))
| ~ spl0_6
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1417,f191]) ).
fof(f1485,plain,
( ! [X0] : or(t4,not(X0)) = not(and(t2,and(t3,X0)))
| ~ spl0_8
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1416,f191]) ).
fof(f1486,plain,
( ! [X0] : or(carry,not(X0)) = not(and(t1,and(t5,X0)))
| ~ spl0_3
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1415,f191]) ).
fof(f1487,plain,
( ! [X0] : or(t3,not(X0)) = not(and(b,and(t1,X0)))
| ~ spl0_9
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1414,f191]) ).
fof(f1489,plain,
( ! [X0] : or(t2,not(X0)) = not(and(a,and(t1,X0)))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1412,f191]) ).
fof(f1490,plain,
( ! [X0,X1] : not(and(X0,X1)) = not(and(X1,X0))
| ~ spl0_16
| ~ spl0_98
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1449,f761]) ).
fof(f1504,definition,
( spl0_122
<=> ! [X0] : or(sum,not(X0)) = not(and(t6,and(t7,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f1505,plain,
( ! [X0] : or(sum,not(X0)) = not(and(t6,and(t7,X0)))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1506,plain,
( spl0_122
| ~ spl0_4
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1481,f190,f120,f62,f1504]) ).
fof(f1508,definition,
( spl0_123
<=> ! [X0] : or(t7,not(X0)) = not(and(t5,and(cin,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f1509,plain,
( ! [X0] : or(t7,not(X0)) = not(and(t5,and(cin,X0)))
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1510,plain,
( spl0_123
| ~ spl0_5
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1482,f190,f120,f67,f1508]) ).
fof(f1516,definition,
( spl0_125
<=> ! [X0] : or(t6,not(X0)) = not(and(t4,and(t5,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f1517,plain,
( ! [X0] : or(t6,not(X0)) = not(and(t4,and(t5,X0)))
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1518,plain,
( spl0_125
| ~ spl0_6
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1484,f190,f120,f72,f1516]) ).
fof(f1520,definition,
( spl0_126
<=> ! [X0] : or(t4,not(X0)) = not(and(t2,and(t3,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f1521,plain,
( ! [X0] : or(t4,not(X0)) = not(and(t2,and(t3,X0)))
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1522,plain,
( spl0_126
| ~ spl0_8
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1485,f190,f120,f82,f1520]) ).
fof(f1524,definition,
( spl0_127
<=> ! [X0] : or(carry,not(X0)) = not(and(t1,and(t5,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f1525,plain,
( ! [X0] : or(carry,not(X0)) = not(and(t1,and(t5,X0)))
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1526,plain,
( spl0_127
| ~ spl0_3
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1486,f190,f120,f57,f1524]) ).
fof(f1528,definition,
( spl0_128
<=> ! [X0] : or(t3,not(X0)) = not(and(b,and(t1,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1529,plain,
( ! [X0] : or(t3,not(X0)) = not(and(b,and(t1,X0)))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1530,plain,
( spl0_128
| ~ spl0_9
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1487,f190,f120,f87,f1528]) ).
fof(f1536,definition,
( spl0_130
<=> ! [X0] : or(t2,not(X0)) = not(and(a,and(t1,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1537,plain,
( ! [X0] : or(t2,not(X0)) = not(and(a,and(t1,X0)))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1538,plain,
( spl0_130
| ~ spl0_10
| ~ spl0_16
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1489,f190,f120,f92,f1536]) ).
fof(f1540,definition,
( spl0_131
<=> ! [X0,X1] : not(and(X0,X1)) = not(and(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1541,plain,
( ! [X0,X1] : not(and(X0,X1)) = not(and(X1,X0))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1542,plain,
( spl0_131
| ~ spl0_16
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1490,f1189,f760,f120,f1540]) ).
fof(f1616,plain,
( ! [X2,X0,X1] : not(and(X2,and(X1,X0))) = or(not(X2),not(and(X0,X1)))
| ~ spl0_16
| ~ spl0_131 ),
inference(superposition,[],[f121,f1541]) ).
fof(f1617,plain,
( ! [X2,X0,X1] : not(and(and(X1,X0),X2)) = or(not(and(X0,X1)),not(X2))
| ~ spl0_16
| ~ spl0_131 ),
inference(superposition,[],[f121,f1541]) ).
fof(f1618,plain,
( ! [X0,X1] : ll1 = or(and(X1,X0),not(and(X0,X1)))
| ~ spl0_28
| ~ spl0_131 ),
inference(superposition,[],[f171,f1541]) ).
fof(f1619,plain,
( ! [X0,X1] : ll0 = and(and(X1,X0),not(and(X0,X1)))
| ~ spl0_27
| ~ spl0_131 ),
inference(superposition,[],[f167,f1541]) ).
fof(f1622,plain,
( ! [X0,X1] : ll0 = and(X1,and(X0,not(and(X0,X1))))
| ~ spl0_27
| ~ spl0_33
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1619,f191]) ).
fof(f1624,definition,
( spl0_141
<=> ! [X0,X1] : ll1 = or(and(X1,X0),not(and(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1625,plain,
( ! [X0,X1] : ll1 = or(and(X1,X0),not(and(X0,X1)))
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1626,plain,
( spl0_141
| ~ spl0_28
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1618,f1540,f170,f1624]) ).
fof(f1627,plain,
( ! [X2,X0,X1] : not(and(and(X1,X0),X2)) = not(and(and(X0,X1),X2))
| ~ spl0_16
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1617,f121]) ).
fof(f1628,plain,
( ! [X2,X0,X1] : not(and(X2,and(X1,X0))) = not(and(X2,and(X0,X1)))
| ~ spl0_16
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1616,f121]) ).
fof(f1646,definition,
( spl0_142
<=> ! [X0,X1] : ll0 = and(X1,and(X0,not(and(X0,X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1647,plain,
( ! [X0,X1] : ll0 = and(X1,and(X0,not(and(X0,X1))))
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f1648,plain,
( spl0_142
| ~ spl0_27
| ~ spl0_33
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1622,f1540,f190,f166,f1646]) ).
fof(f1649,plain,
( ! [X2,X0,X1] : not(and(and(X1,X0),X2)) = not(and(X0,and(X1,X2)))
| ~ spl0_16
| ~ spl0_33
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1627,f191]) ).
fof(f1651,definition,
( spl0_143
<=> ! [X2,X0,X1] : not(and(X2,and(X1,X0))) = not(and(X2,and(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1652,plain,
( ! [X2,X0,X1] : not(and(X2,and(X1,X0))) = not(and(X2,and(X0,X1)))
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1653,plain,
( spl0_143
| ~ spl0_16
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1628,f1540,f120,f1651]) ).
fof(f1655,plain,
( ! [X2,X0,X1] : not(and(X0,and(X1,X2))) = not(and(X1,and(X0,X2)))
| ~ spl0_16
| ~ spl0_33
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1649,f191]) ).
fof(f1658,definition,
( spl0_144
<=> ! [X2,X0,X1] : not(and(X0,and(X1,X2))) = not(and(X1,and(X0,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1659,plain,
( ! [X2,X0,X1] : not(and(X0,and(X1,X2))) = not(and(X1,and(X0,X2)))
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1660,plain,
( spl0_144
| ~ spl0_16
| ~ spl0_33
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1655,f1540,f190,f120,f1658]) ).
fof(f1674,plain,
( ! [X0,X1] : and(X0,not(X1)) = not(or(not(X0),X1))
| ~ spl0_17
| ~ spl0_24 ),
inference(superposition,[],[f125,f155]) ).
fof(f1676,plain,
( ! [X2,X0,X1] : not(or(X2,and(X1,X0))) = and(not(X2),not(and(X0,X1)))
| ~ spl0_17
| ~ spl0_131 ),
inference(superposition,[],[f125,f1541]) ).
fof(f1688,plain,
( ! [X0,X1] : and(not(X1),X0) = not(or(X1,not(X0)))
| ~ spl0_17
| ~ spl0_24 ),
inference(superposition,[],[f125,f155]) ).
fof(f1697,plain,
( ! [X0,X1] : not(or(X0,X1)) = and(not(X1),not(X0))
| ~ spl0_17
| ~ spl0_35 ),
inference(superposition,[],[f199,f125]) ).
fof(f1701,plain,
( ! [X0,X1] : not(or(X0,X1)) = and(not(X1),not(or(X0,X1)))
| ~ spl0_17
| ~ spl0_118 ),
inference(superposition,[],[f1260,f125]) ).
fof(f1706,plain,
( ! [X0,X1] : not(or(X0,X1)) = not(or(X1,or(X0,X1)))
| ~ spl0_17
| ~ spl0_118 ),
inference(forward_demodulation,[],[f1701,f125]) ).
fof(f1711,definition,
( spl0_145
<=> ! [X0,X1] : not(or(X0,X1)) = and(not(X1),not(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1712,plain,
( ! [X0,X1] : not(or(X0,X1)) = and(not(X1),not(X0))
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1713,plain,
( spl0_145
| ~ spl0_17
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1697,f198,f124,f1711]) ).
fof(f1718,definition,
( spl0_146
<=> ! [X0,X1] : and(not(X1),X0) = not(or(X1,not(X0))) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1719,plain,
( ! [X0,X1] : and(not(X1),X0) = not(or(X1,not(X0)))
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1720,plain,
( spl0_146
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1688,f154,f124,f1718]) ).
fof(f1732,plain,
( ! [X2,X0,X1] : not(or(X2,and(X1,X0))) = not(or(X2,and(X0,X1)))
| ~ spl0_17
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1676,f125]) ).
fof(f1735,definition,
( spl0_147
<=> ! [X0,X1] : and(X0,not(X1)) = not(or(not(X0),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1736,plain,
( ! [X0,X1] : and(X0,not(X1)) = not(or(not(X0),X1))
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1737,plain,
( spl0_147
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1674,f154,f124,f1735]) ).
fof(f1753,plain,
( ! [X0,X1] : not(or(X0,X1)) = not(or(X1,X0))
| ~ spl0_17
| ~ spl0_79
| ~ spl0_118 ),
inference(forward_demodulation,[],[f1706,f605]) ).
fof(f1766,definition,
( spl0_148
<=> ! [X2,X0,X1] : not(or(X2,and(X1,X0))) = not(or(X2,and(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1767,plain,
( ! [X2,X0,X1] : not(or(X2,and(X1,X0))) = not(or(X2,and(X0,X1)))
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1768,plain,
( spl0_148
| ~ spl0_17
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1732,f1540,f124,f1766]) ).
fof(f1804,definition,
( spl0_156
<=> ! [X0,X1] : not(or(X0,X1)) = not(or(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1805,plain,
( ! [X0,X1] : not(or(X0,X1)) = not(or(X1,X0))
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f1806,plain,
( spl0_156
| ~ spl0_17
| ~ spl0_79
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1753,f1259,f604,f124,f1804]) ).
fof(f1885,plain,
( ! [X2,X0,X1] : not(and(X2,or(X1,X0))) = or(not(X2),not(or(X0,X1)))
| ~ spl0_16
| ~ spl0_156 ),
inference(superposition,[],[f121,f1805]) ).
fof(f1887,plain,
( ! [X2,X0,X1] : not(or(X2,or(X1,X0))) = and(not(X2),not(or(X0,X1)))
| ~ spl0_17
| ~ spl0_156 ),
inference(superposition,[],[f125,f1805]) ).
fof(f1897,plain,
( ! [X2,X0,X1] : not(or(X2,or(X1,X0))) = not(or(X2,or(X0,X1)))
| ~ spl0_17
| ~ spl0_156 ),
inference(forward_demodulation,[],[f1887,f125]) ).
fof(f1899,plain,
( ! [X2,X0,X1] : not(and(X2,or(X1,X0))) = not(and(X2,or(X0,X1)))
| ~ spl0_16
| ~ spl0_156 ),
inference(forward_demodulation,[],[f1885,f121]) ).
fof(f1914,definition,
( spl0_171
<=> ! [X2,X0,X1] : not(or(X2,or(X1,X0))) = not(or(X2,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1915,plain,
( ! [X2,X0,X1] : not(or(X2,or(X1,X0))) = not(or(X2,or(X0,X1)))
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f1916,plain,
( spl0_171
| ~ spl0_17
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1897,f1804,f124,f1914]) ).
fof(f1919,definition,
( spl0_172
<=> ! [X2,X0,X1] : not(and(X2,or(X1,X0))) = not(and(X2,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1920,plain,
( ! [X2,X0,X1] : not(and(X2,or(X1,X0))) = not(and(X2,or(X0,X1)))
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f1921,plain,
( spl0_172
| ~ spl0_16
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1899,f1804,f120,f1919]) ).
fof(f1952,plain,
( ! [X0,X1] : or(X0,not(X1)) = not(and(X1,not(X0)))
| ~ spl0_24
| ~ spl0_119 ),
inference(superposition,[],[f1455,f155]) ).
fof(f1968,plain,
( ! [X0,X1] : not(and(not(X0),X1)) = or(not(X1),X0)
| ~ spl0_24
| ~ spl0_119 ),
inference(superposition,[],[f1455,f155]) ).
fof(f1996,definition,
( spl0_175
<=> ! [X0,X1] : not(and(not(X0),X1)) = or(not(X1),X0) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1997,plain,
( ! [X0,X1] : not(and(not(X0),X1)) = or(not(X1),X0)
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f1998,plain,
( spl0_175
| ~ spl0_24
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1968,f1454,f154,f1996]) ).
fof(f2015,definition,
( spl0_176
<=> ! [X0,X1] : or(X0,not(X1)) = not(and(X1,not(X0))) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f2016,plain,
( ! [X0,X1] : or(X0,not(X1)) = not(and(X1,not(X0)))
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2017,plain,
( spl0_176
| ~ spl0_24
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1952,f1454,f154,f2015]) ).
fof(f2075,plain,
( ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = not(and(X2,not(and(X0,X1))))
| ~ spl0_120
| ~ spl0_131 ),
inference(superposition,[],[f1462,f1541]) ).
fof(f2076,plain,
( ! [X2,X0,X1] : or(not(X2),and(X0,not(X1))) = not(and(X2,or(not(X0),X1)))
| ~ spl0_120 ),
inference(superposition,[],[f1462,f1462]) ).
fof(f2098,plain,
( not(not(t1)) = or(not(a),t1)
| ~ spl0_97
| ~ spl0_120 ),
inference(superposition,[],[f1462,f757]) ).
fof(f2099,plain,
( not(not(t1)) = or(not(b),t1)
| ~ spl0_94
| ~ spl0_120 ),
inference(superposition,[],[f1462,f742]) ).
fof(f2100,plain,
( not(not(t3)) = or(not(b),t3)
| ~ spl0_95
| ~ spl0_120 ),
inference(superposition,[],[f1462,f747]) ).
fof(f2101,plain,
( not(not(t7)) = or(not(cin),t7)
| ~ spl0_92
| ~ spl0_120 ),
inference(superposition,[],[f1462,f732]) ).
fof(f2102,plain,
( not(not(t5)) = or(not(cin),t5)
| ~ spl0_93
| ~ spl0_120 ),
inference(superposition,[],[f1462,f737]) ).
fof(f2103,plain,
( not(not(t2)) = or(not(t1),t2)
| ~ spl0_89
| ~ spl0_120 ),
inference(superposition,[],[f1462,f717]) ).
fof(f2104,plain,
( not(not(t3)) = or(not(t1),t3)
| ~ spl0_90
| ~ spl0_120 ),
inference(superposition,[],[f1462,f722]) ).
fof(f2109,plain,
( not(not(t5)) = or(not(t4),t5)
| ~ spl0_85
| ~ spl0_120 ),
inference(superposition,[],[f1462,f697]) ).
fof(f2110,plain,
( not(not(t6)) = or(not(t4),t6)
| ~ spl0_86
| ~ spl0_120 ),
inference(superposition,[],[f1462,f702]) ).
fof(f2111,plain,
( not(not(t7)) = or(not(t5),t7)
| ~ spl0_82
| ~ spl0_120 ),
inference(superposition,[],[f1462,f682]) ).
fof(f2113,plain,
( not(not(t6)) = or(not(t5),t6)
| ~ spl0_84
| ~ spl0_120 ),
inference(superposition,[],[f1462,f692]) ).
fof(f2115,plain,
( not(not(sum)) = or(not(t7),sum)
| ~ spl0_80
| ~ spl0_120 ),
inference(superposition,[],[f1462,f672]) ).
fof(f2123,plain,
( ! [X2,X0,X1] : not(or(X2,and(X0,not(X1)))) = and(not(X2),or(not(X0),X1))
| ~ spl0_17
| ~ spl0_120 ),
inference(superposition,[],[f125,f1462]) ).
fof(f2128,plain,
( ! [X2,X0,X1] : or(or(not(X0),X1),not(X2)) = not(and(X2,and(X0,not(X1))))
| ~ spl0_119
| ~ spl0_120 ),
inference(superposition,[],[f1455,f1462]) ).
fof(f2129,plain,
( ! [X2,X0,X1] : not(and(X2,and(X0,not(X1)))) = or(not(X0),or(X1,not(X2)))
| ~ spl0_34
| ~ spl0_119
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2128,f195]) ).
fof(f2137,definition,
( spl0_180
<=> ! [X2,X0,X1] : not(or(X2,and(X0,not(X1)))) = and(not(X2),or(not(X0),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f2138,plain,
( ! [X2,X0,X1] : not(or(X2,and(X0,not(X1)))) = and(not(X2),or(not(X0),X1))
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f2139,plain,
( spl0_180
| ~ spl0_17
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2123,f1461,f124,f2137]) ).
fof(f2149,plain,
( not(not(sum)) = or(sum,not(t7))
| ~ spl0_36
| ~ spl0_80
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2115,f203]) ).
fof(f2151,plain,
( not(not(t6)) = or(t6,not(t5))
| ~ spl0_36
| ~ spl0_84
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2113,f203]) ).
fof(f2153,plain,
( not(not(t7)) = or(t7,not(t5))
| ~ spl0_36
| ~ spl0_82
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2111,f203]) ).
fof(f2154,plain,
( not(not(t6)) = or(t6,not(t4))
| ~ spl0_36
| ~ spl0_86
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2110,f203]) ).
fof(f2155,plain,
( not(not(t5)) = or(t5,not(t4))
| ~ spl0_36
| ~ spl0_85
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2109,f203]) ).
fof(f2160,plain,
( not(not(t3)) = or(t3,not(t1))
| ~ spl0_36
| ~ spl0_90
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2104,f203]) ).
fof(f2161,plain,
( not(not(t2)) = or(t2,not(t1))
| ~ spl0_36
| ~ spl0_89
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2103,f203]) ).
fof(f2162,plain,
( not(not(t5)) = or(t5,not(cin))
| ~ spl0_36
| ~ spl0_93
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2102,f203]) ).
fof(f2163,plain,
( not(not(t7)) = or(t7,not(cin))
| ~ spl0_36
| ~ spl0_92
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2101,f203]) ).
fof(f2164,plain,
( not(not(t3)) = or(t3,not(b))
| ~ spl0_36
| ~ spl0_95
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2100,f203]) ).
fof(f2165,plain,
( not(not(t1)) = or(t1,not(b))
| ~ spl0_36
| ~ spl0_94
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2099,f203]) ).
fof(f2166,plain,
( not(not(t1)) = or(t1,not(a))
| ~ spl0_36
| ~ spl0_97
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2098,f203]) ).
fof(f2186,definition,
( spl0_183
<=> ! [X2,X0,X1] : or(not(X2),and(X0,not(X1))) = not(and(X2,or(not(X0),X1))) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f2187,plain,
( ! [X2,X0,X1] : or(not(X2),and(X0,not(X1))) = not(and(X2,or(not(X0),X1)))
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f2186]) ).
fof(f2188,plain,
( spl0_183
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2076,f1461,f2186]) ).
fof(f2189,plain,
( ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = or(not(X2),and(X0,X1))
| ~ spl0_120
| ~ spl0_131 ),
inference(forward_demodulation,[],[f2075,f1462]) ).
fof(f2194,definition,
( spl0_184
<=> ! [X2,X0,X1] : not(and(X2,and(X0,not(X1)))) = or(not(X0),or(X1,not(X2))) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f2195,plain,
( ! [X2,X0,X1] : not(and(X2,and(X0,not(X1)))) = or(not(X0),or(X1,not(X2)))
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f2196,plain,
( spl0_184
| ~ spl0_34
| ~ spl0_119
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2129,f1461,f1454,f194,f2194]) ).
fof(f2206,plain,
( sum = or(sum,not(t7))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_80
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2149,f155]) ).
fof(f2208,plain,
( t6 = or(t6,not(t5))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_84
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2151,f155]) ).
fof(f2210,plain,
( t7 = or(t7,not(t5))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_82
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2153,f155]) ).
fof(f2211,plain,
( t6 = or(t6,not(t4))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_86
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2154,f155]) ).
fof(f2212,plain,
( t5 = or(t5,not(t4))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_85
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2155,f155]) ).
fof(f2217,plain,
( t3 = or(t3,not(t1))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_90
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2160,f155]) ).
fof(f2218,plain,
( t2 = or(t2,not(t1))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_89
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2161,f155]) ).
fof(f2219,plain,
( t5 = or(t5,not(cin))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_93
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2162,f155]) ).
fof(f2220,plain,
( t7 = or(t7,not(cin))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_92
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2163,f155]) ).
fof(f2221,plain,
( t3 = or(t3,not(b))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_95
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2164,f155]) ).
fof(f2222,plain,
( t1 = or(t1,not(b))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_94
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2165,f155]) ).
fof(f2223,plain,
( t1 = or(t1,not(a))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_97
| ~ spl0_120 ),
inference(forward_demodulation,[],[f2166,f155]) ).
fof(f2234,definition,
( spl0_187
<=> ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = or(not(X2),and(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f2235,plain,
( ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = or(not(X2),and(X0,X1))
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2236,plain,
( spl0_187
| ~ spl0_120
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2189,f1540,f1461,f2234]) ).
fof(f2246,definition,
( spl0_190
<=> sum = or(sum,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f2248,plain,
( sum = or(sum,not(t7))
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f2249,plain,
( spl0_190
| ~ spl0_24
| ~ spl0_36
| ~ spl0_80
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2206,f1461,f670,f202,f154,f2246]) ).
fof(f2256,definition,
( spl0_192
<=> t6 = or(t6,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f2258,plain,
( t6 = or(t6,not(t5))
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2259,plain,
( spl0_192
| ~ spl0_24
| ~ spl0_36
| ~ spl0_84
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2208,f1461,f690,f202,f154,f2256]) ).
fof(f2266,definition,
( spl0_194
<=> t7 = or(t7,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f2268,plain,
( t7 = or(t7,not(t5))
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f2269,plain,
( spl0_194
| ~ spl0_24
| ~ spl0_36
| ~ spl0_82
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2210,f1461,f680,f202,f154,f2266]) ).
fof(f2271,definition,
( spl0_195
<=> t6 = or(t6,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f2273,plain,
( t6 = or(t6,not(t4))
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f2271]) ).
fof(f2274,plain,
( spl0_195
| ~ spl0_24
| ~ spl0_36
| ~ spl0_86
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2211,f1461,f700,f202,f154,f2271]) ).
fof(f2276,definition,
( spl0_196
<=> t5 = or(t5,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f2278,plain,
( t5 = or(t5,not(t4))
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f2279,plain,
( spl0_196
| ~ spl0_24
| ~ spl0_36
| ~ spl0_85
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2212,f1461,f695,f202,f154,f2276]) ).
fof(f2301,definition,
( spl0_201
<=> t3 = or(t3,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f2303,plain,
( t3 = or(t3,not(t1))
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f2304,plain,
( spl0_201
| ~ spl0_24
| ~ spl0_36
| ~ spl0_90
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2217,f1461,f720,f202,f154,f2301]) ).
fof(f2306,definition,
( spl0_202
<=> t2 = or(t2,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
fof(f2308,plain,
( t2 = or(t2,not(t1))
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f2306]) ).
fof(f2309,plain,
( spl0_202
| ~ spl0_24
| ~ spl0_36
| ~ spl0_89
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2218,f1461,f715,f202,f154,f2306]) ).
fof(f2311,definition,
( spl0_203
<=> t5 = or(t5,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
fof(f2313,plain,
( t5 = or(t5,not(cin))
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2314,plain,
( spl0_203
| ~ spl0_24
| ~ spl0_36
| ~ spl0_93
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2219,f1461,f735,f202,f154,f2311]) ).
fof(f2316,definition,
( spl0_204
<=> t7 = or(t7,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
fof(f2318,plain,
( t7 = or(t7,not(cin))
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f2319,plain,
( spl0_204
| ~ spl0_24
| ~ spl0_36
| ~ spl0_92
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2220,f1461,f730,f202,f154,f2316]) ).
fof(f2321,definition,
( spl0_205
<=> t3 = or(t3,not(b)) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f2323,plain,
( t3 = or(t3,not(b))
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f2324,plain,
( spl0_205
| ~ spl0_24
| ~ spl0_36
| ~ spl0_95
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2221,f1461,f745,f202,f154,f2321]) ).
fof(f2326,definition,
( spl0_206
<=> t1 = or(t1,not(b)) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
fof(f2328,plain,
( t1 = or(t1,not(b))
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2326]) ).
fof(f2329,plain,
( spl0_206
| ~ spl0_24
| ~ spl0_36
| ~ spl0_94
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2222,f1461,f740,f202,f154,f2326]) ).
fof(f2331,definition,
( spl0_207
<=> t1 = or(t1,not(a)) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
fof(f2333,plain,
( t1 = or(t1,not(a))
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f2334,plain,
( spl0_207
| ~ spl0_24
| ~ spl0_36
| ~ spl0_97
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2223,f1461,f755,f202,f154,f2331]) ).
fof(f2390,plain,
( not(t5) = and(not(t5),t7)
| ~ spl0_69
| ~ spl0_194 ),
inference(superposition,[],[f523,f2268]) ).
fof(f2394,plain,
( not(t5) = and(t7,not(t5))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_194 ),
inference(forward_demodulation,[],[f2390,f199]) ).
fof(f2396,definition,
( spl0_214
<=> not(t5) = and(t7,not(t5)) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
fof(f2398,plain,
( not(t5) = and(t7,not(t5))
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2396]) ).
fof(f2399,plain,
( spl0_214
| ~ spl0_35
| ~ spl0_69
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f2394,f2266,f522,f198,f2396]) ).
fof(f2412,plain,
( not(t4) = and(not(t4),t5)
| ~ spl0_69
| ~ spl0_196 ),
inference(superposition,[],[f523,f2278]) ).
fof(f2416,plain,
( not(t4) = and(t5,not(t4))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_196 ),
inference(forward_demodulation,[],[f2412,f199]) ).
fof(f2418,definition,
( spl0_216
<=> not(t4) = and(t5,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
fof(f2420,plain,
( not(t4) = and(t5,not(t4))
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2421,plain,
( spl0_216
| ~ spl0_35
| ~ spl0_69
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f2416,f2276,f522,f198,f2418]) ).
fof(f2456,plain,
( not(t1) = and(not(t1),t3)
| ~ spl0_69
| ~ spl0_201 ),
inference(superposition,[],[f523,f2303]) ).
fof(f2460,plain,
( not(t1) = and(t3,not(t1))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_201 ),
inference(forward_demodulation,[],[f2456,f199]) ).
fof(f2462,definition,
( spl0_220
<=> not(t1) = and(t3,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
fof(f2464,plain,
( not(t1) = and(t3,not(t1))
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2465,plain,
( spl0_220
| ~ spl0_35
| ~ spl0_69
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2460,f2301,f522,f198,f2462]) ).
fof(f2467,plain,
( not(t1) = and(not(t1),t2)
| ~ spl0_69
| ~ spl0_202 ),
inference(superposition,[],[f523,f2308]) ).
fof(f2471,plain,
( not(t1) = and(t2,not(t1))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_202 ),
inference(forward_demodulation,[],[f2467,f199]) ).
fof(f2473,definition,
( spl0_221
<=> not(t1) = and(t2,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
fof(f2475,plain,
( not(t1) = and(t2,not(t1))
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f2476,plain,
( spl0_221
| ~ spl0_35
| ~ spl0_69
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2471,f2306,f522,f198,f2473]) ).
fof(f2478,plain,
( not(cin) = and(not(cin),t5)
| ~ spl0_69
| ~ spl0_203 ),
inference(superposition,[],[f523,f2313]) ).
fof(f2482,plain,
( not(cin) = and(t5,not(cin))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_203 ),
inference(forward_demodulation,[],[f2478,f199]) ).
fof(f2484,definition,
( spl0_222
<=> not(cin) = and(t5,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
fof(f2486,plain,
( not(cin) = and(t5,not(cin))
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2487,plain,
( spl0_222
| ~ spl0_35
| ~ spl0_69
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2482,f2311,f522,f198,f2484]) ).
fof(f2489,plain,
( not(cin) = and(not(cin),t7)
| ~ spl0_69
| ~ spl0_204 ),
inference(superposition,[],[f523,f2318]) ).
fof(f2493,plain,
( not(cin) = and(t7,not(cin))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2489,f199]) ).
fof(f2495,definition,
( spl0_223
<=> not(cin) = and(t7,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f2497,plain,
( not(cin) = and(t7,not(cin))
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2498,plain,
( spl0_223
| ~ spl0_35
| ~ spl0_69
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2493,f2316,f522,f198,f2495]) ).
fof(f2500,plain,
( not(b) = and(not(b),t3)
| ~ spl0_69
| ~ spl0_205 ),
inference(superposition,[],[f523,f2323]) ).
fof(f2504,plain,
( not(b) = and(t3,not(b))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2500,f199]) ).
fof(f2506,definition,
( spl0_224
<=> not(b) = and(t3,not(b)) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
fof(f2508,plain,
( not(b) = and(t3,not(b))
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2506]) ).
fof(f2509,plain,
( spl0_224
| ~ spl0_35
| ~ spl0_69
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2504,f2321,f522,f198,f2506]) ).
fof(f2511,plain,
( not(b) = and(not(b),t1)
| ~ spl0_69
| ~ spl0_206 ),
inference(superposition,[],[f523,f2328]) ).
fof(f2515,plain,
( not(b) = and(t1,not(b))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2511,f199]) ).
fof(f2517,definition,
( spl0_225
<=> not(b) = and(t1,not(b)) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
fof(f2519,plain,
( not(b) = and(t1,not(b))
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f2517]) ).
fof(f2520,plain,
( spl0_225
| ~ spl0_35
| ~ spl0_69
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2515,f2326,f522,f198,f2517]) ).
fof(f2522,plain,
( not(a) = and(not(a),t1)
| ~ spl0_69
| ~ spl0_207 ),
inference(superposition,[],[f523,f2333]) ).
fof(f2526,plain,
( not(a) = and(t1,not(a))
| ~ spl0_35
| ~ spl0_69
| ~ spl0_207 ),
inference(forward_demodulation,[],[f2522,f199]) ).
fof(f2528,definition,
( spl0_226
<=> not(a) = and(t1,not(a)) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
fof(f2530,plain,
( not(a) = and(t1,not(a))
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f2531,plain,
( spl0_226
| ~ spl0_35
| ~ spl0_69
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f2526,f2331,f522,f198,f2528]) ).
fof(f3031,plain,
( ! [X2,X0,X1] : or(or(X1,X0),not(X2)) = not(and(not(or(X0,X1)),X2))
| ~ spl0_121
| ~ spl0_156 ),
inference(superposition,[],[f1477,f1805]) ).
fof(f3033,plain,
( ! [X2,X0,X1] : or(and(X1,X0),not(X2)) = not(and(not(and(X0,X1)),X2))
| ~ spl0_121
| ~ spl0_131 ),
inference(superposition,[],[f1477,f1541]) ).
fof(f3069,plain,
( ! [X2,X0,X1] : not(or(X2,and(not(X0),X1))) = and(not(X2),or(X0,not(X1)))
| ~ spl0_17
| ~ spl0_121 ),
inference(superposition,[],[f125,f1477]) ).
fof(f3073,plain,
( ! [X2,X0,X1] : not(and(and(not(X0),X1),X2)) = or(not(X2),or(X0,not(X1)))
| ~ spl0_119
| ~ spl0_121 ),
inference(superposition,[],[f1455,f1477]) ).
fof(f3074,plain,
( ! [X2,X0,X1] : or(or(X0,not(X1)),not(X2)) = not(and(X2,and(not(X0),X1)))
| ~ spl0_119
| ~ spl0_121 ),
inference(superposition,[],[f1455,f1477]) ).
fof(f3075,plain,
( ! [X2,X0,X1] : or(not(X2),and(not(X0),X1)) = not(and(X2,or(X0,not(X1))))
| ~ spl0_120
| ~ spl0_121 ),
inference(superposition,[],[f1462,f1477]) ).
fof(f3077,definition,
( spl0_235
<=> ! [X2,X0,X1] : or(not(X2),and(not(X0),X1)) = not(and(X2,or(X0,not(X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
fof(f3078,plain,
( ! [X2,X0,X1] : or(not(X2),and(not(X0),X1)) = not(and(X2,or(X0,not(X1))))
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f3079,plain,
( spl0_235
| ~ spl0_120
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3075,f1476,f1461,f3077]) ).
fof(f3080,plain,
( ! [X2,X0,X1] : not(and(X2,and(not(X0),X1))) = or(X0,or(not(X1),not(X2)))
| ~ spl0_34
| ~ spl0_119
| ~ spl0_121 ),
inference(forward_demodulation,[],[f3074,f195]) ).
fof(f3081,plain,
( ! [X2,X0,X1] : not(and(and(not(X0),X1),X2)) = not(and(X1,and(X2,not(X0))))
| ~ spl0_119
| ~ spl0_121
| ~ spl0_184 ),
inference(forward_demodulation,[],[f3073,f2195]) ).
fof(f3088,definition,
( spl0_237
<=> ! [X2,X0,X1] : not(or(X2,and(not(X0),X1))) = and(not(X2),or(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
fof(f3089,plain,
( ! [X2,X0,X1] : not(or(X2,and(not(X0),X1))) = and(not(X2),or(X0,not(X1)))
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f3088]) ).
fof(f3090,plain,
( spl0_237
| ~ spl0_17
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3069,f1476,f124,f3088]) ).
fof(f3127,plain,
( ! [X2,X0,X1] : or(and(X1,X0),not(X2)) = or(and(X0,X1),not(X2))
| ~ spl0_121
| ~ spl0_131 ),
inference(forward_demodulation,[],[f3033,f1477]) ).
fof(f3129,plain,
( ! [X2,X0,X1] : or(or(X1,X0),not(X2)) = or(or(X0,X1),not(X2))
| ~ spl0_121
| ~ spl0_156 ),
inference(forward_demodulation,[],[f3031,f1477]) ).
fof(f3131,plain,
( ! [X2,X0,X1] : not(and(X2,and(not(X0),X1))) = or(X0,not(and(X1,X2)))
| ~ spl0_16
| ~ spl0_34
| ~ spl0_119
| ~ spl0_121 ),
inference(forward_demodulation,[],[f3080,f121]) ).
fof(f3132,plain,
( ! [X2,X0,X1] : not(and(X1,and(X2,not(X0)))) = not(and(not(X0),and(X1,X2)))
| ~ spl0_33
| ~ spl0_119
| ~ spl0_121
| ~ spl0_184 ),
inference(forward_demodulation,[],[f3081,f191]) ).
fof(f3148,definition,
( spl0_242
<=> ! [X2,X0,X1] : or(and(X1,X0),not(X2)) = or(and(X0,X1),not(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
fof(f3149,plain,
( ! [X2,X0,X1] : or(and(X1,X0),not(X2)) = or(and(X0,X1),not(X2))
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f3148]) ).
fof(f3150,plain,
( spl0_242
| ~ spl0_121
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3127,f1540,f1476,f3148]) ).
fof(f3151,plain,
( ! [X2,X0,X1] : or(or(X1,X0),not(X2)) = or(X0,or(X1,not(X2)))
| ~ spl0_34
| ~ spl0_121
| ~ spl0_156 ),
inference(forward_demodulation,[],[f3129,f195]) ).
fof(f3154,definition,
( spl0_243
<=> ! [X2,X0,X1] : not(and(X2,and(not(X0),X1))) = or(X0,not(and(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
fof(f3155,plain,
( ! [X2,X0,X1] : not(and(X2,and(not(X0),X1))) = or(X0,not(and(X1,X2)))
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f3154]) ).
fof(f3156,plain,
( spl0_243
| ~ spl0_16
| ~ spl0_34
| ~ spl0_119
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3131,f1476,f1454,f194,f120,f3154]) ).
fof(f3157,plain,
( ! [X2,X0,X1] : not(and(X1,and(X2,not(X0)))) = or(X0,not(and(X1,X2)))
| ~ spl0_33
| ~ spl0_119
| ~ spl0_121
| ~ spl0_184 ),
inference(forward_demodulation,[],[f3132,f1477]) ).
fof(f3159,plain,
( ! [X2,X0,X1] : or(X0,or(X1,not(X2))) = or(X1,or(X0,not(X2)))
| ~ spl0_34
| ~ spl0_121
| ~ spl0_156 ),
inference(forward_demodulation,[],[f3151,f195]) ).
fof(f3162,definition,
( spl0_244
<=> ! [X2,X0,X1] : not(and(X1,and(X2,not(X0)))) = or(X0,not(and(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
fof(f3163,plain,
( ! [X2,X0,X1] : not(and(X1,and(X2,not(X0)))) = or(X0,not(and(X1,X2)))
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f3162]) ).
fof(f3164,plain,
( spl0_244
| ~ spl0_33
| ~ spl0_119
| ~ spl0_121
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f3157,f2194,f1476,f1454,f190,f3162]) ).
fof(f3166,definition,
( spl0_245
<=> ! [X2,X0,X1] : or(X0,or(X1,not(X2))) = or(X1,or(X0,not(X2))) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
fof(f3167,plain,
( ! [X2,X0,X1] : or(X0,or(X1,not(X2))) = or(X1,or(X0,not(X2)))
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f3166]) ).
fof(f3168,plain,
( spl0_245
| ~ spl0_34
| ~ spl0_121
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3159,f1804,f1476,f194,f3166]) ).
fof(f3186,plain,
( ! [X0,X1] : and(X0,not(X1)) = not(or(X1,not(X0)))
| ~ spl0_24
| ~ spl0_145 ),
inference(superposition,[],[f1712,f155]) ).
fof(f3204,plain,
( ! [X0,X1] : and(not(X1),X0) = not(or(not(X0),X1))
| ~ spl0_24
| ~ spl0_145 ),
inference(superposition,[],[f1712,f155]) ).
fof(f3236,definition,
( spl0_246
<=> ! [X0,X1] : and(not(X1),X0) = not(or(not(X0),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
fof(f3237,plain,
( ! [X0,X1] : and(not(X1),X0) = not(or(not(X0),X1))
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f3236]) ).
fof(f3238,plain,
( spl0_246
| ~ spl0_24
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3204,f1711,f154,f3236]) ).
fof(f3263,definition,
( spl0_249
<=> ! [X0,X1] : and(X0,not(X1)) = not(or(X1,not(X0))) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
fof(f3264,plain,
( ! [X0,X1] : and(X0,not(X1)) = not(or(X1,not(X0)))
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f3263]) ).
fof(f3265,plain,
( spl0_249
| ~ spl0_24
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3186,f1711,f154,f3263]) ).
fof(f3338,plain,
( ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = not(or(X2,not(or(X0,X1))))
| ~ spl0_146
| ~ spl0_156 ),
inference(superposition,[],[f1719,f1805]) ).
fof(f3505,plain,
( ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = and(not(X2),or(X0,X1))
| ~ spl0_146
| ~ spl0_156 ),
inference(forward_demodulation,[],[f3338,f1719]) ).
fof(f3534,definition,
( spl0_262
<=> ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = and(not(X2),or(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
fof(f3535,plain,
( ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = and(not(X2),or(X0,X1))
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f3536,plain,
( spl0_262
| ~ spl0_146
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3505,f1804,f1718,f3534]) ).
fof(f3557,plain,
( ! [X2,X0,X1] : and(or(X1,X0),not(X2)) = not(or(not(or(X0,X1)),X2))
| ~ spl0_147
| ~ spl0_156 ),
inference(superposition,[],[f1736,f1805]) ).
fof(f3561,plain,
( ! [X2,X0,X1] : and(and(X1,X0),not(X2)) = not(or(not(and(X0,X1)),X2))
| ~ spl0_131
| ~ spl0_147 ),
inference(superposition,[],[f1736,f1541]) ).
fof(f3565,plain,
( ! [X0] : and(and(a,b),not(X0)) = not(or(t1,X0))
| ~ spl0_11
| ~ spl0_147 ),
inference(superposition,[],[f1736,f99]) ).
fof(f3606,plain,
( ! [X2,X0,X1] : and(not(X2),and(X0,not(X1))) = not(or(or(not(X0),X1),X2))
| ~ spl0_145
| ~ spl0_147 ),
inference(superposition,[],[f1712,f1736]) ).
fof(f3610,plain,
( ! [X2,X0,X1] : and(not(X2),and(X0,not(X1))) = not(or(not(X0),or(X1,X2)))
| ~ spl0_34
| ~ spl0_145
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3606,f195]) ).
fof(f3645,plain,
( ! [X0] : not(or(t1,X0)) = and(a,and(b,not(X0)))
| ~ spl0_11
| ~ spl0_33
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3565,f191]) ).
fof(f3649,plain,
( ! [X2,X0,X1] : and(and(X1,X0),not(X2)) = and(and(X0,X1),not(X2))
| ~ spl0_131
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3561,f1736]) ).
fof(f3651,plain,
( ! [X2,X0,X1] : and(or(X1,X0),not(X2)) = and(or(X0,X1),not(X2))
| ~ spl0_147
| ~ spl0_156 ),
inference(forward_demodulation,[],[f3557,f1736]) ).
fof(f3654,plain,
( ! [X2,X0,X1] : and(not(X2),and(X0,not(X1))) = and(X0,not(or(X1,X2)))
| ~ spl0_34
| ~ spl0_145
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3610,f1736]) ).
fof(f3698,definition,
( spl0_275
<=> ! [X0] : not(or(t1,X0)) = and(a,and(b,not(X0))) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
fof(f3699,plain,
( ! [X0] : not(or(t1,X0)) = and(a,and(b,not(X0)))
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f3698]) ).
fof(f3700,plain,
( spl0_275
| ~ spl0_11
| ~ spl0_33
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3645,f1735,f190,f97,f3698]) ).
fof(f3707,plain,
( ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(and(X1,X0),not(X2))
| ~ spl0_33
| ~ spl0_131
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3649,f191]) ).
fof(f3710,definition,
( spl0_277
<=> ! [X2,X0,X1] : and(or(X1,X0),not(X2)) = and(or(X0,X1),not(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
fof(f3711,plain,
( ! [X2,X0,X1] : and(or(X1,X0),not(X2)) = and(or(X0,X1),not(X2))
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f3710]) ).
fof(f3712,plain,
( spl0_277
| ~ spl0_147
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3651,f1804,f1735,f3710]) ).
fof(f3718,definition,
( spl0_279
<=> ! [X2,X0,X1] : and(not(X2),and(X0,not(X1))) = and(X0,not(or(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
fof(f3719,plain,
( ! [X2,X0,X1] : and(not(X2),and(X0,not(X1))) = and(X0,not(or(X1,X2)))
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f3718]) ).
fof(f3720,plain,
( spl0_279
| ~ spl0_34
| ~ spl0_145
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3654,f1735,f1711,f194,f3718]) ).
fof(f3724,plain,
( ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(X1,and(X0,not(X2)))
| ~ spl0_33
| ~ spl0_131
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3707,f191]) ).
fof(f3728,definition,
( spl0_280
<=> ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(X1,and(X0,not(X2))) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
fof(f3729,plain,
( ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(X1,and(X0,not(X2)))
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f3728]) ).
fof(f3730,plain,
( spl0_280
| ~ spl0_33
| ~ spl0_131
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3724,f1735,f1540,f190,f3728]) ).
fof(f3736,plain,
( ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = not(and(not(and(X0,X1)),X2))
| ~ spl0_131
| ~ spl0_175 ),
inference(superposition,[],[f1997,f1541]) ).
fof(f3788,plain,
( ! [X2,X0,X1] : not(or(or(not(X0),X1),X2)) = and(and(not(X1),X0),not(X2))
| ~ spl0_147
| ~ spl0_175 ),
inference(superposition,[],[f1736,f1997]) ).
fof(f3789,plain,
( ! [X2,X0,X1] : not(or(or(not(X0),X1),X2)) = and(not(X1),and(X0,not(X2)))
| ~ spl0_33
| ~ spl0_147
| ~ spl0_175 ),
inference(forward_demodulation,[],[f3788,f191]) ).
fof(f3853,plain,
( ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = or(and(X0,X1),not(X2))
| ~ spl0_121
| ~ spl0_131
| ~ spl0_175 ),
inference(forward_demodulation,[],[f3736,f1477]) ).
fof(f3859,plain,
( ! [X2,X0,X1] : not(or(or(not(X0),X1),X2)) = and(X0,not(or(X2,X1)))
| ~ spl0_33
| ~ spl0_147
| ~ spl0_175
| ~ spl0_279 ),
inference(forward_demodulation,[],[f3789,f3719]) ).
fof(f3892,definition,
( spl0_292
<=> ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = or(and(X0,X1),not(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
fof(f3893,plain,
( ! [X2,X0,X1] : or(not(X2),and(X1,X0)) = or(and(X0,X1),not(X2))
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f3892]) ).
fof(f3894,plain,
( spl0_292
| ~ spl0_121
| ~ spl0_131
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3853,f1996,f1540,f1476,f3892]) ).
fof(f3899,plain,
( ! [X2,X0,X1] : not(or(not(X0),or(X1,X2))) = and(X0,not(or(X2,X1)))
| ~ spl0_33
| ~ spl0_34
| ~ spl0_147
| ~ spl0_175
| ~ spl0_279 ),
inference(forward_demodulation,[],[f3859,f195]) ).
fof(f3916,plain,
( ! [X2,X0,X1] : and(X0,not(or(X1,X2))) = and(X0,not(or(X2,X1)))
| ~ spl0_33
| ~ spl0_34
| ~ spl0_147
| ~ spl0_175
| ~ spl0_279 ),
inference(forward_demodulation,[],[f3899,f1736]) ).
fof(f3919,definition,
( spl0_295
<=> ! [X2,X0,X1] : and(X0,not(or(X1,X2))) = and(X0,not(or(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
fof(f3920,plain,
( ! [X2,X0,X1] : and(X0,not(or(X1,X2))) = and(X0,not(or(X2,X1)))
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f3919]) ).
fof(f3921,plain,
( spl0_295
| ~ spl0_33
| ~ spl0_34
| ~ spl0_147
| ~ spl0_175
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f3916,f3718,f1996,f1735,f194,f190,f3919]) ).
fof(f4169,plain,
( ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = not(or(not(or(X0,X1)),X2))
| ~ spl0_156
| ~ spl0_246 ),
inference(superposition,[],[f3237,f1805]) ).
fof(f4174,plain,
( ! [X2,X0,X1] : and(not(X2),and(X1,X0)) = not(or(not(and(X0,X1)),X2))
| ~ spl0_131
| ~ spl0_246 ),
inference(superposition,[],[f3237,f1541]) ).
fof(f4267,plain,
( ! [X2,X0,X1] : and(not(X2),and(X1,X0)) = and(and(X0,X1),not(X2))
| ~ spl0_131
| ~ spl0_147
| ~ spl0_246 ),
inference(forward_demodulation,[],[f4174,f1736]) ).
fof(f4269,plain,
( ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = and(or(X0,X1),not(X2))
| ~ spl0_147
| ~ spl0_156
| ~ spl0_246 ),
inference(forward_demodulation,[],[f4169,f1736]) ).
fof(f4300,plain,
( ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(not(X2),and(X1,X0))
| ~ spl0_33
| ~ spl0_131
| ~ spl0_147
| ~ spl0_246 ),
inference(forward_demodulation,[],[f4267,f191]) ).
fof(f4303,definition,
( spl0_311
<=> ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = and(or(X0,X1),not(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
fof(f4304,plain,
( ! [X2,X0,X1] : and(not(X2),or(X1,X0)) = and(or(X0,X1),not(X2))
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f4303]) ).
fof(f4305,plain,
( spl0_311
| ~ spl0_147
| ~ spl0_156
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f4269,f3236,f1804,f1735,f4303]) ).
fof(f4315,definition,
( spl0_312
<=> ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(not(X2),and(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
fof(f4316,plain,
( ! [X2,X0,X1] : and(X0,and(X1,not(X2))) = and(not(X2),and(X1,X0))
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f4315]) ).
fof(f4317,plain,
( spl0_312
| ~ spl0_33
| ~ spl0_131
| ~ spl0_147
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f4300,f3236,f1735,f1540,f190,f4315]) ).
fof(f4582,plain,
( ll1 = or(not(t1),not(and(not(t1),a)))
| ~ spl0_97
| ~ spl0_141 ),
inference(superposition,[],[f1625,f757]) ).
fof(f4586,plain,
( ll1 = or(not(t1),not(and(not(t1),b)))
| ~ spl0_94
| ~ spl0_141 ),
inference(superposition,[],[f1625,f742]) ).
fof(f4618,plain,
( ll1 = or(not(cin),not(and(not(cin),t5)))
| ~ spl0_141
| ~ spl0_222 ),
inference(superposition,[],[f1625,f2486]) ).
fof(f4843,plain,
( ll1 = not(and(cin,and(not(cin),t5)))
| ~ spl0_16
| ~ spl0_141
| ~ spl0_222 ),
inference(forward_demodulation,[],[f4618,f121]) ).
fof(f4875,plain,
( ll1 = not(and(t1,and(not(t1),b)))
| ~ spl0_16
| ~ spl0_94
| ~ spl0_141 ),
inference(forward_demodulation,[],[f4586,f121]) ).
fof(f4879,plain,
( ll1 = not(and(t1,and(not(t1),a)))
| ~ spl0_16
| ~ spl0_97
| ~ spl0_141 ),
inference(forward_demodulation,[],[f4582,f121]) ).
fof(f5002,plain,
( ll1 = not(and(cin,and(t5,not(cin))))
| ~ spl0_16
| ~ spl0_141
| ~ spl0_143
| ~ spl0_222 ),
inference(forward_demodulation,[],[f4843,f1652]) ).
fof(f5034,plain,
( ll1 = not(and(t1,and(b,not(t1))))
| ~ spl0_16
| ~ spl0_94
| ~ spl0_141
| ~ spl0_143 ),
inference(forward_demodulation,[],[f4875,f1652]) ).
fof(f5038,plain,
( ll1 = not(and(t1,and(a,not(t1))))
| ~ spl0_16
| ~ spl0_97
| ~ spl0_141
| ~ spl0_143 ),
inference(forward_demodulation,[],[f4879,f1652]) ).
fof(f5157,plain,
( ll1 = or(cin,not(and(cin,t5)))
| ~ spl0_16
| ~ spl0_141
| ~ spl0_143
| ~ spl0_222
| ~ spl0_244 ),
inference(forward_demodulation,[],[f5002,f3163]) ).
fof(f5188,plain,
( ll1 = not(and(b,and(t1,not(t1))))
| ~ spl0_16
| ~ spl0_94
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5034,f1659]) ).
fof(f5192,plain,
( ll1 = not(and(a,and(t1,not(t1))))
| ~ spl0_16
| ~ spl0_97
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5038,f1659]) ).
fof(f5316,plain,
( ll1 = or(cin,not(not(t7)))
| ~ spl0_16
| ~ spl0_39
| ~ spl0_141
| ~ spl0_143
| ~ spl0_222
| ~ spl0_244 ),
inference(forward_demodulation,[],[f5157,f224]) ).
fof(f5366,plain,
( ll1 = or(t3,not(not(t1)))
| ~ spl0_16
| ~ spl0_94
| ~ spl0_128
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5188,f1529]) ).
fof(f5370,plain,
( ll1 = or(t2,not(not(t1)))
| ~ spl0_16
| ~ spl0_97
| ~ spl0_130
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5192,f1537]) ).
fof(f5459,plain,
( ll1 = or(cin,t7)
| ~ spl0_16
| ~ spl0_24
| ~ spl0_39
| ~ spl0_141
| ~ spl0_143
| ~ spl0_222
| ~ spl0_244 ),
inference(forward_demodulation,[],[f5316,f155]) ).
fof(f5509,plain,
( ll1 = or(t3,t1)
| ~ spl0_16
| ~ spl0_24
| ~ spl0_94
| ~ spl0_128
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5366,f155]) ).
fof(f5517,plain,
( ll1 = or(t2,t1)
| ~ spl0_16
| ~ spl0_24
| ~ spl0_97
| ~ spl0_130
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5370,f155]) ).
fof(f5575,definition,
( spl0_359
<=> ll1 = or(cin,t7) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
fof(f5577,plain,
( ll1 = or(cin,t7)
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f5575]) ).
fof(f5578,plain,
( spl0_359
| ~ spl0_16
| ~ spl0_24
| ~ spl0_39
| ~ spl0_141
| ~ spl0_143
| ~ spl0_222
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f5459,f3162,f2484,f1651,f1624,f222,f154,f120,f5575]) ).
fof(f5600,plain,
( ll1 = or(t1,t3)
| ~ spl0_16
| ~ spl0_24
| ~ spl0_36
| ~ spl0_94
| ~ spl0_128
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5509,f203]) ).
fof(f5601,plain,
( ll1 = or(t1,t2)
| ~ spl0_16
| ~ spl0_24
| ~ spl0_36
| ~ spl0_97
| ~ spl0_130
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(forward_demodulation,[],[f5517,f203]) ).
fof(f5645,definition,
( spl0_365
<=> ll1 = or(t1,t3) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
fof(f5647,plain,
( ll1 = or(t1,t3)
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f5645]) ).
fof(f5648,plain,
( spl0_365
| ~ spl0_16
| ~ spl0_24
| ~ spl0_36
| ~ spl0_94
| ~ spl0_128
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f5600,f1658,f1651,f1624,f1528,f740,f202,f154,f120,f5645]) ).
fof(f5650,definition,
( spl0_366
<=> ll1 = or(t1,t2) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
fof(f5652,plain,
( ll1 = or(t1,t2)
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f5650]) ).
fof(f5653,plain,
( spl0_366
| ~ spl0_16
| ~ spl0_24
| ~ spl0_36
| ~ spl0_97
| ~ spl0_130
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f5601,f1658,f1651,f1624,f1536,f755,f202,f154,f120,f5650]) ).
fof(f6284,plain,
( ll0 = and(t3,and(t2,t4))
| ~ spl0_8
| ~ spl0_142 ),
inference(superposition,[],[f1647,f84]) ).
fof(f6319,plain,
( ll0 = and(t3,and(t4,t2))
| ~ spl0_8
| ~ spl0_35
| ~ spl0_142 ),
inference(forward_demodulation,[],[f6284,f199]) ).
fof(f6404,definition,
( spl0_368
<=> ll0 = and(t3,and(t4,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
fof(f6406,plain,
( ll0 = and(t3,and(t4,t2))
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f6404]) ).
fof(f6407,plain,
( spl0_368
| ~ spl0_8
| ~ spl0_35
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f6319,f1646,f198,f82,f6404]) ).
fof(f6739,plain,
( ! [X2,X0,X1] : and(and(X0,X1),X2) = and(X1,and(X0,X2))
| ~ spl0_33
| ~ spl0_35 ),
inference(superposition,[],[f191,f199]) ).
fof(f6742,plain,
( ! [X2,X0,X1] : and(and(X0,X1),X2) = and(X1,and(and(X0,X1),X2))
| ~ spl0_33
| ~ spl0_118 ),
inference(superposition,[],[f191,f1260]) ).
fof(f6748,plain,
( ! [X0,X1] : and(ll0,X1) = and(X0,and(not(X0),X1))
| ~ spl0_27
| ~ spl0_33 ),
inference(superposition,[],[f191,f167]) ).
fof(f6756,plain,
( ! [X0] : and(ll0,X0) = and(a,and(not(t3),X0))
| ~ spl0_33
| ~ spl0_54 ),
inference(superposition,[],[f191,f338]) ).
fof(f6759,plain,
( ! [X0] : and(a,and(b,X0)) = and(not(t1),X0)
| ~ spl0_33
| ~ spl0_45 ),
inference(superposition,[],[f191,f262]) ).
fof(f6770,plain,
( ! [X0] : and(not(t5),X0) = and(cin,and(t4,X0))
| ~ spl0_33
| ~ spl0_41 ),
inference(superposition,[],[f191,f238]) ).
fof(f6771,plain,
( ! [X0] : and(not(t7),X0) = and(cin,and(t5,X0))
| ~ spl0_33
| ~ spl0_39 ),
inference(superposition,[],[f191,f224]) ).
fof(f6793,plain,
( ! [X0] : and(ll0,X0) = and(t4,and(not(t7),X0))
| ~ spl0_33
| ~ spl0_52 ),
inference(superposition,[],[f191,f328]) ).
fof(f6832,plain,
( ! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X0,X1))
| ~ spl0_33
| ~ spl0_35 ),
inference(superposition,[],[f199,f191]) ).
fof(f6905,definition,
( spl0_384
<=> ! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
fof(f6906,plain,
( ! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X0,X1))
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f6905]) ).
fof(f6907,plain,
( spl0_384
| ~ spl0_33
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f6832,f198,f190,f6905]) ).
fof(f6988,plain,
( ! [X0] : ll0 = and(t4,and(not(t7),X0))
| ~ spl0_33
| ~ spl0_52
| ~ spl0_65 ),
inference(forward_demodulation,[],[f6793,f474]) ).
fof(f7062,definition,
( spl0_419
<=> ! [X0] : and(not(t7),X0) = and(cin,and(t5,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).
fof(f7063,plain,
( ! [X0] : and(not(t7),X0) = and(cin,and(t5,X0))
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f7062]) ).
fof(f7064,plain,
( spl0_419
| ~ spl0_33
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f6771,f222,f190,f7062]) ).
fof(f7066,definition,
( spl0_420
<=> ! [X0] : and(not(t5),X0) = and(cin,and(t4,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
fof(f7067,plain,
( ! [X0] : and(not(t5),X0) = and(cin,and(t4,X0))
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f7066]) ).
fof(f7068,plain,
( spl0_420
| ~ spl0_33
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f6770,f236,f190,f7066]) ).
fof(f7098,definition,
( spl0_427
<=> ! [X0] : and(a,and(b,X0)) = and(not(t1),X0) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
fof(f7099,plain,
( ! [X0] : and(a,and(b,X0)) = and(not(t1),X0)
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f7098]) ).
fof(f7100,plain,
( spl0_427
| ~ spl0_33
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f6759,f260,f190,f7098]) ).
fof(f7109,plain,
( ! [X0] : ll0 = and(a,and(not(t3),X0))
| ~ spl0_33
| ~ spl0_54
| ~ spl0_65 ),
inference(forward_demodulation,[],[f6756,f474]) ).
fof(f7125,plain,
( ! [X0,X1] : ll0 = and(X0,and(not(X0),X1))
| ~ spl0_27
| ~ spl0_33
| ~ spl0_65 ),
inference(forward_demodulation,[],[f6748,f474]) ).
fof(f7130,plain,
( ! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X1,and(X0,and(X1,X2)))
| ~ spl0_33
| ~ spl0_118 ),
inference(forward_demodulation,[],[f6742,f191]) ).
fof(f7140,definition,
( spl0_435
<=> ! [X2,X0,X1] : and(and(X0,X1),X2) = and(X1,and(X0,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
fof(f7141,plain,
( ! [X2,X0,X1] : and(and(X0,X1),X2) = and(X1,and(X0,X2))
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f7140]) ).
fof(f7142,plain,
( spl0_435
| ~ spl0_33
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f6739,f198,f190,f7140]) ).
fof(f7162,definition,
( spl0_439
<=> ! [X0] : ll0 = and(t4,and(not(t7),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
fof(f7163,plain,
( ! [X0] : ll0 = and(t4,and(not(t7),X0))
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f7162]) ).
fof(f7164,plain,
( spl0_439
| ~ spl0_33
| ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f6988,f473,f326,f190,f7162]) ).
fof(f7180,definition,
( spl0_442
<=> ! [X0] : ll0 = and(a,and(not(t3),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).
fof(f7181,plain,
( ! [X0] : ll0 = and(a,and(not(t3),X0))
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f7180]) ).
fof(f7182,plain,
( spl0_442
| ~ spl0_33
| ~ spl0_54
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f7109,f473,f336,f190,f7180]) ).
fof(f7186,definition,
( spl0_443
<=> ! [X0,X1] : ll0 = and(X0,and(not(X0),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_443])],[avatar_definition]) ).
fof(f7187,plain,
( ! [X0,X1] : ll0 = and(X0,and(not(X0),X1))
| ~ spl0_443 ),
inference(avatar_component_clause,[],[f7186]) ).
fof(f7188,plain,
( spl0_443
| ~ spl0_27
| ~ spl0_33
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f7125,f473,f190,f166,f7186]) ).
fof(f7192,definition,
( spl0_444
<=> ! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X1,and(X0,and(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_444])],[avatar_definition]) ).
fof(f7193,plain,
( ! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X1,and(X0,and(X1,X2)))
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f7192]) ).
fof(f7194,plain,
( spl0_444
| ~ spl0_33
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f7130,f1259,f190,f7192]) ).
fof(f7410,plain,
( ! [X0,X1] : ll0 = and(X1,not(or(X0,X1)))
| ~ spl0_145
| ~ spl0_443 ),
inference(superposition,[],[f7187,f1712]) ).
fof(f7411,plain,
( ! [X0,X1] : ll0 = and(X0,not(or(X0,X1)))
| ~ spl0_17
| ~ spl0_443 ),
inference(superposition,[],[f7187,f125]) ).
fof(f7466,definition,
( spl0_470
<=> ! [X0,X1] : ll0 = and(X0,not(or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_470])],[avatar_definition]) ).
fof(f7467,plain,
( ! [X0,X1] : ll0 = and(X0,not(or(X0,X1)))
| ~ spl0_470 ),
inference(avatar_component_clause,[],[f7466]) ).
fof(f7468,plain,
( spl0_470
| ~ spl0_17
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f7411,f7186,f124,f7466]) ).
fof(f7470,definition,
( spl0_471
<=> ! [X0,X1] : ll0 = and(X1,not(or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_471])],[avatar_definition]) ).
fof(f7471,plain,
( ! [X0,X1] : ll0 = and(X1,not(or(X0,X1)))
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f7470]) ).
fof(f7472,plain,
( spl0_471
| ~ spl0_145
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f7410,f7186,f1711,f7470]) ).
fof(f7629,plain,
( ! [X0] : ll1 = or(ll0,not(and(and(not(t7),X0),t4)))
| ~ spl0_141
| ~ spl0_439 ),
inference(superposition,[],[f1625,f7163]) ).
fof(f7632,plain,
( ! [X0] : ll1 = not(and(and(not(t7),X0),t4))
| ~ spl0_68
| ~ spl0_141
| ~ spl0_439 ),
inference(forward_demodulation,[],[f7629,f519]) ).
fof(f7647,plain,
( ! [X0] : ll1 = not(and(t4,and(not(t7),X0)))
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_439 ),
inference(forward_demodulation,[],[f7632,f1541]) ).
fof(f7652,plain,
( ! [X0] : ll1 = or(t7,not(and(X0,t4)))
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_243
| ~ spl0_439 ),
inference(forward_demodulation,[],[f7647,f3155]) ).
fof(f7657,definition,
( spl0_488
<=> ! [X0] : ll1 = or(t7,not(and(X0,t4))) ),
introduced(definition,[new_symbols(definition,[spl0_488])],[avatar_definition]) ).
fof(f7658,plain,
( ! [X0] : ll1 = or(t7,not(and(X0,t4)))
| ~ spl0_488 ),
inference(avatar_component_clause,[],[f7657]) ).
fof(f7659,plain,
( spl0_488
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_243
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f7652,f7162,f3154,f1624,f1540,f518,f7657]) ).
fof(f7668,plain,
( ! [X0] : ll0 = and(a,and(X0,not(t3)))
| ~ spl0_35
| ~ spl0_442 ),
inference(superposition,[],[f7181,f199]) ).
fof(f7700,definition,
( spl0_489
<=> ! [X0] : ll0 = and(a,and(X0,not(t3))) ),
introduced(definition,[new_symbols(definition,[spl0_489])],[avatar_definition]) ).
fof(f7701,plain,
( ! [X0] : ll0 = and(a,and(X0,not(t3)))
| ~ spl0_489 ),
inference(avatar_component_clause,[],[f7700]) ).
fof(f7703,plain,
( spl0_489
| ~ spl0_35
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f7668,f7180,f198,f7700]) ).
fof(f8458,plain,
( ll0 = and(not(t1),not(a))
| ~ spl0_62
| ~ spl0_471 ),
inference(superposition,[],[f7471,f433]) ).
fof(f8463,plain,
( ll0 = and(not(t1),not(b))
| ~ spl0_77
| ~ spl0_471 ),
inference(superposition,[],[f7471,f595]) ).
fof(f8466,plain,
( ll0 = and(not(t5),not(cin))
| ~ spl0_59
| ~ spl0_471 ),
inference(superposition,[],[f7471,f418]) ).
fof(f8489,plain,
( ll0 = and(not(t4),not(t2))
| ~ spl0_57
| ~ spl0_471 ),
inference(superposition,[],[f7471,f408]) ).
fof(f8496,plain,
( ll0 = and(not(t4),not(t3))
| ~ spl0_72
| ~ spl0_471 ),
inference(superposition,[],[f7471,f570]) ).
fof(f8521,plain,
( ll0 = and(not(sum),not(t6))
| ~ spl0_55
| ~ spl0_471 ),
inference(superposition,[],[f7471,f398]) ).
fof(f8528,plain,
( ll0 = and(not(sum),not(t7))
| ~ spl0_70
| ~ spl0_471 ),
inference(superposition,[],[f7471,f560]) ).
fof(f8597,plain,
( ll0 = not(or(sum,t7))
| ~ spl0_17
| ~ spl0_70
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8528,f125]) ).
fof(f8604,plain,
( ll0 = not(or(sum,t6))
| ~ spl0_17
| ~ spl0_55
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8521,f125]) ).
fof(f8629,plain,
( ll0 = not(or(t4,t3))
| ~ spl0_17
| ~ spl0_72
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8496,f125]) ).
fof(f8636,plain,
( ll0 = not(or(t4,t2))
| ~ spl0_17
| ~ spl0_57
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8489,f125]) ).
fof(f8659,plain,
( ll0 = not(or(t5,cin))
| ~ spl0_17
| ~ spl0_59
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8466,f125]) ).
fof(f8662,plain,
( ll0 = not(or(t1,b))
| ~ spl0_17
| ~ spl0_77
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8463,f125]) ).
fof(f8667,plain,
( ll0 = not(or(t1,a))
| ~ spl0_17
| ~ spl0_62
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8458,f125]) ).
fof(f8708,definition,
( spl0_523
<=> ll0 = not(or(t6,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_523])],[avatar_definition]) ).
fof(f8710,plain,
( ll0 = not(or(t6,sum))
| ~ spl0_523 ),
inference(avatar_component_clause,[],[f8708]) ).
fof(f8713,definition,
( spl0_524
<=> ll0 = not(or(t7,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_524])],[avatar_definition]) ).
fof(f8715,plain,
( ll0 = not(or(t7,sum))
| ~ spl0_524 ),
inference(avatar_component_clause,[],[f8713]) ).
fof(f8717,plain,
( ll0 = not(or(t7,sum))
| ~ spl0_17
| ~ spl0_70
| ~ spl0_156
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8597,f1805]) ).
fof(f8724,plain,
( ll0 = not(or(t6,sum))
| ~ spl0_17
| ~ spl0_55
| ~ spl0_156
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8604,f1805]) ).
fof(f8736,definition,
( spl0_525
<=> ll0 = not(or(cin,t5)) ),
introduced(definition,[new_symbols(definition,[spl0_525])],[avatar_definition]) ).
fof(f8738,plain,
( ll0 = not(or(cin,t5))
| ~ spl0_525 ),
inference(avatar_component_clause,[],[f8736]) ).
fof(f8755,definition,
( spl0_527
<=> ll0 = not(or(t4,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_527])],[avatar_definition]) ).
fof(f8757,plain,
( ll0 = not(or(t4,t3))
| ~ spl0_527 ),
inference(avatar_component_clause,[],[f8755]) ).
fof(f8758,plain,
( spl0_527
| ~ spl0_17
| ~ spl0_72
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8629,f7470,f568,f124,f8755]) ).
fof(f8766,definition,
( spl0_528
<=> ll0 = not(or(t4,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_528])],[avatar_definition]) ).
fof(f8768,plain,
( ll0 = not(or(t4,t2))
| ~ spl0_528 ),
inference(avatar_component_clause,[],[f8766]) ).
fof(f8769,plain,
( spl0_528
| ~ spl0_17
| ~ spl0_57
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8636,f7470,f406,f124,f8766]) ).
fof(f8780,definition,
( spl0_529
<=> ll0 = not(or(b,t1)) ),
introduced(definition,[new_symbols(definition,[spl0_529])],[avatar_definition]) ).
fof(f8782,plain,
( ll0 = not(or(b,t1))
| ~ spl0_529 ),
inference(avatar_component_clause,[],[f8780]) ).
fof(f8785,definition,
( spl0_530
<=> ll0 = not(or(a,t1)) ),
introduced(definition,[new_symbols(definition,[spl0_530])],[avatar_definition]) ).
fof(f8787,plain,
( ll0 = not(or(a,t1))
| ~ spl0_530 ),
inference(avatar_component_clause,[],[f8785]) ).
fof(f8797,plain,
( ll0 = not(or(cin,t5))
| ~ spl0_17
| ~ spl0_59
| ~ spl0_156
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8659,f1805]) ).
fof(f8799,plain,
( ll0 = not(or(b,t1))
| ~ spl0_17
| ~ spl0_77
| ~ spl0_156
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8662,f1805]) ).
fof(f8803,plain,
( ll0 = not(or(a,t1))
| ~ spl0_17
| ~ spl0_62
| ~ spl0_156
| ~ spl0_471 ),
inference(forward_demodulation,[],[f8667,f1805]) ).
fof(f8822,plain,
( spl0_524
| ~ spl0_17
| ~ spl0_70
| ~ spl0_156
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8717,f7470,f1804,f558,f124,f8713]) ).
fof(f8827,plain,
( spl0_523
| ~ spl0_17
| ~ spl0_55
| ~ spl0_156
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8724,f7470,f1804,f396,f124,f8708]) ).
fof(f8866,plain,
( spl0_525
| ~ spl0_17
| ~ spl0_59
| ~ spl0_156
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8797,f7470,f1804,f416,f124,f8736]) ).
fof(f8868,plain,
( spl0_529
| ~ spl0_17
| ~ spl0_77
| ~ spl0_156
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8799,f7470,f1804,f593,f124,f8780]) ).
fof(f8872,plain,
( spl0_530
| ~ spl0_17
| ~ spl0_62
| ~ spl0_156
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f8803,f7470,f1804,f431,f124,f8785]) ).
fof(f9134,plain,
( ll1 = or(or(t6,sum),ll0)
| ~ spl0_28
| ~ spl0_523 ),
inference(superposition,[],[f171,f8710]) ).
fof(f9163,plain,
( ll1 = or(t6,or(sum,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_523 ),
inference(forward_demodulation,[],[f9134,f195]) ).
fof(f9196,plain,
( ll1 = or(t6,sum)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_523 ),
inference(forward_demodulation,[],[f9163,f187]) ).
fof(f9198,definition,
( spl0_555
<=> ll1 = or(t6,sum) ),
introduced(definition,[new_symbols(definition,[spl0_555])],[avatar_definition]) ).
fof(f9200,plain,
( ll1 = or(t6,sum)
| ~ spl0_555 ),
inference(avatar_component_clause,[],[f9198]) ).
fof(f9214,plain,
( spl0_555
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_523 ),
inference(avatar_split_clause,[],[f9196,f8708,f194,f186,f170,f9198]) ).
fof(f9245,plain,
( ll1 = or(or(t7,sum),ll0)
| ~ spl0_28
| ~ spl0_524 ),
inference(superposition,[],[f171,f8715]) ).
fof(f9274,plain,
( ll1 = or(t7,or(sum,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_524 ),
inference(forward_demodulation,[],[f9245,f195]) ).
fof(f9307,plain,
( ll1 = or(t7,sum)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_524 ),
inference(forward_demodulation,[],[f9274,f187]) ).
fof(f9309,definition,
( spl0_563
<=> ll1 = or(t7,sum) ),
introduced(definition,[new_symbols(definition,[spl0_563])],[avatar_definition]) ).
fof(f9311,plain,
( ll1 = or(t7,sum)
| ~ spl0_563 ),
inference(avatar_component_clause,[],[f9309]) ).
fof(f9325,plain,
( spl0_563
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_524 ),
inference(avatar_split_clause,[],[f9307,f8713,f194,f186,f170,f9309]) ).
fof(f9356,plain,
( ll1 = or(or(cin,t5),ll0)
| ~ spl0_28
| ~ spl0_525 ),
inference(superposition,[],[f171,f8738]) ).
fof(f9385,plain,
( ll1 = or(cin,or(t5,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_525 ),
inference(forward_demodulation,[],[f9356,f195]) ).
fof(f9418,plain,
( ll1 = or(cin,t5)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_525 ),
inference(forward_demodulation,[],[f9385,f187]) ).
fof(f9420,definition,
( spl0_571
<=> ll1 = or(cin,t5) ),
introduced(definition,[new_symbols(definition,[spl0_571])],[avatar_definition]) ).
fof(f9422,plain,
( ll1 = or(cin,t5)
| ~ spl0_571 ),
inference(avatar_component_clause,[],[f9420]) ).
fof(f9436,plain,
( spl0_571
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_525 ),
inference(avatar_split_clause,[],[f9418,f8736,f194,f186,f170,f9420]) ).
fof(f9578,plain,
( ll1 = or(or(t4,t3),ll0)
| ~ spl0_28
| ~ spl0_527 ),
inference(superposition,[],[f171,f8757]) ).
fof(f9607,plain,
( ll1 = or(t4,or(t3,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_527 ),
inference(forward_demodulation,[],[f9578,f195]) ).
fof(f9640,plain,
( ll1 = or(t4,t3)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_527 ),
inference(forward_demodulation,[],[f9607,f187]) ).
fof(f9642,definition,
( spl0_587
<=> ll1 = or(t4,t3) ),
introduced(definition,[new_symbols(definition,[spl0_587])],[avatar_definition]) ).
fof(f9644,plain,
( ll1 = or(t4,t3)
| ~ spl0_587 ),
inference(avatar_component_clause,[],[f9642]) ).
fof(f9658,plain,
( spl0_587
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_527 ),
inference(avatar_split_clause,[],[f9640,f8755,f194,f186,f170,f9642]) ).
fof(f9689,plain,
( ll1 = or(or(t4,t2),ll0)
| ~ spl0_28
| ~ spl0_528 ),
inference(superposition,[],[f171,f8768]) ).
fof(f9718,plain,
( ll1 = or(t4,or(t2,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_528 ),
inference(forward_demodulation,[],[f9689,f195]) ).
fof(f9751,plain,
( ll1 = or(t4,t2)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_528 ),
inference(forward_demodulation,[],[f9718,f187]) ).
fof(f9753,definition,
( spl0_595
<=> ll1 = or(t4,t2) ),
introduced(definition,[new_symbols(definition,[spl0_595])],[avatar_definition]) ).
fof(f9755,plain,
( ll1 = or(t4,t2)
| ~ spl0_595 ),
inference(avatar_component_clause,[],[f9753]) ).
fof(f9769,plain,
( spl0_595
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f9751,f8766,f194,f186,f170,f9753]) ).
fof(f9800,plain,
( ll1 = or(or(b,t1),ll0)
| ~ spl0_28
| ~ spl0_529 ),
inference(superposition,[],[f171,f8782]) ).
fof(f9829,plain,
( ll1 = or(b,or(t1,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_529 ),
inference(forward_demodulation,[],[f9800,f195]) ).
fof(f9862,plain,
( ll1 = or(b,t1)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_529 ),
inference(forward_demodulation,[],[f9829,f187]) ).
fof(f9864,definition,
( spl0_603
<=> ll1 = or(b,t1) ),
introduced(definition,[new_symbols(definition,[spl0_603])],[avatar_definition]) ).
fof(f9866,plain,
( ll1 = or(b,t1)
| ~ spl0_603 ),
inference(avatar_component_clause,[],[f9864]) ).
fof(f9880,plain,
( spl0_603
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_529 ),
inference(avatar_split_clause,[],[f9862,f8780,f194,f186,f170,f9864]) ).
fof(f9911,plain,
( ll1 = or(or(a,t1),ll0)
| ~ spl0_28
| ~ spl0_530 ),
inference(superposition,[],[f171,f8787]) ).
fof(f9940,plain,
( ll1 = or(a,or(t1,ll0))
| ~ spl0_28
| ~ spl0_34
| ~ spl0_530 ),
inference(forward_demodulation,[],[f9911,f195]) ).
fof(f9973,plain,
( ll1 = or(a,t1)
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_530 ),
inference(forward_demodulation,[],[f9940,f187]) ).
fof(f9975,definition,
( spl0_611
<=> ll1 = or(a,t1) ),
introduced(definition,[new_symbols(definition,[spl0_611])],[avatar_definition]) ).
fof(f9977,plain,
( ll1 = or(a,t1)
| ~ spl0_611 ),
inference(avatar_component_clause,[],[f9975]) ).
fof(f9991,plain,
( spl0_611
| ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_530 ),
inference(avatar_split_clause,[],[f9973,f8785,f194,f186,f170,f9975]) ).
fof(f10901,plain,
( ll1 = or(t7,not(not(t6)))
| ~ spl0_40
| ~ spl0_488 ),
inference(superposition,[],[f7658,f231]) ).
fof(f10926,plain,
( ll1 = or(t7,t6)
| ~ spl0_24
| ~ spl0_40
| ~ spl0_488 ),
inference(forward_demodulation,[],[f10901,f155]) ).
fof(f10937,plain,
( ll1 = or(t6,t7)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_40
| ~ spl0_488 ),
inference(forward_demodulation,[],[f10926,f203]) ).
fof(f10942,definition,
( spl0_627
<=> ll1 = or(t6,t7) ),
introduced(definition,[new_symbols(definition,[spl0_627])],[avatar_definition]) ).
fof(f10944,plain,
( ll1 = or(t6,t7)
| ~ spl0_627 ),
inference(avatar_component_clause,[],[f10942]) ).
fof(f10945,plain,
( spl0_627
| ~ spl0_24
| ~ spl0_36
| ~ spl0_40
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f10937,f7657,f229,f202,f154,f10942]) ).
fof(f10981,plain,
( ! [X0] : ll1 = or(ll0,not(and(and(X0,not(t3)),a)))
| ~ spl0_141
| ~ spl0_489 ),
inference(superposition,[],[f1625,f7701]) ).
fof(f10988,plain,
( ! [X0] : ll1 = not(and(and(X0,not(t3)),a))
| ~ spl0_68
| ~ spl0_141
| ~ spl0_489 ),
inference(forward_demodulation,[],[f10981,f519]) ).
fof(f10998,plain,
( ! [X0] : ll1 = not(and(a,and(X0,not(t3))))
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_489 ),
inference(forward_demodulation,[],[f10988,f1541]) ).
fof(f11004,plain,
( ! [X0] : ll1 = or(t3,not(and(a,X0)))
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_244
| ~ spl0_489 ),
inference(forward_demodulation,[],[f10998,f3163]) ).
fof(f11013,definition,
( spl0_630
<=> ! [X0] : ll1 = or(t3,not(and(a,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_630])],[avatar_definition]) ).
fof(f11014,plain,
( ! [X0] : ll1 = or(t3,not(and(a,X0)))
| ~ spl0_630 ),
inference(avatar_component_clause,[],[f11013]) ).
fof(f11015,plain,
( spl0_630
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_244
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f11004,f7700,f3162,f1624,f1540,f518,f11013]) ).
fof(f12355,plain,
( ! [X2,X0,X1] : or(X0,X2) = or(X0,or(and(X0,X1),X2))
| ~ spl0_19
| ~ spl0_34 ),
inference(superposition,[],[f195,f133]) ).
fof(f12387,plain,
( ! [X0] : or(cin,X0) = or(cin,or(not(t7),X0))
| ~ spl0_34
| ~ spl0_60 ),
inference(superposition,[],[f195,f423]) ).
fof(f12495,plain,
( ! [X2,X0,X1] : and(X2,or(X0,or(X1,X2))) = X2
| ~ spl0_34
| ~ spl0_69 ),
inference(superposition,[],[f523,f195]) ).
fof(f12583,definition,
( spl0_702
<=> ! [X2,X0,X1] : and(X2,or(X0,or(X1,X2))) = X2 ),
introduced(definition,[new_symbols(definition,[spl0_702])],[avatar_definition]) ).
fof(f12584,plain,
( ! [X2,X0,X1] : and(X2,or(X0,or(X1,X2))) = X2
| ~ spl0_702 ),
inference(avatar_component_clause,[],[f12583]) ).
fof(f12585,plain,
( spl0_702
| ~ spl0_34
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f12495,f522,f194,f12583]) ).
fof(f12783,definition,
( spl0_736
<=> ! [X0] : or(cin,X0) = or(cin,or(not(t7),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_736])],[avatar_definition]) ).
fof(f12784,plain,
( ! [X0] : or(cin,X0) = or(cin,or(not(t7),X0))
| ~ spl0_736 ),
inference(avatar_component_clause,[],[f12783]) ).
fof(f12785,plain,
( spl0_736
| ~ spl0_34
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f12387,f421,f194,f12783]) ).
fof(f12840,definition,
( spl0_745
<=> ! [X2,X0,X1] : or(X0,X2) = or(X0,or(and(X0,X1),X2)) ),
introduced(definition,[new_symbols(definition,[spl0_745])],[avatar_definition]) ).
fof(f12841,plain,
( ! [X2,X0,X1] : or(X0,X2) = or(X0,or(and(X0,X1),X2))
| ~ spl0_745 ),
inference(avatar_component_clause,[],[f12840]) ).
fof(f12842,plain,
( spl0_745
| ~ spl0_19
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f12355,f194,f132,f12840]) ).
fof(f17735,plain,
( ! [X2,X0,X1] : or(X1,and(X0,X2)) = and(or(X0,X1),or(X1,X2))
| ~ spl0_29
| ~ spl0_36 ),
inference(superposition,[],[f175,f203]) ).
fof(f17742,plain,
( ! [X2,X0,X1] : and(X0,or(X0,X2)) = or(X0,and(and(X1,X0),X2))
| ~ spl0_29
| ~ spl0_66 ),
inference(superposition,[],[f175,f478]) ).
fof(f17764,plain,
( ! [X0] : and(ll1,or(a,X0)) = or(a,and(t1,X0))
| ~ spl0_29
| ~ spl0_611 ),
inference(superposition,[],[f175,f9977]) ).
fof(f17773,plain,
( ! [X0] : and(ll1,or(b,X0)) = or(b,and(t1,X0))
| ~ spl0_29
| ~ spl0_603 ),
inference(superposition,[],[f175,f9866]) ).
fof(f17785,plain,
( ! [X0] : and(ll1,or(cin,X0)) = or(cin,and(t5,X0))
| ~ spl0_29
| ~ spl0_571 ),
inference(superposition,[],[f175,f9422]) ).
fof(f17786,plain,
( ! [X0] : and(ll1,or(cin,X0)) = or(cin,and(t7,X0))
| ~ spl0_29
| ~ spl0_359 ),
inference(superposition,[],[f175,f5577]) ).
fof(f17808,plain,
( ! [X0] : and(ll1,or(t1,X0)) = or(t1,and(t3,X0))
| ~ spl0_29
| ~ spl0_365 ),
inference(superposition,[],[f175,f5647]) ).
fof(f17827,plain,
( ! [X0] : or(t3,and(not(b),X0)) = and(t3,or(t3,X0))
| ~ spl0_29
| ~ spl0_205 ),
inference(superposition,[],[f175,f2323]) ).
fof(f17883,plain,
( ! [X0] : or(t6,and(not(t4),X0)) = and(t6,or(t6,X0))
| ~ spl0_29
| ~ spl0_195 ),
inference(superposition,[],[f175,f2273]) ).
fof(f17884,plain,
( ! [X0] : and(t6,or(t6,X0)) = or(t6,and(not(t5),X0))
| ~ spl0_29
| ~ spl0_192 ),
inference(superposition,[],[f175,f2258]) ).
fof(f17886,plain,
( ! [X0] : and(ll1,or(t6,X0)) = or(t6,and(t7,X0))
| ~ spl0_29
| ~ spl0_627 ),
inference(superposition,[],[f175,f10944]) ).
fof(f17893,plain,
( ! [X0] : or(t7,and(not(cin),X0)) = and(t7,or(t7,X0))
| ~ spl0_29
| ~ spl0_204 ),
inference(superposition,[],[f175,f2318]) ).
fof(f17915,plain,
( ! [X2,X0,X1] : or(X1,and(X2,X0)) = and(or(X1,X2),or(X0,X1))
| ~ spl0_29
| ~ spl0_36 ),
inference(superposition,[],[f175,f203]) ).
fof(f17953,plain,
( ! [X0] : and(or(b,X0),ll1) = or(b,and(X0,t1))
| ~ spl0_29
| ~ spl0_603 ),
inference(superposition,[],[f175,f9866]) ).
fof(f17965,plain,
( ! [X0] : and(or(cin,X0),ll1) = or(cin,and(X0,t5))
| ~ spl0_29
| ~ spl0_571 ),
inference(superposition,[],[f175,f9422]) ).
fof(f17987,plain,
( ! [X0] : and(or(t1,X0),ll1) = or(t1,and(X0,t2))
| ~ spl0_29
| ~ spl0_366 ),
inference(superposition,[],[f175,f5652]) ).
fof(f18028,plain,
( ! [X0] : and(or(t4,X0),ll1) = or(t4,and(X0,t2))
| ~ spl0_29
| ~ spl0_595 ),
inference(superposition,[],[f175,f9755]) ).
fof(f18029,plain,
( ! [X0] : and(or(t4,X0),ll1) = or(t4,and(X0,t3))
| ~ spl0_29
| ~ spl0_587 ),
inference(superposition,[],[f175,f9644]) ).
fof(f18067,plain,
( ! [X0] : and(or(t6,X0),ll1) = or(t6,and(X0,sum))
| ~ spl0_29
| ~ spl0_555 ),
inference(superposition,[],[f175,f9200]) ).
fof(f18077,plain,
( ! [X0] : and(or(t7,X0),ll1) = or(t7,and(X0,sum))
| ~ spl0_29
| ~ spl0_563 ),
inference(superposition,[],[f175,f9311]) ).
fof(f18102,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X2),or(X0,X1))
| ~ spl0_29
| ~ spl0_35 ),
inference(superposition,[],[f199,f175]) ).
fof(f18106,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X2),or(X0,and(X1,X2)))
| ~ spl0_29
| ~ spl0_118 ),
inference(superposition,[],[f1260,f175]) ).
fof(f18124,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = or(X0,and(X2,and(X1,X2)))
| ~ spl0_29
| ~ spl0_118 ),
inference(forward_demodulation,[],[f18106,f175]) ).
fof(f18129,definition,
( spl0_899
<=> ! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X2),or(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_899])],[avatar_definition]) ).
fof(f18130,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = and(or(X0,X2),or(X0,X1))
| ~ spl0_899 ),
inference(avatar_component_clause,[],[f18129]) ).
fof(f18131,plain,
( spl0_899
| ~ spl0_29
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f18102,f198,f174,f18129]) ).
fof(f18152,plain,
( ! [X0] : or(t7,X0) = or(t7,and(X0,sum))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_563 ),
inference(forward_demodulation,[],[f18077,f183]) ).
fof(f18162,plain,
( ! [X0] : or(t6,X0) = or(t6,and(X0,sum))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_555 ),
inference(forward_demodulation,[],[f18067,f183]) ).
fof(f18200,plain,
( ! [X0] : or(t4,X0) = or(t4,and(X0,t3))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_587 ),
inference(forward_demodulation,[],[f18029,f183]) ).
fof(f18201,plain,
( ! [X0] : or(t4,X0) = or(t4,and(X0,t2))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_595 ),
inference(forward_demodulation,[],[f18028,f183]) ).
fof(f18242,plain,
( ! [X0] : or(t1,X0) = or(t1,and(X0,t2))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_366 ),
inference(forward_demodulation,[],[f17987,f183]) ).
fof(f18264,plain,
( ! [X0] : or(cin,X0) = or(cin,and(X0,t5))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_571 ),
inference(forward_demodulation,[],[f17965,f183]) ).
fof(f18276,plain,
( ! [X0] : or(b,X0) = or(b,and(X0,t1))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_603 ),
inference(forward_demodulation,[],[f17953,f183]) ).
fof(f18318,definition,
( spl0_902
<=> ! [X2,X0,X1] : or(X1,and(X2,X0)) = and(or(X1,X2),or(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_902])],[avatar_definition]) ).
fof(f18319,plain,
( ! [X2,X0,X1] : or(X1,and(X2,X0)) = and(or(X1,X2),or(X0,X1))
| ~ spl0_902 ),
inference(avatar_component_clause,[],[f18318]) ).
fof(f18320,plain,
( spl0_902
| ~ spl0_29
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f17915,f202,f174,f18318]) ).
fof(f18341,plain,
( ! [X0] : t7 = or(t7,and(not(cin),X0))
| ~ spl0_18
| ~ spl0_29
| ~ spl0_204 ),
inference(forward_demodulation,[],[f17893,f129]) ).
fof(f18348,plain,
( ! [X0] : or(t6,X0) = or(t6,and(t7,X0))
| ~ spl0_29
| ~ spl0_64
| ~ spl0_627 ),
inference(forward_demodulation,[],[f17886,f470]) ).
fof(f18350,plain,
( ! [X0] : t6 = or(t6,and(not(t5),X0))
| ~ spl0_18
| ~ spl0_29
| ~ spl0_192 ),
inference(forward_demodulation,[],[f17884,f129]) ).
fof(f18351,plain,
( ! [X0] : t6 = or(t6,and(not(t4),X0))
| ~ spl0_18
| ~ spl0_29
| ~ spl0_195 ),
inference(forward_demodulation,[],[f17883,f129]) ).
fof(f18407,plain,
( ! [X0] : t3 = or(t3,and(not(b),X0))
| ~ spl0_18
| ~ spl0_29
| ~ spl0_205 ),
inference(forward_demodulation,[],[f17827,f129]) ).
fof(f18426,plain,
( ! [X0] : or(t1,X0) = or(t1,and(t3,X0))
| ~ spl0_29
| ~ spl0_64
| ~ spl0_365 ),
inference(forward_demodulation,[],[f17808,f470]) ).
fof(f18448,plain,
( ! [X0] : or(cin,X0) = or(cin,and(t7,X0))
| ~ spl0_29
| ~ spl0_64
| ~ spl0_359 ),
inference(forward_demodulation,[],[f17786,f470]) ).
fof(f18449,plain,
( ! [X0] : or(cin,X0) = or(cin,and(t5,X0))
| ~ spl0_29
| ~ spl0_64
| ~ spl0_571 ),
inference(forward_demodulation,[],[f17785,f470]) ).
fof(f18461,plain,
( ! [X0] : or(b,X0) = or(b,and(t1,X0))
| ~ spl0_29
| ~ spl0_64
| ~ spl0_603 ),
inference(forward_demodulation,[],[f17773,f470]) ).
fof(f18470,plain,
( ! [X0] : or(a,X0) = or(a,and(t1,X0))
| ~ spl0_29
| ~ spl0_64
| ~ spl0_611 ),
inference(forward_demodulation,[],[f17764,f470]) ).
fof(f18492,plain,
( ! [X2,X0,X1] : and(X0,or(X0,X2)) = or(X0,and(X1,and(X0,X2)))
| ~ spl0_29
| ~ spl0_33
| ~ spl0_66 ),
inference(forward_demodulation,[],[f17742,f191]) ).
fof(f18503,definition,
( spl0_904
<=> ! [X2,X0,X1] : or(X1,and(X0,X2)) = and(or(X0,X1),or(X1,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_904])],[avatar_definition]) ).
fof(f18504,plain,
( ! [X2,X0,X1] : or(X1,and(X0,X2)) = and(or(X0,X1),or(X1,X2))
| ~ spl0_904 ),
inference(avatar_component_clause,[],[f18503]) ).
fof(f18505,plain,
( spl0_904
| ~ spl0_29
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f17735,f202,f174,f18503]) ).
fof(f18517,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = or(X0,and(X2,X1))
| ~ spl0_29
| ~ spl0_98
| ~ spl0_118 ),
inference(forward_demodulation,[],[f18124,f761]) ).
fof(f18570,definition,
( spl0_918
<=> ! [X0] : or(t7,X0) = or(t7,and(X0,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_918])],[avatar_definition]) ).
fof(f18571,plain,
( ! [X0] : or(t7,X0) = or(t7,and(X0,sum))
| ~ spl0_918 ),
inference(avatar_component_clause,[],[f18570]) ).
fof(f18572,plain,
( spl0_918
| ~ spl0_29
| ~ spl0_31
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f18152,f9309,f182,f174,f18570]) ).
fof(f18601,definition,
( spl0_925
<=> ! [X0] : or(t6,X0) = or(t6,and(X0,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_925])],[avatar_definition]) ).
fof(f18602,plain,
( ! [X0] : or(t6,X0) = or(t6,and(X0,sum))
| ~ spl0_925 ),
inference(avatar_component_clause,[],[f18601]) ).
fof(f18603,plain,
( spl0_925
| ~ spl0_29
| ~ spl0_31
| ~ spl0_555 ),
inference(avatar_split_clause,[],[f18162,f9198,f182,f174,f18601]) ).
fof(f18729,definition,
( spl0_955
<=> ! [X0] : or(t4,X0) = or(t4,and(X0,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_955])],[avatar_definition]) ).
fof(f18730,plain,
( ! [X0] : or(t4,X0) = or(t4,and(X0,t3))
| ~ spl0_955 ),
inference(avatar_component_clause,[],[f18729]) ).
fof(f18731,plain,
( spl0_955
| ~ spl0_29
| ~ spl0_31
| ~ spl0_587 ),
inference(avatar_split_clause,[],[f18200,f9642,f182,f174,f18729]) ).
fof(f18733,definition,
( spl0_956
<=> ! [X0] : or(t4,X0) = or(t4,and(X0,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_956])],[avatar_definition]) ).
fof(f18734,plain,
( ! [X0] : or(t4,X0) = or(t4,and(X0,t2))
| ~ spl0_956 ),
inference(avatar_component_clause,[],[f18733]) ).
fof(f18735,plain,
( spl0_956
| ~ spl0_29
| ~ spl0_31
| ~ spl0_595 ),
inference(avatar_split_clause,[],[f18201,f9753,f182,f174,f18733]) ).
fof(f18867,definition,
( spl0_987
<=> ! [X0] : or(t1,X0) = or(t1,and(X0,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_987])],[avatar_definition]) ).
fof(f18868,plain,
( ! [X0] : or(t1,X0) = or(t1,and(X0,t2))
| ~ spl0_987 ),
inference(avatar_component_clause,[],[f18867]) ).
fof(f18869,plain,
( spl0_987
| ~ spl0_29
| ~ spl0_31
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f18242,f5650,f182,f174,f18867]) ).
fof(f18934,definition,
( spl0_1002
<=> ! [X0] : or(cin,X0) = or(cin,and(X0,t5)) ),
introduced(definition,[new_symbols(definition,[spl0_1002])],[avatar_definition]) ).
fof(f18935,plain,
( ! [X0] : or(cin,X0) = or(cin,and(X0,t5))
| ~ spl0_1002 ),
inference(avatar_component_clause,[],[f18934]) ).
fof(f18936,plain,
( spl0_1002
| ~ spl0_29
| ~ spl0_31
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f18264,f9420,f182,f174,f18934]) ).
fof(f18976,definition,
( spl0_1012
<=> ! [X0] : or(b,X0) = or(b,and(X0,t1)) ),
introduced(definition,[new_symbols(definition,[spl0_1012])],[avatar_definition]) ).
fof(f18977,plain,
( ! [X0] : or(b,X0) = or(b,and(X0,t1))
| ~ spl0_1012 ),
inference(avatar_component_clause,[],[f18976]) ).
fof(f18978,plain,
( spl0_1012
| ~ spl0_29
| ~ spl0_31
| ~ spl0_603 ),
inference(avatar_split_clause,[],[f18276,f9864,f182,f174,f18976]) ).
fof(f19160,definition,
( spl0_1055
<=> ! [X0] : t7 = or(t7,and(not(cin),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1055])],[avatar_definition]) ).
fof(f19161,plain,
( ! [X0] : t7 = or(t7,and(not(cin),X0))
| ~ spl0_1055 ),
inference(avatar_component_clause,[],[f19160]) ).
fof(f19162,plain,
( spl0_1055
| ~ spl0_18
| ~ spl0_29
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f18341,f2316,f174,f128,f19160]) ).
fof(f19188,definition,
( spl0_1062
<=> ! [X0] : or(t6,X0) = or(t6,and(t7,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1062])],[avatar_definition]) ).
fof(f19189,plain,
( ! [X0] : or(t6,X0) = or(t6,and(t7,X0))
| ~ spl0_1062 ),
inference(avatar_component_clause,[],[f19188]) ).
fof(f19190,plain,
( spl0_1062
| ~ spl0_29
| ~ spl0_64
| ~ spl0_627 ),
inference(avatar_split_clause,[],[f18348,f10942,f469,f174,f19188]) ).
fof(f19196,definition,
( spl0_1064
<=> ! [X0] : t6 = or(t6,and(not(t5),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1064])],[avatar_definition]) ).
fof(f19197,plain,
( ! [X0] : t6 = or(t6,and(not(t5),X0))
| ~ spl0_1064 ),
inference(avatar_component_clause,[],[f19196]) ).
fof(f19198,plain,
( spl0_1064
| ~ spl0_18
| ~ spl0_29
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f18350,f2256,f174,f128,f19196]) ).
fof(f19200,definition,
( spl0_1065
<=> ! [X0] : t6 = or(t6,and(not(t4),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1065])],[avatar_definition]) ).
fof(f19201,plain,
( ! [X0] : t6 = or(t6,and(not(t4),X0))
| ~ spl0_1065 ),
inference(avatar_component_clause,[],[f19200]) ).
fof(f19202,plain,
( spl0_1065
| ~ spl0_18
| ~ spl0_29
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f18351,f2271,f174,f128,f19200]) ).
fof(f19424,definition,
( spl0_1121
<=> ! [X0] : t3 = or(t3,and(not(b),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1121])],[avatar_definition]) ).
fof(f19425,plain,
( ! [X0] : t3 = or(t3,and(not(b),X0))
| ~ spl0_1121 ),
inference(avatar_component_clause,[],[f19424]) ).
fof(f19426,plain,
( spl0_1121
| ~ spl0_18
| ~ spl0_29
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f18407,f2321,f174,f128,f19424]) ).
fof(f19500,definition,
( spl0_1140
<=> ! [X0] : or(t1,X0) = or(t1,and(t3,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1140])],[avatar_definition]) ).
fof(f19501,plain,
( ! [X0] : or(t1,X0) = or(t1,and(t3,X0))
| ~ spl0_1140 ),
inference(avatar_component_clause,[],[f19500]) ).
fof(f19502,plain,
( spl0_1140
| ~ spl0_29
| ~ spl0_64
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f18426,f5645,f469,f174,f19500]) ).
fof(f19585,definition,
( spl0_1161
<=> ! [X0] : or(cin,X0) = or(cin,and(t7,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1161])],[avatar_definition]) ).
fof(f19586,plain,
( ! [X0] : or(cin,X0) = or(cin,and(t7,X0))
| ~ spl0_1161 ),
inference(avatar_component_clause,[],[f19585]) ).
fof(f19587,plain,
( spl0_1161
| ~ spl0_29
| ~ spl0_64
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f18448,f5575,f469,f174,f19585]) ).
fof(f19589,definition,
( spl0_1162
<=> ! [X0] : or(cin,X0) = or(cin,and(t5,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1162])],[avatar_definition]) ).
fof(f19590,plain,
( ! [X0] : or(cin,X0) = or(cin,and(t5,X0))
| ~ spl0_1162 ),
inference(avatar_component_clause,[],[f19589]) ).
fof(f19591,plain,
( spl0_1162
| ~ spl0_29
| ~ spl0_64
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f18449,f9420,f469,f174,f19589]) ).
fof(f19637,definition,
( spl0_1174
<=> ! [X0] : or(b,X0) = or(b,and(t1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1174])],[avatar_definition]) ).
fof(f19638,plain,
( ! [X0] : or(b,X0) = or(b,and(t1,X0))
| ~ spl0_1174 ),
inference(avatar_component_clause,[],[f19637]) ).
fof(f19639,plain,
( spl0_1174
| ~ spl0_29
| ~ spl0_64
| ~ spl0_603 ),
inference(avatar_split_clause,[],[f18461,f9864,f469,f174,f19637]) ).
fof(f19673,definition,
( spl0_1183
<=> ! [X0] : or(a,X0) = or(a,and(t1,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1183])],[avatar_definition]) ).
fof(f19674,plain,
( ! [X0] : or(a,X0) = or(a,and(t1,X0))
| ~ spl0_1183 ),
inference(avatar_component_clause,[],[f19673]) ).
fof(f19675,plain,
( spl0_1183
| ~ spl0_29
| ~ spl0_64
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f18470,f9975,f469,f174,f19673]) ).
fof(f19737,plain,
( ! [X2,X0,X1] : or(X0,and(X1,and(X0,X2))) = X0
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_66 ),
inference(forward_demodulation,[],[f18492,f129]) ).
fof(f19761,definition,
( spl0_1203
<=> ! [X2,X0,X1] : or(X0,and(X1,X2)) = or(X0,and(X2,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_1203])],[avatar_definition]) ).
fof(f19762,plain,
( ! [X2,X0,X1] : or(X0,and(X1,X2)) = or(X0,and(X2,X1))
| ~ spl0_1203 ),
inference(avatar_component_clause,[],[f19761]) ).
fof(f19763,plain,
( spl0_1203
| ~ spl0_29
| ~ spl0_98
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f18517,f1259,f760,f174,f19761]) ).
fof(f19929,definition,
( spl0_1244
<=> ! [X2,X0,X1] : or(X0,and(X1,and(X0,X2))) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_1244])],[avatar_definition]) ).
fof(f19930,plain,
( ! [X2,X0,X1] : or(X0,and(X1,and(X0,X2))) = X0
| ~ spl0_1244 ),
inference(avatar_component_clause,[],[f19929]) ).
fof(f19939,plain,
( spl0_1244
| ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f19737,f477,f190,f174,f128,f19929]) ).
fof(f24402,plain,
( ! [X2,X0,X1] : and(X1,or(and(X0,X1),X2)) = or(and(X0,X1),and(X1,X2))
| ~ spl0_30
| ~ spl0_118 ),
inference(superposition,[],[f179,f1260]) ).
fof(f24506,plain,
( ! [X2,X0,X1] : and(X0,or(X2,and(X1,X0))) = or(and(X0,X2),and(X0,X1))
| ~ spl0_30
| ~ spl0_98 ),
inference(superposition,[],[f179,f761]) ).
fof(f24510,plain,
( ! [X2,X0,X1] : or(and(X0,X1),ll0) = and(X0,or(X1,and(not(X0),X2)))
| ~ spl0_30
| ~ spl0_443 ),
inference(superposition,[],[f179,f7187]) ).
fof(f24513,plain,
( ! [X0,X1] : or(and(X0,X1),ll0) = and(X0,or(X1,not(X0)))
| ~ spl0_27
| ~ spl0_30 ),
inference(superposition,[],[f179,f167]) ).
fof(f24615,plain,
( ! [X2,X0,X1] : and(X0,X2) = and(and(X0,X2),and(X0,or(X1,X2)))
| ~ spl0_30
| ~ spl0_69 ),
inference(superposition,[],[f523,f179]) ).
fof(f24618,plain,
( ! [X2,X0,X1] : and(X0,or(X1,X2)) = or(and(X0,X2),and(X0,or(X1,X2)))
| ~ spl0_30
| ~ spl0_116 ),
inference(superposition,[],[f1190,f179]) ).
fof(f24632,plain,
( ! [X2,X0,X1] : and(X0,or(X1,X2)) = and(X0,or(X2,or(X1,X2)))
| ~ spl0_30
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24618,f179]) ).
fof(f24635,plain,
( ! [X2,X0,X1] : and(X0,X2) = and(X0,and(X2,and(X0,or(X1,X2))))
| ~ spl0_30
| ~ spl0_33
| ~ spl0_69 ),
inference(forward_demodulation,[],[f24615,f191]) ).
fof(f24736,plain,
( ! [X0,X1] : and(X0,X1) = and(X0,or(X1,not(X0)))
| ~ spl0_27
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_demodulation,[],[f24513,f187]) ).
fof(f24739,plain,
( ! [X2,X0,X1] : and(X0,X1) = and(X0,or(X1,and(not(X0),X2)))
| ~ spl0_30
| ~ spl0_32
| ~ spl0_443 ),
inference(forward_demodulation,[],[f24510,f187]) ).
fof(f24743,plain,
( ! [X2,X0,X1] : and(X0,or(X2,X1)) = and(X0,or(X2,and(X1,X0)))
| ~ spl0_30
| ~ spl0_98 ),
inference(forward_demodulation,[],[f24506,f179]) ).
fof(f24988,definition,
( spl0_1579
<=> ! [X2,X0,X1] : and(X1,or(and(X0,X1),X2)) = or(and(X0,X1),and(X1,X2)) ),
introduced(definition,[new_symbols(definition,[spl0_1579])],[avatar_definition]) ).
fof(f24989,plain,
( ! [X2,X0,X1] : and(X1,or(and(X0,X1),X2)) = or(and(X0,X1),and(X1,X2))
| ~ spl0_1579 ),
inference(avatar_component_clause,[],[f24988]) ).
fof(f24990,plain,
( spl0_1579
| ~ spl0_30
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f24402,f1259,f178,f24988]) ).
fof(f25006,plain,
( ! [X2,X0,X1] : and(X0,or(X1,X2)) = and(X0,or(X2,X1))
| ~ spl0_30
| ~ spl0_79
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24632,f605]) ).
fof(f25008,plain,
( ! [X2,X0,X1] : and(X0,X2) = and(X2,and(X0,or(X1,X2)))
| ~ spl0_30
| ~ spl0_33
| ~ spl0_69
| ~ spl0_444 ),
inference(forward_demodulation,[],[f24635,f7193]) ).
fof(f25353,definition,
( spl0_1667
<=> ! [X0,X1] : and(X0,X1) = and(X0,or(X1,not(X0))) ),
introduced(definition,[new_symbols(definition,[spl0_1667])],[avatar_definition]) ).
fof(f25354,plain,
( ! [X0,X1] : and(X0,X1) = and(X0,or(X1,not(X0)))
| ~ spl0_1667 ),
inference(avatar_component_clause,[],[f25353]) ).
fof(f25355,plain,
( spl0_1667
| ~ spl0_27
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f24736,f186,f178,f166,f25353]) ).
fof(f25358,definition,
( spl0_1668
<=> ! [X2,X0,X1] : and(X0,X1) = and(X0,or(X1,and(not(X0),X2))) ),
introduced(definition,[new_symbols(definition,[spl0_1668])],[avatar_definition]) ).
fof(f25359,plain,
( ! [X2,X0,X1] : and(X0,X1) = and(X0,or(X1,and(not(X0),X2)))
| ~ spl0_1668 ),
inference(avatar_component_clause,[],[f25358]) ).
fof(f25360,plain,
( spl0_1668
| ~ spl0_30
| ~ spl0_32
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f24739,f7186,f186,f178,f25358]) ).
fof(f25374,definition,
( spl0_1672
<=> ! [X2,X0,X1] : and(X0,or(X2,X1)) = and(X0,or(X2,and(X1,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_1672])],[avatar_definition]) ).
fof(f25375,plain,
( ! [X2,X0,X1] : and(X0,or(X2,X1)) = and(X0,or(X2,and(X1,X0)))
| ~ spl0_1672 ),
inference(avatar_component_clause,[],[f25374]) ).
fof(f25376,plain,
( spl0_1672
| ~ spl0_30
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f24743,f760,f178,f25374]) ).
fof(f25562,definition,
( spl0_1716
<=> ! [X2,X0,X1] : and(X0,or(X1,X2)) = and(X0,or(X2,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_1716])],[avatar_definition]) ).
fof(f25563,plain,
( ! [X2,X0,X1] : and(X0,or(X1,X2)) = and(X0,or(X2,X1))
| ~ spl0_1716 ),
inference(avatar_component_clause,[],[f25562]) ).
fof(f25564,plain,
( spl0_1716
| ~ spl0_30
| ~ spl0_79
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f25006,f1189,f604,f178,f25562]) ).
fof(f25566,definition,
( spl0_1717
<=> ! [X2,X0,X1] : and(X0,X2) = and(X2,and(X0,or(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_1717])],[avatar_definition]) ).
fof(f25567,plain,
( ! [X2,X0,X1] : and(X0,X2) = and(X2,and(X0,or(X1,X2)))
| ~ spl0_1717 ),
inference(avatar_component_clause,[],[f25566]) ).
fof(f25568,plain,
( spl0_1717
| ~ spl0_30
| ~ spl0_33
| ~ spl0_69
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f25008,f7192,f522,f190,f178,f25566]) ).
fof(f26698,plain,
( ! [X0] : t7 = or(t7,not(or(cin,X0)))
| ~ spl0_17
| ~ spl0_1055 ),
inference(superposition,[],[f19161,f125]) ).
fof(f26744,definition,
( spl0_1802
<=> ! [X0] : t7 = or(t7,not(or(cin,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_1802])],[avatar_definition]) ).
fof(f26745,plain,
( ! [X0] : t7 = or(t7,not(or(cin,X0)))
| ~ spl0_1802 ),
inference(avatar_component_clause,[],[f26744]) ).
fof(f26746,plain,
( spl0_1802
| ~ spl0_17
| ~ spl0_1055 ),
inference(avatar_split_clause,[],[f26698,f19160,f124,f26744]) ).
fof(f26792,plain,
( ! [X0] : and(not(t5),X0) = and(and(not(t5),X0),t6)
| ~ spl0_69
| ~ spl0_1064 ),
inference(superposition,[],[f523,f19197]) ).
fof(f26801,plain,
( ! [X0] : and(not(t5),X0) = and(not(t5),and(X0,t6))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_1064 ),
inference(forward_demodulation,[],[f26792,f191]) ).
fof(f26817,plain,
( ! [X0] : and(not(t5),X0) = and(t6,and(X0,not(t5)))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_1064 ),
inference(forward_demodulation,[],[f26801,f4316]) ).
fof(f26822,definition,
( spl0_1809
<=> ! [X0] : and(not(t5),X0) = and(t6,and(X0,not(t5))) ),
introduced(definition,[new_symbols(definition,[spl0_1809])],[avatar_definition]) ).
fof(f26823,plain,
( ! [X0] : and(not(t5),X0) = and(t6,and(X0,not(t5)))
| ~ spl0_1809 ),
inference(avatar_component_clause,[],[f26822]) ).
fof(f26824,plain,
( spl0_1809
| ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_1064 ),
inference(avatar_split_clause,[],[f26817,f19196,f4315,f522,f190,f26822]) ).
fof(f26831,plain,
( ! [X0] : t6 = or(t6,not(or(X0,t4)))
| ~ spl0_145
| ~ spl0_1065 ),
inference(superposition,[],[f19201,f1712]) ).
fof(f26832,plain,
( ! [X0] : t6 = or(t6,not(or(t4,X0)))
| ~ spl0_17
| ~ spl0_1065 ),
inference(superposition,[],[f19201,f125]) ).
fof(f26874,definition,
( spl0_1812
<=> ! [X0] : t6 = or(t6,not(or(t4,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_1812])],[avatar_definition]) ).
fof(f26875,plain,
( ! [X0] : t6 = or(t6,not(or(t4,X0)))
| ~ spl0_1812 ),
inference(avatar_component_clause,[],[f26874]) ).
fof(f26876,plain,
( spl0_1812
| ~ spl0_17
| ~ spl0_1065 ),
inference(avatar_split_clause,[],[f26832,f19200,f124,f26874]) ).
fof(f26878,definition,
( spl0_1813
<=> ! [X0] : t6 = or(t6,not(or(X0,t4))) ),
introduced(definition,[new_symbols(definition,[spl0_1813])],[avatar_definition]) ).
fof(f26879,plain,
( ! [X0] : t6 = or(t6,not(or(X0,t4)))
| ~ spl0_1813 ),
inference(avatar_component_clause,[],[f26878]) ).
fof(f26880,plain,
( spl0_1813
| ~ spl0_145
| ~ spl0_1065 ),
inference(avatar_split_clause,[],[f26831,f19200,f1711,f26878]) ).
fof(f27223,plain,
( ! [X0] : t3 = or(t3,not(or(b,X0)))
| ~ spl0_17
| ~ spl0_1121 ),
inference(superposition,[],[f19425,f125]) ).
fof(f27267,definition,
( spl0_1842
<=> ! [X0] : t3 = or(t3,not(or(b,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_1842])],[avatar_definition]) ).
fof(f27268,plain,
( ! [X0] : t3 = or(t3,not(or(b,X0)))
| ~ spl0_1842 ),
inference(avatar_component_clause,[],[f27267]) ).
fof(f27269,plain,
( spl0_1842
| ~ spl0_17
| ~ spl0_1121 ),
inference(avatar_split_clause,[],[f27223,f19424,f124,f27267]) ).
fof(f29515,plain,
( ! [X0] : not(t7) = and(not(t7),or(cin,X0))
| ~ spl0_146
| ~ spl0_1802 ),
inference(superposition,[],[f1719,f26745]) ).
fof(f29537,definition,
( spl0_1958
<=> ! [X0] : not(t7) = and(not(t7),or(cin,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1958])],[avatar_definition]) ).
fof(f29538,plain,
( ! [X0] : not(t7) = and(not(t7),or(cin,X0))
| ~ spl0_1958 ),
inference(avatar_component_clause,[],[f29537]) ).
fof(f29539,plain,
( spl0_1958
| ~ spl0_146
| ~ spl0_1802 ),
inference(avatar_split_clause,[],[f29515,f26744,f1718,f29537]) ).
fof(f29917,plain,
( ! [X0] : not(t6) = and(not(t6),or(t4,X0))
| ~ spl0_146
| ~ spl0_1812 ),
inference(superposition,[],[f1719,f26875]) ).
fof(f29939,definition,
( spl0_1980
<=> ! [X0] : not(t6) = and(not(t6),or(t4,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1980])],[avatar_definition]) ).
fof(f29940,plain,
( ! [X0] : not(t6) = and(not(t6),or(t4,X0))
| ~ spl0_1980 ),
inference(avatar_component_clause,[],[f29939]) ).
fof(f29941,plain,
( spl0_1980
| ~ spl0_146
| ~ spl0_1812 ),
inference(avatar_split_clause,[],[f29917,f26874,f1718,f29939]) ).
fof(f30514,plain,
( ! [X0,X1] : or(and(not(not(X1)),X0),and(not(X1),not(X0))) = or(not(or(X0,X1)),and(X0,not(not(X1))))
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f117,f125]) ).
fof(f30739,plain,
( ! [X0,X1] : or(and(not(not(X1)),X0),and(not(X1),not(X0))) = not(and(or(X0,X1),or(not(X0),not(X1))))
| ~ spl0_15
| ~ spl0_17
| ~ spl0_183 ),
inference(forward_demodulation,[],[f30514,f2187]) ).
fof(f30937,plain,
( ! [X0,X1] : or(and(not(not(X1)),X0),and(not(X1),not(X0))) = not(and(or(X0,X1),not(and(X0,X1))))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_183 ),
inference(forward_demodulation,[],[f30739,f121]) ).
fof(f31124,plain,
( ! [X0,X1] : or(and(not(not(X1)),X0),and(not(X1),not(X0))) = or(not(or(X0,X1)),and(X0,X1))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_120
| ~ spl0_183 ),
inference(forward_demodulation,[],[f30937,f1462]) ).
fof(f31281,plain,
( ! [X0,X1] : or(and(not(not(X1)),X0),and(not(X1),not(X0))) = or(and(X1,X0),not(or(X0,X1)))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292 ),
inference(forward_demodulation,[],[f31124,f3893]) ).
fof(f31415,plain,
( ! [X0,X1] : or(and(X1,X0),not(or(X0,X1))) = or(and(not(X1),not(X0)),and(not(not(X1)),X0))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292 ),
inference(forward_demodulation,[],[f31281,f203]) ).
fof(f31541,plain,
( ! [X0,X1] : or(and(not(X1),not(X0)),and(X1,X0)) = or(and(X1,X0),not(or(X0,X1)))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292 ),
inference(forward_demodulation,[],[f31415,f155]) ).
fof(f31623,plain,
( ! [X0,X1] : or(and(X1,X0),and(not(X1),not(X0))) = or(and(X1,X0),not(or(X0,X1)))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292 ),
inference(forward_demodulation,[],[f31541,f203]) ).
fof(f31681,plain,
( ! [X0,X1] : or(and(X1,X0),not(or(X1,X0))) = or(and(X1,X0),not(or(X0,X1)))
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292 ),
inference(forward_demodulation,[],[f31623,f125]) ).
fof(f31732,definition,
( spl0_2033
<=> ! [X0,X1] : or(and(X1,X0),not(or(X1,X0))) = or(and(X1,X0),not(or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_2033])],[avatar_definition]) ).
fof(f31733,plain,
( ! [X0,X1] : or(and(X1,X0),not(or(X1,X0))) = or(and(X1,X0),not(or(X0,X1)))
| ~ spl0_2033 ),
inference(avatar_component_clause,[],[f31732]) ).
fof(f31734,plain,
( spl0_2033
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f31681,f3892,f2186,f1461,f202,f154,f124,f120,f116,f31732]) ).
fof(f35859,plain,
( ll1 = or(t3,t2)
| ~ spl0_10
| ~ spl0_630 ),
inference(superposition,[],[f11014,f94]) ).
fof(f35902,plain,
( ll1 = or(t2,t3)
| ~ spl0_10
| ~ spl0_36
| ~ spl0_630 ),
inference(forward_demodulation,[],[f35859,f203]) ).
fof(f35938,definition,
( spl0_2145
<=> ll1 = or(t2,t3) ),
introduced(definition,[new_symbols(definition,[spl0_2145])],[avatar_definition]) ).
fof(f35940,plain,
( ll1 = or(t2,t3)
| ~ spl0_2145 ),
inference(avatar_component_clause,[],[f35938]) ).
fof(f35941,plain,
( spl0_2145
| ~ spl0_10
| ~ spl0_36
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f35902,f11013,f202,f92,f35938]) ).
fof(f35965,plain,
( ! [X0] : and(or(t2,X0),ll1) = or(t2,and(X0,t3))
| ~ spl0_29
| ~ spl0_2145 ),
inference(superposition,[],[f175,f35940]) ).
fof(f35978,plain,
( ! [X0] : or(t2,X0) = or(t2,and(X0,t3))
| ~ spl0_29
| ~ spl0_31
| ~ spl0_2145 ),
inference(forward_demodulation,[],[f35965,f183]) ).
fof(f35994,definition,
( spl0_2147
<=> ! [X0] : or(t2,X0) = or(t2,and(X0,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_2147])],[avatar_definition]) ).
fof(f35995,plain,
( ! [X0] : or(t2,X0) = or(t2,and(X0,t3))
| ~ spl0_2147 ),
inference(avatar_component_clause,[],[f35994]) ).
fof(f35996,plain,
( spl0_2147
| ~ spl0_29
| ~ spl0_31
| ~ spl0_2145 ),
inference(avatar_split_clause,[],[f35978,f35938,f182,f174,f35994]) ).
fof(f38606,plain,
( ! [X2,X3,X0,X1] : and(X1,and(X0,X2)) = and(and(X1,and(X0,X2)),or(X3,X0))
| ~ spl0_702
| ~ spl0_1244 ),
inference(superposition,[],[f12584,f19930]) ).
fof(f39647,plain,
( ! [X2,X3,X0,X1] : and(X1,and(X0,X2)) = and(X1,and(and(X0,X2),or(X3,X0)))
| ~ spl0_33
| ~ spl0_702
| ~ spl0_1244 ),
inference(forward_demodulation,[],[f38606,f191]) ).
fof(f39817,plain,
( ! [X2,X3,X0,X1] : and(X1,and(X0,X2)) = and(X1,and(X0,and(X2,or(X3,X0))))
| ~ spl0_33
| ~ spl0_702
| ~ spl0_1244 ),
inference(forward_demodulation,[],[f39647,f191]) ).
fof(f39834,plain,
( ! [X2,X0,X1] : and(X1,and(X0,X2)) = and(X1,and(X2,X0))
| ~ spl0_33
| ~ spl0_702
| ~ spl0_1244
| ~ spl0_1717 ),
inference(forward_demodulation,[],[f39817,f25567]) ).
fof(f39840,definition,
( spl0_2335
<=> ! [X2,X0,X1] : and(X1,and(X0,X2)) = and(X1,and(X2,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_2335])],[avatar_definition]) ).
fof(f39841,plain,
( ! [X2,X0,X1] : and(X1,and(X0,X2)) = and(X1,and(X2,X0))
| ~ spl0_2335 ),
inference(avatar_component_clause,[],[f39840]) ).
fof(f39842,plain,
( spl0_2335
| ~ spl0_33
| ~ spl0_702
| ~ spl0_1244
| ~ spl0_1717 ),
inference(avatar_split_clause,[],[f39834,f25566,f19929,f12583,f190,f39840]) ).
fof(f40800,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(not(X1),or(and(not(not(X0)),X0),not(X0))),and(X1,not(or(and(not(not(X0)),X0),not(X0)))))
| ~ spl0_14
| ~ spl0_25 ),
inference(superposition,[],[f113,f159]) ).
fof(f41104,plain,
( ! [X0,X1] : or(and(not(X0),or(and(not(X1),ll1),and(X1,ll0))),and(X0,not(or(and(not(X1),ll1),and(X1,ll0))))) = or(and(not(or(and(not(X0),X1),and(X0,not(X1)))),ll1),and(or(and(not(X0),X1),and(X0,not(X1))),ll0))
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f113,f146]) ).
fof(f41201,plain,
( ! [X0,X1] : or(and(not(X0),or(and(not(X1),ll1),and(X1,ll0))),and(X0,not(or(and(not(X1),ll1),and(X1,ll0))))) = or(and(not(or(and(not(X0),X1),and(X0,not(X1)))),ll1),and(ll0,or(and(not(X0),X1),and(X0,not(X1)))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f41104,f19762]) ).
fof(f41505,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(X1,not(or(and(not(not(X0)),X0),not(X0)))),and(not(X1),or(and(not(not(X0)),X0),not(X0))))
| ~ spl0_14
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_demodulation,[],[f40800,f203]) ).
fof(f41588,plain,
( ! [X0,X1] : or(and(not(X0),or(and(not(X1),ll1),and(X1,ll0))),and(X0,not(or(and(not(X1),ll1),and(X1,ll0))))) = or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(not(or(and(not(X0),X1),and(X0,not(X1)))),ll1))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f41201,f203]) ).
fof(f41892,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(X1,not(or(and(not(not(X0)),X0),not(X0)))),and(not(X1),or(not(X0),and(not(not(X0)),X0))))
| ~ spl0_14
| ~ spl0_25
| ~ spl0_36
| ~ spl0_262 ),
inference(forward_demodulation,[],[f41505,f3535]) ).
fof(f41975,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(not(X1),ll1),and(X1,ll0))),and(X0,not(or(and(not(X1),ll1),and(X1,ll0)))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f41588,f19762]) ).
fof(f42279,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(X1,not(or(and(not(not(X0)),X0),not(X0)))),and(not(X1),or(not(X0),and(X0,not(not(X0))))))
| ~ spl0_14
| ~ spl0_25
| ~ spl0_36
| ~ spl0_187
| ~ spl0_262 ),
inference(forward_demodulation,[],[f41892,f2235]) ).
fof(f42362,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,not(or(and(not(X1),ll1),and(X1,ll0)))),and(not(X0),or(and(not(X1),ll1),and(X1,ll0))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f41975,f203]) ).
fof(f42666,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(X1,not(or(and(not(not(X0)),X0),not(X0)))),and(not(X1),not(and(X0,or(not(X0),not(X0))))))
| ~ spl0_14
| ~ spl0_25
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187
| ~ spl0_262 ),
inference(forward_demodulation,[],[f42279,f2187]) ).
fof(f42749,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,not(or(and(not(X1),ll1),and(X1,ll0)))),and(not(X0),or(and(X1,ll0),and(not(X1),ll1))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_262
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f42362,f3535]) ).
fof(f43053,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(X1,not(or(and(not(not(X0)),X0),not(X0)))),not(or(X1,and(X0,or(not(X0),not(X0))))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187
| ~ spl0_262 ),
inference(forward_demodulation,[],[f42666,f125]) ).
fof(f43136,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,not(or(and(not(X1),ll1),and(X1,ll0)))),and(not(X0),or(and(X1,ll0),and(ll1,not(X1)))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_262
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f42749,f19762]) ).
fof(f43440,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(not(or(X1,and(X0,or(not(X0),not(X0))))),and(not(or(and(not(not(X0)),X0),not(X0))),X1))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f43053,f3893]) ).
fof(f43523,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,not(or(and(not(X1),ll1),and(X1,ll0)))),and(not(X0),or(and(X1,ll0),not(X1))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_262
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f43136,f470]) ).
fof(f43827,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = not(and(or(X1,and(X0,or(not(X0),not(X0)))),or(or(and(not(not(X0)),X0),not(X0)),not(X1))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187
| ~ spl0_235
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f43440,f3078]) ).
fof(f43910,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(X1,ll0),not(X1))),and(X0,not(or(and(not(X1),ll1),and(X1,ll0)))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_262
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f43523,f203]) ).
fof(f44214,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = not(and(or(X1,and(X0,or(not(X0),not(X0)))),or(and(not(not(X0)),X0),or(not(X0),not(X1)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187
| ~ spl0_235
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f43827,f195]) ).
fof(f44306,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(X1,ll0),not(X1))),and(X0,not(or(and(X1,ll0),and(not(X1),ll1)))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f43910,f3920]) ).
fof(f44616,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = not(and(or(X1,and(X0,or(not(X0),not(X0)))),or(not(X0),or(and(not(not(X0)),X0),not(X1)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f44214,f3167]) ).
fof(f44702,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(X1,ll0),not(X1))),and(X0,not(or(and(X1,ll0),and(ll1,not(X1))))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_148
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f44306,f1767]) ).
fof(f45002,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = not(and(or(X1,and(X0,or(not(X0),not(X0)))),not(and(X1,and(X0,not(and(not(not(X0)),X0)))))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f44616,f2195]) ).
fof(f45089,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(X1,ll0),not(X1))),and(X0,and(not(and(X1,ll0)),or(not(ll1),X1))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f44702,f2138]) ).
fof(f45389,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(not(or(X1,and(X0,or(not(X0),not(X0))))),and(X1,and(X0,not(and(not(not(X0)),X0)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f45002,f1462]) ).
fof(f45466,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(X1,ll0),not(X1))),and(X0,and(not(and(X1,ll0)),or(ll0,X1))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f45089,f146]) ).
fof(f45768,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(and(not(not(X0)),X0))),X1),not(or(X1,and(X0,or(not(X0),not(X0))))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292 ),
inference(forward_demodulation,[],[f45389,f3893]) ).
fof(f45855,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(and(X1,ll0),not(X1))),and(X0,and(or(ll0,X1),not(and(X1,ll0)))))
| ~ spl0_14
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f45466,f39841]) ).
fof(f46162,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(and(not(not(X0)),X0))),X1),not(or(X1,and(X0,not(X0)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f45768,f25354]) ).
fof(f46237,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(ll0,not(X1))),and(X0,and(or(ll0,X1),not(ll0))))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f45855,f137]) ).
fof(f46528,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(not(or(X1,and(X0,not(X0)))),and(X1,and(X0,not(and(not(not(X0)),X0)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f46162,f3893]) ).
fof(f46581,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(ll0,not(X1))),and(X0,and(not(ll0),or(ll0,X1))))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f46237,f39841]) ).
fof(f46900,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(not(or(X1,and(X0,not(X0)))),and(X1,and(X0,or(not(X0),not(X0)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f46528,f1477]) ).
fof(f46962,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),or(ll0,not(X1))),and(X0,and(not(ll0),X1)))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f46581,f519]) ).
fof(f47293,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(not(or(X1,and(X0,not(X0)))),and(X1,and(X0,not(X0))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f46900,f25354]) ).
fof(f47343,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,and(not(ll0),X1)),and(not(X0),or(ll0,not(X1))))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f46962,f203]) ).
fof(f47578,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(X0)),X1),not(or(X1,and(X0,not(X0)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f47293,f3893]) ).
fof(f47619,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,and(not(ll0),X1)),and(not(X0),not(X1)))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f47343,f519]) ).
fof(f47878,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(X0)),X1),and(not(X1),or(not(X0),X0)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f47578,f2138]) ).
fof(f47915,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),not(X1)),and(X0,and(not(ll0),X1)))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f47619,f203]) ).
fof(f48152,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(X0)),X1),and(not(X1),or(X0,not(X0))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f47878,f3535]) ).
fof(f48192,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(not(X0),not(X1)),and(X0,and(ll1,X1)))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f47915,f151]) ).
fof(f48405,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(X0)),X1),and(not(X1),ll1))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f48152,f171]) ).
fof(f48479,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,and(ll1,X1)),and(not(X0),not(X1)))
| ~ spl0_14
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f48192,f203]) ).
fof(f48733,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(and(X0,not(X0)),X1),and(ll1,not(X1)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f48405,f19762]) ).
fof(f48767,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(and(X0,and(ll1,X1)),not(or(X0,X1)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f48479,f125]) ).
fof(f49036,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(ll1,not(X1)),and(and(X0,not(X0)),X1))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f48733,f203]) ).
fof(f49056,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(not(or(X0,X1)),and(and(ll1,X1),X0))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f48767,f3893]) ).
fof(f49253,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(ll1,not(X1)),and(X0,and(not(X0),X1)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f49036,f191]) ).
fof(f49269,plain,
( ! [X0,X1] : or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1)))))) = or(not(or(X0,X1)),and(ll1,and(X1,X0)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f49056,f191]) ).
fof(f49493,plain,
( ! [X0,X1] : or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0))) = or(and(ll1,not(X1)),ll0)
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f49253,f7187]) ).
fof(f49521,plain,
( ! [X0,X1] : or(not(or(X0,X1)),and(X1,X0)) = or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),and(ll1,not(or(and(not(X0),X1),and(X0,not(X1))))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f49269,f470]) ).
fof(f49673,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(or(and(not(X1),not(X0)),and(X1,not(not(X0))))),X0),and(or(and(not(X1),not(X0)),and(X1,not(not(X0)))),not(X0)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f49493,f187]) ).
fof(f49691,plain,
( ! [X0,X1] : or(not(or(X0,X1)),and(X1,X0)) = or(and(ll0,or(and(not(X0),X1),and(X0,not(X1)))),not(or(and(not(X0),X1),and(X0,not(X1)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f49521,f470]) ).
fof(f49730,definition,
( spl0_2557
<=> ! [X0,X1] : or(and(X0,X1),not(or(X0,X1))) = and(or(X1,not(X0)),or(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[spl0_2557])],[avatar_definition]) ).
fof(f49731,plain,
( ! [X0,X1] : or(and(X0,X1),not(or(X0,X1))) = and(or(X1,not(X0)),or(X0,not(X1)))
| ~ spl0_2557 ),
inference(avatar_component_clause,[],[f49730]) ).
fof(f49834,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(X0),or(and(not(X1),not(X0)),and(X1,not(not(X0))))),and(X0,not(or(and(not(X1),not(X0)),and(X1,not(not(X0)))))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f49673,f117]) ).
fof(f49849,plain,
( ! [X0,X1] : or(not(or(X0,X1)),and(X1,X0)) = or(not(or(and(not(X0),X1),and(X0,not(X1)))),and(or(and(not(X0),X1),and(X0,not(X1))),ll0))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f49691,f3893]) ).
fof(f50008,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(or(and(not(X0),X1),and(X0,not(X1)))),not(X0)),and(or(and(not(X0),X1),and(X0,not(X1))),not(not(X0))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f49834,f113]) ).
fof(f50018,plain,
( ! [X0,X1] : or(not(or(X0,X1)),and(X1,X0)) = or(not(or(and(not(X0),X1),and(X0,not(X1)))),and(ll0,or(and(not(X0),X1),and(X0,not(X1)))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f49849,f2235]) ).
fof(f50182,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(not(X0)),or(and(not(X0),X1),and(X0,not(X1)))),and(not(X0),not(or(and(not(X0),X1),and(X0,not(X1))))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50008,f117]) ).
fof(f50188,plain,
( ! [X0,X1] : or(not(or(X0,X1)),and(X1,X0)) = or(not(or(and(not(X0),X1),and(X0,not(X1)))),ll0)
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f50018,f474]) ).
fof(f50311,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(X0),not(or(and(not(X0),X1),and(X0,not(X1))))),and(not(not(X0)),or(and(not(X0),X1),and(X0,not(X1)))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50182,f203]) ).
fof(f50317,plain,
( ! [X0,X1] : not(or(and(not(X0),X1),and(X0,not(X1)))) = or(not(or(X0,X1)),and(X1,X0))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f50188,f187]) ).
fof(f50428,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(X0),not(or(and(not(X0),X1),and(X0,not(X1))))),and(not(not(X0)),or(and(X0,not(X1)),and(not(X0),X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50311,f3535]) ).
fof(f50434,plain,
( ! [X0,X1] : not(or(and(not(X0),X1),and(X0,not(X1)))) = or(and(X0,X1),not(or(X0,X1)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f50317,f3893]) ).
fof(f50530,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(not(X0),not(or(and(not(X0),X1),and(X0,not(X1))))),and(X0,or(and(X0,not(X1)),and(not(X0),X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50428,f155]) ).
fof(f50539,plain,
( ! [X0,X1] : or(and(X0,X1),not(or(X0,X1))) = and(not(and(not(X0),X1)),or(not(X0),X1))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f50434,f2138]) ).
fof(f50624,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,or(and(X0,not(X1)),and(not(X0),X1))),and(not(X0),not(or(and(not(X0),X1),and(X0,not(X1))))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50530,f203]) ).
fof(f50632,plain,
( ! [X0,X1] : or(and(X0,X1),not(or(X0,X1))) = and(or(X1,not(X0)),not(and(not(X0),X1)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_311
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f50539,f4304]) ).
fof(f50710,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,or(and(X0,not(X1)),and(not(X0),X1))),not(or(X0,or(and(not(X0),X1),and(X0,not(X1))))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50624,f125]) ).
fof(f50717,plain,
( ! [X0,X1] : or(and(X0,X1),not(or(X0,X1))) = and(or(X1,not(X0)),or(X0,not(X1)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_121
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_311
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f50632,f1477]) ).
fof(f50797,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,or(and(X0,not(X1)),and(not(X0),X1))),not(or(X0,or(and(X0,not(X1)),and(not(X0),X1)))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50710,f1915]) ).
fof(f50800,plain,
( spl0_2557
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_121
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_311
| ~ spl0_1203
| ~ spl0_2335 ),
inference(avatar_split_clause,[],[f50717,f39840,f19761,f4303,f3919,f3892,f3534,f2234,f2137,f1766,f1476,f518,f473,f469,f202,f190,f186,f149,f144,f136,f124,f112,f49730]) ).
fof(f50890,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,or(and(X0,not(X1)),and(not(X0),X1))),not(or(X0,and(not(X0),X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50797,f12841]) ).
fof(f50915,definition,
( spl0_2593
<=> ! [X0,X1] : not(X1) = or(and(X0,not(X1)),and(not(X0),or(X0,not(X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_2593])],[avatar_definition]) ).
fof(f50916,plain,
( ! [X0,X1] : not(X1) = or(and(X0,not(X1)),and(not(X0),or(X0,not(X1))))
| ~ spl0_2593 ),
inference(avatar_component_clause,[],[f50915]) ).
fof(f50960,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(not(or(X0,and(not(X0),X1))),and(or(and(X0,not(X1)),and(not(X0),X1)),X0))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50890,f3893]) ).
fof(f51016,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(not(or(X0,and(not(X0),X1))),and(X0,or(and(X0,not(X1)),and(not(X0),X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667 ),
inference(forward_demodulation,[],[f50960,f2235]) ).
fof(f51058,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(not(or(X0,and(not(X0),X1))),and(X0,and(X0,not(X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(forward_demodulation,[],[f51016,f25359]) ).
fof(f51105,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(and(X0,not(X1)),X0),not(or(X0,and(not(X0),X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(forward_demodulation,[],[f51058,f3893]) ).
fof(f51133,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,and(X0,not(X1))),not(or(X0,and(not(X0),X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_242
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(forward_demodulation,[],[f51105,f3149]) ).
fof(f51161,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,and(X0,not(X1))),and(not(X0),or(X0,not(X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_237
| ~ spl0_242
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(forward_demodulation,[],[f51133,f3089]) ).
fof(f51176,plain,
( ! [X0,X1] : and(ll1,not(X1)) = or(and(X0,not(X1)),and(not(X0),or(X0,not(X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_108
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_237
| ~ spl0_242
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(forward_demodulation,[],[f51161,f985]) ).
fof(f51181,plain,
( ! [X0,X1] : not(X1) = or(and(X0,not(X1)),and(not(X0),or(X0,not(X1))))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_64
| ~ spl0_108
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_237
| ~ spl0_242
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(forward_demodulation,[],[f51176,f470]) ).
fof(f51185,plain,
( spl0_2593
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_64
| ~ spl0_108
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_237
| ~ spl0_242
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668 ),
inference(avatar_split_clause,[],[f51181,f25358,f25353,f19761,f12840,f7186,f3892,f3534,f3166,f3148,f3088,f3077,f2234,f2194,f2186,f2137,f1914,f1476,f1461,f984,f469,f202,f194,f190,f186,f170,f158,f154,f124,f116,f112,f50915]) ).
fof(f61399,plain,
( not(and(t6,not(t5))) = or(sum,not(not(t5)))
| ~ spl0_122
| ~ spl0_214 ),
inference(superposition,[],[f1505,f2398]) ).
fof(f61400,plain,
( or(sum,not(not(cin))) = not(and(t6,not(cin)))
| ~ spl0_122
| ~ spl0_223 ),
inference(superposition,[],[f1505,f2497]) ).
fof(f61533,plain,
( or(not(t6),cin) = or(sum,not(not(cin)))
| ~ spl0_120
| ~ spl0_122
| ~ spl0_223 ),
inference(forward_demodulation,[],[f61400,f1462]) ).
fof(f61534,plain,
( not(and(t6,not(t5))) = or(sum,t5)
| ~ spl0_24
| ~ spl0_122
| ~ spl0_214 ),
inference(forward_demodulation,[],[f61399,f155]) ).
fof(f61588,plain,
( or(sum,cin) = or(not(t6),cin)
| ~ spl0_24
| ~ spl0_120
| ~ spl0_122
| ~ spl0_223 ),
inference(forward_demodulation,[],[f61533,f155]) ).
fof(f61589,plain,
( not(and(t6,not(t5))) = or(t5,sum)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_122
| ~ spl0_214 ),
inference(forward_demodulation,[],[f61534,f203]) ).
fof(f61627,plain,
( or(sum,cin) = or(cin,not(t6))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_122
| ~ spl0_223 ),
inference(forward_demodulation,[],[f61588,f203]) ).
fof(f61628,plain,
( or(not(t6),t5) = or(t5,sum)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_122
| ~ spl0_214 ),
inference(forward_demodulation,[],[f61589,f1462]) ).
fof(f61651,plain,
( or(cin,sum) = or(cin,not(t6))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_122
| ~ spl0_223 ),
inference(forward_demodulation,[],[f61627,f203]) ).
fof(f61652,plain,
( or(t5,not(t6)) = or(t5,sum)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_122
| ~ spl0_214 ),
inference(forward_demodulation,[],[f61628,f203]) ).
fof(f61672,definition,
( spl0_2985
<=> or(cin,sum) = or(cin,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_2985])],[avatar_definition]) ).
fof(f61674,plain,
( or(cin,sum) = or(cin,not(t6))
| ~ spl0_2985 ),
inference(avatar_component_clause,[],[f61672]) ).
fof(f61675,plain,
( spl0_2985
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_122
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f61651,f2495,f1504,f1461,f202,f154,f61672]) ).
fof(f61676,plain,
( t5 = or(t5,sum)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_56
| ~ spl0_120
| ~ spl0_122
| ~ spl0_214 ),
inference(forward_demodulation,[],[f61652,f403]) ).
fof(f61685,definition,
( spl0_2986
<=> t5 = or(t5,sum) ),
introduced(definition,[new_symbols(definition,[spl0_2986])],[avatar_definition]) ).
fof(f61687,plain,
( t5 = or(t5,sum)
| ~ spl0_2986 ),
inference(avatar_component_clause,[],[f61685]) ).
fof(f61688,plain,
( spl0_2986
| ~ spl0_24
| ~ spl0_36
| ~ spl0_56
| ~ spl0_120
| ~ spl0_122
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f61676,f2396,f1504,f1461,f401,f202,f154,f61685]) ).
fof(f61778,plain,
( sum = and(sum,t5)
| ~ spl0_69
| ~ spl0_2986 ),
inference(superposition,[],[f523,f61687]) ).
fof(f61797,plain,
( sum = and(t5,sum)
| ~ spl0_35
| ~ spl0_69
| ~ spl0_2986 ),
inference(forward_demodulation,[],[f61778,f199]) ).
fof(f61814,definition,
( spl0_2994
<=> sum = and(t5,sum) ),
introduced(definition,[new_symbols(definition,[spl0_2994])],[avatar_definition]) ).
fof(f61816,plain,
( sum = and(t5,sum)
| ~ spl0_2994 ),
inference(avatar_component_clause,[],[f61814]) ).
fof(f61817,plain,
( spl0_2994
| ~ spl0_35
| ~ spl0_69
| ~ spl0_2986 ),
inference(avatar_split_clause,[],[f61797,f61685,f522,f198,f61814]) ).
fof(f61830,plain,
( ! [X0] : and(sum,X0) = and(t5,and(sum,X0))
| ~ spl0_33
| ~ spl0_2994 ),
inference(superposition,[],[f191,f61816]) ).
fof(f61850,definition,
( spl0_2998
<=> ! [X0] : and(sum,X0) = and(t5,and(sum,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_2998])],[avatar_definition]) ).
fof(f61851,plain,
( ! [X0] : and(sum,X0) = and(t5,and(sum,X0))
| ~ spl0_2998 ),
inference(avatar_component_clause,[],[f61850]) ).
fof(f61852,plain,
( spl0_2998
| ~ spl0_33
| ~ spl0_2994 ),
inference(avatar_split_clause,[],[f61830,f61814,f190,f61850]) ).
fof(f63807,plain,
( ! [X0] : and(X0,sum) = and(t5,and(X0,sum))
| ~ spl0_35
| ~ spl0_2998 ),
inference(superposition,[],[f61851,f199]) ).
fof(f63860,definition,
( spl0_3088
<=> ! [X0] : and(X0,sum) = and(t5,and(X0,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_3088])],[avatar_definition]) ).
fof(f63861,plain,
( ! [X0] : and(X0,sum) = and(t5,and(X0,sum))
| ~ spl0_3088 ),
inference(avatar_component_clause,[],[f63860]) ).
fof(f63863,plain,
( spl0_3088
| ~ spl0_35
| ~ spl0_2998 ),
inference(avatar_split_clause,[],[f63807,f61850,f198,f63860]) ).
fof(f67862,plain,
( or(t7,not(sum)) = not(and(cin,sum))
| ~ spl0_123
| ~ spl0_3088 ),
inference(superposition,[],[f1509,f63861]) ).
fof(f67948,plain,
( t7 = not(and(cin,sum))
| ~ spl0_70
| ~ spl0_123
| ~ spl0_3088 ),
inference(forward_demodulation,[],[f67862,f560]) ).
fof(f68041,definition,
( spl0_3265
<=> t7 = not(and(cin,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_3265])],[avatar_definition]) ).
fof(f68043,plain,
( t7 = not(and(cin,sum))
| ~ spl0_3265 ),
inference(avatar_component_clause,[],[f68041]) ).
fof(f68044,plain,
( spl0_3265
| ~ spl0_70
| ~ spl0_123
| ~ spl0_3088 ),
inference(avatar_split_clause,[],[f67948,f63860,f1508,f558,f68041]) ).
fof(f68326,plain,
( not(t7) = and(cin,sum)
| ~ spl0_24
| ~ spl0_3265 ),
inference(superposition,[],[f155,f68043]) ).
fof(f68397,definition,
( spl0_3289
<=> not(t7) = and(cin,sum) ),
introduced(definition,[new_symbols(definition,[spl0_3289])],[avatar_definition]) ).
fof(f68399,plain,
( not(t7) = and(cin,sum)
| ~ spl0_3289 ),
inference(avatar_component_clause,[],[f68397]) ).
fof(f68400,plain,
( spl0_3289
| ~ spl0_24
| ~ spl0_3265 ),
inference(avatar_split_clause,[],[f68326,f68041,f154,f68397]) ).
fof(f68929,plain,
( or(t1,ll0) = or(t1,and(t4,t2))
| ~ spl0_368
| ~ spl0_1140 ),
inference(superposition,[],[f19501,f6406]) ).
fof(f69013,plain,
( or(t1,ll0) = or(t1,t4)
| ~ spl0_368
| ~ spl0_987
| ~ spl0_1140 ),
inference(forward_demodulation,[],[f68929,f18868]) ).
fof(f69026,plain,
( t1 = or(t1,t4)
| ~ spl0_32
| ~ spl0_368
| ~ spl0_987
| ~ spl0_1140 ),
inference(forward_demodulation,[],[f69013,f187]) ).
fof(f69029,definition,
( spl0_3324
<=> t1 = or(t1,t4) ),
introduced(definition,[new_symbols(definition,[spl0_3324])],[avatar_definition]) ).
fof(f69031,plain,
( t1 = or(t1,t4)
| ~ spl0_3324 ),
inference(avatar_component_clause,[],[f69029]) ).
fof(f69032,plain,
( spl0_3324
| ~ spl0_32
| ~ spl0_368
| ~ spl0_987
| ~ spl0_1140 ),
inference(avatar_split_clause,[],[f69026,f19500,f18867,f6404,f186,f69029]) ).
fof(f69056,plain,
( t6 = or(t6,not(t1))
| ~ spl0_1813
| ~ spl0_3324 ),
inference(superposition,[],[f26879,f69031]) ).
fof(f69064,plain,
( t4 = and(t4,t1)
| ~ spl0_69
| ~ spl0_3324 ),
inference(superposition,[],[f523,f69031]) ).
fof(f69078,plain,
( t4 = and(t1,t4)
| ~ spl0_35
| ~ spl0_69
| ~ spl0_3324 ),
inference(forward_demodulation,[],[f69064,f199]) ).
fof(f69093,definition,
( spl0_3328
<=> t6 = or(t6,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_3328])],[avatar_definition]) ).
fof(f69095,plain,
( t6 = or(t6,not(t1))
| ~ spl0_3328 ),
inference(avatar_component_clause,[],[f69093]) ).
fof(f69096,plain,
( spl0_3328
| ~ spl0_1813
| ~ spl0_3324 ),
inference(avatar_split_clause,[],[f69056,f69029,f26878,f69093]) ).
fof(f69108,definition,
( spl0_3329
<=> t4 = and(t1,t4) ),
introduced(definition,[new_symbols(definition,[spl0_3329])],[avatar_definition]) ).
fof(f69110,plain,
( t4 = and(t1,t4)
| ~ spl0_3329 ),
inference(avatar_component_clause,[],[f69108]) ).
fof(f69111,plain,
( spl0_3329
| ~ spl0_35
| ~ spl0_69
| ~ spl0_3324 ),
inference(avatar_split_clause,[],[f69078,f69029,f522,f198,f69108]) ).
fof(f72113,plain,
( or(cin,ll0) = or(cin,and(t6,sum))
| ~ spl0_110
| ~ spl0_1161 ),
inference(superposition,[],[f19586,f1072]) ).
fof(f72178,plain,
( cin = or(cin,and(t6,sum))
| ~ spl0_32
| ~ spl0_110
| ~ spl0_1161 ),
inference(forward_demodulation,[],[f72113,f187]) ).
fof(f72197,definition,
( spl0_3470
<=> cin = or(cin,and(t6,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_3470])],[avatar_definition]) ).
fof(f72199,plain,
( cin = or(cin,and(t6,sum))
| ~ spl0_3470 ),
inference(avatar_component_clause,[],[f72197]) ).
fof(f72200,plain,
( spl0_3470
| ~ spl0_32
| ~ spl0_110
| ~ spl0_1161 ),
inference(avatar_split_clause,[],[f72178,f19585,f1070,f186,f72197]) ).
fof(f72209,plain,
( ! [X0] : and(or(cin,X0),cin) = or(cin,and(X0,and(t6,sum)))
| ~ spl0_29
| ~ spl0_3470 ),
inference(superposition,[],[f175,f72199]) ).
fof(f72228,plain,
( ! [X0] : and(cin,or(cin,X0)) = or(cin,and(X0,and(t6,sum)))
| ~ spl0_29
| ~ spl0_35
| ~ spl0_3470 ),
inference(forward_demodulation,[],[f72209,f199]) ).
fof(f72237,plain,
( ! [X0] : cin = or(cin,and(X0,and(t6,sum)))
| ~ spl0_18
| ~ spl0_29
| ~ spl0_35
| ~ spl0_3470 ),
inference(forward_demodulation,[],[f72228,f129]) ).
fof(f72245,definition,
( spl0_3474
<=> ! [X0] : cin = or(cin,and(X0,and(t6,sum))) ),
introduced(definition,[new_symbols(definition,[spl0_3474])],[avatar_definition]) ).
fof(f72246,plain,
( ! [X0] : cin = or(cin,and(X0,and(t6,sum)))
| ~ spl0_3474 ),
inference(avatar_component_clause,[],[f72245]) ).
fof(f72247,plain,
( spl0_3474
| ~ spl0_18
| ~ spl0_29
| ~ spl0_35
| ~ spl0_3470 ),
inference(avatar_split_clause,[],[f72237,f72197,f198,f174,f128,f72245]) ).
fof(f88313,plain,
( or(t6,cin) = or(t6,not(t7))
| ~ spl0_925
| ~ spl0_3289 ),
inference(superposition,[],[f18602,f68399]) ).
fof(f88360,plain,
( or(cin,t6) = or(t6,not(t7))
| ~ spl0_36
| ~ spl0_925
| ~ spl0_3289 ),
inference(forward_demodulation,[],[f88313,f203]) ).
fof(f88381,definition,
( spl0_3614
<=> or(cin,t6) = or(t6,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_3614])],[avatar_definition]) ).
fof(f88383,plain,
( or(cin,t6) = or(t6,not(t7))
| ~ spl0_3614 ),
inference(avatar_component_clause,[],[f88381]) ).
fof(f88384,plain,
( spl0_3614
| ~ spl0_36
| ~ spl0_925
| ~ spl0_3289 ),
inference(avatar_split_clause,[],[f88360,f68397,f18601,f202,f88381]) ).
fof(f88405,plain,
( not(or(cin,t6)) = and(t7,not(t6))
| ~ spl0_249
| ~ spl0_3614 ),
inference(superposition,[],[f3264,f88383]) ).
fof(f88429,definition,
( spl0_3616
<=> not(or(cin,t6)) = and(t7,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_3616])],[avatar_definition]) ).
fof(f88431,plain,
( not(or(cin,t6)) = and(t7,not(t6))
| ~ spl0_3616 ),
inference(avatar_component_clause,[],[f88429]) ).
fof(f88432,plain,
( spl0_3616
| ~ spl0_249
| ~ spl0_3614 ),
inference(avatar_split_clause,[],[f88405,f88381,f3263,f88429]) ).
fof(f89251,plain,
( or(cin,t1) = or(cin,not(carry))
| ~ spl0_37
| ~ spl0_1002 ),
inference(superposition,[],[f18935,f211]) ).
fof(f89288,definition,
( spl0_3665
<=> or(cin,t1) = or(cin,not(carry)) ),
introduced(definition,[new_symbols(definition,[spl0_3665])],[avatar_definition]) ).
fof(f89290,plain,
( or(cin,t1) = or(cin,not(carry))
| ~ spl0_3665 ),
inference(avatar_component_clause,[],[f89288]) ).
fof(f89291,plain,
( spl0_3665
| ~ spl0_37
| ~ spl0_1002 ),
inference(avatar_split_clause,[],[f89251,f18934,f209,f89288]) ).
fof(f89322,plain,
( not(or(cin,t1)) = and(carry,not(cin))
| ~ spl0_249
| ~ spl0_3665 ),
inference(superposition,[],[f3264,f89290]) ).
fof(f89345,definition,
( spl0_3670
<=> not(or(cin,t1)) = and(carry,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_3670])],[avatar_definition]) ).
fof(f89347,plain,
( not(or(cin,t1)) = and(carry,not(cin))
| ~ spl0_3670 ),
inference(avatar_component_clause,[],[f89345]) ).
fof(f89348,plain,
( spl0_3670
| ~ spl0_249
| ~ spl0_3665 ),
inference(avatar_split_clause,[],[f89322,f89288,f3263,f89345]) ).
fof(f89372,plain,
( or(b,a) = or(b,not(t2))
| ~ spl0_44
| ~ spl0_1012 ),
inference(superposition,[],[f18977,f256]) ).
fof(f89410,plain,
( or(a,b) = or(b,not(t2))
| ~ spl0_36
| ~ spl0_44
| ~ spl0_1012 ),
inference(forward_demodulation,[],[f89372,f203]) ).
fof(f89430,definition,
( spl0_3677
<=> or(a,b) = or(b,not(t2)) ),
introduced(definition,[new_symbols(definition,[spl0_3677])],[avatar_definition]) ).
fof(f89432,plain,
( or(a,b) = or(b,not(t2))
| ~ spl0_3677 ),
inference(avatar_component_clause,[],[f89430]) ).
fof(f89433,plain,
( spl0_3677
| ~ spl0_36
| ~ spl0_44
| ~ spl0_1012 ),
inference(avatar_split_clause,[],[f89410,f18976,f254,f202,f89430]) ).
fof(f89445,plain,
( and(t2,not(b)) = not(or(a,b))
| ~ spl0_249
| ~ spl0_3677 ),
inference(superposition,[],[f3264,f89432]) ).
fof(f89469,definition,
( spl0_3679
<=> and(t2,not(b)) = not(or(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_3679])],[avatar_definition]) ).
fof(f89471,plain,
( and(t2,not(b)) = not(or(a,b))
| ~ spl0_3679 ),
inference(avatar_component_clause,[],[f89469]) ).
fof(f89472,plain,
( spl0_3679
| ~ spl0_249
| ~ spl0_3677 ),
inference(avatar_split_clause,[],[f89445,f89430,f3263,f89469]) ).
fof(f89573,plain,
( or(t6,not(not(cin))) = not(and(t4,not(cin)))
| ~ spl0_125
| ~ spl0_222 ),
inference(superposition,[],[f1517,f2486]) ).
fof(f89578,plain,
( or(t6,not(not(carry))) = not(and(t4,not(carry)))
| ~ spl0_83
| ~ spl0_125 ),
inference(superposition,[],[f1517,f687]) ).
fof(f89580,plain,
( or(t6,not(sum)) = not(and(t4,sum))
| ~ spl0_125
| ~ spl0_2994 ),
inference(superposition,[],[f1517,f61816]) ).
fof(f89749,plain,
( t6 = not(and(t4,sum))
| ~ spl0_55
| ~ spl0_125
| ~ spl0_2994 ),
inference(forward_demodulation,[],[f89580,f398]) ).
fof(f89750,plain,
( or(not(t4),carry) = or(t6,not(not(carry)))
| ~ spl0_83
| ~ spl0_120
| ~ spl0_125 ),
inference(forward_demodulation,[],[f89578,f1462]) ).
fof(f89755,plain,
( or(t6,not(not(cin))) = or(not(t4),cin)
| ~ spl0_120
| ~ spl0_125
| ~ spl0_222 ),
inference(forward_demodulation,[],[f89573,f1462]) ).
fof(f89874,definition,
( spl0_3705
<=> t6 = not(and(t4,sum)) ),
introduced(definition,[new_symbols(definition,[spl0_3705])],[avatar_definition]) ).
fof(f89876,plain,
( t6 = not(and(t4,sum))
| ~ spl0_3705 ),
inference(avatar_component_clause,[],[f89874]) ).
fof(f89877,plain,
( spl0_3705
| ~ spl0_55
| ~ spl0_125
| ~ spl0_2994 ),
inference(avatar_split_clause,[],[f89749,f61814,f1516,f396,f89874]) ).
fof(f89878,plain,
( or(t6,carry) = or(not(t4),carry)
| ~ spl0_24
| ~ spl0_83
| ~ spl0_120
| ~ spl0_125 ),
inference(forward_demodulation,[],[f89750,f155]) ).
fof(f89883,plain,
( or(t6,not(not(cin))) = or(cin,not(t4))
| ~ spl0_36
| ~ spl0_120
| ~ spl0_125
| ~ spl0_222 ),
inference(forward_demodulation,[],[f89755,f203]) ).
fof(f89930,plain,
( or(t6,carry) = or(carry,not(t4))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_83
| ~ spl0_120
| ~ spl0_125 ),
inference(forward_demodulation,[],[f89878,f203]) ).
fof(f89935,plain,
( or(t6,cin) = or(cin,not(t4))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_125
| ~ spl0_222 ),
inference(forward_demodulation,[],[f89883,f155]) ).
fof(f89976,definition,
( spl0_3712
<=> or(t6,carry) = or(carry,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_3712])],[avatar_definition]) ).
fof(f89978,plain,
( or(t6,carry) = or(carry,not(t4))
| ~ spl0_3712 ),
inference(avatar_component_clause,[],[f89976]) ).
fof(f89979,plain,
( spl0_3712
| ~ spl0_24
| ~ spl0_36
| ~ spl0_83
| ~ spl0_120
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f89930,f1516,f1461,f685,f202,f154,f89976]) ).
fof(f89984,plain,
( or(cin,t6) = or(cin,not(t4))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_125
| ~ spl0_222 ),
inference(forward_demodulation,[],[f89935,f203]) ).
fof(f90015,definition,
( spl0_3715
<=> or(cin,t6) = or(cin,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_3715])],[avatar_definition]) ).
fof(f90017,plain,
( or(cin,t6) = or(cin,not(t4))
| ~ spl0_3715 ),
inference(avatar_component_clause,[],[f90015]) ).
fof(f90018,plain,
( spl0_3715
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_125
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f89984,f2484,f1516,f1461,f202,f154,f90015]) ).
fof(f90142,plain,
( not(t6) = and(t4,sum)
| ~ spl0_24
| ~ spl0_3705 ),
inference(superposition,[],[f155,f89876]) ).
fof(f90249,definition,
( spl0_3726
<=> not(t6) = and(t4,sum) ),
introduced(definition,[new_symbols(definition,[spl0_3726])],[avatar_definition]) ).
fof(f90251,plain,
( not(t6) = and(t4,sum)
| ~ spl0_3726 ),
inference(avatar_component_clause,[],[f90249]) ).
fof(f90252,plain,
( spl0_3726
| ~ spl0_24
| ~ spl0_3705 ),
inference(avatar_split_clause,[],[f90142,f89874,f154,f90249]) ).
fof(f90403,plain,
( or(t7,t4) = or(t7,not(t6))
| ~ spl0_918
| ~ spl0_3726 ),
inference(superposition,[],[f18571,f90251]) ).
fof(f90442,plain,
( or(t4,t7) = or(t7,not(t6))
| ~ spl0_36
| ~ spl0_918
| ~ spl0_3726 ),
inference(forward_demodulation,[],[f90403,f203]) ).
fof(f90456,definition,
( spl0_3743
<=> or(t4,t7) = or(t7,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_3743])],[avatar_definition]) ).
fof(f90458,plain,
( or(t4,t7) = or(t7,not(t6))
| ~ spl0_3743 ),
inference(avatar_component_clause,[],[f90456]) ).
fof(f90459,plain,
( spl0_3743
| ~ spl0_36
| ~ spl0_918
| ~ spl0_3726 ),
inference(avatar_split_clause,[],[f90442,f90249,f18570,f202,f90456]) ).
fof(f90480,plain,
( not(or(t6,carry)) = and(t4,not(carry))
| ~ spl0_249
| ~ spl0_3712 ),
inference(superposition,[],[f3264,f89978]) ).
fof(f90504,definition,
( spl0_3744
<=> not(or(t6,carry)) = and(t4,not(carry)) ),
introduced(definition,[new_symbols(definition,[spl0_3744])],[avatar_definition]) ).
fof(f90506,plain,
( not(or(t6,carry)) = and(t4,not(carry))
| ~ spl0_3744 ),
inference(avatar_component_clause,[],[f90504]) ).
fof(f90507,plain,
( spl0_3744
| ~ spl0_249
| ~ spl0_3712 ),
inference(avatar_split_clause,[],[f90480,f89976,f3263,f90504]) ).
fof(f90536,plain,
( not(or(cin,t6)) = and(t4,not(cin))
| ~ spl0_249
| ~ spl0_3715 ),
inference(superposition,[],[f3264,f90017]) ).
fof(f90559,definition,
( spl0_3748
<=> not(or(cin,t6)) = and(t4,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_3748])],[avatar_definition]) ).
fof(f90561,plain,
( not(or(cin,t6)) = and(t4,not(cin))
| ~ spl0_3748 ),
inference(avatar_component_clause,[],[f90559]) ).
fof(f90562,plain,
( spl0_3748
| ~ spl0_249
| ~ spl0_3715 ),
inference(avatar_split_clause,[],[f90536,f90015,f3263,f90559]) ).
fof(f91916,plain,
( ll0 = and(t6,and(t4,not(carry)))
| ~ spl0_470
| ~ spl0_3744 ),
inference(superposition,[],[f7467,f90506]) ).
fof(f92028,plain,
( ll0 = and(t4,and(t6,not(carry)))
| ~ spl0_280
| ~ spl0_470
| ~ spl0_3744 ),
inference(forward_demodulation,[],[f91916,f3729]) ).
fof(f92079,definition,
( spl0_3813
<=> ll0 = and(t4,and(t6,not(carry))) ),
introduced(definition,[new_symbols(definition,[spl0_3813])],[avatar_definition]) ).
fof(f92081,plain,
( ll0 = and(t4,and(t6,not(carry)))
| ~ spl0_3813 ),
inference(avatar_component_clause,[],[f92079]) ).
fof(f92082,plain,
( spl0_3813
| ~ spl0_280
| ~ spl0_470
| ~ spl0_3744 ),
inference(avatar_split_clause,[],[f92028,f90504,f7466,f3728,f92079]) ).
fof(f92279,plain,
( ll1 = or(ll0,not(and(and(t6,not(carry)),t4)))
| ~ spl0_141
| ~ spl0_3813 ),
inference(superposition,[],[f1625,f92081]) ).
fof(f92290,plain,
( ll1 = not(and(and(t6,not(carry)),t4))
| ~ spl0_68
| ~ spl0_141
| ~ spl0_3813 ),
inference(forward_demodulation,[],[f92279,f519]) ).
fof(f92300,plain,
( ll1 = not(and(t4,and(t6,not(carry))))
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_3813 ),
inference(forward_demodulation,[],[f92290,f1541]) ).
fof(f92314,plain,
( ll1 = or(carry,not(and(t4,t6)))
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_244
| ~ spl0_3813 ),
inference(forward_demodulation,[],[f92300,f3163]) ).
fof(f92324,definition,
( spl0_3833
<=> ll1 = or(carry,not(and(t4,t6))) ),
introduced(definition,[new_symbols(definition,[spl0_3833])],[avatar_definition]) ).
fof(f92326,plain,
( ll1 = or(carry,not(and(t4,t6)))
| ~ spl0_3833 ),
inference(avatar_component_clause,[],[f92324]) ).
fof(f92327,plain,
( spl0_3833
| ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_244
| ~ spl0_3813 ),
inference(avatar_split_clause,[],[f92314,f92079,f3162,f1624,f1540,f518,f92324]) ).
fof(f92544,plain,
( ! [X0] : or(or(cin,t6),not(X0)) = not(and(and(t4,not(cin)),X0))
| ~ spl0_121
| ~ spl0_3748 ),
inference(superposition,[],[f1477,f90561]) ).
fof(f92624,plain,
( ! [X0] : or(or(cin,t6),not(X0)) = not(and(t4,and(not(cin),X0)))
| ~ spl0_33
| ~ spl0_121
| ~ spl0_3748 ),
inference(forward_demodulation,[],[f92544,f191]) ).
fof(f92671,plain,
( ! [X0] : or(or(cin,t6),not(X0)) = or(cin,not(and(X0,t4)))
| ~ spl0_33
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3748 ),
inference(forward_demodulation,[],[f92624,f3155]) ).
fof(f92705,definition,
( spl0_3849
<=> ! [X0] : or(cin,or(t6,not(X0))) = or(cin,not(and(X0,t4))) ),
introduced(definition,[new_symbols(definition,[spl0_3849])],[avatar_definition]) ).
fof(f92706,plain,
( ! [X0] : or(cin,or(t6,not(X0))) = or(cin,not(and(X0,t4)))
| ~ spl0_3849 ),
inference(avatar_component_clause,[],[f92705]) ).
fof(f92714,plain,
( ! [X0] : or(cin,or(t6,not(X0))) = or(cin,not(and(X0,t4)))
| ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3748 ),
inference(forward_demodulation,[],[f92671,f195]) ).
fof(f92732,plain,
( spl0_3849
| ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3748 ),
inference(avatar_split_clause,[],[f92714,f90559,f3154,f1476,f194,f190,f92705]) ).
fof(f93439,plain,
( or(t6,ll0) = or(t6,not(t7))
| ~ spl0_27
| ~ spl0_1062 ),
inference(superposition,[],[f19189,f167]) ).
fof(f93497,plain,
( or(t6,ll0) = or(cin,t6)
| ~ spl0_27
| ~ spl0_1062
| ~ spl0_3614 ),
inference(forward_demodulation,[],[f93439,f88383]) ).
fof(f93525,plain,
( t6 = or(cin,t6)
| ~ spl0_27
| ~ spl0_32
| ~ spl0_1062
| ~ spl0_3614 ),
inference(forward_demodulation,[],[f93497,f187]) ).
fof(f93542,definition,
( spl0_3893
<=> t6 = or(cin,t6) ),
introduced(definition,[new_symbols(definition,[spl0_3893])],[avatar_definition]) ).
fof(f93544,plain,
( t6 = or(cin,t6)
| ~ spl0_3893 ),
inference(avatar_component_clause,[],[f93542]) ).
fof(f93545,plain,
( spl0_3893
| ~ spl0_27
| ~ spl0_32
| ~ spl0_1062
| ~ spl0_3614 ),
inference(avatar_split_clause,[],[f93525,f88381,f19188,f186,f166,f93542]) ).
fof(f93547,plain,
( not(t6) = and(t4,not(cin))
| ~ spl0_3748
| ~ spl0_3893 ),
inference(superposition,[],[f90561,f93544]) ).
fof(f93549,plain,
( not(t7) = and(not(t7),t6)
| ~ spl0_1958
| ~ spl0_3893 ),
inference(superposition,[],[f29538,f93544]) ).
fof(f93567,plain,
( cin = and(cin,t6)
| ~ spl0_18
| ~ spl0_3893 ),
inference(superposition,[],[f129,f93544]) ).
fof(f93596,definition,
( spl0_3897
<=> cin = and(cin,t6) ),
introduced(definition,[new_symbols(definition,[spl0_3897])],[avatar_definition]) ).
fof(f93598,plain,
( cin = and(cin,t6)
| ~ spl0_3897 ),
inference(avatar_component_clause,[],[f93596]) ).
fof(f93599,plain,
( spl0_3897
| ~ spl0_18
| ~ spl0_3893 ),
inference(avatar_split_clause,[],[f93567,f93542,f128,f93596]) ).
fof(f93609,plain,
( not(t7) = and(t6,not(t7))
| ~ spl0_35
| ~ spl0_1958
| ~ spl0_3893 ),
inference(forward_demodulation,[],[f93549,f199]) ).
fof(f93612,definition,
( spl0_3899
<=> not(t6) = and(t4,not(cin)) ),
introduced(definition,[new_symbols(definition,[spl0_3899])],[avatar_definition]) ).
fof(f93614,plain,
( not(t6) = and(t4,not(cin))
| ~ spl0_3899 ),
inference(avatar_component_clause,[],[f93612]) ).
fof(f93615,plain,
( spl0_3899
| ~ spl0_3748
| ~ spl0_3893 ),
inference(avatar_split_clause,[],[f93547,f93542,f90559,f93612]) ).
fof(f93622,definition,
( spl0_3901
<=> not(t7) = and(t6,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_3901])],[avatar_definition]) ).
fof(f93624,plain,
( not(t7) = and(t6,not(t7))
| ~ spl0_3901 ),
inference(avatar_component_clause,[],[f93622]) ).
fof(f93625,plain,
( spl0_3901
| ~ spl0_35
| ~ spl0_1958
| ~ spl0_3893 ),
inference(avatar_split_clause,[],[f93609,f93542,f29537,f198,f93622]) ).
fof(f93627,plain,
( not(and(t5,cin)) = or(t7,not(t6))
| ~ spl0_123
| ~ spl0_3897 ),
inference(superposition,[],[f1509,f93598]) ).
fof(f93632,plain,
( ! [X0] : and(cin,X0) = and(cin,and(t6,X0))
| ~ spl0_33
| ~ spl0_3897 ),
inference(superposition,[],[f191,f93598]) ).
fof(f93652,definition,
( spl0_3903
<=> ! [X0] : and(cin,X0) = and(cin,and(t6,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_3903])],[avatar_definition]) ).
fof(f93653,plain,
( ! [X0] : and(cin,X0) = and(cin,and(t6,X0))
| ~ spl0_3903 ),
inference(avatar_component_clause,[],[f93652]) ).
fof(f93654,plain,
( spl0_3903
| ~ spl0_33
| ~ spl0_3897 ),
inference(avatar_split_clause,[],[f93632,f93596,f190,f93652]) ).
fof(f93657,plain,
( not(and(t5,cin)) = or(t4,t7)
| ~ spl0_123
| ~ spl0_3743
| ~ spl0_3897 ),
inference(forward_demodulation,[],[f93627,f90458]) ).
fof(f93665,plain,
( t7 = or(t4,t7)
| ~ spl0_5
| ~ spl0_123
| ~ spl0_3743
| ~ spl0_3897 ),
inference(forward_demodulation,[],[f93657,f69]) ).
fof(f93668,definition,
( spl0_3905
<=> t7 = or(t4,t7) ),
introduced(definition,[new_symbols(definition,[spl0_3905])],[avatar_definition]) ).
fof(f93670,plain,
( t7 = or(t4,t7)
| ~ spl0_3905 ),
inference(avatar_component_clause,[],[f93668]) ).
fof(f93671,plain,
( spl0_3905
| ~ spl0_5
| ~ spl0_123
| ~ spl0_3743
| ~ spl0_3897 ),
inference(avatar_split_clause,[],[f93665,f93596,f90456,f1508,f67,f93668]) ).
fof(f93682,plain,
( not(t6) = and(not(t6),t7)
| ~ spl0_1980
| ~ spl0_3905 ),
inference(superposition,[],[f29940,f93670]) ).
fof(f93699,plain,
( t4 = and(t4,t7)
| ~ spl0_18
| ~ spl0_3905 ),
inference(superposition,[],[f129,f93670]) ).
fof(f93728,definition,
( spl0_3909
<=> t4 = and(t4,t7) ),
introduced(definition,[new_symbols(definition,[spl0_3909])],[avatar_definition]) ).
fof(f93730,plain,
( t4 = and(t4,t7)
| ~ spl0_3909 ),
inference(avatar_component_clause,[],[f93728]) ).
fof(f93731,plain,
( spl0_3909
| ~ spl0_18
| ~ spl0_3905 ),
inference(avatar_split_clause,[],[f93699,f93668,f128,f93728]) ).
fof(f93737,plain,
( not(t6) = and(t7,not(t6))
| ~ spl0_35
| ~ spl0_1980
| ~ spl0_3905 ),
inference(forward_demodulation,[],[f93682,f199]) ).
fof(f93762,definition,
( spl0_3914
<=> not(t6) = and(t7,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_3914])],[avatar_definition]) ).
fof(f93764,plain,
( not(t6) = and(t7,not(t6))
| ~ spl0_3914 ),
inference(avatar_component_clause,[],[f93762]) ).
fof(f93765,plain,
( spl0_3914
| ~ spl0_35
| ~ spl0_1980
| ~ spl0_3905 ),
inference(avatar_split_clause,[],[f93737,f93668,f29939,f198,f93762]) ).
fof(f96207,plain,
( or(t4,not(not(b))) = not(and(t2,not(b)))
| ~ spl0_126
| ~ spl0_224 ),
inference(superposition,[],[f1521,f2508]) ).
fof(f96387,plain,
( or(not(t2),b) = or(t4,not(not(b)))
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224 ),
inference(forward_demodulation,[],[f96207,f1462]) ).
fof(f96455,plain,
( or(t4,b) = or(not(t2),b)
| ~ spl0_24
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224 ),
inference(forward_demodulation,[],[f96387,f155]) ).
fof(f96494,plain,
( or(t4,b) = or(b,not(t2))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224 ),
inference(forward_demodulation,[],[f96455,f203]) ).
fof(f96518,plain,
( or(a,b) = or(t4,b)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224
| ~ spl0_3677 ),
inference(forward_demodulation,[],[f96494,f89432]) ).
fof(f96534,plain,
( or(a,b) = or(b,t4)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224
| ~ spl0_3677 ),
inference(forward_demodulation,[],[f96518,f203]) ).
fof(f96543,definition,
( spl0_4039
<=> or(a,b) = or(b,t4) ),
introduced(definition,[new_symbols(definition,[spl0_4039])],[avatar_definition]) ).
fof(f96545,plain,
( or(a,b) = or(b,t4)
| ~ spl0_4039 ),
inference(avatar_component_clause,[],[f96543]) ).
fof(f96546,plain,
( spl0_4039
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224
| ~ spl0_3677 ),
inference(avatar_split_clause,[],[f96534,f89430,f2506,f1520,f1461,f202,f154,f96543]) ).
fof(f101725,plain,
( or(cin,t4) = or(cin,not(t6))
| ~ spl0_40
| ~ spl0_1162 ),
inference(superposition,[],[f19590,f231]) ).
fof(f101791,definition,
( spl0_4281
<=> or(cin,t4) = or(cin,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_4281])],[avatar_definition]) ).
fof(f101793,plain,
( or(cin,t4) = or(cin,not(t6))
| ~ spl0_4281 ),
inference(avatar_component_clause,[],[f101791]) ).
fof(f101794,plain,
( spl0_4281
| ~ spl0_40
| ~ spl0_1162 ),
inference(avatar_split_clause,[],[f101725,f19589,f229,f101791]) ).
fof(f101942,plain,
( or(cin,sum) = or(cin,t4)
| ~ spl0_2985
| ~ spl0_4281 ),
inference(superposition,[],[f61674,f101793]) ).
fof(f101977,definition,
( spl0_4298
<=> or(cin,sum) = or(cin,t4) ),
introduced(definition,[new_symbols(definition,[spl0_4298])],[avatar_definition]) ).
fof(f101979,plain,
( or(cin,sum) = or(cin,t4)
| ~ spl0_4298 ),
inference(avatar_component_clause,[],[f101977]) ).
fof(f101980,plain,
( spl0_4298
| ~ spl0_2985
| ~ spl0_4281 ),
inference(avatar_split_clause,[],[f101942,f101791,f61672,f101977]) ).
fof(f102018,plain,
( ! [X0] : or(cin,and(sum,X0)) = and(or(cin,t4),or(cin,X0))
| ~ spl0_29
| ~ spl0_4298 ),
inference(superposition,[],[f175,f101979]) ).
fof(f102043,plain,
( ! [X0] : or(cin,and(sum,X0)) = or(cin,and(t4,X0))
| ~ spl0_29
| ~ spl0_4298 ),
inference(forward_demodulation,[],[f102018,f175]) ).
fof(f102058,definition,
( spl0_4306
<=> ! [X0] : or(cin,and(sum,X0)) = or(cin,and(t4,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_4306])],[avatar_definition]) ).
fof(f102059,plain,
( ! [X0] : or(cin,and(sum,X0)) = or(cin,and(t4,X0))
| ~ spl0_4306 ),
inference(avatar_component_clause,[],[f102058]) ).
fof(f102060,plain,
( spl0_4306
| ~ spl0_29
| ~ spl0_4298 ),
inference(avatar_split_clause,[],[f102043,f101977,f174,f102058]) ).
fof(f102242,plain,
( or(b,ll0) = or(b,and(a,t2))
| ~ spl0_115
| ~ spl0_1174 ),
inference(superposition,[],[f19638,f1098]) ).
fof(f102320,plain,
( b = or(b,and(a,t2))
| ~ spl0_32
| ~ spl0_115
| ~ spl0_1174 ),
inference(forward_demodulation,[],[f102242,f187]) ).
fof(f102345,definition,
( spl0_4323
<=> b = or(b,and(a,t2)) ),
introduced(definition,[new_symbols(definition,[spl0_4323])],[avatar_definition]) ).
fof(f102347,plain,
( b = or(b,and(a,t2))
| ~ spl0_4323 ),
inference(avatar_component_clause,[],[f102345]) ).
fof(f102348,plain,
( spl0_4323
| ~ spl0_32
| ~ spl0_115
| ~ spl0_1174 ),
inference(avatar_split_clause,[],[f102320,f19637,f1096,f186,f102345]) ).
fof(f102415,plain,
( and(a,t2) = and(and(a,t2),b)
| ~ spl0_69
| ~ spl0_4323 ),
inference(superposition,[],[f523,f102347]) ).
fof(f102427,plain,
( and(a,t2) = and(a,and(t2,b))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_4323 ),
inference(forward_demodulation,[],[f102415,f191]) ).
fof(f102445,plain,
( and(a,t2) = and(a,and(b,t2))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_2335
| ~ spl0_4323 ),
inference(forward_demodulation,[],[f102427,f39841]) ).
fof(f102448,plain,
( and(a,t2) = and(not(t1),t2)
| ~ spl0_33
| ~ spl0_69
| ~ spl0_427
| ~ spl0_2335
| ~ spl0_4323 ),
inference(forward_demodulation,[],[f102445,f7099]) ).
fof(f102457,plain,
( and(a,t2) = and(t2,not(t1))
| ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_427
| ~ spl0_2335
| ~ spl0_4323 ),
inference(forward_demodulation,[],[f102448,f199]) ).
fof(f102458,plain,
( not(t1) = and(a,t2)
| ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_221
| ~ spl0_427
| ~ spl0_2335
| ~ spl0_4323 ),
inference(forward_demodulation,[],[f102457,f2475]) ).
fof(f102460,definition,
( spl0_4335
<=> not(t1) = and(a,t2) ),
introduced(definition,[new_symbols(definition,[spl0_4335])],[avatar_definition]) ).
fof(f102462,plain,
( not(t1) = and(a,t2)
| ~ spl0_4335 ),
inference(avatar_component_clause,[],[f102460]) ).
fof(f102463,plain,
( spl0_4335
| ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_221
| ~ spl0_427
| ~ spl0_2335
| ~ spl0_4323 ),
inference(avatar_split_clause,[],[f102458,f102345,f39840,f7098,f2473,f522,f198,f190,f102460]) ).
fof(f102469,plain,
( or(t4,a) = or(t4,not(t1))
| ~ spl0_956
| ~ spl0_4335 ),
inference(superposition,[],[f18734,f102462]) ).
fof(f102501,plain,
( or(a,t4) = or(t4,not(t1))
| ~ spl0_36
| ~ spl0_956
| ~ spl0_4335 ),
inference(forward_demodulation,[],[f102469,f203]) ).
fof(f102517,definition,
( spl0_4338
<=> or(a,t4) = or(t4,not(t1)) ),
introduced(definition,[new_symbols(definition,[spl0_4338])],[avatar_definition]) ).
fof(f102519,plain,
( or(a,t4) = or(t4,not(t1))
| ~ spl0_4338 ),
inference(avatar_component_clause,[],[f102517]) ).
fof(f102520,plain,
( spl0_4338
| ~ spl0_36
| ~ spl0_956
| ~ spl0_4335 ),
inference(avatar_split_clause,[],[f102501,f102460,f18733,f202,f102517]) ).
fof(f102596,plain,
( or(carry,not(not(t4))) = not(and(t1,not(t4)))
| ~ spl0_127
| ~ spl0_216 ),
inference(superposition,[],[f1525,f2420]) ).
fof(f102600,plain,
( or(carry,not(t4)) = not(and(t1,not(t6)))
| ~ spl0_40
| ~ spl0_127 ),
inference(superposition,[],[f1525,f231]) ).
fof(f102773,plain,
( or(carry,not(t4)) = or(not(t1),t6)
| ~ spl0_40
| ~ spl0_120
| ~ spl0_127 ),
inference(forward_demodulation,[],[f102600,f1462]) ).
fof(f102777,plain,
( or(not(t1),t4) = or(carry,not(not(t4)))
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216 ),
inference(forward_demodulation,[],[f102596,f1462]) ).
fof(f102863,plain,
( or(carry,not(t4)) = or(t6,not(t1))
| ~ spl0_36
| ~ spl0_40
| ~ spl0_120
| ~ spl0_127 ),
inference(forward_demodulation,[],[f102773,f203]) ).
fof(f102867,plain,
( or(carry,t4) = or(not(t1),t4)
| ~ spl0_24
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216 ),
inference(forward_demodulation,[],[f102777,f155]) ).
fof(f102909,plain,
( t6 = or(carry,not(t4))
| ~ spl0_36
| ~ spl0_40
| ~ spl0_120
| ~ spl0_127
| ~ spl0_3328 ),
inference(forward_demodulation,[],[f102863,f69095]) ).
fof(f102913,plain,
( or(carry,t4) = or(t4,not(t1))
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216 ),
inference(forward_demodulation,[],[f102867,f203]) ).
fof(f102941,definition,
( spl0_4357
<=> t6 = or(carry,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_4357])],[avatar_definition]) ).
fof(f102943,plain,
( t6 = or(carry,not(t4))
| ~ spl0_4357 ),
inference(avatar_component_clause,[],[f102941]) ).
fof(f102944,plain,
( spl0_4357
| ~ spl0_36
| ~ spl0_40
| ~ spl0_120
| ~ spl0_127
| ~ spl0_3328 ),
inference(avatar_split_clause,[],[f102909,f69093,f1524,f1461,f229,f202,f102941]) ).
fof(f102948,plain,
( or(carry,t4) = or(a,t4)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216
| ~ spl0_4338 ),
inference(forward_demodulation,[],[f102913,f102519]) ).
fof(f102983,plain,
( or(t4,carry) = or(a,t4)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216
| ~ spl0_4338 ),
inference(forward_demodulation,[],[f102948,f203]) ).
fof(f103003,definition,
( spl0_4364
<=> or(t4,carry) = or(a,t4) ),
introduced(definition,[new_symbols(definition,[spl0_4364])],[avatar_definition]) ).
fof(f103005,plain,
( or(t4,carry) = or(a,t4)
| ~ spl0_4364 ),
inference(avatar_component_clause,[],[f103003]) ).
fof(f103006,plain,
( spl0_4364
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216
| ~ spl0_4338 ),
inference(avatar_split_clause,[],[f102983,f102517,f2418,f1524,f1461,f202,f154,f103003]) ).
fof(f103204,plain,
( ! [X0] : or(carry,and(not(t4),X0)) = and(t6,or(carry,X0))
| ~ spl0_29
| ~ spl0_4357 ),
inference(superposition,[],[f175,f102943]) ).
fof(f103228,definition,
( spl0_4379
<=> ! [X0] : or(carry,and(not(t4),X0)) = and(t6,or(carry,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_4379])],[avatar_definition]) ).
fof(f103229,plain,
( ! [X0] : or(carry,and(not(t4),X0)) = and(t6,or(carry,X0))
| ~ spl0_4379 ),
inference(avatar_component_clause,[],[f103228]) ).
fof(f103230,plain,
( spl0_4379
| ~ spl0_29
| ~ spl0_4357 ),
inference(avatar_split_clause,[],[f103204,f102941,f174,f103228]) ).
fof(f104470,plain,
( not(or(a,t4)) = and(t1,not(t4))
| ~ spl0_249
| ~ spl0_4338 ),
inference(superposition,[],[f3264,f102519]) ).
fof(f104494,definition,
( spl0_4442
<=> not(or(a,t4)) = and(t1,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_4442])],[avatar_definition]) ).
fof(f104496,plain,
( not(or(a,t4)) = and(t1,not(t4))
| ~ spl0_4442 ),
inference(avatar_component_clause,[],[f104494]) ).
fof(f104497,plain,
( spl0_4442
| ~ spl0_249
| ~ spl0_4338 ),
inference(avatar_split_clause,[],[f104470,f102517,f3263,f104494]) ).
fof(f109349,plain,
( not(and(b,not(a))) = or(t3,not(not(a)))
| ~ spl0_128
| ~ spl0_226 ),
inference(superposition,[],[f1529,f2530]) ).
fof(f109535,plain,
( not(and(b,not(a))) = or(t3,a)
| ~ spl0_24
| ~ spl0_128
| ~ spl0_226 ),
inference(forward_demodulation,[],[f109349,f155]) ).
fof(f109618,plain,
( not(and(b,not(a))) = or(a,t3)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_128
| ~ spl0_226 ),
inference(forward_demodulation,[],[f109535,f203]) ).
fof(f109670,plain,
( or(not(b),a) = or(a,t3)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_128
| ~ spl0_226 ),
inference(forward_demodulation,[],[f109618,f1462]) ).
fof(f109715,plain,
( or(a,not(b)) = or(a,t3)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_128
| ~ spl0_226 ),
inference(forward_demodulation,[],[f109670,f203]) ).
fof(f109735,definition,
( spl0_4672
<=> or(a,not(b)) = or(a,t3) ),
introduced(definition,[new_symbols(definition,[spl0_4672])],[avatar_definition]) ).
fof(f109737,plain,
( or(a,not(b)) = or(a,t3)
| ~ spl0_4672 ),
inference(avatar_component_clause,[],[f109735]) ).
fof(f109738,plain,
( spl0_4672
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_128
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f109715,f2528,f1528,f1461,f202,f154,f109735]) ).
fof(f110288,plain,
( and(b,not(a)) = not(or(a,t3))
| ~ spl0_249
| ~ spl0_4672 ),
inference(superposition,[],[f3264,f109737]) ).
fof(f110311,definition,
( spl0_4712
<=> and(b,not(a)) = not(or(a,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_4712])],[avatar_definition]) ).
fof(f110313,plain,
( and(b,not(a)) = not(or(a,t3))
| ~ spl0_4712 ),
inference(avatar_component_clause,[],[f110311]) ).
fof(f110314,plain,
( spl0_4712
| ~ spl0_249
| ~ spl0_4672 ),
inference(avatar_split_clause,[],[f110288,f109735,f3263,f110311]) ).
fof(f115307,plain,
( or(a,ll0) = or(a,and(b,t3))
| ~ spl0_114
| ~ spl0_1183 ),
inference(superposition,[],[f19674,f1093]) ).
fof(f115394,plain,
( a = or(a,and(b,t3))
| ~ spl0_32
| ~ spl0_114
| ~ spl0_1183 ),
inference(forward_demodulation,[],[f115307,f187]) ).
fof(f115429,definition,
( spl0_4989
<=> a = or(a,and(b,t3)) ),
introduced(definition,[new_symbols(definition,[spl0_4989])],[avatar_definition]) ).
fof(f115431,plain,
( a = or(a,and(b,t3))
| ~ spl0_4989 ),
inference(avatar_component_clause,[],[f115429]) ).
fof(f115432,plain,
( spl0_4989
| ~ spl0_32
| ~ spl0_114
| ~ spl0_1183 ),
inference(avatar_split_clause,[],[f115394,f19673,f1091,f186,f115429]) ).
fof(f115554,plain,
( and(b,t3) = and(and(b,t3),a)
| ~ spl0_69
| ~ spl0_4989 ),
inference(superposition,[],[f523,f115431]) ).
fof(f115566,plain,
( and(b,t3) = and(b,and(t3,a))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_4989 ),
inference(forward_demodulation,[],[f115554,f191]) ).
fof(f115580,plain,
( and(b,t3) = and(a,and(b,t3))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_384
| ~ spl0_4989 ),
inference(forward_demodulation,[],[f115566,f6906]) ).
fof(f115583,plain,
( and(b,t3) = and(not(t1),t3)
| ~ spl0_33
| ~ spl0_69
| ~ spl0_384
| ~ spl0_427
| ~ spl0_4989 ),
inference(forward_demodulation,[],[f115580,f7099]) ).
fof(f115592,plain,
( and(b,t3) = and(t3,not(t1))
| ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_384
| ~ spl0_427
| ~ spl0_4989 ),
inference(forward_demodulation,[],[f115583,f199]) ).
fof(f115593,plain,
( not(t1) = and(b,t3)
| ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_220
| ~ spl0_384
| ~ spl0_427
| ~ spl0_4989 ),
inference(forward_demodulation,[],[f115592,f2464]) ).
fof(f115595,definition,
( spl0_5006
<=> not(t1) = and(b,t3) ),
introduced(definition,[new_symbols(definition,[spl0_5006])],[avatar_definition]) ).
fof(f115597,plain,
( not(t1) = and(b,t3)
| ~ spl0_5006 ),
inference(avatar_component_clause,[],[f115595]) ).
fof(f115598,plain,
( spl0_5006
| ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_220
| ~ spl0_384
| ~ spl0_427
| ~ spl0_4989 ),
inference(avatar_split_clause,[],[f115593,f115429,f7098,f6905,f2462,f522,f198,f190,f115595]) ).
fof(f115606,plain,
( or(t4,b) = or(t4,not(t1))
| ~ spl0_955
| ~ spl0_5006 ),
inference(superposition,[],[f18730,f115597]) ).
fof(f115642,plain,
( or(t4,b) = or(a,t4)
| ~ spl0_955
| ~ spl0_4338
| ~ spl0_5006 ),
inference(forward_demodulation,[],[f115606,f102519]) ).
fof(f115658,plain,
( or(b,t4) = or(a,t4)
| ~ spl0_36
| ~ spl0_955
| ~ spl0_4338
| ~ spl0_5006 ),
inference(forward_demodulation,[],[f115642,f203]) ).
fof(f115666,plain,
( or(a,b) = or(a,t4)
| ~ spl0_36
| ~ spl0_955
| ~ spl0_4039
| ~ spl0_4338
| ~ spl0_5006 ),
inference(forward_demodulation,[],[f115658,f96545]) ).
fof(f115670,definition,
( spl0_5010
<=> or(a,b) = or(a,t4) ),
introduced(definition,[new_symbols(definition,[spl0_5010])],[avatar_definition]) ).
fof(f115672,plain,
( or(a,b) = or(a,t4)
| ~ spl0_5010 ),
inference(avatar_component_clause,[],[f115670]) ).
fof(f115673,plain,
( spl0_5010
| ~ spl0_36
| ~ spl0_955
| ~ spl0_4039
| ~ spl0_4338
| ~ spl0_5006 ),
inference(avatar_split_clause,[],[f115666,f115595,f102517,f96543,f18729,f202,f115670]) ).
fof(f124763,plain,
( not(and(a,not(b))) = or(t2,not(not(b)))
| ~ spl0_130
| ~ spl0_225 ),
inference(superposition,[],[f1537,f2519]) ).
fof(f124948,plain,
( not(and(a,not(b))) = or(t2,b)
| ~ spl0_24
| ~ spl0_130
| ~ spl0_225 ),
inference(forward_demodulation,[],[f124763,f155]) ).
fof(f125032,plain,
( not(and(a,not(b))) = or(b,t2)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_130
| ~ spl0_225 ),
inference(forward_demodulation,[],[f124948,f203]) ).
fof(f125091,plain,
( or(not(a),b) = or(b,t2)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_130
| ~ spl0_225 ),
inference(forward_demodulation,[],[f125032,f1462]) ).
fof(f125146,plain,
( or(b,not(a)) = or(b,t2)
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_130
| ~ spl0_225 ),
inference(forward_demodulation,[],[f125091,f203]) ).
fof(f125167,definition,
( spl0_5328
<=> or(b,not(a)) = or(b,t2) ),
introduced(definition,[new_symbols(definition,[spl0_5328])],[avatar_definition]) ).
fof(f125169,plain,
( or(b,not(a)) = or(b,t2)
| ~ spl0_5328 ),
inference(avatar_component_clause,[],[f125167]) ).
fof(f125170,plain,
( spl0_5328
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_130
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f125146,f2517,f1536,f1461,f202,f154,f125167]) ).
fof(f134096,plain,
( or(t2,not(t1)) = or(t2,b)
| ~ spl0_2147
| ~ spl0_5006 ),
inference(superposition,[],[f35995,f115597]) ).
fof(f134149,plain,
( or(t2,not(t1)) = or(b,t2)
| ~ spl0_36
| ~ spl0_2147
| ~ spl0_5006 ),
inference(forward_demodulation,[],[f134096,f203]) ).
fof(f134171,plain,
( t2 = or(b,t2)
| ~ spl0_36
| ~ spl0_202
| ~ spl0_2147
| ~ spl0_5006 ),
inference(forward_demodulation,[],[f134149,f2308]) ).
fof(f134178,definition,
( spl0_5581
<=> t2 = or(b,t2) ),
introduced(definition,[new_symbols(definition,[spl0_5581])],[avatar_definition]) ).
fof(f134180,plain,
( t2 = or(b,t2)
| ~ spl0_5581 ),
inference(avatar_component_clause,[],[f134178]) ).
fof(f134181,plain,
( spl0_5581
| ~ spl0_36
| ~ spl0_202
| ~ spl0_2147
| ~ spl0_5006 ),
inference(avatar_split_clause,[],[f134171,f115595,f35994,f2306,f202,f134178]) ).
fof(f134186,plain,
( t3 = or(t3,not(t2))
| ~ spl0_1842
| ~ spl0_5581 ),
inference(superposition,[],[f27268,f134180]) ).
fof(f134247,definition,
( spl0_5586
<=> t3 = or(t3,not(t2)) ),
introduced(definition,[new_symbols(definition,[spl0_5586])],[avatar_definition]) ).
fof(f134249,plain,
( t3 = or(t3,not(t2))
| ~ spl0_5586 ),
inference(avatar_component_clause,[],[f134247]) ).
fof(f134250,plain,
( spl0_5586
| ~ spl0_1842
| ~ spl0_5581 ),
inference(avatar_split_clause,[],[f134186,f134178,f27267,f134247]) ).
fof(f135675,plain,
( ! [X0] : and(X0,t4) = and(t4,and(t7,X0))
| ~ spl0_384
| ~ spl0_3909 ),
inference(superposition,[],[f6906,f93730]) ).
fof(f135713,plain,
( ! [X0] : and(t6,and(t7,X0)) = and(X0,not(sum))
| ~ spl0_38
| ~ spl0_384 ),
inference(superposition,[],[f6906,f217]) ).
fof(f135839,plain,
( ! [X0] : cin = or(cin,and(sum,and(X0,t6)))
| ~ spl0_384
| ~ spl0_3474 ),
inference(superposition,[],[f72246,f6906]) ).
fof(f136600,plain,
( ! [X0] : cin = or(cin,and(t4,and(X0,t6)))
| ~ spl0_384
| ~ spl0_3474
| ~ spl0_4306 ),
inference(forward_demodulation,[],[f135839,f102059]) ).
fof(f136819,definition,
( spl0_5729
<=> ! [X0] : and(t6,and(t7,X0)) = and(X0,not(sum)) ),
introduced(definition,[new_symbols(definition,[spl0_5729])],[avatar_definition]) ).
fof(f136820,plain,
( ! [X0] : and(t6,and(t7,X0)) = and(X0,not(sum))
| ~ spl0_5729 ),
inference(avatar_component_clause,[],[f136819]) ).
fof(f136821,plain,
( spl0_5729
| ~ spl0_38
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f135713,f6905,f215,f136819]) ).
fof(f136904,definition,
( spl0_5745
<=> ! [X0] : and(X0,t4) = and(t4,and(t7,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_5745])],[avatar_definition]) ).
fof(f136905,plain,
( ! [X0] : and(X0,t4) = and(t4,and(t7,X0))
| ~ spl0_5745 ),
inference(avatar_component_clause,[],[f136904]) ).
fof(f136906,plain,
( spl0_5745
| ~ spl0_384
| ~ spl0_3909 ),
inference(avatar_split_clause,[],[f135675,f93728,f6905,f136904]) ).
fof(f138092,definition,
( spl0_5904
<=> ! [X0] : cin = or(cin,and(t4,and(X0,t6))) ),
introduced(definition,[new_symbols(definition,[spl0_5904])],[avatar_definition]) ).
fof(f138093,plain,
( ! [X0] : cin = or(cin,and(t4,and(X0,t6)))
| ~ spl0_5904 ),
inference(avatar_component_clause,[],[f138092]) ).
fof(f138094,plain,
( spl0_5904
| ~ spl0_384
| ~ spl0_3474
| ~ spl0_4306 ),
inference(avatar_split_clause,[],[f136600,f102058,f72245,f6905,f138092]) ).
fof(f148575,plain,
( ! [X0] : and(t4,and(X0,t6)) = and(and(t4,and(X0,t6)),cin)
| ~ spl0_69
| ~ spl0_5904 ),
inference(superposition,[],[f523,f138093]) ).
fof(f148587,plain,
( ! [X0] : and(t4,and(X0,t6)) = and(t4,and(and(X0,t6),cin))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_5904 ),
inference(forward_demodulation,[],[f148575,f191]) ).
fof(f148608,plain,
( ! [X0] : and(t4,and(X0,t6)) = and(cin,and(t4,and(X0,t6)))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_384
| ~ spl0_5904 ),
inference(forward_demodulation,[],[f148587,f6906]) ).
fof(f148617,plain,
( ! [X0] : and(not(t5),and(X0,t6)) = and(t4,and(X0,t6))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_384
| ~ spl0_420
| ~ spl0_5904 ),
inference(forward_demodulation,[],[f148608,f7067]) ).
fof(f148624,plain,
( ! [X0] : and(t6,and(X0,not(t5))) = and(t4,and(X0,t6))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_384
| ~ spl0_420
| ~ spl0_5904 ),
inference(forward_demodulation,[],[f148617,f4316]) ).
fof(f148629,plain,
( ! [X0] : and(not(t5),X0) = and(t4,and(X0,t6))
| ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_384
| ~ spl0_420
| ~ spl0_1809
| ~ spl0_5904 ),
inference(forward_demodulation,[],[f148624,f26823]) ).
fof(f148631,definition,
( spl0_6400
<=> ! [X0] : and(not(t5),X0) = and(t4,and(X0,t6)) ),
introduced(definition,[new_symbols(definition,[spl0_6400])],[avatar_definition]) ).
fof(f148632,plain,
( ! [X0] : and(not(t5),X0) = and(t4,and(X0,t6))
| ~ spl0_6400 ),
inference(avatar_component_clause,[],[f148631]) ).
fof(f148633,plain,
( spl0_6400
| ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_384
| ~ spl0_420
| ~ spl0_1809
| ~ spl0_5904 ),
inference(avatar_split_clause,[],[f148629,f138092,f26822,f7066,f6905,f4315,f522,f190,f148631]) ).
fof(f152856,plain,
( ! [X0] : or(or(cin,t6),not(X0)) = not(and(and(t7,not(t6)),X0))
| ~ spl0_121
| ~ spl0_3616 ),
inference(superposition,[],[f1477,f88431]) ).
fof(f152933,plain,
( ! [X0] : or(or(cin,t6),not(X0)) = not(and(t7,and(not(t6),X0)))
| ~ spl0_33
| ~ spl0_121
| ~ spl0_3616 ),
inference(forward_demodulation,[],[f152856,f191]) ).
fof(f152984,plain,
( ! [X0] : or(or(cin,t6),not(X0)) = or(t6,not(and(X0,t7)))
| ~ spl0_33
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3616 ),
inference(forward_demodulation,[],[f152933,f3155]) ).
fof(f153029,plain,
( ! [X0] : or(cin,or(t6,not(X0))) = or(t6,not(and(X0,t7)))
| ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3616 ),
inference(forward_demodulation,[],[f152984,f195]) ).
fof(f153046,definition,
( spl0_6487
<=> ! [X0] : or(cin,not(and(X0,t4))) = or(t6,not(and(X0,t7))) ),
introduced(definition,[new_symbols(definition,[spl0_6487])],[avatar_definition]) ).
fof(f153047,plain,
( ! [X0] : or(cin,not(and(X0,t4))) = or(t6,not(and(X0,t7)))
| ~ spl0_6487 ),
inference(avatar_component_clause,[],[f153046]) ).
fof(f153051,plain,
( ! [X0] : or(cin,not(and(X0,t4))) = or(t6,not(and(X0,t7)))
| ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3616
| ~ spl0_3849 ),
inference(forward_demodulation,[],[f153029,f92706]) ).
fof(f153067,plain,
( spl0_6487
| ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3616
| ~ spl0_3849 ),
inference(avatar_split_clause,[],[f153051,f92705,f88429,f3154,f1476,f194,f190,f153046]) ).
fof(f172262,plain,
( ! [X0] : not(and(t5,and(cin,X0))) = or(t7,not(and(t6,X0)))
| ~ spl0_123
| ~ spl0_3903 ),
inference(superposition,[],[f1509,f93653]) ).
fof(f172325,plain,
( ! [X0] : or(t7,not(X0)) = or(t7,not(and(t6,X0)))
| ~ spl0_123
| ~ spl0_3903 ),
inference(forward_demodulation,[],[f172262,f1509]) ).
fof(f172397,definition,
( spl0_7239
<=> ! [X0] : or(t7,not(X0)) = or(t7,not(and(t6,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_7239])],[avatar_definition]) ).
fof(f172398,plain,
( ! [X0] : or(t7,not(X0)) = or(t7,not(and(t6,X0)))
| ~ spl0_7239 ),
inference(avatar_component_clause,[],[f172397]) ).
fof(f172399,plain,
( spl0_7239
| ~ spl0_123
| ~ spl0_3903 ),
inference(avatar_split_clause,[],[f172325,f93652,f1508,f172397]) ).
fof(f194623,plain,
( not(or(a,b)) = and(t1,not(t4))
| ~ spl0_4442
| ~ spl0_5010 ),
inference(superposition,[],[f104496,f115672]) ).
fof(f194744,definition,
( spl0_8295
<=> not(or(a,b)) = and(t1,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_8295])],[avatar_definition]) ).
fof(f194746,plain,
( not(or(a,b)) = and(t1,not(t4))
| ~ spl0_8295 ),
inference(avatar_component_clause,[],[f194744]) ).
fof(f194747,plain,
( spl0_8295
| ~ spl0_4442
| ~ spl0_5010 ),
inference(avatar_split_clause,[],[f194623,f115670,f104494,f194744]) ).
fof(f220556,plain,
( ! [X0] : and(X0,t4) = and(t4,and(X0,t7))
| ~ spl0_35
| ~ spl0_5745 ),
inference(superposition,[],[f136905,f199]) ).
fof(f220702,definition,
( spl0_9407
<=> ! [X0] : and(X0,t4) = and(t4,and(X0,t7)) ),
introduced(definition,[new_symbols(definition,[spl0_9407])],[avatar_definition]) ).
fof(f220703,plain,
( ! [X0] : and(X0,t4) = and(t4,and(X0,t7))
| ~ spl0_9407 ),
inference(avatar_component_clause,[],[f220702]) ).
fof(f220704,plain,
( spl0_9407
| ~ spl0_35
| ~ spl0_5745 ),
inference(avatar_split_clause,[],[f220556,f136904,f198,f220702]) ).
fof(f223581,plain,
( and(t2,not(b)) = and(t1,not(t4))
| ~ spl0_3679
| ~ spl0_8295 ),
inference(superposition,[],[f89471,f194746]) ).
fof(f223699,definition,
( spl0_9547
<=> and(t2,not(b)) = and(t1,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_9547])],[avatar_definition]) ).
fof(f223701,plain,
( and(t2,not(b)) = and(t1,not(t4))
| ~ spl0_9547 ),
inference(avatar_component_clause,[],[f223699]) ).
fof(f223702,plain,
( spl0_9547
| ~ spl0_3679
| ~ spl0_8295 ),
inference(avatar_split_clause,[],[f223581,f194744,f89469,f223699]) ).
fof(f232537,plain,
( and(t6,t4) = and(t4,not(sum))
| ~ spl0_38
| ~ spl0_9407 ),
inference(superposition,[],[f220703,f217]) ).
fof(f232651,plain,
( and(t4,t6) = and(t4,not(sum))
| ~ spl0_35
| ~ spl0_38
| ~ spl0_9407 ),
inference(forward_demodulation,[],[f232537,f199]) ).
fof(f232684,definition,
( spl0_9828
<=> and(t4,t6) = and(t4,not(sum)) ),
introduced(definition,[new_symbols(definition,[spl0_9828])],[avatar_definition]) ).
fof(f232686,plain,
( and(t4,t6) = and(t4,not(sum))
| ~ spl0_9828 ),
inference(avatar_component_clause,[],[f232684]) ).
fof(f232687,plain,
( spl0_9828
| ~ spl0_35
| ~ spl0_38
| ~ spl0_9407 ),
inference(avatar_split_clause,[],[f232651,f220702,f215,f198,f232684]) ).
fof(f232723,plain,
( not(and(t4,t6)) = or(sum,not(t4))
| ~ spl0_176
| ~ spl0_9828 ),
inference(superposition,[],[f2016,f232686]) ).
fof(f232763,definition,
( spl0_9831
<=> not(and(t4,t6)) = or(sum,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_9831])],[avatar_definition]) ).
fof(f232765,plain,
( not(and(t4,t6)) = or(sum,not(t4))
| ~ spl0_9831 ),
inference(avatar_component_clause,[],[f232763]) ).
fof(f232766,plain,
( spl0_9831
| ~ spl0_176
| ~ spl0_9828 ),
inference(avatar_split_clause,[],[f232723,f232684,f2015,f232763]) ).
fof(f244559,plain,
( or(not(t4),sum) = or(not(t4),not(and(t4,t6)))
| ~ spl0_79
| ~ spl0_9831 ),
inference(superposition,[],[f605,f232765]) ).
fof(f244601,plain,
( or(not(t4),sum) = not(and(t4,and(t4,t6)))
| ~ spl0_16
| ~ spl0_79
| ~ spl0_9831 ),
inference(forward_demodulation,[],[f244559,f121]) ).
fof(f244642,plain,
( not(and(not(t5),t4)) = or(not(t4),sum)
| ~ spl0_16
| ~ spl0_79
| ~ spl0_6400
| ~ spl0_9831 ),
inference(forward_demodulation,[],[f244601,f148632]) ).
fof(f244652,plain,
( not(and(not(t5),t4)) = or(sum,not(t4))
| ~ spl0_16
| ~ spl0_36
| ~ spl0_79
| ~ spl0_6400
| ~ spl0_9831 ),
inference(forward_demodulation,[],[f244642,f203]) ).
fof(f244657,plain,
( not(and(not(t5),t4)) = not(and(t4,t6))
| ~ spl0_16
| ~ spl0_36
| ~ spl0_79
| ~ spl0_6400
| ~ spl0_9831 ),
inference(forward_demodulation,[],[f244652,f232765]) ).
fof(f244661,definition,
( spl0_10305
<=> t5 = not(and(t4,t6)) ),
introduced(definition,[new_symbols(definition,[spl0_10305])],[avatar_definition]) ).
fof(f244663,plain,
( t5 = not(and(t4,t6))
| ~ spl0_10305 ),
inference(avatar_component_clause,[],[f244661]) ).
fof(f244665,plain,
( or(t5,not(t4)) = not(and(t4,t6))
| ~ spl0_16
| ~ spl0_36
| ~ spl0_79
| ~ spl0_121
| ~ spl0_6400
| ~ spl0_9831 ),
inference(forward_demodulation,[],[f244657,f1477]) ).
fof(f244666,plain,
( t5 = not(and(t4,t6))
| ~ spl0_16
| ~ spl0_36
| ~ spl0_79
| ~ spl0_121
| ~ spl0_196
| ~ spl0_6400
| ~ spl0_9831 ),
inference(forward_demodulation,[],[f244665,f2278]) ).
fof(f244667,plain,
( spl0_10305
| ~ spl0_16
| ~ spl0_36
| ~ spl0_79
| ~ spl0_121
| ~ spl0_196
| ~ spl0_6400
| ~ spl0_9831 ),
inference(avatar_split_clause,[],[f244666,f232763,f148631,f2276,f1476,f604,f202,f120,f244661]) ).
fof(f271656,plain,
( and(not(t7),not(t4)) = and(cin,not(t4))
| ~ spl0_216
| ~ spl0_419 ),
inference(superposition,[],[f7063,f2420]) ).
fof(f271855,plain,
( not(or(t7,t4)) = and(cin,not(t4))
| ~ spl0_17
| ~ spl0_216
| ~ spl0_419 ),
inference(forward_demodulation,[],[f271656,f125]) ).
fof(f271932,plain,
( not(or(t4,t7)) = and(cin,not(t4))
| ~ spl0_17
| ~ spl0_156
| ~ spl0_216
| ~ spl0_419 ),
inference(forward_demodulation,[],[f271855,f1805]) ).
fof(f271986,plain,
( not(t7) = and(cin,not(t4))
| ~ spl0_17
| ~ spl0_156
| ~ spl0_216
| ~ spl0_419
| ~ spl0_3905 ),
inference(forward_demodulation,[],[f271932,f93670]) ).
fof(f272023,definition,
( spl0_11489
<=> not(t7) = and(cin,not(t4)) ),
introduced(definition,[new_symbols(definition,[spl0_11489])],[avatar_definition]) ).
fof(f272025,plain,
( not(t7) = and(cin,not(t4))
| ~ spl0_11489 ),
inference(avatar_component_clause,[],[f272023]) ).
fof(f272026,plain,
( spl0_11489
| ~ spl0_17
| ~ spl0_156
| ~ spl0_216
| ~ spl0_419
| ~ spl0_3905 ),
inference(avatar_split_clause,[],[f271986,f93668,f7062,f2418,f1804,f124,f272023]) ).
fof(f272095,plain,
( ! [X0] : and(not(t7),X0) = and(not(t4),and(cin,X0))
| ~ spl0_435
| ~ spl0_11489 ),
inference(superposition,[],[f7141,f272025]) ).
fof(f272105,plain,
( ! [X0] : and(not(t7),X0) = and(cin,and(X0,not(t4)))
| ~ spl0_384
| ~ spl0_435
| ~ spl0_11489 ),
inference(forward_demodulation,[],[f272095,f6906]) ).
fof(f272137,definition,
( spl0_11493
<=> ! [X0] : and(not(t7),X0) = and(cin,and(X0,not(t4))) ),
introduced(definition,[new_symbols(definition,[spl0_11493])],[avatar_definition]) ).
fof(f272138,plain,
( ! [X0] : and(not(t7),X0) = and(cin,and(X0,not(t4)))
| ~ spl0_11493 ),
inference(avatar_component_clause,[],[f272137]) ).
fof(f272139,plain,
( spl0_11493
| ~ spl0_384
| ~ spl0_435
| ~ spl0_11489 ),
inference(avatar_split_clause,[],[f272105,f272023,f7140,f6905,f272137]) ).
fof(f296879,plain,
( ! [X0] : or(carry,and(not(t4),X0)) = and(or(carry,X0),or(t6,carry))
| ~ spl0_899
| ~ spl0_3712 ),
inference(superposition,[],[f18130,f89978]) ).
fof(f297013,plain,
( ! [X0] : or(carry,and(not(t4),X0)) = or(carry,and(X0,t6))
| ~ spl0_899
| ~ spl0_902
| ~ spl0_3712 ),
inference(forward_demodulation,[],[f296879,f18319]) ).
fof(f299287,plain,
( ! [X0] : or(carry,and(X0,t6)) = and(t6,or(carry,X0))
| ~ spl0_899
| ~ spl0_902
| ~ spl0_3712
| ~ spl0_4379 ),
inference(forward_demodulation,[],[f297013,f103229]) ).
fof(f300239,definition,
( spl0_12220
<=> ! [X0] : or(carry,and(X0,t6)) = and(t6,or(carry,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_12220])],[avatar_definition]) ).
fof(f300240,plain,
( ! [X0] : or(carry,and(X0,t6)) = and(t6,or(carry,X0))
| ~ spl0_12220 ),
inference(avatar_component_clause,[],[f300239]) ).
fof(f300241,plain,
( spl0_12220
| ~ spl0_899
| ~ spl0_902
| ~ spl0_3712
| ~ spl0_4379 ),
inference(avatar_split_clause,[],[f299287,f103228,f89976,f18318,f18129,f300239]) ).
fof(f308119,plain,
( ! [X0] : or(cin,not(X0)) = or(cin,not(and(t7,X0)))
| ~ spl0_16
| ~ spl0_736 ),
inference(superposition,[],[f12784,f121]) ).
fof(f308317,definition,
( spl0_12499
<=> ! [X0] : or(cin,not(X0)) = or(cin,not(and(t7,X0))) ),
introduced(definition,[new_symbols(definition,[spl0_12499])],[avatar_definition]) ).
fof(f308318,plain,
( ! [X0] : or(cin,not(X0)) = or(cin,not(and(t7,X0)))
| ~ spl0_12499 ),
inference(avatar_component_clause,[],[f308317]) ).
fof(f308319,plain,
( spl0_12499
| ~ spl0_16
| ~ spl0_736 ),
inference(avatar_split_clause,[],[f308119,f12783,f120,f308317]) ).
fof(f318619,plain,
( ! [X0] : or(carry,and(not(and(t4,t6)),X0)) = and(ll1,or(X0,carry))
| ~ spl0_902
| ~ spl0_3833 ),
inference(superposition,[],[f18319,f92326]) ).
fof(f319105,plain,
( ! [X0] : and(or(t3,X0),ll1) = or(t3,and(X0,t1))
| ~ spl0_365
| ~ spl0_902 ),
inference(superposition,[],[f18319,f5647]) ).
fof(f319622,plain,
( ! [X0] : and(or(sum,X0),ll1) = or(sum,and(X0,t6))
| ~ spl0_555
| ~ spl0_902 ),
inference(superposition,[],[f18319,f9200]) ).
fof(f320091,plain,
( ! [X0] : or(sum,X0) = or(sum,and(X0,t6))
| ~ spl0_31
| ~ spl0_555
| ~ spl0_902 ),
inference(forward_demodulation,[],[f319622,f183]) ).
fof(f320608,plain,
( ! [X0] : or(t3,X0) = or(t3,and(X0,t1))
| ~ spl0_31
| ~ spl0_365
| ~ spl0_902 ),
inference(forward_demodulation,[],[f319105,f183]) ).
fof(f321112,plain,
( ! [X0] : or(X0,carry) = or(carry,and(not(and(t4,t6)),X0))
| ~ spl0_64
| ~ spl0_902
| ~ spl0_3833 ),
inference(forward_demodulation,[],[f318619,f470]) ).
fof(f322781,definition,
( spl0_12795
<=> ! [X0] : or(sum,X0) = or(sum,and(X0,t6)) ),
introduced(definition,[new_symbols(definition,[spl0_12795])],[avatar_definition]) ).
fof(f322782,plain,
( ! [X0] : or(sum,X0) = or(sum,and(X0,t6))
| ~ spl0_12795 ),
inference(avatar_component_clause,[],[f322781]) ).
fof(f322783,plain,
( spl0_12795
| ~ spl0_31
| ~ spl0_555
| ~ spl0_902 ),
inference(avatar_split_clause,[],[f320091,f18318,f9198,f182,f322781]) ).
fof(f324249,definition,
( spl0_13113
<=> ! [X0] : or(t3,X0) = or(t3,and(X0,t1)) ),
introduced(definition,[new_symbols(definition,[spl0_13113])],[avatar_definition]) ).
fof(f324250,plain,
( ! [X0] : or(t3,X0) = or(t3,and(X0,t1))
| ~ spl0_13113 ),
inference(avatar_component_clause,[],[f324249]) ).
fof(f324251,plain,
( spl0_13113
| ~ spl0_31
| ~ spl0_365
| ~ spl0_902 ),
inference(avatar_split_clause,[],[f320608,f18318,f5645,f182,f324249]) ).
fof(f325290,plain,
( ! [X0] : or(X0,carry) = or(carry,and(t5,X0))
| ~ spl0_64
| ~ spl0_902
| ~ spl0_3833
| ~ spl0_10305 ),
inference(forward_demodulation,[],[f321112,f244663]) ).
fof(f327587,definition,
( spl0_13630
<=> ! [X0] : or(X0,carry) = or(carry,and(t5,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_13630])],[avatar_definition]) ).
fof(f327588,plain,
( ! [X0] : or(X0,carry) = or(carry,and(t5,X0))
| ~ spl0_13630 ),
inference(avatar_component_clause,[],[f327587]) ).
fof(f327589,plain,
( spl0_13630
| ~ spl0_64
| ~ spl0_902
| ~ spl0_3833
| ~ spl0_10305 ),
inference(avatar_split_clause,[],[f325290,f244661,f92324,f18318,f469,f327587]) ).
fof(f330116,plain,
( or(t3,a) = or(t3,not(t2))
| ~ spl0_44
| ~ spl0_13113 ),
inference(superposition,[],[f324250,f256]) ).
fof(f330207,plain,
( t3 = or(t3,a)
| ~ spl0_44
| ~ spl0_5586
| ~ spl0_13113 ),
inference(forward_demodulation,[],[f330116,f134249]) ).
fof(f330241,plain,
( t3 = or(a,t3)
| ~ spl0_36
| ~ spl0_44
| ~ spl0_5586
| ~ spl0_13113 ),
inference(forward_demodulation,[],[f330207,f203]) ).
fof(f330258,definition,
( spl0_13970
<=> t3 = or(a,t3) ),
introduced(definition,[new_symbols(definition,[spl0_13970])],[avatar_definition]) ).
fof(f330260,plain,
( t3 = or(a,t3)
| ~ spl0_13970 ),
inference(avatar_component_clause,[],[f330258]) ).
fof(f330261,plain,
( spl0_13970
| ~ spl0_36
| ~ spl0_44
| ~ spl0_5586
| ~ spl0_13113 ),
inference(avatar_split_clause,[],[f330241,f324249,f134247,f254,f202,f330258]) ).
fof(f330264,plain,
( not(t3) = and(b,not(a))
| ~ spl0_4712
| ~ spl0_13970 ),
inference(superposition,[],[f110313,f330260]) ).
fof(f330369,definition,
( spl0_13980
<=> not(t3) = and(b,not(a)) ),
introduced(definition,[new_symbols(definition,[spl0_13980])],[avatar_definition]) ).
fof(f330371,plain,
( not(t3) = and(b,not(a))
| ~ spl0_13980 ),
inference(avatar_component_clause,[],[f330369]) ).
fof(f330372,plain,
( spl0_13980
| ~ spl0_4712
| ~ spl0_13970 ),
inference(avatar_split_clause,[],[f330264,f330258,f110311,f330369]) ).
fof(f342087,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(and(not(or(and(not(a),b),and(a,not(b)))),cin),X0))
| ~ spl0_13
| ~ spl0_904 ),
inference(superposition,[],[f18504,f109]) ).
fof(f343267,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(or(X0,and(not(or(and(not(a),b),and(a,not(b)))),cin)),sum_def)
| ~ spl0_13
| ~ spl0_904 ),
inference(superposition,[],[f18504,f109]) ).
fof(f345795,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(not(or(and(not(a),b),and(a,not(b)))),cin)))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_904 ),
inference(forward_demodulation,[],[f343267,f199]) ).
fof(f348329,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(not(or(and(not(a),b),and(a,not(b)))),and(cin,X0)))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_904 ),
inference(forward_demodulation,[],[f342087,f191]) ).
fof(f349372,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(or(and(not(a),b),and(a,not(b)))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_904
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f345795,f19762]) ).
fof(f350269,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(or(and(not(a),b),and(a,not(b)))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_384
| ~ spl0_904 ),
inference(forward_demodulation,[],[f348329,f6906]) ).
fof(f350355,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(or(and(a,not(b)),and(not(a),b))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f349372,f3920]) ).
fof(f350871,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(or(and(a,not(b)),and(not(a),b))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904 ),
inference(forward_demodulation,[],[f350269,f3920]) ).
fof(f350900,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(or(and(a,not(b)),and(b,not(a)))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_148
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f350355,f1767]) ).
fof(f351471,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(or(and(a,not(b)),and(b,not(a)))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_148
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904 ),
inference(forward_demodulation,[],[f350871,f1767]) ).
fof(f351496,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,and(not(and(a,not(b))),or(not(b),a)))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_148
| ~ spl0_180
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203 ),
inference(forward_demodulation,[],[f350900,f2138]) ).
fof(f351669,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,and(not(and(a,not(b))),or(not(b),a)))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_148
| ~ spl0_180
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904 ),
inference(forward_demodulation,[],[f351471,f2138]) ).
fof(f351677,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,and(or(not(b),a),not(and(a,not(b)))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_148
| ~ spl0_180
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351496,f39841]) ).
fof(f351889,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,and(or(not(b),a),not(and(a,not(b)))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_148
| ~ spl0_180
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351669,f39841]) ).
fof(f351893,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,and(or(a,not(b)),not(and(a,not(b)))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351677,f3711]) ).
fof(f351937,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,and(or(a,not(b)),not(and(a,not(b)))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351889,f3711]) ).
fof(f351941,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,and(or(a,not(b)),or(not(a),b)))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351893,f1462]) ).
fof(f351984,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,and(or(a,not(b)),or(not(a),b)))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351937,f1462]) ).
fof(f351991,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,and(or(a,not(b)),or(b,not(a))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351941,f25563]) ).
fof(f352001,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,and(or(a,not(b)),or(b,not(a))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2335 ),
inference(forward_demodulation,[],[f351984,f25563]) ).
fof(f352004,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,or(and(b,a),not(or(b,a))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2335
| ~ spl0_2557 ),
inference(forward_demodulation,[],[f351991,f49731]) ).
fof(f352009,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,or(and(b,a),not(or(b,a))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2335
| ~ spl0_2557 ),
inference(forward_demodulation,[],[f352001,f49731]) ).
fof(f352012,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,or(and(a,b),not(or(b,a))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2335
| ~ spl0_2557 ),
inference(forward_demodulation,[],[f352004,f3149]) ).
fof(f352015,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,or(and(a,b),not(or(b,a))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2335
| ~ spl0_2557 ),
inference(forward_demodulation,[],[f352009,f3149]) ).
fof(f352018,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,or(and(a,b),not(or(a,b))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557 ),
inference(forward_demodulation,[],[f352012,f31733]) ).
fof(f352021,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,or(and(a,b),not(or(a,b))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557 ),
inference(forward_demodulation,[],[f352015,f31733]) ).
fof(f352024,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,or(and(a,b),and(t2,not(b))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679 ),
inference(forward_demodulation,[],[f352018,f89471]) ).
fof(f352030,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,or(and(a,b),and(t2,not(b))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679 ),
inference(forward_demodulation,[],[f352021,f89471]) ).
fof(f352033,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,or(and(a,b),and(t1,not(t4))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352024,f223701]) ).
fof(f352038,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,or(and(a,b),and(t1,not(t4))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352030,f223701]) ).
fof(f352044,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,or(not(t1),and(t1,not(t4))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352033,f262]) ).
fof(f352045,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,or(not(t1),and(t1,not(t4))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352038,f262]) ).
fof(f352050,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(and(t1,or(not(t1),t4))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352044,f2187]) ).
fof(f352051,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(and(t1,or(not(t1),t4))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352045,f2187]) ).
fof(f352052,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(and(t1,or(t4,not(t1)))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352050,f1920]) ).
fof(f352053,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(and(t1,or(t4,not(t1)))))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352051,f1920]) ).
fof(f352054,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(and(t1,t4)))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352052,f25354]) ).
fof(f352055,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(and(t1,t4)))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352053,f25354]) ).
fof(f352056,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,and(cin,not(t4))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352054,f69110]) ).
fof(f352057,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(cin,and(X0,not(t4))))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547 ),
inference(forward_demodulation,[],[f352055,f69110]) ).
fof(f352058,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(or(and(not(a),b),and(a,not(b))),not(cin)))) = and(sum_def,or(X0,not(t7)))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489 ),
inference(forward_demodulation,[],[f352056,f272025]) ).
fof(f352059,plain,
( ! [X0] : and(sum_def,or(and(or(and(not(a),b),and(a,not(b))),not(cin)),X0)) = or(and(or(and(not(a),b),and(a,not(b))),not(cin)),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493 ),
inference(forward_demodulation,[],[f352057,f272138]) ).
fof(f352060,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),or(and(not(a),b),and(a,not(b)))))) = and(sum_def,or(X0,not(t7)))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489 ),
inference(forward_demodulation,[],[f352058,f39841]) ).
fof(f352061,plain,
( ! [X0] : and(sum_def,or(and(or(and(a,not(b)),and(not(a),b)),not(cin)),X0)) = or(and(or(and(a,not(b)),and(not(a),b)),not(cin)),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493 ),
inference(forward_demodulation,[],[f352059,f3711]) ).
fof(f352062,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),or(and(a,not(b)),and(not(a),b))))) = and(sum_def,or(X0,not(t7)))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489 ),
inference(forward_demodulation,[],[f352060,f3535]) ).
fof(f352063,plain,
( ! [X0] : and(sum_def,or(and(not(cin),or(and(not(a),b),and(a,not(b)))),X0)) = or(and(not(cin),or(and(not(a),b),and(a,not(b)))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493 ),
inference(forward_demodulation,[],[f352061,f4304]) ).
fof(f352064,plain,
( ! [X0] : or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),or(and(a,not(b)),and(b,not(a)))))) = and(sum_def,or(X0,not(t7)))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489 ),
inference(forward_demodulation,[],[f352062,f19762]) ).
fof(f352065,plain,
( ! [X0] : and(sum_def,or(and(not(cin),or(and(a,not(b)),and(not(a),b))),X0)) = or(and(not(cin),or(and(a,not(b)),and(not(a),b))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493 ),
inference(forward_demodulation,[],[f352063,f3535]) ).
fof(f352066,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),or(and(a,not(b)),not(t3)))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352064,f330371]) ).
fof(f352067,plain,
( ! [X0] : and(sum_def,or(and(not(cin),or(and(a,not(b)),and(b,not(a)))),X0)) = or(and(not(cin),or(and(a,not(b)),and(b,not(a)))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493 ),
inference(forward_demodulation,[],[f352065,f19762]) ).
fof(f352068,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),or(not(t3),and(a,not(b))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352066,f3535]) ).
fof(f352069,plain,
( ! [X0] : and(sum_def,or(and(not(cin),or(and(a,not(b)),not(t3))),X0)) = or(and(not(cin),or(and(a,not(b)),not(t3))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352067,f330371]) ).
fof(f352070,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),not(and(t3,or(not(a),b))))))
| ~ spl0_13
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352068,f2187]) ).
fof(f352071,plain,
( ! [X0] : and(sum_def,or(and(not(cin),or(not(t3),and(a,not(b)))),X0)) = or(and(not(cin),or(not(t3),and(a,not(b)))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352069,f3535]) ).
fof(f352072,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(or(cin,and(t3,or(not(a),b))))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352070,f125]) ).
fof(f352073,plain,
( ! [X0] : and(sum_def,or(and(not(cin),not(and(t3,or(not(a),b)))),X0)) = or(and(not(cin),not(and(t3,or(not(a),b)))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352071,f2187]) ).
fof(f352074,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(or(cin,and(t3,or(b,not(a)))))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352072,f25563]) ).
fof(f352075,plain,
( ! [X0] : and(sum_def,or(not(or(cin,and(t3,or(not(a),b)))),X0)) = or(not(or(cin,and(t3,or(not(a),b)))),and(not(t7),X0))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352073,f125]) ).
fof(f352076,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(or(cin,and(t3,or(b,t2))))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352074,f125169]) ).
fof(f352077,plain,
( ! [X0] : and(sum_def,or(not(or(cin,and(t3,or(not(a),b)))),X0)) = not(and(or(cin,and(t3,or(not(a),b))),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352075,f3078]) ).
fof(f352078,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(or(cin,and(t3,t2)))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352076,f134180]) ).
fof(f352079,plain,
( ! [X0] : and(sum_def,or(not(or(cin,and(t3,or(b,not(a))))),X0)) = not(and(or(cin,and(t3,or(b,not(a)))),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352077,f25563]) ).
fof(f352080,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(or(cin,and(t2,t3)))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352078,f1767]) ).
fof(f352081,plain,
( ! [X0] : and(sum_def,or(not(or(cin,and(t3,or(b,t2)))),X0)) = not(and(or(cin,and(t3,or(b,t2))),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352079,f125169]) ).
fof(f352082,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(or(cin,not(t4)))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352080,f244]) ).
fof(f352083,plain,
( ! [X0] : and(sum_def,or(not(or(cin,and(t3,t2))),X0)) = not(and(or(cin,and(t3,t2)),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352081,f134180]) ).
fof(f352084,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(not(cin),t4)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352082,f1719]) ).
fof(f352085,plain,
( ! [X0] : and(sum_def,or(not(or(cin,and(t2,t3))),X0)) = not(and(or(cin,and(t2,t3)),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352083,f19762]) ).
fof(f352086,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,and(t4,not(cin))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352084,f39841]) ).
fof(f352087,plain,
( ! [X0] : and(sum_def,or(not(or(cin,not(t4))),X0)) = not(and(or(cin,not(t4)),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352085,f244]) ).
fof(f352088,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352086,f93614]) ).
fof(f352089,plain,
( ! [X0] : and(sum_def,or(not(or(cin,t6)),X0)) = not(and(or(cin,t6),or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3715
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352087,f90017]) ).
fof(f352090,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(or(and(not(a),b),and(a,not(b))))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352088,f199]) ).
fof(f352091,plain,
( ! [X0] : and(sum_def,or(not(t6),X0)) = not(and(t6,or(t7,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3715
| ~ spl0_3893
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352089,f93544]) ).
fof(f352092,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(or(and(a,not(b)),and(not(a),b)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352090,f3920]) ).
fof(f352094,definition,
( spl0_15247
<=> ! [X0] : and(sum_def,or(not(t6),X0)) = not(and(t6,or(t7,not(X0)))) ),
introduced(definition,[new_symbols(definition,[spl0_15247])],[avatar_definition]) ).
fof(f352095,plain,
( ! [X0] : and(sum_def,or(not(t6),X0)) = not(and(t6,or(t7,not(X0))))
| ~ spl0_15247 ),
inference(avatar_component_clause,[],[f352094]) ).
fof(f352096,plain,
( spl0_15247
| ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3715
| ~ spl0_3893
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980 ),
inference(avatar_split_clause,[],[f352091,f330369,f272137,f223699,f134178,f125167,f93542,f90015,f89469,f69108,f49730,f39840,f31732,f25562,f25353,f19761,f18503,f6905,f4303,f3919,f3710,f3534,f3148,f3077,f2186,f2137,f1919,f1766,f1461,f260,f242,f190,f124,f107,f352094]) ).
fof(f352097,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(or(and(a,not(b)),and(b,not(a))))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352092,f1767]) ).
fof(f352098,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,and(not(and(a,not(b))),or(not(b),a))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352097,f2138]) ).
fof(f352099,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,and(or(not(b),a),not(and(a,not(b))))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352098,f39841]) ).
fof(f352100,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,and(or(a,not(b)),not(and(a,not(b))))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352099,f3711]) ).
fof(f352101,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,and(or(a,not(b)),or(not(a),b))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352100,f1462]) ).
fof(f352102,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,and(or(a,not(b)),or(b,not(a)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352101,f25563]) ).
fof(f352103,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,or(and(b,a),not(or(b,a)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352102,f49731]) ).
fof(f352104,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,or(and(a,b),not(or(b,a)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352103,f3149]) ).
fof(f352105,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,or(and(a,b),not(or(a,b)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352104,f31733]) ).
fof(f352106,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,or(and(a,b),and(t2,not(b)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352105,f89471]) ).
fof(f352107,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,or(and(a,b),and(t1,not(t4)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352106,f223701]) ).
fof(f352108,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,or(not(t1),and(t1,not(t4)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352107,f262]) ).
fof(f352109,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(and(t1,or(not(t1),t4)))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352108,f2187]) ).
fof(f352110,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(and(t1,or(t4,not(t1))))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352109,f1920]) ).
fof(f352111,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(and(t1,t4))),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352110,f25354]) ).
fof(f352112,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(and(cin,not(t4)),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352111,f69110]) ).
fof(f352113,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = or(not(t7),and(X0,not(t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352112,f272025]) ).
fof(f352114,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = not(and(t7,or(not(X0),t6)))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352113,f2187]) ).
fof(f352115,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = not(and(t7,or(t6,not(X0))))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(forward_demodulation,[],[f352114,f1920]) ).
fof(f352117,definition,
( spl0_15248
<=> ! [X0] : and(sum_def,or(X0,not(t7))) = not(and(t7,or(t6,not(X0)))) ),
introduced(definition,[new_symbols(definition,[spl0_15248])],[avatar_definition]) ).
fof(f352118,plain,
( ! [X0] : and(sum_def,or(X0,not(t7))) = not(and(t7,or(t6,not(X0))))
| ~ spl0_15248 ),
inference(avatar_component_clause,[],[f352117]) ).
fof(f352119,plain,
( spl0_15248
| ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980 ),
inference(avatar_split_clause,[],[f352115,f330369,f272023,f223699,f134178,f125167,f93612,f89469,f69108,f49730,f39840,f31732,f25562,f25353,f19761,f18503,f3919,f3710,f3534,f3148,f2186,f2137,f1919,f1766,f1718,f1461,f260,f242,f198,f124,f107,f352117]) ).
fof(f360437,plain,
( or(carry,ll0) = or(and(t4,t6),carry)
| ~ spl0_112
| ~ spl0_13630 ),
inference(superposition,[],[f327588,f1082]) ).
fof(f360624,plain,
( or(carry,ll0) = or(carry,and(t4,t6))
| ~ spl0_36
| ~ spl0_112
| ~ spl0_13630 ),
inference(forward_demodulation,[],[f360437,f203]) ).
fof(f360688,plain,
( or(carry,ll0) = and(t6,or(carry,t4))
| ~ spl0_36
| ~ spl0_112
| ~ spl0_12220
| ~ spl0_13630 ),
inference(forward_demodulation,[],[f360624,f300240]) ).
fof(f360739,plain,
( or(carry,ll0) = and(t6,or(t4,carry))
| ~ spl0_36
| ~ spl0_112
| ~ spl0_1716
| ~ spl0_12220
| ~ spl0_13630 ),
inference(forward_demodulation,[],[f360688,f25563]) ).
fof(f360762,plain,
( or(carry,ll0) = and(t6,or(a,t4))
| ~ spl0_36
| ~ spl0_112
| ~ spl0_1716
| ~ spl0_4364
| ~ spl0_12220
| ~ spl0_13630 ),
inference(forward_demodulation,[],[f360739,f103005]) ).
fof(f360769,plain,
( or(carry,ll0) = and(t6,or(a,b))
| ~ spl0_36
| ~ spl0_112
| ~ spl0_1716
| ~ spl0_4364
| ~ spl0_5010
| ~ spl0_12220
| ~ spl0_13630 ),
inference(forward_demodulation,[],[f360762,f115672]) ).
fof(f360779,plain,
( carry = and(t6,or(a,b))
| ~ spl0_32
| ~ spl0_36
| ~ spl0_112
| ~ spl0_1716
| ~ spl0_4364
| ~ spl0_5010
| ~ spl0_12220
| ~ spl0_13630 ),
inference(forward_demodulation,[],[f360769,f187]) ).
fof(f360783,definition,
( spl0_15539
<=> carry = and(t6,or(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_15539])],[avatar_definition]) ).
fof(f360785,plain,
( carry = and(t6,or(a,b))
| ~ spl0_15539 ),
inference(avatar_component_clause,[],[f360783]) ).
fof(f360786,plain,
( spl0_15539
| ~ spl0_32
| ~ spl0_36
| ~ spl0_112
| ~ spl0_1716
| ~ spl0_4364
| ~ spl0_5010
| ~ spl0_12220
| ~ spl0_13630 ),
inference(avatar_split_clause,[],[f360779,f327587,f300239,f115670,f103003,f25562,f1080,f202,f186,f360783]) ).
fof(f360802,plain,
( and(cin,or(a,b)) = and(cin,carry)
| ~ spl0_3903
| ~ spl0_15539 ),
inference(superposition,[],[f93653,f360785]) ).
fof(f360870,definition,
( spl0_15543
<=> and(cin,or(a,b)) = and(cin,carry) ),
introduced(definition,[new_symbols(definition,[spl0_15543])],[avatar_definition]) ).
fof(f360872,plain,
( and(cin,or(a,b)) = and(cin,carry)
| ~ spl0_15543 ),
inference(avatar_component_clause,[],[f360870]) ).
fof(f360873,plain,
( spl0_15543
| ~ spl0_3903
| ~ spl0_15539 ),
inference(avatar_split_clause,[],[f360802,f360783,f93652,f360870]) ).
fof(f403414,plain,
( carry_def = or(and(cin,carry),and(not(cin),and(a,b)))
| ~ spl0_12
| ~ spl0_15543 ),
inference(superposition,[],[f104,f360872]) ).
fof(f403481,plain,
( carry_def = or(and(cin,carry),and(b,and(a,not(cin))))
| ~ spl0_12
| ~ spl0_312
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403414,f4316]) ).
fof(f403525,plain,
( carry_def = or(and(cin,carry),and(a,and(b,not(cin))))
| ~ spl0_12
| ~ spl0_280
| ~ spl0_312
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403481,f3729]) ).
fof(f403545,plain,
( carry_def = or(and(cin,carry),not(or(t1,cin)))
| ~ spl0_12
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403525,f3699]) ).
fof(f403553,plain,
( carry_def = or(and(cin,carry),not(or(cin,t1)))
| ~ spl0_12
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403545,f1805]) ).
fof(f403558,plain,
( carry_def = or(and(cin,carry),and(carry,not(cin)))
| ~ spl0_12
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403553,f89347]) ).
fof(f403561,plain,
( carry_def = and(carry,or(and(cin,carry),not(cin)))
| ~ spl0_12
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403558,f24989]) ).
fof(f403564,plain,
( carry_def = and(carry,or(not(cin),and(cin,carry)))
| ~ spl0_12
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403561,f25563]) ).
fof(f403566,plain,
( carry_def = and(carry,or(not(cin),cin))
| ~ spl0_12
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403564,f25375]) ).
fof(f403567,plain,
( carry_def = and(carry,or(cin,not(cin)))
| ~ spl0_12
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403566,f25563]) ).
fof(f403568,plain,
( carry_def = and(carry,ll1)
| ~ spl0_12
| ~ spl0_28
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403567,f171]) ).
fof(f403569,plain,
( carry_def = carry
| ~ spl0_12
| ~ spl0_28
| ~ spl0_31
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_demodulation,[],[f403568,f183]) ).
fof(f403570,plain,
( $false
| spl0_1
| ~ spl0_12
| ~ spl0_28
| ~ spl0_31
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(forward_subsumption_resolution,[],[f403569,f50]) ).
fof(f403571,plain,
( spl0_1
| ~ spl0_12
| ~ spl0_28
| ~ spl0_31
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(avatar_contradiction_clause,[],[f403570]) ).
fof(f459718,plain,
( not(t7) = or(not(t7),and(not(t6),or(t6,not(t7))))
| ~ spl0_2593
| ~ spl0_3901 ),
inference(superposition,[],[f50916,f93624]) ).
fof(f459730,plain,
( not(t6) = or(not(t6),and(not(t7),or(t7,not(t6))))
| ~ spl0_2593
| ~ spl0_3914 ),
inference(superposition,[],[f50916,f93764]) ).
fof(f461345,plain,
( not(t6) = not(and(t6,or(t7,not(or(t7,not(t6))))))
| ~ spl0_235
| ~ spl0_2593
| ~ spl0_3914 ),
inference(forward_demodulation,[],[f459730,f3078]) ).
fof(f461357,plain,
( not(t7) = not(and(t7,or(t6,not(or(t6,not(t7))))))
| ~ spl0_235
| ~ spl0_2593
| ~ spl0_3901 ),
inference(forward_demodulation,[],[f459718,f3078]) ).
fof(f462304,plain,
( not(t6) = and(sum_def,or(not(t6),or(t7,not(t6))))
| ~ spl0_235
| ~ spl0_2593
| ~ spl0_3914
| ~ spl0_15247 ),
inference(forward_demodulation,[],[f461345,f352095]) ).
fof(f462316,plain,
( not(t7) = and(sum_def,or(or(t6,not(t7)),not(t7)))
| ~ spl0_235
| ~ spl0_2593
| ~ spl0_3901
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f461357,f352118]) ).
fof(f463036,plain,
( not(t6) = and(sum_def,not(and(t6,and(t6,not(t7)))))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_2593
| ~ spl0_3914
| ~ spl0_15247 ),
inference(forward_demodulation,[],[f462304,f2195]) ).
fof(f463047,plain,
( not(t7) = and(sum_def,or(not(t7),or(t6,not(t7))))
| ~ spl0_235
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3901
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f462316,f25563]) ).
fof(f463705,plain,
( not(t6) = and(sum_def,or(t7,not(and(t6,t6))))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_2593
| ~ spl0_3914
| ~ spl0_15247 ),
inference(forward_demodulation,[],[f463036,f3163]) ).
fof(f463716,plain,
( not(t7) = and(sum_def,not(and(t7,and(t7,not(t6)))))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3901
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f463047,f2195]) ).
fof(f464281,plain,
( not(t6) = and(sum_def,or(t7,not(t6)))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_2593
| ~ spl0_3914
| ~ spl0_7239
| ~ spl0_15247 ),
inference(forward_demodulation,[],[f463705,f172398]) ).
fof(f464291,plain,
( not(t7) = and(sum_def,or(t6,not(and(t7,t7))))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3901
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f463716,f3163]) ).
fof(f464748,plain,
( not(t6) = and(sum_def,or(t4,t7))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_2593
| ~ spl0_3743
| ~ spl0_3914
| ~ spl0_7239
| ~ spl0_15247 ),
inference(forward_demodulation,[],[f464281,f90458]) ).
fof(f464754,plain,
( not(t7) = and(sum_def,or(cin,not(and(t7,t4))))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3901
| ~ spl0_6487
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f464291,f153047]) ).
fof(f465118,plain,
( not(t6) = and(sum_def,t7)
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_2593
| ~ spl0_3743
| ~ spl0_3905
| ~ spl0_3914
| ~ spl0_7239
| ~ spl0_15247 ),
inference(forward_demodulation,[],[f464748,f93670]) ).
fof(f465127,plain,
( not(t7) = and(sum_def,or(cin,not(t4)))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3901
| ~ spl0_6487
| ~ spl0_12499
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f464754,f308318]) ).
fof(f465435,definition,
( spl0_20119
<=> not(t6) = and(sum_def,t7) ),
introduced(definition,[new_symbols(definition,[spl0_20119])],[avatar_definition]) ).
fof(f465437,plain,
( not(t6) = and(sum_def,t7)
| ~ spl0_20119 ),
inference(avatar_component_clause,[],[f465435]) ).
fof(f465438,plain,
( spl0_20119
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_2593
| ~ spl0_3743
| ~ spl0_3905
| ~ spl0_3914
| ~ spl0_7239
| ~ spl0_15247 ),
inference(avatar_split_clause,[],[f465118,f352094,f172397,f93762,f93668,f90456,f50915,f3162,f3077,f2194,f465435]) ).
fof(f465441,plain,
( not(t7) = and(sum_def,or(cin,t6))
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3715
| ~ spl0_3901
| ~ spl0_6487
| ~ spl0_12499
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f465127,f90017]) ).
fof(f465660,plain,
( not(t7) = and(sum_def,t6)
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3715
| ~ spl0_3893
| ~ spl0_3901
| ~ spl0_6487
| ~ spl0_12499
| ~ spl0_15248 ),
inference(forward_demodulation,[],[f465441,f93544]) ).
fof(f465783,definition,
( spl0_20136
<=> not(t7) = and(sum_def,t6) ),
introduced(definition,[new_symbols(definition,[spl0_20136])],[avatar_definition]) ).
fof(f465785,plain,
( not(t7) = and(sum_def,t6)
| ~ spl0_20136 ),
inference(avatar_component_clause,[],[f465783]) ).
fof(f465786,plain,
( spl0_20136
| ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3715
| ~ spl0_3893
| ~ spl0_3901
| ~ spl0_6487
| ~ spl0_12499
| ~ spl0_15248 ),
inference(avatar_split_clause,[],[f465660,f352117,f308317,f153046,f93622,f93542,f90015,f50915,f25562,f3162,f3077,f2194,f465783]) ).
fof(f466523,plain,
( or(sum,not(t7)) = or(sum,sum_def)
| ~ spl0_12795
| ~ spl0_20136 ),
inference(superposition,[],[f322782,f465785]) ).
fof(f466529,plain,
( sum_def = or(sum_def,not(t7))
| ~ spl0_19
| ~ spl0_20136 ),
inference(superposition,[],[f133,f465785]) ).
fof(f466613,definition,
( spl0_20177
<=> sum_def = or(sum_def,not(t7)) ),
introduced(definition,[new_symbols(definition,[spl0_20177])],[avatar_definition]) ).
fof(f466615,plain,
( sum_def = or(sum_def,not(t7))
| ~ spl0_20177 ),
inference(avatar_component_clause,[],[f466613]) ).
fof(f466616,plain,
( spl0_20177
| ~ spl0_19
| ~ spl0_20136 ),
inference(avatar_split_clause,[],[f466529,f465783,f132,f466613]) ).
fof(f466622,plain,
( or(sum,not(t7)) = or(sum_def,sum)
| ~ spl0_36
| ~ spl0_12795
| ~ spl0_20136 ),
inference(forward_demodulation,[],[f466523,f203]) ).
fof(f466666,plain,
( sum = or(sum_def,sum)
| ~ spl0_36
| ~ spl0_190
| ~ spl0_12795
| ~ spl0_20136 ),
inference(forward_demodulation,[],[f466622,f2248]) ).
fof(f466698,definition,
( spl0_20188
<=> sum = or(sum_def,sum) ),
introduced(definition,[new_symbols(definition,[spl0_20188])],[avatar_definition]) ).
fof(f466700,plain,
( sum = or(sum_def,sum)
| ~ spl0_20188 ),
inference(avatar_component_clause,[],[f466698]) ).
fof(f466701,plain,
( spl0_20188
| ~ spl0_36
| ~ spl0_190
| ~ spl0_12795
| ~ spl0_20136 ),
inference(avatar_split_clause,[],[f466666,f465783,f322781,f2246,f202,f466698]) ).
fof(f467345,plain,
( not(sum_def) = and(t7,not(sum_def))
| ~ spl0_249
| ~ spl0_20177 ),
inference(superposition,[],[f3264,f466615]) ).
fof(f467398,definition,
( spl0_20242
<=> not(sum_def) = and(t7,not(sum_def)) ),
introduced(definition,[new_symbols(definition,[spl0_20242])],[avatar_definition]) ).
fof(f467400,plain,
( not(sum_def) = and(t7,not(sum_def))
| ~ spl0_20242 ),
inference(avatar_component_clause,[],[f467398]) ).
fof(f467401,plain,
( spl0_20242
| ~ spl0_249
| ~ spl0_20177 ),
inference(avatar_split_clause,[],[f467345,f466613,f3263,f467398]) ).
fof(f467917,plain,
( sum_def = or(sum_def,not(t6))
| ~ spl0_19
| ~ spl0_20119 ),
inference(superposition,[],[f133,f465437]) ).
fof(f468001,definition,
( spl0_20284
<=> sum_def = or(sum_def,not(t6)) ),
introduced(definition,[new_symbols(definition,[spl0_20284])],[avatar_definition]) ).
fof(f468003,plain,
( sum_def = or(sum_def,not(t6))
| ~ spl0_20284 ),
inference(avatar_component_clause,[],[f468001]) ).
fof(f468004,plain,
( spl0_20284
| ~ spl0_19
| ~ spl0_20119 ),
inference(avatar_split_clause,[],[f467917,f465435,f132,f468001]) ).
fof(f468685,plain,
( not(sum_def) = and(t6,not(sum_def))
| ~ spl0_249
| ~ spl0_20284 ),
inference(superposition,[],[f3264,f468003]) ).
fof(f468738,definition,
( spl0_20329
<=> not(sum_def) = and(t6,not(sum_def)) ),
introduced(definition,[new_symbols(definition,[spl0_20329])],[avatar_definition]) ).
fof(f468740,plain,
( not(sum_def) = and(t6,not(sum_def))
| ~ spl0_20329 ),
inference(avatar_component_clause,[],[f468738]) ).
fof(f468741,plain,
( spl0_20329
| ~ spl0_249
| ~ spl0_20284 ),
inference(avatar_split_clause,[],[f468685,f468001,f3263,f468738]) ).
fof(f471309,plain,
( and(not(sum_def),not(sum)) = and(t6,not(sum_def))
| ~ spl0_5729
| ~ spl0_20242 ),
inference(superposition,[],[f136820,f467400]) ).
fof(f471386,plain,
( not(sum_def) = and(not(sum_def),not(sum))
| ~ spl0_5729
| ~ spl0_20242
| ~ spl0_20329 ),
inference(forward_demodulation,[],[f471309,f468740]) ).
fof(f471412,plain,
( not(sum_def) = not(or(sum_def,sum))
| ~ spl0_17
| ~ spl0_5729
| ~ spl0_20242
| ~ spl0_20329 ),
inference(forward_demodulation,[],[f471386,f125]) ).
fof(f471426,plain,
( not(sum) = not(sum_def)
| ~ spl0_17
| ~ spl0_5729
| ~ spl0_20188
| ~ spl0_20242
| ~ spl0_20329 ),
inference(forward_demodulation,[],[f471412,f466700]) ).
fof(f471436,definition,
( spl0_20477
<=> not(sum) = not(sum_def) ),
introduced(definition,[new_symbols(definition,[spl0_20477])],[avatar_definition]) ).
fof(f471438,plain,
( not(sum) = not(sum_def)
| ~ spl0_20477 ),
inference(avatar_component_clause,[],[f471436]) ).
fof(f471439,plain,
( spl0_20477
| ~ spl0_17
| ~ spl0_5729
| ~ spl0_20188
| ~ spl0_20242
| ~ spl0_20329 ),
inference(avatar_split_clause,[],[f471426,f468738,f467398,f466698,f136819,f124,f471436]) ).
fof(f471552,plain,
( sum = not(not(sum_def))
| ~ spl0_24
| ~ spl0_20477 ),
inference(superposition,[],[f155,f471438]) ).
fof(f471642,plain,
( sum_def = sum
| ~ spl0_24
| ~ spl0_20477 ),
inference(forward_demodulation,[],[f471552,f155]) ).
fof(f471788,plain,
( $false
| spl0_2
| ~ spl0_24
| ~ spl0_20477 ),
inference(forward_subsumption_resolution,[],[f471642,f54]) ).
fof(f471789,plain,
( spl0_2
| ~ spl0_24
| ~ spl0_20477 ),
inference(avatar_contradiction_clause,[],[f471788]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
spl0_3,
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f65]) ).
cnf(s4,plain,
spl0_5,
inference(sat_conversion,[],[f70]) ).
cnf(s5,plain,
spl0_6,
inference(sat_conversion,[],[f75]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f80]) ).
cnf(s7,plain,
spl0_8,
inference(sat_conversion,[],[f85]) ).
cnf(s8,plain,
spl0_9,
inference(sat_conversion,[],[f90]) ).
cnf(s9,plain,
spl0_10,
inference(sat_conversion,[],[f95]) ).
cnf(s10,plain,
spl0_11,
inference(sat_conversion,[],[f100]) ).
cnf(s11,plain,
spl0_12,
inference(sat_conversion,[],[f105]) ).
cnf(s12,plain,
spl0_13,
inference(sat_conversion,[],[f110]) ).
cnf(s13,plain,
spl0_14,
inference(sat_conversion,[],[f114]) ).
cnf(s14,plain,
spl0_15,
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
spl0_16,
inference(sat_conversion,[],[f122]) ).
cnf(s16,plain,
spl0_17,
inference(sat_conversion,[],[f126]) ).
cnf(s17,plain,
spl0_18,
inference(sat_conversion,[],[f130]) ).
cnf(s18,plain,
spl0_19,
inference(sat_conversion,[],[f134]) ).
cnf(s19,plain,
spl0_20,
inference(sat_conversion,[],[f138]) ).
cnf(s21,plain,
spl0_22,
inference(sat_conversion,[],[f147]) ).
cnf(s22,plain,
spl0_23,
inference(sat_conversion,[],[f152]) ).
cnf(s23,plain,
spl0_24,
inference(sat_conversion,[],[f156]) ).
cnf(s24,plain,
spl0_25,
inference(sat_conversion,[],[f160]) ).
cnf(s26,plain,
spl0_27,
inference(sat_conversion,[],[f168]) ).
cnf(s27,plain,
spl0_28,
inference(sat_conversion,[],[f172]) ).
cnf(s28,plain,
spl0_29,
inference(sat_conversion,[],[f176]) ).
cnf(s29,plain,
spl0_30,
inference(sat_conversion,[],[f180]) ).
cnf(s30,plain,
spl0_31,
inference(sat_conversion,[],[f184]) ).
cnf(s31,plain,
spl0_32,
inference(sat_conversion,[],[f188]) ).
cnf(s32,plain,
spl0_33,
inference(sat_conversion,[],[f192]) ).
cnf(s33,plain,
spl0_34,
inference(sat_conversion,[],[f196]) ).
cnf(s34,plain,
spl0_35,
inference(sat_conversion,[],[f200]) ).
cnf(s35,plain,
spl0_36,
inference(sat_conversion,[],[f204]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_24
| spl0_37 ),
inference(sat_conversion,[],[f212]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_24
| spl0_38 ),
inference(sat_conversion,[],[f218]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_24
| ~ spl0_35
| spl0_39 ),
inference(sat_conversion,[],[f225]) ).
cnf(s39,plain,
( ~ spl0_6
| ~ spl0_24
| ~ spl0_35
| spl0_40 ),
inference(sat_conversion,[],[f232]) ).
cnf(s40,plain,
( ~ spl0_7
| ~ spl0_24
| ~ spl0_35
| spl0_41 ),
inference(sat_conversion,[],[f239]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_24
| spl0_42 ),
inference(sat_conversion,[],[f245]) ).
cnf(s42,plain,
( ~ spl0_9
| ~ spl0_24
| spl0_43 ),
inference(sat_conversion,[],[f251]) ).
cnf(s43,plain,
( ~ spl0_10
| ~ spl0_24
| spl0_44 ),
inference(sat_conversion,[],[f257]) ).
cnf(s44,plain,
( ~ spl0_11
| ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f263]) ).
cnf(s45,plain,
( ~ spl0_4
| ~ spl0_27
| ~ spl0_33
| spl0_46 ),
inference(sat_conversion,[],[f296]) ).
cnf(s47,plain,
( ~ spl0_6
| ~ spl0_27
| ~ spl0_33
| spl0_48 ),
inference(sat_conversion,[],[f307]) ).
cnf(s49,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_33
| spl0_50 ),
inference(sat_conversion,[],[f318]) ).
cnf(s50,plain,
( ~ spl0_10
| ~ spl0_27
| ~ spl0_33
| spl0_51 ),
inference(sat_conversion,[],[f324]) ).
cnf(s51,plain,
( ~ spl0_7
| ~ spl0_27
| ~ spl0_33
| ~ spl0_39
| spl0_52 ),
inference(sat_conversion,[],[f329]) ).
cnf(s53,plain,
( ~ spl0_11
| ~ spl0_27
| ~ spl0_33
| ~ spl0_43
| spl0_54 ),
inference(sat_conversion,[],[f339]) ).
cnf(s54,plain,
( ~ spl0_19
| ~ spl0_38
| spl0_55 ),
inference(sat_conversion,[],[f399]) ).
cnf(s55,plain,
( ~ spl0_19
| ~ spl0_40
| spl0_56 ),
inference(sat_conversion,[],[f404]) ).
cnf(s56,plain,
( ~ spl0_19
| ~ spl0_42
| spl0_57 ),
inference(sat_conversion,[],[f409]) ).
cnf(s58,plain,
( ~ spl0_19
| ~ spl0_41
| spl0_59 ),
inference(sat_conversion,[],[f419]) ).
cnf(s59,plain,
( ~ spl0_19
| ~ spl0_39
| spl0_60 ),
inference(sat_conversion,[],[f424]) ).
cnf(s60,plain,
( ~ spl0_19
| ~ spl0_43
| spl0_61 ),
inference(sat_conversion,[],[f429]) ).
cnf(s61,plain,
( ~ spl0_19
| ~ spl0_45
| spl0_62 ),
inference(sat_conversion,[],[f434]) ).
cnf(s63,plain,
( ~ spl0_31
| ~ spl0_35
| spl0_64 ),
inference(sat_conversion,[],[f471]) ).
cnf(s64,plain,
( ~ spl0_20
| ~ spl0_35
| spl0_65 ),
inference(sat_conversion,[],[f475]) ).
cnf(s65,plain,
( ~ spl0_19
| ~ spl0_35
| spl0_66 ),
inference(sat_conversion,[],[f479]) ).
cnf(s76,plain,
( ~ spl0_32
| ~ spl0_36
| spl0_68 ),
inference(sat_conversion,[],[f520]) ).
cnf(s77,plain,
( ~ spl0_18
| ~ spl0_36
| spl0_69 ),
inference(sat_conversion,[],[f524]) ).
cnf(s82,plain,
( ~ spl0_38
| ~ spl0_66
| spl0_70 ),
inference(sat_conversion,[],[f561]) ).
cnf(s83,plain,
( ~ spl0_40
| ~ spl0_66
| spl0_71 ),
inference(sat_conversion,[],[f566]) ).
cnf(s84,plain,
( ~ spl0_42
| ~ spl0_66
| spl0_72 ),
inference(sat_conversion,[],[f571]) ).
cnf(s85,plain,
( ~ spl0_37
| ~ spl0_66
| spl0_73 ),
inference(sat_conversion,[],[f576]) ).
cnf(s86,plain,
( ~ spl0_41
| ~ spl0_66
| spl0_74 ),
inference(sat_conversion,[],[f581]) ).
cnf(s87,plain,
( ~ spl0_39
| ~ spl0_66
| spl0_75 ),
inference(sat_conversion,[],[f586]) ).
cnf(s88,plain,
( ~ spl0_43
| ~ spl0_66
| spl0_76 ),
inference(sat_conversion,[],[f591]) ).
cnf(s89,plain,
( ~ spl0_45
| ~ spl0_66
| spl0_77 ),
inference(sat_conversion,[],[f596]) ).
cnf(s90,plain,
( ~ spl0_44
| ~ spl0_66
| spl0_78 ),
inference(sat_conversion,[],[f601]) ).
cnf(s91,plain,
( ~ spl0_18
| ~ spl0_34
| ~ spl0_66
| spl0_79 ),
inference(sat_conversion,[],[f606]) ).
cnf(s92,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_70
| spl0_80 ),
inference(sat_conversion,[],[f673]) ).
cnf(s94,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_75
| spl0_82 ),
inference(sat_conversion,[],[f683]) ).
cnf(s95,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_73
| spl0_83 ),
inference(sat_conversion,[],[f688]) ).
cnf(s96,plain,
( ~ spl0_35
| ~ spl0_56
| ~ spl0_69
| spl0_84 ),
inference(sat_conversion,[],[f693]) ).
cnf(s97,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_74
| spl0_85 ),
inference(sat_conversion,[],[f698]) ).
cnf(s98,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_71
| spl0_86 ),
inference(sat_conversion,[],[f703]) ).
cnf(s101,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_78
| spl0_89 ),
inference(sat_conversion,[],[f718]) ).
cnf(s102,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_76
| spl0_90 ),
inference(sat_conversion,[],[f723]) ).
cnf(s104,plain,
( ~ spl0_35
| ~ spl0_60
| ~ spl0_69
| spl0_92 ),
inference(sat_conversion,[],[f733]) ).
cnf(s105,plain,
( ~ spl0_35
| ~ spl0_59
| ~ spl0_69
| spl0_93 ),
inference(sat_conversion,[],[f738]) ).
cnf(s106,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_77
| spl0_94 ),
inference(sat_conversion,[],[f743]) ).
cnf(s107,plain,
( ~ spl0_35
| ~ spl0_61
| ~ spl0_69
| spl0_95 ),
inference(sat_conversion,[],[f748]) ).
cnf(s109,plain,
( ~ spl0_35
| ~ spl0_62
| ~ spl0_69
| spl0_97 ),
inference(sat_conversion,[],[f758]) ).
cnf(s110,plain,
( ~ spl0_19
| ~ spl0_33
| ~ spl0_69
| spl0_98 ),
inference(sat_conversion,[],[f762]) ).
cnf(s115,plain,
( ~ spl0_36
| ~ spl0_79
| spl0_103 ),
inference(sat_conversion,[],[f865]) ).
cnf(s121,plain,
( ~ spl0_35
| ~ spl0_98
| spl0_108 ),
inference(sat_conversion,[],[f986]) ).
cnf(s124,plain,
( ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_46
| ~ spl0_98
| spl0_110 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s126,plain,
( ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_48
| ~ spl0_98
| spl0_112 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s128,plain,
( ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_50
| ~ spl0_98
| spl0_114 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s129,plain,
( ~ spl0_20
| ~ spl0_33
| ~ spl0_35
| ~ spl0_51
| ~ spl0_98
| spl0_115 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s130,plain,
( ~ spl0_36
| ~ spl0_103
| spl0_116 ),
inference(sat_conversion,[],[f1191]) ).
cnf(s133,plain,
( ~ spl0_35
| ~ spl0_108
| spl0_118 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s135,plain,
( ~ spl0_16
| ~ spl0_36
| spl0_119 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s139,plain,
( ~ spl0_16
| ~ spl0_24
| spl0_120 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s140,plain,
( ~ spl0_16
| ~ spl0_24
| spl0_121 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s141,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_33
| spl0_122 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s142,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_33
| spl0_123 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s144,plain,
( ~ spl0_6
| ~ spl0_16
| ~ spl0_33
| spl0_125 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s145,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_33
| spl0_126 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s146,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_33
| spl0_127 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s147,plain,
( ~ spl0_9
| ~ spl0_16
| ~ spl0_33
| spl0_128 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s149,plain,
( ~ spl0_10
| ~ spl0_16
| ~ spl0_33
| spl0_130 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s150,plain,
( ~ spl0_16
| ~ spl0_98
| ~ spl0_116
| spl0_131 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s160,plain,
( ~ spl0_28
| ~ spl0_131
| spl0_141 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s162,plain,
( ~ spl0_27
| ~ spl0_33
| ~ spl0_131
| spl0_142 ),
inference(sat_conversion,[],[f1648]) ).
cnf(s163,plain,
( ~ spl0_16
| ~ spl0_131
| spl0_143 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s166,plain,
( ~ spl0_16
| ~ spl0_33
| ~ spl0_131
| spl0_144 ),
inference(sat_conversion,[],[f1660]) ).
cnf(s168,plain,
( ~ spl0_17
| ~ spl0_35
| spl0_145 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s172,plain,
( ~ spl0_17
| ~ spl0_24
| spl0_146 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s173,plain,
( ~ spl0_17
| ~ spl0_24
| spl0_147 ),
inference(sat_conversion,[],[f1737]) ).
cnf(s174,plain,
( ~ spl0_17
| ~ spl0_131
| spl0_148 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s184,plain,
( ~ spl0_17
| ~ spl0_79
| ~ spl0_118
| spl0_156 ),
inference(sat_conversion,[],[f1806]) ).
cnf(s200,plain,
( ~ spl0_17
| ~ spl0_156
| spl0_171 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s201,plain,
( ~ spl0_16
| ~ spl0_156
| spl0_172 ),
inference(sat_conversion,[],[f1921]) ).
cnf(s209,plain,
( ~ spl0_24
| ~ spl0_119
| spl0_175 ),
inference(sat_conversion,[],[f1998]) ).
cnf(s210,plain,
( ~ spl0_24
| ~ spl0_119
| spl0_176 ),
inference(sat_conversion,[],[f2017]) ).
cnf(s220,plain,
( ~ spl0_17
| ~ spl0_120
| spl0_180 ),
inference(sat_conversion,[],[f2139]) ).
cnf(s223,plain,
( ~ spl0_120
| spl0_183 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s224,plain,
( ~ spl0_34
| ~ spl0_119
| ~ spl0_120
| spl0_184 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s227,plain,
( ~ spl0_120
| ~ spl0_131
| spl0_187 ),
inference(sat_conversion,[],[f2236]) ).
cnf(s232,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_80
| ~ spl0_120
| spl0_190 ),
inference(sat_conversion,[],[f2249]) ).
cnf(s234,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_84
| ~ spl0_120
| spl0_192 ),
inference(sat_conversion,[],[f2259]) ).
cnf(s236,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_82
| ~ spl0_120
| spl0_194 ),
inference(sat_conversion,[],[f2269]) ).
cnf(s237,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_86
| ~ spl0_120
| spl0_195 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s238,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_85
| ~ spl0_120
| spl0_196 ),
inference(sat_conversion,[],[f2279]) ).
cnf(s243,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_90
| ~ spl0_120
| spl0_201 ),
inference(sat_conversion,[],[f2304]) ).
cnf(s244,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_89
| ~ spl0_120
| spl0_202 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s245,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_93
| ~ spl0_120
| spl0_203 ),
inference(sat_conversion,[],[f2314]) ).
cnf(s246,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_92
| ~ spl0_120
| spl0_204 ),
inference(sat_conversion,[],[f2319]) ).
cnf(s247,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_95
| ~ spl0_120
| spl0_205 ),
inference(sat_conversion,[],[f2324]) ).
cnf(s248,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_94
| ~ spl0_120
| spl0_206 ),
inference(sat_conversion,[],[f2329]) ).
cnf(s249,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_97
| ~ spl0_120
| spl0_207 ),
inference(sat_conversion,[],[f2334]) ).
cnf(s256,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_194
| spl0_214 ),
inference(sat_conversion,[],[f2399]) ).
cnf(s258,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_196
| spl0_216 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s262,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_201
| spl0_220 ),
inference(sat_conversion,[],[f2465]) ).
cnf(s263,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_202
| spl0_221 ),
inference(sat_conversion,[],[f2476]) ).
cnf(s264,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_203
| spl0_222 ),
inference(sat_conversion,[],[f2487]) ).
cnf(s265,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_204
| spl0_223 ),
inference(sat_conversion,[],[f2498]) ).
cnf(s266,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_205
| spl0_224 ),
inference(sat_conversion,[],[f2509]) ).
cnf(s267,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_206
| spl0_225 ),
inference(sat_conversion,[],[f2520]) ).
cnf(s268,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_207
| spl0_226 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s291,plain,
( ~ spl0_120
| ~ spl0_121
| spl0_235 ),
inference(sat_conversion,[],[f3079]) ).
cnf(s293,plain,
( ~ spl0_17
| ~ spl0_121
| spl0_237 ),
inference(sat_conversion,[],[f3090]) ).
cnf(s298,plain,
( ~ spl0_121
| ~ spl0_131
| spl0_242 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s300,plain,
( ~ spl0_16
| ~ spl0_34
| ~ spl0_119
| ~ spl0_121
| spl0_243 ),
inference(sat_conversion,[],[f3156]) ).
cnf(s301,plain,
( ~ spl0_33
| ~ spl0_119
| ~ spl0_121
| ~ spl0_184
| spl0_244 ),
inference(sat_conversion,[],[f3164]) ).
cnf(s302,plain,
( ~ spl0_34
| ~ spl0_121
| ~ spl0_156
| spl0_245 ),
inference(sat_conversion,[],[f3168]) ).
cnf(s304,plain,
( ~ spl0_24
| ~ spl0_145
| spl0_246 ),
inference(sat_conversion,[],[f3238]) ).
cnf(s307,plain,
( ~ spl0_24
| ~ spl0_145
| spl0_249 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s328,plain,
( ~ spl0_146
| ~ spl0_156
| spl0_262 ),
inference(sat_conversion,[],[f3536]) ).
cnf(s343,plain,
( ~ spl0_11
| ~ spl0_33
| ~ spl0_147
| spl0_275 ),
inference(sat_conversion,[],[f3700]) ).
cnf(s345,plain,
( ~ spl0_147
| ~ spl0_156
| spl0_277 ),
inference(sat_conversion,[],[f3712]) ).
cnf(s348,plain,
( ~ spl0_34
| ~ spl0_145
| ~ spl0_147
| spl0_279 ),
inference(sat_conversion,[],[f3720]) ).
cnf(s349,plain,
( ~ spl0_33
| ~ spl0_131
| ~ spl0_147
| spl0_280 ),
inference(sat_conversion,[],[f3730]) ).
cnf(s362,plain,
( ~ spl0_121
| ~ spl0_131
| ~ spl0_175
| spl0_292 ),
inference(sat_conversion,[],[f3894]) ).
cnf(s369,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_147
| ~ spl0_175
| ~ spl0_279
| spl0_295 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s386,plain,
( ~ spl0_147
| ~ spl0_156
| ~ spl0_246
| spl0_311 ),
inference(sat_conversion,[],[f4305]) ).
cnf(s388,plain,
( ~ spl0_33
| ~ spl0_131
| ~ spl0_147
| ~ spl0_246
| spl0_312 ),
inference(sat_conversion,[],[f4317]) ).
cnf(s437,plain,
( ~ spl0_16
| ~ spl0_24
| ~ spl0_39
| ~ spl0_141
| ~ spl0_143
| ~ spl0_222
| ~ spl0_244
| spl0_359 ),
inference(sat_conversion,[],[f5578]) ).
cnf(s444,plain,
( ~ spl0_16
| ~ spl0_24
| ~ spl0_36
| ~ spl0_94
| ~ spl0_128
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144
| spl0_365 ),
inference(sat_conversion,[],[f5648]) ).
cnf(s445,plain,
( ~ spl0_16
| ~ spl0_24
| ~ spl0_36
| ~ spl0_97
| ~ spl0_130
| ~ spl0_141
| ~ spl0_143
| ~ spl0_144
| spl0_366 ),
inference(sat_conversion,[],[f5653]) ).
cnf(s448,plain,
( ~ spl0_8
| ~ spl0_35
| ~ spl0_142
| spl0_368 ),
inference(sat_conversion,[],[f6407]) ).
cnf(s467,plain,
( ~ spl0_33
| ~ spl0_35
| spl0_384 ),
inference(sat_conversion,[],[f6907]) ).
cnf(s509,plain,
( ~ spl0_33
| ~ spl0_39
| spl0_419 ),
inference(sat_conversion,[],[f7064]) ).
cnf(s510,plain,
( ~ spl0_33
| ~ spl0_41
| spl0_420 ),
inference(sat_conversion,[],[f7068]) ).
cnf(s517,plain,
( ~ spl0_33
| ~ spl0_45
| spl0_427 ),
inference(sat_conversion,[],[f7100]) ).
cnf(s525,plain,
( ~ spl0_33
| ~ spl0_35
| spl0_435 ),
inference(sat_conversion,[],[f7142]) ).
cnf(s534,plain,
( ~ spl0_33
| ~ spl0_52
| ~ spl0_65
| spl0_439 ),
inference(sat_conversion,[],[f7164]) ).
cnf(s537,plain,
( ~ spl0_33
| ~ spl0_54
| ~ spl0_65
| spl0_442 ),
inference(sat_conversion,[],[f7182]) ).
cnf(s538,plain,
( ~ spl0_27
| ~ spl0_33
| ~ spl0_65
| spl0_443 ),
inference(sat_conversion,[],[f7188]) ).
cnf(s539,plain,
( ~ spl0_33
| ~ spl0_118
| spl0_444 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s574,plain,
( ~ spl0_17
| ~ spl0_443
| spl0_470 ),
inference(sat_conversion,[],[f7468]) ).
cnf(s575,plain,
( ~ spl0_145
| ~ spl0_443
| spl0_471 ),
inference(sat_conversion,[],[f7472]) ).
cnf(s597,plain,
( ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_243
| ~ spl0_439
| spl0_488 ),
inference(sat_conversion,[],[f7659]) ).
cnf(s599,plain,
( ~ spl0_35
| ~ spl0_442
| spl0_489 ),
inference(sat_conversion,[],[f7703]) ).
cnf(s647,plain,
( ~ spl0_17
| ~ spl0_72
| ~ spl0_471
| spl0_527 ),
inference(sat_conversion,[],[f8758]) ).
cnf(s648,plain,
( ~ spl0_17
| ~ spl0_57
| ~ spl0_471
| spl0_528 ),
inference(sat_conversion,[],[f8769]) ).
cnf(s651,plain,
( ~ spl0_17
| ~ spl0_70
| ~ spl0_156
| ~ spl0_471
| spl0_524 ),
inference(sat_conversion,[],[f8822]) ).
cnf(s652,plain,
( ~ spl0_17
| ~ spl0_55
| ~ spl0_156
| ~ spl0_471
| spl0_523 ),
inference(sat_conversion,[],[f8827]) ).
cnf(s659,plain,
( ~ spl0_17
| ~ spl0_59
| ~ spl0_156
| ~ spl0_471
| spl0_525 ),
inference(sat_conversion,[],[f8866]) ).
cnf(s660,plain,
( ~ spl0_17
| ~ spl0_77
| ~ spl0_156
| ~ spl0_471
| spl0_529 ),
inference(sat_conversion,[],[f8868]) ).
cnf(s661,plain,
( ~ spl0_17
| ~ spl0_62
| ~ spl0_156
| ~ spl0_471
| spl0_530 ),
inference(sat_conversion,[],[f8872]) ).
cnf(s713,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_523
| spl0_555 ),
inference(sat_conversion,[],[f9214]) ).
cnf(s731,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_524
| spl0_563 ),
inference(sat_conversion,[],[f9325]) ).
cnf(s749,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_525
| spl0_571 ),
inference(sat_conversion,[],[f9436]) ).
cnf(s785,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_527
| spl0_587 ),
inference(sat_conversion,[],[f9658]) ).
cnf(s803,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_528
| spl0_595 ),
inference(sat_conversion,[],[f9769]) ).
cnf(s821,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_529
| spl0_603 ),
inference(sat_conversion,[],[f9880]) ).
cnf(s839,plain,
( ~ spl0_28
| ~ spl0_32
| ~ spl0_34
| ~ spl0_530
| spl0_611 ),
inference(sat_conversion,[],[f9991]) ).
cnf(s859,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_40
| ~ spl0_488
| spl0_627 ),
inference(sat_conversion,[],[f10945]) ).
cnf(s862,plain,
( ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_244
| ~ spl0_489
| spl0_630 ),
inference(sat_conversion,[],[f11015]) ).
cnf(s960,plain,
( ~ spl0_34
| ~ spl0_69
| spl0_702 ),
inference(sat_conversion,[],[f12585]) ).
cnf(s1002,plain,
( ~ spl0_34
| ~ spl0_60
| spl0_736 ),
inference(sat_conversion,[],[f12785]) ).
cnf(s1011,plain,
( ~ spl0_19
| ~ spl0_34
| spl0_745 ),
inference(sat_conversion,[],[f12842]) ).
cnf(s1203,plain,
( ~ spl0_29
| ~ spl0_35
| spl0_899 ),
inference(sat_conversion,[],[f18131]) ).
cnf(s1209,plain,
( ~ spl0_29
| ~ spl0_36
| spl0_902 ),
inference(sat_conversion,[],[f18320]) ).
cnf(s1212,plain,
( ~ spl0_29
| ~ spl0_36
| spl0_904 ),
inference(sat_conversion,[],[f18505]) ).
cnf(s1227,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_563
| spl0_918 ),
inference(sat_conversion,[],[f18572]) ).
cnf(s1234,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_555
| spl0_925 ),
inference(sat_conversion,[],[f18603]) ).
cnf(s1264,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_587
| spl0_955 ),
inference(sat_conversion,[],[f18731]) ).
cnf(s1265,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_595
| spl0_956 ),
inference(sat_conversion,[],[f18735]) ).
cnf(s1296,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_366
| spl0_987 ),
inference(sat_conversion,[],[f18869]) ).
cnf(s1311,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_571
| spl0_1002 ),
inference(sat_conversion,[],[f18936]) ).
cnf(s1321,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_603
| spl0_1012 ),
inference(sat_conversion,[],[f18978]) ).
cnf(s1364,plain,
( ~ spl0_18
| ~ spl0_29
| ~ spl0_204
| spl0_1055 ),
inference(sat_conversion,[],[f19162]) ).
cnf(s1371,plain,
( ~ spl0_29
| ~ spl0_64
| ~ spl0_627
| spl0_1062 ),
inference(sat_conversion,[],[f19190]) ).
cnf(s1373,plain,
( ~ spl0_18
| ~ spl0_29
| ~ spl0_192
| spl0_1064 ),
inference(sat_conversion,[],[f19198]) ).
cnf(s1374,plain,
( ~ spl0_18
| ~ spl0_29
| ~ spl0_195
| spl0_1065 ),
inference(sat_conversion,[],[f19202]) ).
cnf(s1430,plain,
( ~ spl0_18
| ~ spl0_29
| ~ spl0_205
| spl0_1121 ),
inference(sat_conversion,[],[f19426]) ).
cnf(s1449,plain,
( ~ spl0_29
| ~ spl0_64
| ~ spl0_365
| spl0_1140 ),
inference(sat_conversion,[],[f19502]) ).
cnf(s1470,plain,
( ~ spl0_29
| ~ spl0_64
| ~ spl0_359
| spl0_1161 ),
inference(sat_conversion,[],[f19587]) ).
cnf(s1471,plain,
( ~ spl0_29
| ~ spl0_64
| ~ spl0_571
| spl0_1162 ),
inference(sat_conversion,[],[f19591]) ).
cnf(s1483,plain,
( ~ spl0_29
| ~ spl0_64
| ~ spl0_603
| spl0_1174 ),
inference(sat_conversion,[],[f19639]) ).
cnf(s1492,plain,
( ~ spl0_29
| ~ spl0_64
| ~ spl0_611
| spl0_1183 ),
inference(sat_conversion,[],[f19675]) ).
cnf(s1512,plain,
( ~ spl0_29
| ~ spl0_98
| ~ spl0_118
| spl0_1203 ),
inference(sat_conversion,[],[f19763]) ).
cnf(s1555,plain,
( ~ spl0_18
| ~ spl0_29
| ~ spl0_33
| ~ spl0_66
| spl0_1244 ),
inference(sat_conversion,[],[f19939]) ).
cnf(s1912,plain,
( ~ spl0_30
| ~ spl0_118
| spl0_1579 ),
inference(sat_conversion,[],[f24990]) ).
cnf(s2001,plain,
( ~ spl0_27
| ~ spl0_30
| ~ spl0_32
| spl0_1667 ),
inference(sat_conversion,[],[f25355]) ).
cnf(s2002,plain,
( ~ spl0_30
| ~ spl0_32
| ~ spl0_443
| spl0_1668 ),
inference(sat_conversion,[],[f25360]) ).
cnf(s2006,plain,
( ~ spl0_30
| ~ spl0_98
| spl0_1672 ),
inference(sat_conversion,[],[f25376]) ).
cnf(s2050,plain,
( ~ spl0_30
| ~ spl0_79
| ~ spl0_116
| spl0_1716 ),
inference(sat_conversion,[],[f25564]) ).
cnf(s2051,plain,
( ~ spl0_30
| ~ spl0_33
| ~ spl0_69
| ~ spl0_444
| spl0_1717 ),
inference(sat_conversion,[],[f25568]) ).
cnf(s2137,plain,
( ~ spl0_17
| ~ spl0_1055
| spl0_1802 ),
inference(sat_conversion,[],[f26746]) ).
cnf(s2144,plain,
( ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_1064
| spl0_1809 ),
inference(sat_conversion,[],[f26824]) ).
cnf(s2147,plain,
( ~ spl0_17
| ~ spl0_1065
| spl0_1812 ),
inference(sat_conversion,[],[f26876]) ).
cnf(s2148,plain,
( ~ spl0_145
| ~ spl0_1065
| spl0_1813 ),
inference(sat_conversion,[],[f26880]) ).
cnf(s2177,plain,
( ~ spl0_17
| ~ spl0_1121
| spl0_1842 ),
inference(sat_conversion,[],[f27269]) ).
cnf(s2311,plain,
( ~ spl0_146
| ~ spl0_1802
| spl0_1958 ),
inference(sat_conversion,[],[f29539]) ).
cnf(s2333,plain,
( ~ spl0_146
| ~ spl0_1812
| spl0_1980 ),
inference(sat_conversion,[],[f29941]) ).
cnf(s2421,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_183
| ~ spl0_292
| spl0_2033 ),
inference(sat_conversion,[],[f31734]) ).
cnf(s2538,plain,
( ~ spl0_10
| ~ spl0_36
| ~ spl0_630
| spl0_2145 ),
inference(sat_conversion,[],[f35941]) ).
cnf(s2542,plain,
( ~ spl0_29
| ~ spl0_31
| ~ spl0_2145
| spl0_2147 ),
inference(sat_conversion,[],[f35996]) ).
cnf(s2744,plain,
( ~ spl0_33
| ~ spl0_702
| ~ spl0_1244
| ~ spl0_1717
| spl0_2335 ),
inference(sat_conversion,[],[f39842]) ).
cnf(s3088,plain,
( ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| ~ spl0_23
| ~ spl0_32
| ~ spl0_33
| ~ spl0_36
| ~ spl0_64
| ~ spl0_65
| ~ spl0_68
| ~ spl0_121
| ~ spl0_148
| ~ spl0_180
| ~ spl0_187
| ~ spl0_262
| ~ spl0_292
| ~ spl0_295
| ~ spl0_311
| ~ spl0_1203
| ~ spl0_2335
| spl0_2557 ),
inference(sat_conversion,[],[f50800]) ).
cnf(s3122,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25
| ~ spl0_28
| ~ spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_36
| ~ spl0_64
| ~ spl0_108
| ~ spl0_120
| ~ spl0_121
| ~ spl0_171
| ~ spl0_180
| ~ spl0_183
| ~ spl0_184
| ~ spl0_187
| ~ spl0_235
| ~ spl0_237
| ~ spl0_242
| ~ spl0_245
| ~ spl0_262
| ~ spl0_292
| ~ spl0_443
| ~ spl0_745
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1668
| spl0_2593 ),
inference(sat_conversion,[],[f51185]) ).
cnf(s3543,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_122
| ~ spl0_223
| spl0_2985 ),
inference(sat_conversion,[],[f61675]) ).
cnf(s3544,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_56
| ~ spl0_120
| ~ spl0_122
| ~ spl0_214
| spl0_2986 ),
inference(sat_conversion,[],[f61688]) ).
cnf(s3553,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_2986
| spl0_2994 ),
inference(sat_conversion,[],[f61817]) ).
cnf(s3557,plain,
( ~ spl0_33
| ~ spl0_2994
| spl0_2998 ),
inference(sat_conversion,[],[f61852]) ).
cnf(s3659,plain,
( ~ spl0_35
| ~ spl0_2998
| spl0_3088 ),
inference(sat_conversion,[],[f63863]) ).
cnf(s3868,plain,
( ~ spl0_70
| ~ spl0_123
| ~ spl0_3088
| spl0_3265 ),
inference(sat_conversion,[],[f68044]) ).
cnf(s3897,plain,
( ~ spl0_24
| ~ spl0_3265
| spl0_3289 ),
inference(sat_conversion,[],[f68400]) ).
cnf(s3941,plain,
( ~ spl0_32
| ~ spl0_368
| ~ spl0_987
| ~ spl0_1140
| spl0_3324 ),
inference(sat_conversion,[],[f69032]) ).
cnf(s3945,plain,
( ~ spl0_1813
| ~ spl0_3324
| spl0_3328 ),
inference(sat_conversion,[],[f69096]) ).
cnf(s3946,plain,
( ~ spl0_35
| ~ spl0_69
| ~ spl0_3324
| spl0_3329 ),
inference(sat_conversion,[],[f69111]) ).
cnf(s4094,plain,
( ~ spl0_32
| ~ spl0_110
| ~ spl0_1161
| spl0_3470 ),
inference(sat_conversion,[],[f72200]) ).
cnf(s4098,plain,
( ~ spl0_18
| ~ spl0_29
| ~ spl0_35
| ~ spl0_3470
| spl0_3474 ),
inference(sat_conversion,[],[f72247]) ).
cnf(s4257,plain,
( ~ spl0_36
| ~ spl0_925
| ~ spl0_3289
| spl0_3614 ),
inference(sat_conversion,[],[f88384]) ).
cnf(s4259,plain,
( ~ spl0_249
| ~ spl0_3614
| spl0_3616 ),
inference(sat_conversion,[],[f88432]) ).
cnf(s4319,plain,
( ~ spl0_37
| ~ spl0_1002
| spl0_3665 ),
inference(sat_conversion,[],[f89291]) ).
cnf(s4325,plain,
( ~ spl0_249
| ~ spl0_3665
| spl0_3670 ),
inference(sat_conversion,[],[f89348]) ).
cnf(s4334,plain,
( ~ spl0_36
| ~ spl0_44
| ~ spl0_1012
| spl0_3677 ),
inference(sat_conversion,[],[f89433]) ).
cnf(s4336,plain,
( ~ spl0_249
| ~ spl0_3677
| spl0_3679 ),
inference(sat_conversion,[],[f89472]) ).
cnf(s4365,plain,
( ~ spl0_55
| ~ spl0_125
| ~ spl0_2994
| spl0_3705 ),
inference(sat_conversion,[],[f89877]) ).
cnf(s4374,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_83
| ~ spl0_120
| ~ spl0_125
| spl0_3712 ),
inference(sat_conversion,[],[f89979]) ).
cnf(s4378,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_125
| ~ spl0_222
| spl0_3715 ),
inference(sat_conversion,[],[f90018]) ).
cnf(s4390,plain,
( ~ spl0_24
| ~ spl0_3705
| spl0_3726 ),
inference(sat_conversion,[],[f90252]) ).
cnf(s4414,plain,
( ~ spl0_36
| ~ spl0_918
| ~ spl0_3726
| spl0_3743 ),
inference(sat_conversion,[],[f90459]) ).
cnf(s4415,plain,
( ~ spl0_249
| ~ spl0_3712
| spl0_3744 ),
inference(sat_conversion,[],[f90507]) ).
cnf(s4420,plain,
( ~ spl0_249
| ~ spl0_3715
| spl0_3748 ),
inference(sat_conversion,[],[f90562]) ).
cnf(s4498,plain,
( ~ spl0_280
| ~ spl0_470
| ~ spl0_3744
| spl0_3813 ),
inference(sat_conversion,[],[f92082]) ).
cnf(s4525,plain,
( ~ spl0_68
| ~ spl0_131
| ~ spl0_141
| ~ spl0_244
| ~ spl0_3813
| spl0_3833 ),
inference(sat_conversion,[],[f92327]) ).
cnf(s4546,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3748
| spl0_3849 ),
inference(sat_conversion,[],[f92732]) ).
cnf(s4593,plain,
( ~ spl0_27
| ~ spl0_32
| ~ spl0_1062
| ~ spl0_3614
| spl0_3893 ),
inference(sat_conversion,[],[f93545]) ).
cnf(s4597,plain,
( ~ spl0_18
| ~ spl0_3893
| spl0_3897 ),
inference(sat_conversion,[],[f93599]) ).
cnf(s4599,plain,
( ~ spl0_3748
| ~ spl0_3893
| spl0_3899 ),
inference(sat_conversion,[],[f93615]) ).
cnf(s4601,plain,
( ~ spl0_35
| ~ spl0_1958
| ~ spl0_3893
| spl0_3901 ),
inference(sat_conversion,[],[f93625]) ).
cnf(s4603,plain,
( ~ spl0_33
| ~ spl0_3897
| spl0_3903 ),
inference(sat_conversion,[],[f93654]) ).
cnf(s4605,plain,
( ~ spl0_5
| ~ spl0_123
| ~ spl0_3743
| ~ spl0_3897
| spl0_3905 ),
inference(sat_conversion,[],[f93671]) ).
cnf(s4609,plain,
( ~ spl0_18
| ~ spl0_3905
| spl0_3909 ),
inference(sat_conversion,[],[f93731]) ).
cnf(s4614,plain,
( ~ spl0_35
| ~ spl0_1980
| ~ spl0_3905
| spl0_3914 ),
inference(sat_conversion,[],[f93765]) ).
cnf(s4750,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_126
| ~ spl0_224
| ~ spl0_3677
| spl0_4039 ),
inference(sat_conversion,[],[f96546]) ).
cnf(s5008,plain,
( ~ spl0_40
| ~ spl0_1162
| spl0_4281 ),
inference(sat_conversion,[],[f101794]) ).
cnf(s5025,plain,
( ~ spl0_2985
| ~ spl0_4281
| spl0_4298 ),
inference(sat_conversion,[],[f101980]) ).
cnf(s5036,plain,
( ~ spl0_29
| ~ spl0_4298
| spl0_4306 ),
inference(sat_conversion,[],[f102060]) ).
cnf(s5054,plain,
( ~ spl0_32
| ~ spl0_115
| ~ spl0_1174
| spl0_4323 ),
inference(sat_conversion,[],[f102348]) ).
cnf(s5066,plain,
( ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_221
| ~ spl0_427
| ~ spl0_2335
| ~ spl0_4323
| spl0_4335 ),
inference(sat_conversion,[],[f102463]) ).
cnf(s5069,plain,
( ~ spl0_36
| ~ spl0_956
| ~ spl0_4335
| spl0_4338 ),
inference(sat_conversion,[],[f102520]) ).
cnf(s5092,plain,
( ~ spl0_36
| ~ spl0_40
| ~ spl0_120
| ~ spl0_127
| ~ spl0_3328
| spl0_4357 ),
inference(sat_conversion,[],[f102944]) ).
cnf(s5099,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_127
| ~ spl0_216
| ~ spl0_4338
| spl0_4364 ),
inference(sat_conversion,[],[f103006]) ).
cnf(s5115,plain,
( ~ spl0_29
| ~ spl0_4357
| spl0_4379 ),
inference(sat_conversion,[],[f103230]) ).
cnf(s5184,plain,
( ~ spl0_249
| ~ spl0_4338
| spl0_4442 ),
inference(sat_conversion,[],[f104497]) ).
cnf(s5448,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_128
| ~ spl0_226
| spl0_4672 ),
inference(sat_conversion,[],[f109738]) ).
cnf(s5500,plain,
( ~ spl0_249
| ~ spl0_4672
| spl0_4712 ),
inference(sat_conversion,[],[f110314]) ).
cnf(s5822,plain,
( ~ spl0_32
| ~ spl0_114
| ~ spl0_1183
| spl0_4989 ),
inference(sat_conversion,[],[f115432]) ).
cnf(s5839,plain,
( ~ spl0_33
| ~ spl0_35
| ~ spl0_69
| ~ spl0_220
| ~ spl0_384
| ~ spl0_427
| ~ spl0_4989
| spl0_5006 ),
inference(sat_conversion,[],[f115598]) ).
cnf(s5843,plain,
( ~ spl0_36
| ~ spl0_955
| ~ spl0_4039
| ~ spl0_4338
| ~ spl0_5006
| spl0_5010 ),
inference(sat_conversion,[],[f115673]) ).
cnf(s6230,plain,
( ~ spl0_24
| ~ spl0_36
| ~ spl0_120
| ~ spl0_130
| ~ spl0_225
| spl0_5328 ),
inference(sat_conversion,[],[f125170]) ).
cnf(s6533,plain,
( ~ spl0_36
| ~ spl0_202
| ~ spl0_2147
| ~ spl0_5006
| spl0_5581 ),
inference(sat_conversion,[],[f134181]) ).
cnf(s6538,plain,
( ~ spl0_1842
| ~ spl0_5581
| spl0_5586 ),
inference(sat_conversion,[],[f134250]) ).
cnf(s6688,plain,
( ~ spl0_38
| ~ spl0_384
| spl0_5729 ),
inference(sat_conversion,[],[f136821]) ).
cnf(s6704,plain,
( ~ spl0_384
| ~ spl0_3909
| spl0_5745 ),
inference(sat_conversion,[],[f136906]) ).
cnf(s6873,plain,
( ~ spl0_384
| ~ spl0_3474
| ~ spl0_4306
| spl0_5904 ),
inference(sat_conversion,[],[f138094]) ).
cnf(s7480,plain,
( ~ spl0_33
| ~ spl0_69
| ~ spl0_312
| ~ spl0_384
| ~ spl0_420
| ~ spl0_1809
| ~ spl0_5904
| spl0_6400 ),
inference(sat_conversion,[],[f148633]) ).
cnf(s7583,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_121
| ~ spl0_243
| ~ spl0_3616
| ~ spl0_3849
| spl0_6487 ),
inference(sat_conversion,[],[f153067]) ).
cnf(s8528,plain,
( ~ spl0_123
| ~ spl0_3903
| spl0_7239 ),
inference(sat_conversion,[],[f172399]) ).
cnf(s10018,plain,
( ~ spl0_4442
| ~ spl0_5010
| spl0_8295 ),
inference(sat_conversion,[],[f194747]) ).
cnf(s11375,plain,
( ~ spl0_35
| ~ spl0_5745
| spl0_9407 ),
inference(sat_conversion,[],[f220704]) ).
cnf(s11555,plain,
( ~ spl0_3679
| ~ spl0_8295
| spl0_9547 ),
inference(sat_conversion,[],[f223702]) ).
cnf(s11933,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_9407
| spl0_9828 ),
inference(sat_conversion,[],[f232687]) ).
cnf(s11936,plain,
( ~ spl0_176
| ~ spl0_9828
| spl0_9831 ),
inference(sat_conversion,[],[f232766]) ).
cnf(s12525,plain,
( ~ spl0_16
| ~ spl0_36
| ~ spl0_79
| ~ spl0_121
| ~ spl0_196
| ~ spl0_6400
| ~ spl0_9831
| spl0_10305 ),
inference(sat_conversion,[],[f244667]) ).
cnf(s14058,plain,
( ~ spl0_17
| ~ spl0_156
| ~ spl0_216
| ~ spl0_419
| ~ spl0_3905
| spl0_11489 ),
inference(sat_conversion,[],[f272026]) ).
cnf(s14062,plain,
( ~ spl0_384
| ~ spl0_435
| ~ spl0_11489
| spl0_11493 ),
inference(sat_conversion,[],[f272139]) ).
cnf(s14884,plain,
( ~ spl0_899
| ~ spl0_902
| ~ spl0_3712
| ~ spl0_4379
| spl0_12220 ),
inference(sat_conversion,[],[f300241]) ).
cnf(s15253,plain,
( ~ spl0_16
| ~ spl0_736
| spl0_12499 ),
inference(sat_conversion,[],[f308319]) ).
cnf(s15561,plain,
( ~ spl0_31
| ~ spl0_555
| ~ spl0_902
| spl0_12795 ),
inference(sat_conversion,[],[f322783]) ).
cnf(s15879,plain,
( ~ spl0_31
| ~ spl0_365
| ~ spl0_902
| spl0_13113 ),
inference(sat_conversion,[],[f324251]) ).
cnf(s16494,plain,
( ~ spl0_64
| ~ spl0_902
| ~ spl0_3833
| ~ spl0_10305
| spl0_13630 ),
inference(sat_conversion,[],[f327589]) ).
cnf(s16932,plain,
( ~ spl0_36
| ~ spl0_44
| ~ spl0_5586
| ~ spl0_13113
| spl0_13970 ),
inference(sat_conversion,[],[f330261]) ).
cnf(s16942,plain,
( ~ spl0_4712
| ~ spl0_13970
| spl0_13980 ),
inference(sat_conversion,[],[f330372]) ).
cnf(s18448,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_33
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_235
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_311
| ~ spl0_384
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3715
| ~ spl0_3893
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11493
| ~ spl0_13980
| spl0_15247 ),
inference(sat_conversion,[],[f352096]) ).
cnf(s18449,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_35
| ~ spl0_42
| ~ spl0_45
| ~ spl0_120
| ~ spl0_146
| ~ spl0_148
| ~ spl0_172
| ~ spl0_180
| ~ spl0_183
| ~ spl0_242
| ~ spl0_262
| ~ spl0_277
| ~ spl0_295
| ~ spl0_904
| ~ spl0_1203
| ~ spl0_1667
| ~ spl0_1716
| ~ spl0_2033
| ~ spl0_2335
| ~ spl0_2557
| ~ spl0_3329
| ~ spl0_3679
| ~ spl0_3899
| ~ spl0_5328
| ~ spl0_5581
| ~ spl0_9547
| ~ spl0_11489
| ~ spl0_13980
| spl0_15248 ),
inference(sat_conversion,[],[f352119]) ).
cnf(s18846,plain,
( ~ spl0_32
| ~ spl0_36
| ~ spl0_112
| ~ spl0_1716
| ~ spl0_4364
| ~ spl0_5010
| ~ spl0_12220
| ~ spl0_13630
| spl0_15539 ),
inference(sat_conversion,[],[f360786]) ).
cnf(s18850,plain,
( ~ spl0_3903
| ~ spl0_15539
| spl0_15543 ),
inference(sat_conversion,[],[f360873]) ).
cnf(s21493,plain,
( spl0_1
| ~ spl0_12
| ~ spl0_28
| ~ spl0_31
| ~ spl0_156
| ~ spl0_275
| ~ spl0_280
| ~ spl0_312
| ~ spl0_1579
| ~ spl0_1672
| ~ spl0_1716
| ~ spl0_3670
| ~ spl0_15543 ),
inference(sat_conversion,[],[f403571]) ).
cnf(s24898,plain,
( ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_2593
| ~ spl0_3743
| ~ spl0_3905
| ~ spl0_3914
| ~ spl0_7239
| ~ spl0_15247
| spl0_20119 ),
inference(sat_conversion,[],[f465438]) ).
cnf(s24933,plain,
( ~ spl0_184
| ~ spl0_235
| ~ spl0_244
| ~ spl0_1716
| ~ spl0_2593
| ~ spl0_3715
| ~ spl0_3893
| ~ spl0_3901
| ~ spl0_6487
| ~ spl0_12499
| ~ spl0_15248
| spl0_20136 ),
inference(sat_conversion,[],[f465786]) ).
cnf(s24998,plain,
( ~ spl0_19
| ~ spl0_20136
| spl0_20177 ),
inference(sat_conversion,[],[f466616]) ).
cnf(s25018,plain,
( ~ spl0_36
| ~ spl0_190
| ~ spl0_12795
| ~ spl0_20136
| spl0_20188 ),
inference(sat_conversion,[],[f466701]) ).
cnf(s25094,plain,
( ~ spl0_249
| ~ spl0_20177
| spl0_20242 ),
inference(sat_conversion,[],[f467401]) ).
cnf(s25152,plain,
( ~ spl0_19
| ~ spl0_20119
| spl0_20284 ),
inference(sat_conversion,[],[f468004]) ).
cnf(s25228,plain,
( ~ spl0_249
| ~ spl0_20284
| spl0_20329 ),
inference(sat_conversion,[],[f468741]) ).
cnf(s25435,plain,
( ~ spl0_17
| ~ spl0_5729
| ~ spl0_20188
| ~ spl0_20242
| ~ spl0_20329
| spl0_20477 ),
inference(sat_conversion,[],[f471439]) ).
cnf(s25469,plain,
( spl0_2
| ~ spl0_24
| ~ spl0_20477 ),
inference(sat_conversion,[],[f471789]) ).
cnf(s25513,plain,
spl0_435,
inference(rat,[],[s525,s34,s32]) ).
cnf(s25514,plain,
spl0_384,
inference(rat,[],[s467,s34,s32]) ).
cnf(s25526,plain,
spl0_68,
inference(rat,[],[s76,s35,s31]) ).
cnf(s25527,plain,
spl0_64,
inference(rat,[],[s63,s34,s30]) ).
cnf(s25575,plain,
spl0_904,
inference(rat,[],[s1212,s35,s28]) ).
cnf(s25576,plain,
spl0_902,
inference(rat,[],[s1209,s35,s28]) ).
cnf(s25578,plain,
spl0_899,
inference(rat,[],[s1203,s34,s28]) ).
cnf(s25638,plain,
spl0_1667,
inference(rat,[],[s2001,s29,s31,s26]) ).
cnf(s25643,plain,
spl0_65,
inference(rat,[],[s64,s34,s19]) ).
cnf(s25644,plain,
spl0_443,
inference(rat,[],[s538,s26,s32,s25643]) ).
cnf(s25652,plain,
spl0_1668,
inference(rat,[],[s2002,s29,s31,s25644]) ).
cnf(s25664,plain,
spl0_745,
inference(rat,[],[s1011,s33,s18]) ).
cnf(s25667,plain,
spl0_66,
inference(rat,[],[s65,s34,s18]) ).
cnf(s25702,plain,
spl0_1244,
inference(rat,[],[s1555,s25667,s28,s32,s17]) ).
cnf(s25705,plain,
spl0_79,
inference(rat,[],[s91,s25667,s33,s17]) ).
cnf(s25706,plain,
spl0_69,
inference(rat,[],[s77,s35,s17]) ).
cnf(s25755,plain,
spl0_103,
inference(rat,[],[s115,s35,s25705]) ).
cnf(s25759,plain,
spl0_702,
inference(rat,[],[s960,s33,s25706]) ).
cnf(s25763,plain,
spl0_98,
inference(rat,[],[s110,s18,s32,s25706]) ).
cnf(s25772,plain,
spl0_116,
inference(rat,[],[s130,s35,s25755]) ).
cnf(s25789,plain,
spl0_1672,
inference(rat,[],[s2006,s29,s25763]) ).
cnf(s25793,plain,
spl0_108,
inference(rat,[],[s121,s34,s25763]) ).
cnf(s25804,plain,
spl0_1716,
inference(rat,[],[s2050,s25705,s29,s25772]) ).
cnf(s25814,plain,
spl0_118,
inference(rat,[],[s133,s34,s25793]) ).
cnf(s25823,plain,
spl0_1579,
inference(rat,[],[s1912,s29,s25814]) ).
cnf(s25825,plain,
spl0_444,
inference(rat,[],[s539,s32,s25814]) ).
cnf(s25828,plain,
spl0_1203,
inference(rat,[],[s1512,s25763,s28,s25814]) ).
cnf(s25854,plain,
spl0_1717,
inference(rat,[],[s2051,s25706,s29,s32,s25825]) ).
cnf(s25877,plain,
spl0_2335,
inference(rat,[],[s2744,s25759,s25702,s32,s25854]) ).
cnf(s25881,plain,
spl0_470,
inference(rat,[],[s574,s25644,s16]) ).
cnf(s25883,plain,
spl0_156,
inference(rat,[],[s184,s25814,s25705,s16]) ).
cnf(s25884,plain,
spl0_147,
inference(rat,[],[s173,s23,s16]) ).
cnf(s25885,plain,
spl0_146,
inference(rat,[],[s172,s23,s16]) ).
cnf(s25886,plain,
spl0_145,
inference(rat,[],[s168,s34,s16]) ).
cnf(s25922,plain,
spl0_171,
inference(rat,[],[s200,s16,s25883]) ).
cnf(s25927,plain,
spl0_277,
inference(rat,[],[s345,s25883,s25884]) ).
cnf(s25932,plain,
spl0_262,
inference(rat,[],[s328,s25883,s25885]) ).
cnf(s25935,plain,
spl0_471,
inference(rat,[],[s575,s25644,s25886]) ).
cnf(s25937,plain,
spl0_279,
inference(rat,[],[s348,s25884,s33,s25886]) ).
cnf(s25940,plain,
spl0_249,
inference(rat,[],[s307,s23,s25886]) ).
cnf(s25941,plain,
spl0_246,
inference(rat,[],[s304,s23,s25886]) ).
cnf(s25966,plain,
spl0_311,
inference(rat,[],[s386,s25884,s25883,s25941]) ).
cnf(s25973,plain,
spl0_172,
inference(rat,[],[s201,s25883,s15]) ).
cnf(s25974,plain,
spl0_131,
inference(rat,[],[s150,s25763,s25772,s15]) ).
cnf(s25975,plain,
spl0_121,
inference(rat,[],[s140,s23,s15]) ).
cnf(s25976,plain,
spl0_120,
inference(rat,[],[s139,s23,s15]) ).
cnf(s25977,plain,
spl0_119,
inference(rat,[],[s135,s35,s15]) ).
cnf(s26007,plain,
spl0_312,
inference(rat,[],[s388,s25941,s25884,s32,s25974]) ).
cnf(s26008,plain,
spl0_280,
inference(rat,[],[s349,s25884,s32,s25974]) ).
cnf(s26012,plain,
spl0_148,
inference(rat,[],[s174,s16,s25974]) ).
cnf(s26013,plain,
spl0_143,
inference(rat,[],[s163,s15,s25974]) ).
cnf(s26014,plain,
spl0_141,
inference(rat,[],[s160,s27,s25974]) ).
cnf(s26015,plain,
spl0_144,
inference(rat,[],[s166,s15,s32,s25974]) ).
cnf(s26016,plain,
spl0_142,
inference(rat,[],[s162,s26,s32,s25974]) ).
cnf(s26021,plain,
spl0_245,
inference(rat,[],[s302,s25883,s33,s25975]) ).
cnf(s26022,plain,
spl0_242,
inference(rat,[],[s298,s25974,s25975]) ).
cnf(s26025,plain,
spl0_237,
inference(rat,[],[s293,s16,s25975]) ).
cnf(s26039,plain,
spl0_235,
inference(rat,[],[s291,s25975,s25976]) ).
cnf(s26041,plain,
spl0_187,
inference(rat,[],[s227,s25974,s25976]) ).
cnf(s26042,plain,
spl0_183,
inference(rat,[],[s223,s25976]) ).
cnf(s26045,plain,
spl0_180,
inference(rat,[],[s220,s16,s25976]) ).
cnf(s26056,plain,
spl0_184,
inference(rat,[],[s224,s25976,s33,s25977]) ).
cnf(s26058,plain,
spl0_176,
inference(rat,[],[s210,s23,s25977]) ).
cnf(s26059,plain,
spl0_175,
inference(rat,[],[s209,s23,s25977]) ).
cnf(s26060,plain,
spl0_243,
inference(rat,[],[s300,s25975,s15,s33,s25977]) ).
cnf(s26145,plain,
spl0_244,
inference(rat,[],[s301,s25977,s25975,s32,s26056]) ).
cnf(s26178,plain,
spl0_295,
inference(rat,[],[s369,s25937,s25884,s32,s33,s26059]) ).
cnf(s26182,plain,
spl0_292,
inference(rat,[],[s362,s25975,s25974,s26059]) ).
cnf(s26265,plain,
spl0_2033,
inference(rat,[],[s2421,s26182,s25976,s26042,s15,s35,s23,s16,s14]) ).
cnf(s26325,plain,
spl0_2593,
inference(rat,[],[s3122,s14,s25652,s25638,s25828,s25664,s25644,s26182,s25932,s26021,s26022,s26025,s26039,s26041,s26056,s26042,s26045,s25922,s25975,s25976,s25793,s25527,s35,s33,s32,s31,s27,s24,s23,s16,s13]) ).
cnf(s26336,plain,
spl0_2557,
inference(rat,[],[s3088,s26182,s25877,s25828,s25966,s26178,s26045,s25932,s26041,s25975,s26012,s16,s25526,s25643,s25527,s35,s32,s31,s22,s21,s19,s13]) ).
cnf(s26515,plain,
spl0_275,
inference(rat,[],[s343,s25884,s32,s10]) ).
cnf(s26517,plain,
spl0_45,
inference(rat,[],[s44,s23,s10]) ).
cnf(s26543,plain,
spl0_427,
inference(rat,[],[s517,s32,s26517]) ).
cnf(s26544,plain,
spl0_77,
inference(rat,[],[s89,s25667,s26517]) ).
cnf(s26545,plain,
spl0_62,
inference(rat,[],[s61,s18,s26517]) ).
cnf(s26621,plain,
spl0_529,
inference(rat,[],[s660,s25935,s25883,s16,s26544]) ).
cnf(s26622,plain,
spl0_94,
inference(rat,[],[s106,s25706,s34,s26544]) ).
cnf(s26629,plain,
spl0_530,
inference(rat,[],[s661,s25935,s25883,s16,s26545]) ).
cnf(s26630,plain,
spl0_97,
inference(rat,[],[s109,s25706,s34,s26545]) ).
cnf(s26677,plain,
spl0_603,
inference(rat,[],[s821,s27,s31,s33,s26621]) ).
cnf(s26691,plain,
spl0_206,
inference(rat,[],[s248,s25976,s23,s35,s26622]) ).
cnf(s26724,plain,
spl0_611,
inference(rat,[],[s839,s27,s31,s33,s26629]) ).
cnf(s26738,plain,
spl0_207,
inference(rat,[],[s249,s25976,s23,s35,s26630]) ).
cnf(s26790,plain,
spl0_1012,
inference(rat,[],[s1321,s28,s30,s26677]) ).
cnf(s26791,plain,
spl0_1174,
inference(rat,[],[s1483,s28,s25527,s26677]) ).
cnf(s26808,plain,
spl0_225,
inference(rat,[],[s267,s25706,s34,s26691]) ).
cnf(s26842,plain,
spl0_1183,
inference(rat,[],[s1492,s28,s25527,s26724]) ).
cnf(s26861,plain,
spl0_226,
inference(rat,[],[s268,s25706,s34,s26738]) ).
cnf(s27312,plain,
spl0_130,
inference(rat,[],[s149,s15,s32,s9]) ).
cnf(s27313,plain,
spl0_51,
inference(rat,[],[s50,s26,s32,s9]) ).
cnf(s27314,plain,
spl0_44,
inference(rat,[],[s43,s23,s9]) ).
cnf(s27327,plain,
spl0_5328,
inference(rat,[],[s6230,s26808,s25976,s23,s35,s27312]) ).
cnf(s27331,plain,
spl0_366,
inference(rat,[],[s445,s26630,s26015,s26013,s26014,s15,s23,s35,s27312]) ).
cnf(s27340,plain,
spl0_115,
inference(rat,[],[s129,s25763,s19,s32,s34,s27313]) ).
cnf(s27348,plain,
spl0_3677,
inference(rat,[],[s4334,s26790,s35,s27314]) ).
cnf(s27352,plain,
spl0_78,
inference(rat,[],[s90,s25667,s27314]) ).
cnf(s27392,plain,
spl0_987,
inference(rat,[],[s1296,s28,s30,s27331]) ).
cnf(s27409,plain,
spl0_4323,
inference(rat,[],[s5054,s26791,s31,s27340]) ).
cnf(s27433,plain,
spl0_3679,
inference(rat,[],[s4336,s25940,s27348]) ).
cnf(s27464,plain,
spl0_89,
inference(rat,[],[s101,s25706,s34,s27352]) ).
cnf(s27621,plain,
spl0_202,
inference(rat,[],[s244,s25976,s23,s35,s27464]) ).
cnf(s27760,plain,
spl0_221,
inference(rat,[],[s263,s25706,s34,s27621]) ).
cnf(s27883,plain,
spl0_4335,
inference(rat,[],[s5066,s27409,s26543,s25877,s25706,s32,s34,s27760]) ).
cnf(s28079,plain,
spl0_128,
inference(rat,[],[s147,s15,s32,s8]) ).
cnf(s28080,plain,
spl0_50,
inference(rat,[],[s49,s26,s32,s8]) ).
cnf(s28081,plain,
spl0_43,
inference(rat,[],[s42,s23,s8]) ).
cnf(s28095,plain,
spl0_4672,
inference(rat,[],[s5448,s26861,s25976,s23,s35,s28079]) ).
cnf(s28099,plain,
spl0_365,
inference(rat,[],[s444,s26622,s26015,s26013,s26014,s15,s23,s35,s28079]) ).
cnf(s28107,plain,
spl0_114,
inference(rat,[],[s128,s25763,s19,s32,s34,s28080]) ).
cnf(s28119,plain,
spl0_76,
inference(rat,[],[s88,s25667,s28081]) ).
cnf(s28120,plain,
spl0_61,
inference(rat,[],[s60,s18,s28081]) ).
cnf(s28121,plain,
spl0_54,
inference(rat,[],[s53,s10,s26,s32,s28081]) ).
cnf(s28145,plain,
spl0_4712,
inference(rat,[],[s5500,s25940,s28095]) ).
cnf(s28162,plain,
spl0_13113,
inference(rat,[],[s15879,s25576,s30,s28099]) ).
cnf(s28165,plain,
spl0_1140,
inference(rat,[],[s1449,s28,s25527,s28099]) ).
cnf(s28174,plain,
spl0_4989,
inference(rat,[],[s5822,s26842,s31,s28107]) ).
cnf(s28229,plain,
spl0_90,
inference(rat,[],[s102,s25706,s34,s28119]) ).
cnf(s28236,plain,
spl0_95,
inference(rat,[],[s107,s25706,s34,s28120]) ).
cnf(s28244,plain,
spl0_442,
inference(rat,[],[s537,s25643,s32,s28121]) ).
cnf(s28377,plain,
spl0_201,
inference(rat,[],[s243,s25976,s23,s35,s28229]) ).
cnf(s28420,plain,
spl0_205,
inference(rat,[],[s247,s25976,s23,s35,s28236]) ).
cnf(s28441,plain,
spl0_489,
inference(rat,[],[s599,s34,s28244]) ).
cnf(s28495,plain,
spl0_220,
inference(rat,[],[s262,s25706,s34,s28377]) ).
cnf(s28531,plain,
spl0_224,
inference(rat,[],[s266,s25706,s34,s28420]) ).
cnf(s28533,plain,
spl0_1121,
inference(rat,[],[s1430,s17,s28,s28420]) ).
cnf(s28590,plain,
spl0_630,
inference(rat,[],[s862,s26145,s26014,s25974,s25526,s28441]) ).
cnf(s28629,plain,
spl0_5006,
inference(rat,[],[s5839,s28174,s26543,s25706,s25514,s32,s34,s28495]) ).
cnf(s28682,plain,
spl0_1842,
inference(rat,[],[s2177,s16,s28533]) ).
cnf(s28728,plain,
spl0_2145,
inference(rat,[],[s2538,s9,s35,s28590]) ).
cnf(s28809,plain,
spl0_2147,
inference(rat,[],[s2542,s28,s30,s28728]) ).
cnf(s28873,plain,
spl0_5581,
inference(rat,[],[s6533,s28629,s27621,s35,s28809]) ).
cnf(s28906,plain,
spl0_5586,
inference(rat,[],[s6538,s28682,s28873]) ).
cnf(s28956,plain,
spl0_13970,
inference(rat,[],[s16932,s28162,s27314,s35,s28906]) ).
cnf(s29004,plain,
spl0_13980,
inference(rat,[],[s16942,s28145,s28956]) ).
cnf(s29354,plain,
spl0_368,
inference(rat,[],[s448,s26016,s34,s7]) ).
cnf(s29357,plain,
spl0_126,
inference(rat,[],[s145,s15,s32,s7]) ).
cnf(s29359,plain,
spl0_42,
inference(rat,[],[s41,s23,s7]) ).
cnf(s29361,plain,
spl0_3324,
inference(rat,[],[s3941,s28165,s27392,s31,s29354]) ).
cnf(s29378,plain,
spl0_4039,
inference(rat,[],[s4750,s28531,s27348,s25976,s23,s35,s29357]) ).
cnf(s29396,plain,
spl0_72,
inference(rat,[],[s84,s25667,s29359]) ).
cnf(s29397,plain,
spl0_57,
inference(rat,[],[s56,s18,s29359]) ).
cnf(s29415,plain,
spl0_3329,
inference(rat,[],[s3946,s25706,s34,s29361]) ).
cnf(s29520,plain,
spl0_527,
inference(rat,[],[s647,s25935,s16,s29396]) ).
cnf(s29528,plain,
spl0_528,
inference(rat,[],[s648,s25935,s16,s29397]) ).
cnf(s29685,plain,
spl0_587,
inference(rat,[],[s785,s27,s31,s33,s29520]) ).
cnf(s29736,plain,
spl0_595,
inference(rat,[],[s803,s27,s31,s33,s29528]) ).
cnf(s29995,plain,
spl0_955,
inference(rat,[],[s1264,s28,s30,s29685]) ).
cnf(s30054,plain,
spl0_956,
inference(rat,[],[s1265,s28,s30,s29736]) ).
cnf(s30346,plain,
spl0_4338,
inference(rat,[],[s5069,s27883,s35,s30054]) ).
cnf(s30510,plain,
spl0_4442,
inference(rat,[],[s5184,s25940,s30346]) ).
cnf(s30513,plain,
spl0_5010,
inference(rat,[],[s5843,s29995,s28629,s29378,s35,s30346]) ).
cnf(s30636,plain,
spl0_8295,
inference(rat,[],[s10018,s30510,s30513]) ).
cnf(s30732,plain,
spl0_9547,
inference(rat,[],[s11555,s27433,s30636]) ).
cnf(s30870,plain,
spl0_41,
inference(rat,[],[s40,s23,s34,s6]) ).
cnf(s30904,plain,
spl0_420,
inference(rat,[],[s510,s32,s30870]) ).
cnf(s30905,plain,
spl0_74,
inference(rat,[],[s86,s25667,s30870]) ).
cnf(s30906,plain,
spl0_59,
inference(rat,[],[s58,s18,s30870]) ).
cnf(s30966,plain,
spl0_85,
inference(rat,[],[s97,s25706,s34,s30905]) ).
cnf(s30973,plain,
spl0_525,
inference(rat,[],[s659,s25935,s25883,s16,s30906]) ).
cnf(s30974,plain,
spl0_93,
inference(rat,[],[s105,s25706,s34,s30906]) ).
cnf(s31021,plain,
spl0_196,
inference(rat,[],[s238,s25976,s23,s35,s30966]) ).
cnf(s31054,plain,
spl0_571,
inference(rat,[],[s749,s27,s31,s33,s30973]) ).
cnf(s31068,plain,
spl0_203,
inference(rat,[],[s245,s25976,s23,s35,s30974]) ).
cnf(s31116,plain,
spl0_216,
inference(rat,[],[s258,s25706,s34,s31021]) ).
cnf(s31149,plain,
spl0_1002,
inference(rat,[],[s1311,s28,s30,s31054]) ).
cnf(s31150,plain,
spl0_1162,
inference(rat,[],[s1471,s28,s25527,s31054]) ).
cnf(s31171,plain,
spl0_222,
inference(rat,[],[s264,s25706,s34,s31068]) ).
cnf(s32232,plain,
spl0_125,
inference(rat,[],[s144,s15,s32,s5]) ).
cnf(s32233,plain,
spl0_48,
inference(rat,[],[s47,s26,s32,s5]) ).
cnf(s32234,plain,
spl0_40,
inference(rat,[],[s39,s23,s34,s5]) ).
cnf(s32265,plain,
spl0_3715,
inference(rat,[],[s4378,s31171,s25976,s23,s35,s32232]) ).
cnf(s32274,plain,
spl0_112,
inference(rat,[],[s126,s25763,s19,s32,s34,s32233]) ).
cnf(s32283,plain,
spl0_4281,
inference(rat,[],[s5008,s31150,s32234]) ).
cnf(s32287,plain,
spl0_71,
inference(rat,[],[s83,s25667,s32234]) ).
cnf(s32288,plain,
spl0_56,
inference(rat,[],[s55,s18,s32234]) ).
cnf(s32334,plain,
spl0_3748,
inference(rat,[],[s4420,s25940,s32265]) ).
cnf(s32394,plain,
spl0_86,
inference(rat,[],[s98,s25706,s34,s32287]) ).
cnf(s32401,plain,
spl0_84,
inference(rat,[],[s96,s25706,s34,s32288]) ).
cnf(s32445,plain,
spl0_3849,
inference(rat,[],[s4546,s26060,s25975,s32,s33,s32334]) ).
cnf(s32532,plain,
spl0_195,
inference(rat,[],[s237,s25976,s23,s35,s32394]) ).
cnf(s32573,plain,
spl0_192,
inference(rat,[],[s234,s25976,s23,s35,s32401]) ).
cnf(s32689,plain,
spl0_1065,
inference(rat,[],[s1374,s17,s28,s32532]) ).
cnf(s32729,plain,
spl0_1064,
inference(rat,[],[s1373,s17,s28,s32573]) ).
cnf(s32865,plain,
spl0_1813,
inference(rat,[],[s2148,s25886,s32689]) ).
cnf(s32866,plain,
spl0_1812,
inference(rat,[],[s2147,s16,s32689]) ).
cnf(s32915,plain,
spl0_1809,
inference(rat,[],[s2144,s26007,s25706,s32,s32729]) ).
cnf(s33011,plain,
spl0_3328,
inference(rat,[],[s3945,s29361,s32865]) ).
cnf(s33025,plain,
spl0_1980,
inference(rat,[],[s2333,s25885,s32866]) ).
cnf(s33350,plain,
spl0_123,
inference(rat,[],[s142,s15,s32,s4]) ).
cnf(s33352,plain,
spl0_39,
inference(rat,[],[s38,s23,s34,s4]) ).
cnf(s33403,plain,
spl0_419,
inference(rat,[],[s509,s32,s33352]) ).
cnf(s33404,plain,
spl0_75,
inference(rat,[],[s87,s25667,s33352]) ).
cnf(s33405,plain,
spl0_60,
inference(rat,[],[s59,s18,s33352]) ).
cnf(s33406,plain,
spl0_52,
inference(rat,[],[s51,s6,s26,s32,s33352]) ).
cnf(s33407,plain,
spl0_359,
inference(rat,[],[s437,s31171,s26145,s26014,s26013,s15,s23,s33352]) ).
cnf(s33515,plain,
spl0_82,
inference(rat,[],[s94,s25706,s34,s33404]) ).
cnf(s33521,plain,
spl0_736,
inference(rat,[],[s1002,s33,s33405]) ).
cnf(s33522,plain,
spl0_92,
inference(rat,[],[s104,s25706,s34,s33405]) ).
cnf(s33530,plain,
spl0_439,
inference(rat,[],[s534,s25643,s32,s33406]) ).
cnf(s33538,plain,
spl0_1161,
inference(rat,[],[s1470,s28,s25527,s33407]) ).
cnf(s33666,plain,
spl0_194,
inference(rat,[],[s236,s25976,s23,s35,s33515]) ).
cnf(s33694,plain,
spl0_12499,
inference(rat,[],[s15253,s15,s33521]) ).
cnf(s33706,plain,
spl0_204,
inference(rat,[],[s246,s25976,s23,s35,s33522]) ).
cnf(s33732,plain,
spl0_488,
inference(rat,[],[s597,s26060,s26014,s25974,s25526,s33530]) ).
cnf(s33847,plain,
spl0_214,
inference(rat,[],[s256,s25706,s34,s33666]) ).
cnf(s33886,plain,
spl0_223,
inference(rat,[],[s265,s25706,s34,s33706]) ).
cnf(s33888,plain,
spl0_1055,
inference(rat,[],[s1364,s17,s28,s33706]) ).
cnf(s33945,plain,
spl0_627,
inference(rat,[],[s859,s32234,s23,s35,s33732]) ).
cnf(s34050,plain,
spl0_1802,
inference(rat,[],[s2137,s16,s33888]) ).
cnf(s34099,plain,
spl0_1062,
inference(rat,[],[s1371,s28,s25527,s33945]) ).
cnf(s34262,plain,
spl0_1958,
inference(rat,[],[s2311,s25885,s34050]) ).
cnf(s34475,plain,
spl0_122,
inference(rat,[],[s141,s15,s32,s3]) ).
cnf(s34476,plain,
spl0_46,
inference(rat,[],[s45,s26,s32,s3]) ).
cnf(s34477,plain,
spl0_38,
inference(rat,[],[s37,s23,s3]) ).
cnf(s34491,plain,
spl0_2985,
inference(rat,[],[s3543,s33886,s25976,s23,s35,s34475]) ).
cnf(s34493,plain,
spl0_2986,
inference(rat,[],[s3544,s33847,s32288,s25976,s23,s35,s34475]) ).
cnf(s34497,plain,
spl0_110,
inference(rat,[],[s124,s25763,s19,s32,s34,s34476]) ).
cnf(s34504,plain,
spl0_5729,
inference(rat,[],[s6688,s25514,s34477]) ).
cnf(s34512,plain,
spl0_70,
inference(rat,[],[s82,s25667,s34477]) ).
cnf(s34513,plain,
spl0_55,
inference(rat,[],[s54,s18,s34477]) ).
cnf(s34531,plain,
spl0_4298,
inference(rat,[],[s5025,s32283,s34491]) ).
cnf(s34541,plain,
spl0_2994,
inference(rat,[],[s3553,s25706,s34,s34493]) ).
cnf(s34552,plain,
spl0_3470,
inference(rat,[],[s4094,s33538,s31,s34497]) ).
cnf(s34621,plain,
spl0_524,
inference(rat,[],[s651,s25935,s25883,s16,s34512]) ).
cnf(s34622,plain,
spl0_80,
inference(rat,[],[s92,s25706,s34,s34512]) ).
cnf(s34629,plain,
spl0_523,
inference(rat,[],[s652,s25935,s25883,s16,s34513]) ).
cnf(s34635,plain,
spl0_4306,
inference(rat,[],[s5036,s28,s34531]) ).
cnf(s34692,plain,
spl0_2998,
inference(rat,[],[s3557,s32,s34541]) ).
cnf(s34697,plain,
spl0_3705,
inference(rat,[],[s4365,s34513,s32232,s34541]) ).
cnf(s34733,plain,
spl0_3474,
inference(rat,[],[s4098,s17,s28,s34,s34552]) ).
cnf(s34797,plain,
spl0_563,
inference(rat,[],[s731,s27,s31,s33,s34621]) ).
cnf(s34813,plain,
spl0_190,
inference(rat,[],[s232,s25976,s23,s35,s34622]) ).
cnf(s34848,plain,
spl0_555,
inference(rat,[],[s713,s27,s31,s33,s34629]) ).
cnf(s34945,plain,
spl0_3088,
inference(rat,[],[s3659,s34,s34692]) ).
cnf(s34967,plain,
spl0_3726,
inference(rat,[],[s4390,s23,s34697]) ).
cnf(s35035,plain,
spl0_5904,
inference(rat,[],[s6873,s34635,s25514,s34733]) ).
cnf(s35065,plain,
spl0_918,
inference(rat,[],[s1227,s28,s30,s34797]) ).
cnf(s35122,plain,
spl0_12795,
inference(rat,[],[s15561,s25576,s30,s34848]) ).
cnf(s35123,plain,
spl0_925,
inference(rat,[],[s1234,s28,s30,s34848]) ).
cnf(s35219,plain,
spl0_3265,
inference(rat,[],[s3868,s34512,s33350,s34945]) ).
cnf(s35300,plain,
spl0_6400,
inference(rat,[],[s7480,s32915,s30904,s26007,s25706,s25514,s32,s35035]) ).
cnf(s35328,plain,
spl0_3743,
inference(rat,[],[s4414,s34967,s35,s35065]) ).
cnf(s35505,plain,
spl0_3289,
inference(rat,[],[s3897,s23,s35219]) ).
cnf(s35691,plain,
spl0_3614,
inference(rat,[],[s4257,s35123,s35,s35505]) ).
cnf(s35803,plain,
spl0_3616,
inference(rat,[],[s4259,s25940,s35691]) ).
cnf(s35806,plain,
spl0_3893,
inference(rat,[],[s4593,s34099,s26,s31,s35691]) ).
cnf(s35826,plain,
spl0_6487,
inference(rat,[],[s7583,s32445,s26060,s25975,s32,s33,s35803]) ).
cnf(s35829,plain,
spl0_3899,
inference(rat,[],[s4599,s32334,s35806]) ).
cnf(s35831,plain,
spl0_3897,
inference(rat,[],[s4597,s17,s35806]) ).
cnf(s35836,plain,
spl0_3901,
inference(rat,[],[s4601,s34262,s34,s35806]) ).
cnf(s35880,plain,
spl0_3903,
inference(rat,[],[s4603,s32,s35831]) ).
cnf(s35883,plain,
spl0_3905,
inference(rat,[],[s4605,s35328,s33350,s4,s35831]) ).
cnf(s35961,plain,
spl0_7239,
inference(rat,[],[s8528,s33350,s35880]) ).
cnf(s35991,plain,
spl0_3909,
inference(rat,[],[s4609,s17,s35883]) ).
cnf(s35998,plain,
spl0_3914,
inference(rat,[],[s4614,s33025,s34,s35883]) ).
cnf(s36010,plain,
spl0_11489,
inference(rat,[],[s14058,s33403,s31116,s25883,s16,s35883]) ).
cnf(s36177,plain,
spl0_5745,
inference(rat,[],[s6704,s25514,s35991]) ).
cnf(s36235,plain,
spl0_11493,
inference(rat,[],[s14062,s25514,s25513,s36010]) ).
cnf(s36245,plain,
spl0_15248,
inference(rat,[],[s18449,s35829,s29004,s30732,s29415,s28873,s27327,s29359,s27433,s26517,s26336,s25877,s26265,s25804,s25638,s25828,s25575,s26178,s25927,s25932,s26022,s26042,s26045,s25973,s26012,s25885,s25976,s12,s16,s34,s36010]) ).
cnf(s36389,plain,
spl0_9407,
inference(rat,[],[s11375,s34,s36177]) ).
cnf(s36509,plain,
spl0_15247,
inference(rat,[],[s18448,s35806,s29004,s32265,s30732,s28873,s27327,s29415,s29359,s27433,s26517,s26336,s25877,s26265,s25804,s25638,s25828,s25575,s25514,s25966,s26178,s25927,s25932,s26022,s26039,s26042,s26045,s25973,s26012,s25976,s12,s16,s32,s36235]) ).
cnf(s36524,plain,
spl0_20136,
inference(rat,[],[s24933,s35836,s35806,s33694,s35826,s32265,s26325,s26145,s26056,s25804,s26039,s36245]) ).
cnf(s36597,plain,
spl0_9828,
inference(rat,[],[s11933,s34477,s34,s36389]) ).
cnf(s36755,plain,
spl0_20119,
inference(rat,[],[s24898,s35998,s35883,s35961,s35328,s26325,s26145,s26056,s26039,s36509]) ).
cnf(s36756,plain,
spl0_20177,
inference(rat,[],[s24998,s18,s36524]) ).
cnf(s36777,plain,
spl0_20188,
inference(rat,[],[s25018,s35122,s34813,s35,s36524]) ).
cnf(s36824,plain,
spl0_9831,
inference(rat,[],[s11936,s26058,s36597]) ).
cnf(s36888,plain,
spl0_20284,
inference(rat,[],[s25152,s18,s36755]) ).
cnf(s36907,plain,
spl0_20242,
inference(rat,[],[s25094,s25940,s36756]) ).
cnf(s37039,plain,
spl0_10305,
inference(rat,[],[s12525,s35300,s31021,s25975,s15,s25705,s35,s36824]) ).
cnf(s37075,plain,
spl0_20329,
inference(rat,[],[s25228,s25940,s36888]) ).
cnf(s37241,plain,
spl0_20477,
inference(rat,[],[s25435,s36907,s36777,s34504,s16,s37075]) ).
cnf(s37302,plain,
spl0_2,
inference(rat,[],[s25469,s23,s37241]) ).
cnf(s37459,plain,
spl0_127,
inference(rat,[],[s146,s15,s32,s2]) ).
cnf(s37461,plain,
spl0_37,
inference(rat,[],[s36,s23,s2]) ).
cnf(s37483,plain,
spl0_4364,
inference(rat,[],[s5099,s31116,s30346,s25976,s23,s35,s37459]) ).
cnf(s37488,plain,
spl0_4357,
inference(rat,[],[s5092,s33011,s32234,s25976,s35,s37459]) ).
cnf(s37510,plain,
spl0_3665,
inference(rat,[],[s4319,s31149,s37461]) ).
cnf(s37514,plain,
spl0_73,
inference(rat,[],[s85,s25667,s37461]) ).
cnf(s37582,plain,
spl0_4379,
inference(rat,[],[s5115,s28,s37488]) ).
cnf(s37707,plain,
spl0_3670,
inference(rat,[],[s4325,s25940,s37510]) ).
cnf(s37736,plain,
spl0_83,
inference(rat,[],[s95,s25706,s34,s37514]) ).
cnf(s38097,plain,
spl0_3712,
inference(rat,[],[s4374,s32232,s25976,s23,s35,s37736]) ).
cnf(s38573,plain,
spl0_3744,
inference(rat,[],[s4415,s25940,s38097]) ).
cnf(s38576,plain,
spl0_12220,
inference(rat,[],[s14884,s37582,s25578,s25576,s38097]) ).
cnf(s39125,plain,
spl0_3813,
inference(rat,[],[s4498,s26008,s25881,s38573]) ).
cnf(s39702,plain,
spl0_3833,
inference(rat,[],[s4525,s26145,s26014,s25974,s25526,s39125]) ).
cnf(s40272,plain,
spl0_13630,
inference(rat,[],[s16494,s37039,s25576,s25527,s39702]) ).
cnf(s40817,plain,
spl0_15539,
inference(rat,[],[s18846,s38576,s37483,s32274,s30513,s25804,s31,s35,s40272]) ).
cnf(s41349,plain,
spl0_15543,
inference(rat,[],[s18850,s35880,s40817]) ).
cnf(s41860,plain,
spl0_1,
inference(rat,[],[s21493,s37707,s26515,s25804,s25789,s25823,s26007,s26008,s11,s25883,s30,s27,s41349]) ).
cnf(s45988,plain,
$false,
inference(rat,[],[s1,s37302,s41860]) ).
fof(f471933,plain,
$false,
inference(avatar_sat_refutation,[],[s45988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV003-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 10:51:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.37 Running first-order model finding
% 0.07/0.37 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
% 12.86/2.23 % (2206771)Will run a generic schedule for satisfiability detection.
% 12.86/2.23 % (2206777)% WARNING: option uhcvi not known.
% 12.86/2.23 % (2206777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3354800928:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 12.86/2.23 % (2206778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3296419224:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 12.86/2.23 % (2206776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=208180644_3000 on theBenchmark for (3000ds/0Mi)
% 12.86/2.23 % (2206779)dis+10_1_sil=32000:sp=arity:random_seed=1311522064:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 12.86/2.23 % (2206781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2944952970:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 12.86/2.23 % (2206780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1294661719:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 12.86/2.23 % (2206782)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3857561073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 12.86/2.23 % TRYING [1]
% 12.86/2.23 % TRYING [2]
% 12.86/2.23 % TRYING [3]
% 12.86/2.23 % TRYING [4]
% 12.86/2.23 % (2206779)Instruction limit reached!
% 12.86/2.23 % (2206779)------------------------------
% 12.86/2.23 % (2206779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.86/2.23 % (2206779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.23 % (2206779)CaDiCaL version: 2.1.3
% 12.86/2.23 % (2206779)Termination reason: Instruction limit
% 12.86/2.23 % (2206779)Termination phase: Saturation
% 12.86/2.23 % (2206779)Time elapsed: 0.047 s
% 12.86/2.23 % (2206779)Peak memory usage: 12 MB
% 12.86/2.23 % (2206779)Instructions burned: 104 (million)
% 12.86/2.23 % (2206780)Instruction limit reached!
% 12.86/2.23 % (2206780)------------------------------
% 12.86/2.23 % (2206780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.86/2.23 % (2206780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.23 % (2206780)CaDiCaL version: 2.1.3
% 12.86/2.23 % (2206780)Termination reason: Instruction limit
% 12.86/2.23 % (2206780)Termination phase: Saturation
% 12.86/2.23 % (2206780)Time elapsed: 0.057 s
% 12.86/2.23 % (2206780)Peak memory usage: 13 MB
% 12.86/2.23 % (2206780)Instructions burned: 116 (million)
% 12.86/2.23 % (2206781)Instruction limit reached!
% 12.86/2.23 % (2206781)------------------------------
% 12.86/2.23 % (2206781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.86/2.23 % (2206781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.23 % (2206781)CaDiCaL version: 2.1.3
% 12.86/2.23 % (2206781)Termination reason: Instruction limit
% 12.86/2.23 % (2206781)Termination phase: Saturation
% 12.86/2.23 % (2206781)Time elapsed: 0.058 s
% 12.86/2.23 % (2206781)Peak memory usage: 12 MB
% 12.86/2.23 % (2206781)Instructions burned: 131 (million)
% 12.86/2.23 % (2206790)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1725601438:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.86/2.23 % (2206792)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1043436690:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 12.86/2.23 % TRYING [1]
% 12.86/2.23 % TRYING [2]
% 12.86/2.23 % (2206791)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=835512941:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 12.86/2.23 % TRYING [3]
% 12.86/2.23 % (2206782)Instruction limit reached!
% 12.86/2.23 % (2206782)------------------------------
% 12.86/2.23 % (2206782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.86/2.23 % (2206782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.23 % (2206782)CaDiCaL version: 2.1.3
% 12.86/2.23 % (2206782)Termination reason: Instruction limit
% 12.86/2.23 % (2206782)Termination phase: Saturation
% 12.86/2.23 % (2206782)Time elapsed: 0.085 s
% 12.86/2.23 % (2206782)Peak memory usage: 13 MB
% 12.86/2.23 % (2206782)Instructions burned: 160 (million)
% 12.86/2.23 % TRYING [4]
% 12.86/2.23 % TRYING [5]
% 12.86/2.23 % (2206796)ott-21_1_sil=16000:fs=off:random_seed=2376555629:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.86/2.23 % (2206791)Instruction limit reached!
% 12.86/2.23 % (2206791)------------------------------
% 12.86/2.23 % (2206791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.63 % (2206791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.63 % (2206791)CaDiCaL version: 2.1.3
% 36.34/5.63 % (2206791)Termination reason: Instruction limit
% 36.34/5.63 % (2206791)Termination phase: Saturation
% 36.34/5.63 % (2206791)Time elapsed: 0.065 s
% 36.34/5.63 % (2206791)Peak memory usage: 13 MB
% 36.34/5.63 % (2206791)Instructions burned: 131 (million)
% 36.34/5.63 % TRYING [5]
% 36.34/5.63 % (2206798)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3610841890:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 36.34/5.63 % (2206796)Instruction limit reached!
% 36.34/5.63 % (2206796)------------------------------
% 36.34/5.63 % (2206796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.63 % (2206796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.63 % (2206796)CaDiCaL version: 2.1.3
% 36.34/5.63 % (2206796)Termination reason: Instruction limit
% 36.34/5.63 % (2206796)Termination phase: Saturation
% 36.34/5.63 % (2206796)Time elapsed: 0.081 s
% 36.34/5.63 % (2206796)Peak memory usage: 12 MB
% 36.34/5.63 % (2206796)Instructions burned: 180 (million)
% 36.34/5.63 % (2206800)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3488034903:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.34/5.63 % TRYING [1]
% 36.34/5.63 % TRYING [2]
% 36.34/5.63 % TRYING [3]
% 36.34/5.63 % TRYING [4]
% 36.34/5.63 % (2206790)Instruction limit reached!
% 36.34/5.63 % (2206790)------------------------------
% 36.34/5.63 % (2206790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.63 % (2206790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.63 % (2206790)CaDiCaL version: 2.1.3
% 36.34/5.63 % (2206790)Termination reason: Instruction limit
% 36.34/5.63 % (2206790)Termination phase: Finite model building constraint generation
% 36.34/5.63 % (2206790)Time elapsed: 0.250 s
% 36.34/5.63 % (2206790)Peak memory usage: 35 MB
% 36.34/5.63 % (2206790)Instructions burned: 716 (million)
% 36.34/5.63 % TRYING [5]
% 36.34/5.63 % TRYING [6]
% 36.34/5.63 % (2206802)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2867144144:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 36.34/5.63 % (2206792)Instruction limit reached!
% 36.34/5.63 % (2206792)------------------------------
% 36.34/5.63 % (2206792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.63 % (2206792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.63 % (2206792)CaDiCaL version: 2.1.3
% 36.34/5.63 % (2206792)Termination reason: Instruction limit
% 36.34/5.63 % (2206792)Termination phase: Saturation
% 36.34/5.63 % (2206792)Time elapsed: 0.336 s
% 36.34/5.63 % (2206792)Peak memory usage: 19 MB
% 36.34/5.63 % (2206792)Instructions burned: 684 (million)
% 36.34/5.63 % (2206798)Instruction limit reached!
% 36.34/5.63 % (2206798)------------------------------
% 36.34/5.63 % (2206798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.63 % (2206798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.63 % (2206798)CaDiCaL version: 2.1.3
% 36.34/5.63 % (2206798)Termination reason: Instruction limit
% 36.34/5.63 % (2206798)Termination phase: Saturation
% 36.34/5.63 % (2206798)Time elapsed: 0.237 s
% 36.34/5.63 % (2206798)Peak memory usage: 16 MB
% 36.34/5.63 % (2206798)Instructions burned: 477 (million)
% 36.34/5.63 % (2206804)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=687890319:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 36.34/5.63 % (2206800)Instruction limit reached!
% 36.34/5.63 % (2206800)------------------------------
% 36.34/5.63 % (2206800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.34/5.63 % (2206800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.34/5.63 % (2206800)CaDiCaL version: 2.1.3
% 36.34/5.63 % (2206800)Termination reason: Instruction limit
% 36.34/5.63 % (2206800)Termination phase: Finite model building constraint generation
% 36.34/5.63 % (2206800)Time elapsed: 0.237 s
% 36.34/5.63 % (2206800)Peak memory usage: 33 MB
% 36.34/5.63 % (2206800)Instructions burned: 867 (million)
% 36.34/5.63 % (2206805)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1920122167:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 36.34/5.63 % (2206807)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2068045893:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 36.34/5.63 % (2206805)Instruction limit reached!
% 86.25/12.68 % (2206805)------------------------------
% 86.25/12.68 % (2206805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.25/12.68 % (2206805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.25/12.68 % (2206805)CaDiCaL version: 2.1.3
% 86.25/12.68 % (2206805)Termination reason: Instruction limit
% 86.25/12.68 % (2206805)Termination phase: Saturation
% 86.25/12.68 % (2206805)Time elapsed: 0.361 s
% 86.25/12.68 % (2206805)Peak memory usage: 21 MB
% 86.25/12.68 % (2206805)Instructions burned: 693 (million)
% 86.25/12.68 % (2206810)fmb+10_1_sil=64000:random_seed=1194893772:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 86.25/12.68 % TRYING [1]
% 86.25/12.68 % TRYING [2]
% 86.25/12.68 % TRYING [3]
% 86.25/12.68 % TRYING [4]
% 86.25/12.68 % (2206804)Instruction limit reached!
% 86.25/12.68 % (2206804)------------------------------
% 86.25/12.68 % (2206804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.25/12.68 % (2206804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.25/12.68 % (2206804)CaDiCaL version: 2.1.3
% 86.25/12.68 % (2206804)Termination reason: Instruction limit
% 86.25/12.68 % (2206804)Termination phase: Finite model building constraint generation
% 86.25/12.68 % (2206804)Time elapsed: 0.451 s
% 86.25/12.68 % (2206804)Peak memory usage: 107 MB
% 86.25/12.68 % (2206804)Instructions burned: 890 (million)
% 86.25/12.68 % (2206807)Instruction limit reached!
% 86.25/12.68 % (2206807)------------------------------
% 86.25/12.68 % (2206807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.25/12.68 % (2206807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.25/12.68 % (2206807)CaDiCaL version: 2.1.3
% 86.25/12.68 % (2206807)Termination reason: Instruction limit
% 86.25/12.68 % (2206807)Termination phase: Saturation
% 86.25/12.68 % (2206807)Time elapsed: 0.425 s
% 86.25/12.68 % (2206807)Peak memory usage: 21 MB
% 86.25/12.68 % (2206807)Instructions burned: 880 (million)
% 86.25/12.68 % (2206802)Instruction limit reached!
% 86.25/12.68 % (2206802)------------------------------
% 86.25/12.68 % (2206802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.25/12.68 % (2206802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.25/12.68 % (2206802)CaDiCaL version: 2.1.3
% 86.25/12.68 % (2206802)Termination reason: Instruction limit
% 86.25/12.68 % (2206802)Termination phase: Saturation
% 86.25/12.68 % (2206802)Time elapsed: 0.559 s
% 86.25/12.68 % (2206802)Peak memory usage: 26 MB
% 86.25/12.68 % (2206802)Instructions burned: 1179 (million)
% 86.25/12.68 % (2206813)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=320926252:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 86.25/12.68 % (2206812)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=569772893:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 86.25/12.68 % TRYING [8]
% 86.25/12.68 % TRYING [20]
% 86.25/12.68 % (2206814)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3698879418:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 86.25/12.68 % TRYING [5]
% 86.25/12.68 % TRYING [7]
% 86.25/12.68 % (2206813)Instruction limit reached!
% 86.25/12.68 % (2206813)------------------------------
% 86.25/12.68 % (2206813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.25/12.68 % (2206813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.25/12.68 % (2206813)CaDiCaL version: 2.1.3
% 86.25/12.68 % (2206813)Termination reason: Instruction limit
% 86.25/12.68 % (2206813)Termination phase: Finite model building constraint generation
% 86.25/12.68 % (2206813)Time elapsed: 0.289 s
% 86.25/12.68 % (2206813)Peak memory usage: 63 MB
% 86.25/12.68 % (2206813)Instructions burned: 923 (million)
% 86.25/12.68 % (2206818)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=297851881:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 86.25/12.68 % TRYING [6]
% 86.25/12.68 % (2206818)Instruction limit reached!
% 86.25/12.68 % (2206818)------------------------------
% 86.25/12.68 % (2206818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.25/12.68 % (2206818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.25/12.68 % (2206818)CaDiCaL version: 2.1.3
% 86.25/12.68 % (2206818)Termination reason: Instruction limit
% 86.25/12.68 % (2206818)Termination phase: Saturation
% 86.25/12.68 % (2206818)Time elapsed: 0.562 s
% 86.25/12.68 % (2206818)Peak memory usage: 30 MB
% 86.25/12.68 % (2206818)Instructions burned: 1473 (million)
% 86.25/12.68 % (2206820)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3906337702:i=6324_2981 on theBenchmark for (2981ds/6324Mi)
% 86.25/12.68 % (2206820)Cannot represent all propositional literals internally
% 187.10/27.02 % (2206820)Refutation not found, incomplete strategy
% 187.10/27.02 % (2206820)------------------------------
% 187.10/27.02 % (2206820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.10/27.02 % (2206820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.10/27.02 % (2206820)CaDiCaL version: 2.1.3
% 187.10/27.02 % (2206820)Termination reason: Refutation not found, incomplete strategy
% 187.10/27.02 % (2206820)Time elapsed: 0.003 s
% 187.10/27.02 % (2206820)Peak memory usage: 10 MB
% 187.10/27.02 % (2206820)Instructions burned: 10 (million)
% 187.10/27.02 % (2206820)------------------------------
% 187.10/27.02 % (2206820)------------------------------
% 187.10/27.02 % (2206822)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=668936560:fmbsr=2.30978:i=2174_2981 on theBenchmark for (2981ds/2174Mi)
% 187.10/27.02 % TRYING [16]
% 187.10/27.02 % (2206822)Instruction limit reached!
% 187.10/27.02 % (2206822)------------------------------
% 187.10/27.02 % (2206822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.10/27.02 % (2206822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.10/27.02 % (2206822)CaDiCaL version: 2.1.3
% 187.10/27.02 % (2206822)Termination reason: Instruction limit
% 187.10/27.02 % (2206822)Termination phase: Finite model building constraint generation
% 187.10/27.02 % (2206822)Time elapsed: 0.494 s
% 187.10/27.02 % (2206822)Peak memory usage: 137 MB
% 187.10/27.02 % (2206822)Instructions burned: 2180 (million)
% 187.10/27.02 % (2206826)ott-2_1_sil=16000:newcnf=on:random_seed=1172041066:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2976 on theBenchmark for (2976ds/869Mi)
% 187.10/27.02 % (2206826)Instruction limit reached!
% 187.10/27.02 % (2206826)------------------------------
% 187.10/27.02 % (2206826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.10/27.02 % (2206826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.10/27.02 % (2206826)CaDiCaL version: 2.1.3
% 187.10/27.02 % (2206826)Termination reason: Instruction limit
% 187.10/27.02 % (2206826)Termination phase: Saturation
% 187.10/27.02 % (2206826)Time elapsed: 0.409 s
% 187.10/27.02 % (2206826)Peak memory usage: 21 MB
% 187.10/27.02 % (2206826)Instructions burned: 870 (million)
% 187.10/27.02 % (2206828)ott+10_1_sil=32000:tgt=ground:random_seed=1943757607:i=5114:av=off_2971 on theBenchmark for (2971ds/5114Mi)
% 187.10/27.02 % TRYING [8]
% 187.10/27.02 % (2206814)Instruction limit reached!
% 187.10/27.02 % (2206814)------------------------------
% 187.10/27.02 % (2206814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.10/27.02 % (2206814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.10/27.02 % (2206814)CaDiCaL version: 2.1.3
% 187.10/27.02 % (2206814)Termination reason: Instruction limit
% 187.10/27.02 % (2206814)Termination phase: Saturation
% 187.10/27.02 % (2206814)Time elapsed: 2.395 s
% 187.10/27.02 % (2206814)Peak memory usage: 59 MB
% 187.10/27.02 % (2206814)Instructions burned: 5133 (million)
% 187.10/27.02 % (2206830)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2503371579:i=54282_2966 on theBenchmark for (2966ds/54282Mi)
% 187.10/27.02 % TRYING [1]
% 187.10/27.02 % TRYING [2]
% 187.10/27.02 % TRYING [3]
% 187.10/27.02 % TRYING [4]
% 187.10/27.02 % TRYING [5]
% 187.10/27.02 % TRYING [6]
% 187.10/27.02 % TRYING [7]
% 187.10/27.02 % TRYING [7]
% 187.10/27.02 % (2206812)Instruction limit reached!
% 187.10/27.02 % (2206812)------------------------------
% 187.10/27.02 % (2206812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.10/27.02 % (2206812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.10/27.02 % (2206812)CaDiCaL version: 2.1.3
% 187.10/27.02 % (2206812)Termination reason: Instruction limit
% 187.10/27.02 % (2206812)Termination phase: Finite model building constraint generation
% 187.10/27.02 % (2206812)Time elapsed: 3.658 s
% 187.10/27.02 % (2206812)Peak memory usage: 677 MB
% 187.10/27.02 % (2206812)Instructions burned: 9516 (million)
% 187.10/27.02 % (2206834)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1240608251:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 187.10/27.02 % (2206828)Instruction limit reached!
% 187.10/27.02 % (2206828)------------------------------
% 187.10/27.02 % (2206828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 187.10/27.02 % (2206828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.10/27.02 % (2206828)CaDiCaL version: 2.1.3
% 187.10/27.02 % (2206828)Termination reason: Instruction limit
% 187.10/27.02 % (2206828)Termination phase: Saturation
% 187.10/27.02 % (2206828)Time elapsed: 2.430 s
% 187.10/27.02 % (2206828)Peak memory usage: 62 MB
% 240.69/34.54 % (2206828)Instructions burned: 5114 (million)
% 240.69/34.54 % (2206838)dis+21_1_sil=32000:sas=cadical:random_seed=883461673:i=3773:amm=off_2947 on theBenchmark for (2947ds/3773Mi)
% 240.69/34.54 % (2206834)Instruction limit reached!
% 240.69/34.54 % (2206834)------------------------------
% 240.69/34.54 % (2206834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 240.69/34.54 % (2206834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 240.69/34.54 % (2206834)CaDiCaL version: 2.1.3
% 240.69/34.54 % (2206834)Termination reason: Instruction limit
% 240.69/34.54 % (2206834)Termination phase: Saturation
% 240.69/34.54 % (2206834)Time elapsed: 1.484 s
% 240.69/34.54 % (2206834)Peak memory usage: 45 MB
% 240.69/34.54 % (2206834)Instructions burned: 3512 (million)
% 240.69/34.54 % (2206840)ott+11_1_sil=16000:gs=on:random_seed=373303290:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2937 on theBenchmark for (2937ds/2251Mi)
% 240.69/34.54 % TRYING [8]
% 240.69/34.54 % (2206838)Instruction limit reached!
% 240.69/34.54 % (2206838)------------------------------
% 240.69/34.54 % (2206838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 240.69/34.54 % (2206838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 240.69/34.54 % (2206838)CaDiCaL version: 2.1.3
% 240.69/34.54 % (2206838)Termination reason: Instruction limit
% 240.69/34.54 % (2206838)Termination phase: Saturation
% 240.69/34.54 % (2206838)Time elapsed: 1.816 s
% 240.69/34.54 % (2206838)Peak memory usage: 47 MB
% 240.69/34.54 % (2206838)Instructions burned: 3775 (million)
% 240.69/34.54 % (2206842)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2864853005:fmbsr=1.6:i=67534_2928 on theBenchmark for (2928ds/67534Mi)
% 240.69/34.54 % TRYING [7]
% 240.69/34.54 % (2206840)Instruction limit reached!
% 240.69/34.54 % (2206840)------------------------------
% 240.69/34.54 % (2206840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 240.69/34.54 % (2206840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 240.69/34.54 % (2206840)CaDiCaL version: 2.1.3
% 240.69/34.54 % (2206840)Termination reason: Instruction limit
% 240.69/34.54 % (2206840)Termination phase: Saturation
% 240.69/34.54 % (2206840)Time elapsed: 1.171 s
% 240.69/34.54 % (2206840)Peak memory usage: 32 MB
% 240.69/34.54 % (2206840)Instructions burned: 2251 (million)
% 240.69/34.54 % (2206846)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1880387909:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2925 on theBenchmark for (2925ds/4591Mi)
% 240.69/34.54 % (2206810)Instruction limit reached!
% 240.69/34.54 % (2206810)------------------------------
% 240.69/34.54 % (2206810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 240.69/34.54 % (2206810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 240.69/34.54 % (2206810)CaDiCaL version: 2.1.3
% 240.69/34.54 % (2206810)Termination reason: Instruction limit
% 240.69/34.54 % (2206810)Termination phase: Finite model building SAT solving
% 240.69/34.54 % (2206810)Time elapsed: 6.878 s
% 240.69/34.54 % (2206810)Peak memory usage: 222 MB
% 240.69/34.54 % (2206810)Instructions burned: 22066 (million)
% 240.69/34.54 % (2206848)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=336547729:i=29340_2922 on theBenchmark for (2922ds/29340Mi)
% 240.69/34.54 % (2206846)Instruction limit reached!
% 240.69/34.54 % (2206846)------------------------------
% 240.69/34.54 % (2206846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 240.69/34.54 % (2206846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 240.69/34.54 % (2206846)CaDiCaL version: 2.1.3
% 240.69/34.54 % (2206846)Termination reason: Instruction limit
% 240.69/34.54 % (2206846)Termination phase: Saturation
% 240.69/34.54 % (2206846)Time elapsed: 2.342 s
% 240.69/34.54 % (2206846)Peak memory usage: 51 MB
% 240.69/34.54 % (2206846)Instructions burned: 4591 (million)
% 240.69/34.54 % (2206850)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2759983194:i=5211_2902 on theBenchmark for (2902ds/5211Mi)
% 240.69/34.54 % (2206850)Instruction limit reached!
% 240.69/34.54 % (2206850)------------------------------
% 240.69/34.54 % (2206850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 240.69/34.54 % (2206850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 240.69/34.54 % (2206850)CaDiCaL version: 2.1.3
% 240.69/34.54 % (2206850)Termination reason: Instruction limit
% 240.69/34.54 % (2206850)Termination phase: Saturation
% 240.69/34.54 % (2206850)Time elapsed: 2.489 s
% 240.69/34.54 % (2206850)Peak memory usage: 61 MB
% 240.69/34.54 % (2206850)Instructions burned: 5212 (million)
% 241.30/40.43 % (2206856)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3707096005:i=5497:nm=2_2876 on theBenchmark for (2876ds/5497Mi)
% 241.30/40.43 % TRYING [17]
% 241.30/40.43 % (2206856)Instruction limit reached!
% 241.30/40.43 % (2206856)------------------------------
% 241.30/40.43 % (2206856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2206856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2206856)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2206856)Termination reason: Instruction limit
% 241.30/40.43 % (2206856)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2206856)Time elapsed: 1.488 s
% 241.30/40.43 % (2206856)Peak memory usage: 396 MB
% 241.30/40.43 % (2206856)Instructions burned: 5501 (million)
% 241.30/40.43 % (2206934)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2472850179:fmbsr=2:i=46332_2861 on theBenchmark for (2861ds/46332Mi)
% 241.30/40.43 % TRYING [15]
% 241.30/40.43 % (2206848)Instruction limit reached!
% 241.30/40.43 % (2206848)------------------------------
% 241.30/40.43 % (2206848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2206848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2206848)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2206848)Termination reason: Instruction limit
% 241.30/40.43 % (2206848)Termination phase: Saturation
% 241.30/40.43 % (2206848)Time elapsed: 9.893 s
% 241.30/40.43 % (2206848)Peak memory usage: 108 MB
% 241.30/40.43 % (2206848)Instructions burned: 29343 (million)
% 241.30/40.43 % (2207014)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2725267786:i=14071_2823 on theBenchmark for (2823ds/14071Mi)
% 241.30/40.43 % TRYING [12]
% 241.30/40.43 % (2207014)Instruction limit reached!
% 241.30/40.43 % (2207014)------------------------------
% 241.30/40.43 % (2207014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207014)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207014)Termination reason: Instruction limit
% 241.30/40.43 % (2207014)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2207014)Time elapsed: 2.533 s
% 241.30/40.43 % (2207014)Peak memory usage: 742 MB
% 241.30/40.43 % (2207014)Instructions burned: 14077 (million)
% 241.30/40.43 % (2207016)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=686552842:i=22565:add=on:rawr=on_2796 on theBenchmark for (2796ds/22565Mi)
% 241.30/40.43 % (2206934)Instruction limit reached!
% 241.30/40.43 % (2206934)------------------------------
% 241.30/40.43 % (2206934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2206934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2206934)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2206934)Termination reason: Instruction limit
% 241.30/40.43 % (2206934)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2206934)Time elapsed: 8.268 s
% 241.30/40.43 % (2206934)Peak memory usage: 2153 MB
% 241.30/40.43 % (2206934)Instructions burned: 46338 (million)
% 241.30/40.43 % (2207018)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3758337924:i=8173:av=off_2776 on theBenchmark for (2776ds/8173Mi)
% 241.30/40.43 % TRYING [9]
% 241.30/40.43 % (2207018)Instruction limit reached!
% 241.30/40.43 % (2207018)------------------------------
% 241.30/40.43 % (2207018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207018)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207018)Termination reason: Instruction limit
% 241.30/40.43 % (2207018)Termination phase: Saturation
% 241.30/40.43 % (2207018)Time elapsed: 2.686 s
% 241.30/40.43 % (2207018)Peak memory usage: 86 MB
% 241.30/40.43 % (2207018)Instructions burned: 8173 (million)
% 241.30/40.43 % TRYING [9]
% 241.30/40.43 % (2207020)dis+10_16:1_sil=16000:random_seed=2069531731:i=9155:fsr=off_2749 on theBenchmark for (2749ds/9155Mi)
% 241.30/40.43 % (2207016)Instruction limit reached!
% 241.30/40.43 % (2207016)------------------------------
% 241.30/40.43 % (2207016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207016)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207016)Termination reason: Instruction limit
% 241.30/40.43 % (2207016)Termination phase: Saturation
% 241.30/40.43 % (2207016)Time elapsed: 6.322 s
% 241.30/40.43 % (2207016)Peak memory usage: 170 MB
% 241.30/40.43 % (2207016)Instructions burned: 22568 (million)
% 241.30/40.43 % (2207022)ott-3_8_sil=64000:random_seed=3440000971:i=20139:bs=on_2733 on theBenchmark for (2733ds/20139Mi)
% 241.30/40.43 % (2206778)Instruction limit reached!
% 241.30/40.43 % (2206778)------------------------------
% 241.30/40.43 % (2206778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2206778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2206778)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2206778)Termination reason: Instruction limit
% 241.30/40.43 % (2206778)Termination phase: Saturation
% 241.30/40.43 % (2206778)Time elapsed: 26.961 s
% 241.30/40.43 % (2206778)Peak memory usage: 481 MB
% 241.30/40.43 % (2206778)Instructions burned: 88025 (million)
% 241.30/40.43 % (2207024)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1648445394:fmbsr=2:i=32576_2729 on theBenchmark for (2729ds/32576Mi)
% 241.30/40.43 % TRYING [9]
% 241.30/40.43 % (2207020)Instruction limit reached!
% 241.30/40.43 % (2207020)------------------------------
% 241.30/40.43 % (2207020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207020)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207020)Termination reason: Instruction limit
% 241.30/40.43 % (2207020)Termination phase: Saturation
% 241.30/40.43 % (2207020)Time elapsed: 2.512 s
% 241.30/40.43 % (2207020)Peak memory usage: 68 MB
% 241.30/40.43 % (2207020)Instructions burned: 9157 (million)
% 241.30/40.43 % (2207026)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1977293651:i=11404_2724 on theBenchmark for (2724ds/11404Mi)
% 241.30/40.43 % (2206830)Instruction limit reached!
% 241.30/40.43 % (2206830)------------------------------
% 241.30/40.43 % (2206830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2206830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2206830)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2206830)Termination reason: Instruction limit
% 241.30/40.43 % (2206830)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2206830)Time elapsed: 25.476 s
% 241.30/40.43 % (2206830)Peak memory usage: 1021 MB
% 241.30/40.43 % (2206830)Instructions burned: 54285 (million)
% 241.30/40.43 % (2207162)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2019096487:i=14134_2710 on theBenchmark for (2710ds/14134Mi)
% 241.30/40.43 % TRYING [10]
% 241.30/40.43 % TRYING [8]
% 241.30/40.43 % (2207026)Instruction limit reached!
% 241.30/40.43 % (2207026)------------------------------
% 241.30/40.43 % (2207026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207026)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207026)Termination reason: Instruction limit
% 241.30/40.43 % (2207026)Termination phase: Saturation
% 241.30/40.43 % (2207026)Time elapsed: 3.765 s
% 241.30/40.43 % (2207026)Peak memory usage: 114 MB
% 241.30/40.43 % (2207026)Instructions burned: 11404 (million)
% 241.30/40.43 % (2207307)dis+33_16_sil=32000:sac=on:random_seed=1330504730:i=15851:nm=0_2686 on theBenchmark for (2686ds/15851Mi)
% 241.30/40.43 % (2206842)Instruction limit reached!
% 241.30/40.43 % (2206842)------------------------------
% 241.30/40.43 % (2206842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2206842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2206842)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2206842)Termination reason: Instruction limit
% 241.30/40.43 % (2206842)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2206842)Time elapsed: 24.259 s
% 241.30/40.43 % (2206842)Peak memory usage: 284 MB
% 241.30/40.43 % (2206842)Instructions burned: 67540 (million)
% 241.30/40.43 % (2207309)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=311637132:avsq=on:i=17627:add=on:amm=off_2685 on theBenchmark for (2685ds/17627Mi)
% 241.30/40.43 % (2207162)Instruction limit reached!
% 241.30/40.43 % (2207162)------------------------------
% 241.30/40.43 % (2207162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207162)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207162)Termination reason: Instruction limit
% 241.30/40.43 % (2207162)Termination phase: Saturation
% 241.30/40.43 % (2207162)Time elapsed: 5.190 s
% 241.30/40.43 % (2207162)Peak memory usage: 128 MB
% 241.30/40.43 % (2207162)Instructions burned: 14136 (million)
% 241.30/40.43 % (2207022)Instruction limit reached!
% 241.30/40.43 % (2207022)------------------------------
% 241.30/40.43 % (2207022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207022)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207022)Termination reason: Instruction limit
% 241.30/40.43 % (2207022)Termination phase: Saturation
% 241.30/40.43 % (2207022)Time elapsed: 7.492 s
% 241.30/40.43 % (2207022)Peak memory usage: 182 MB
% 241.30/40.43 % (2207022)Instructions burned: 20141 (million)
% 241.30/40.43 % (2207311)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2044225280:s2a=on:i=53295_2658 on theBenchmark for (2658ds/53295Mi)
% 241.30/40.43 % (2207312)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=280717988:i=26857:ins=20_2658 on theBenchmark for (2658ds/26857Mi)
% 241.30/40.43 % TRYING [16]
% 241.30/40.43 % TRYING [10]
% 241.30/40.43 % (2207024)Instruction limit reached!
% 241.30/40.43 % (2207024)------------------------------
% 241.30/40.43 % (2207024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207024)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207024)Termination reason: Instruction limit
% 241.30/40.43 % (2207024)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2207024)Time elapsed: 8.904 s
% 241.30/40.43 % (2207024)Peak memory usage: 1399 MB
% 241.30/40.43 % (2207024)Instructions burned: 32579 (million)
% 241.30/40.43 % (2207307)Instruction limit reached!
% 241.30/40.43 % (2207307)------------------------------
% 241.30/40.43 % (2207307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207307)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207307)Termination reason: Instruction limit
% 241.30/40.43 % (2207307)Termination phase: Saturation
% 241.30/40.43 % (2207307)Time elapsed: 4.648 s
% 241.30/40.43 % (2207307)Peak memory usage: 158 MB
% 241.30/40.43 % (2207307)Instructions burned: 15855 (million)
% 241.30/40.43 % (2207315)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=612367947:i=28120:bs=on:fsr=off_2639 on theBenchmark for (2639ds/28120Mi)
% 241.30/40.43 % (2207316)fmb+10_1_sil=256000:fmbss=7:random_seed=2259011839:fmbsr=1.6:i=182295_2639 on theBenchmark for (2639ds/182295Mi)
% 241.30/40.43 % TRYING [7]
% 241.30/40.43 % (2207309)Instruction limit reached!
% 241.30/40.43 % (2207309)------------------------------
% 241.30/40.43 % (2207309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207309)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207309)Termination reason: Instruction limit
% 241.30/40.43 % (2207309)Termination phase: Saturation
% 241.30/40.43 % (2207309)Time elapsed: 4.815 s
% 241.30/40.43 % (2207309)Peak memory usage: 147 MB
% 241.30/40.43 % (2207309)Instructions burned: 17628 (million)
% 241.30/40.43 % (2207319)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=1433836129:i=44625:gsp=on_2637 on theBenchmark for (2637ds/44625Mi)
% 241.30/40.43 % TRYING [21]
% 241.30/40.43 % (2207312)Instruction limit reached!
% 241.30/40.43 % (2207312)------------------------------
% 241.30/40.43 % (2207312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.43 % (2207312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.43 % (2207312)CaDiCaL version: 2.1.3
% 241.30/40.43 % (2207312)Termination reason: Instruction limit
% 241.30/40.43 % (2207312)Termination phase: Finite model building constraint generation
% 241.30/40.43 % (2207312)Time elapsed: 5.057 s
% 241.30/40.43 % (2207312)Peak memory usage: 1708 MB
% 241.30/40.43 % (2207312)Instructions burned: 26863 (million)
% 241.30/40.43 % (2207321)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=2916010727:i=160505_2606 on theBenchmark for (2606ds/160505Mi)
% 241.30/40.43 % TRYING [15]
% 241.30/40.43 % (2207311) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2206771-2207311"...
% 241.30/40.43 % (2207311)...printing done.
% 241.30/40.43 % (2207311)Refutation found. Thanks to Tanya!
% 241.30/40.43 % SZS status Unsatisfiable for theBenchmark
% 241.30/40.43 % SZS output start Proof for theBenchmark
% See solution above
% 241.30/40.44 % (2207311)------------------------------
% 241.30/40.44 % (2207311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 241.30/40.44 % (2207311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.30/40.44 % (2207311)CaDiCaL version: 2.1.3
% 241.30/40.44 % (2207311)Termination reason: Refutation
% 241.30/40.44 % (2207311)Time elapsed: 5.627 s
% 241.30/40.44 % (2207311)Peak memory usage: 246 MB
% 241.30/40.44 % (2207311)Instructions burned: 18818 (million)
% 241.30/40.44 % (2206771)Success in time 40.056 s
% 241.30/40.44 % Vampire exiting
%------------------------------------------------------------------------------