TSTP Solution File: SYO500_8.008 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYO500_8.008 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:52:16 EDT 2024
% Result : Theorem 7.10s 1.63s
% Output : CNFRefutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 70
% Syntax : Number of formulae : 848 ( 10 unt; 39 typ; 0 def)
% Number of atoms : 662091 ( 0 equ)
% Maximal formula atoms : 196607 ( 818 avg)
% Number of connectives : 992377 (331095 ~;441887 |;219337 &)
% ( 58 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of predicates : 41 ( 39 usr; 33 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x: $o ).
tff(decl_23,type,
f0: $o > $o ).
tff(decl_24,type,
f1: $o > $o ).
tff(decl_25,type,
f2: $o > $o ).
tff(decl_26,type,
f3: $o > $o ).
tff(decl_27,type,
f4: $o > $o ).
tff(decl_28,type,
f5: $o > $o ).
tff(decl_29,type,
f6: $o > $o ).
tff(decl_30,type,
f7: $o > $o ).
tff(decl_31,type,
epred1_0: $o ).
tff(decl_32,type,
epred2_0: $o ).
tff(decl_33,type,
epred3_0: $o ).
tff(decl_34,type,
epred4_0: $o ).
tff(decl_35,type,
epred5_0: $o ).
tff(decl_36,type,
epred6_0: $o ).
tff(decl_37,type,
epred7_0: $o ).
tff(decl_38,type,
epred8_0: $o ).
tff(decl_39,type,
epred9_0: $o ).
tff(decl_40,type,
epred10_0: $o ).
tff(decl_41,type,
epred11_0: $o ).
tff(decl_42,type,
epred12_0: $o ).
tff(decl_43,type,
epred13_0: $o ).
tff(decl_44,type,
epred14_0: $o ).
tff(decl_45,type,
epred15_0: $o ).
tff(decl_46,type,
epred16_0: $o ).
tff(decl_47,type,
epred17_0: $o ).
tff(decl_48,type,
epred18_0: $o ).
tff(decl_49,type,
epred19_0: $o ).
tff(decl_50,type,
epred20_0: $o ).
tff(decl_51,type,
epred21_0: $o ).
tff(decl_52,type,
epred22_0: $o ).
tff(decl_53,type,
epred23_0: $o ).
tff(decl_54,type,
epred24_0: $o ).
tff(decl_55,type,
epred25_0: $o ).
tff(decl_56,type,
epred26_0: $o ).
tff(decl_57,type,
epred27_0: $o ).
tff(decl_58,type,
epred28_0: $o ).
tff(decl_59,type,
epred29_0: $o ).
tff(decl_60,type,
epred30_0: $o ).
fof(kaminski8,conjecture,
( f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x))))))))))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski8) ).
fof(c_0_1,plain,
( epred15_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f5($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| f5($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f5($false) ) )
| f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| f5($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f5($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| f5($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f5($false) ) )
| f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f5($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
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| f4($false) ) )
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| ~ f7($true) )
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& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| ~ f6($false) ) )
| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
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| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f5($false) ) )
| f4($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
| ~ f7($false) ) )
| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
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| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
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| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| ~ f6($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
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| ~ f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
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| f6($true) )
& ( ( ( ( ( ~ x
| ~ f7($true) )
& ( x
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| f6($true) )
& ( ( ( ~ x
| f7($true) )
& ( x
| f7($false) ) )
| f6($false) ) )
| f6($false) ) )
| ~ f6($false) ) )
| f5($true) )
&