TSTP Solution File: GRA067^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRA067^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : Mon May 20 20:41:13 EDT 2024
% Result : Theorem 9.47s 2.09s
% Output : CNFRefutation 9.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 46
% Syntax : Number of formulae : 67 ( 8 unt; 43 typ; 0 def)
% Number of atoms : 1068 ( 5 equ; 0 cnn)
% Maximal formula atoms : 819 ( 44 avg)
% Number of connectives : 5125 ( 861 ~; 643 |; 888 &;2719 @)
% ( 2 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 279 ( 45 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 967 ( 967 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 43 usr; 6 con; 0-3 aty)
% Number of variables : 124 ( 0 ^ 122 !; 2 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
epred1_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o ).
thf(decl_23,type,
epred2_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o ).
thf(decl_24,type,
epred3_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_25,type,
epred4_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_26,type,
epred5_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_27,type,
epred6_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_28,type,
epred7_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_29,type,
epred8_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_30,type,
epred9_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_31,type,
epred10_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_32,type,
epred11_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_33,type,
epred12_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_34,type,
epred13_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_35,type,
epred14_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_36,type,
epred15_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_37,type,
epred16_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_38,type,
epred17_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_39,type,
epred18_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_40,type,
epred19_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_41,type,
epred20_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_42,type,
epred21_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_43,type,
epred22_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_44,type,
epred23_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_45,type,
epred24_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_46,type,
epred25_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).
thf(decl_47,type,
epred26_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_48,type,
epred27_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_49,type,
epred28_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_50,type,
epred29_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_51,type,
epred30_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_52,type,
epred31_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_53,type,
epred32_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_54,type,
epred33_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_55,type,
epred34_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_56,type,
epred35_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_57,type,
epred36_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_58,type,
epred37_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_59,type,
epred38_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).
thf(decl_308,type,
esk249_0: $o ).
thf(decl_309,type,
esk250_1: $o > $o ).
thf(decl_316,type,
epred39_0: $o ).
thf(decl_317,type,
epred40_0: $o ).
thf(decl_318,type,
epred41_0: $o ).
thf(ramsey_l_4_14_256a,conjecture,
? [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( X8 @ X4 )
& ~ ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X9 @ X4 )
& ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X10 @ X4 )
& ~ ( X10 @ X5 )
& ( X10 @ X6 )
& ~ ( X10 @ X7 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 )
| ~ ( X1 @ X7 @ X4 )
| ~ ( X1 @ X7 @ X5 )
| ~ ( X1 @ X7 @ X6 ) ) )
& ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: $o > ( $o > $o ) > $o,X13: $o > ( $o > $o ) > $o,X14: $o > ( $o > $o ) > $o,X15: $o > ( $o > $o ) > $o,X16: $o > ( $o > $o ) > $o,X17: $o > ( $o > $o ) > $o,X18: $o > ( $o > $o ) > $o,X19: $o > ( $o > $o ) > $o,X20: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X21: ( $o > ( $o > $o ) > $o ) > $o,X22: ( $o > ( $o > $o ) > $o ) > $o,X23: ( $o > ( $o > $o ) > $o ) > $o,X24: ( $o > ( $o > $o ) > $o ) > $o,X25: ( $o > ( $o > $o ) > $o ) > $o,X26: ( $o > ( $o > $o ) > $o ) > $o,X27: ( $o > ( $o > $o ) > $o ) > $o,X28: ( $o > ( $o > $o ) > $o ) > $o,X29: ( $o > ( $o > $o ) > $o ) > $o,X30: ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( X8 @ X4 )
& ~ ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X8 @ X11 )
& ~ ( X8 @ X12 )
& ~ ( X8 @ X13 )
& ~ ( X8 @ X14 )
& ~ ( X8 @ X15 )
& ~ ( X8 @ X16 )
& ~ ( X8 @ X17 )
& ~ ( X8 @ X18 )
& ~ ( X8 @ X19 )
& ~ ( X8 @ X20 )
& ~ ( X9 @ X4 )
& ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X11 )
& ~ ( X9 @ X12 )
& ~ ( X9 @ X13 )
& ~ ( X9 @ X14 )
& ~ ( X9 @ X15 )
& ~ ( X9 @ X16 )
& ~ ( X9 @ X17 )
& ~ ( X9 @ X18 )
& ~ ( X9 @ X19 )
& ~ ( X9 @ X20 )
& ~ ( X10 @ X4 )
& ~ ( X10 @ X5 )
& ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X11 )
& ~ ( X10 @ X12 )
& ~ ( X10 @ X13 )
& ~ ( X10 @ X14 )
& ~ ( X10 @ X15 )
& ~ ( X10 @ X16 )
& ~ ( X10 @ X17 )
& ~ ( X10 @ X18 )
& ~ ( X10 @ X19 )
& ~ ( X10 @ X20 )
& ~ ( X21 @ X4 )
& ~ ( X21 @ X5 )
& ~ ( X21 @ X6 )
& ( X21 @ X7 )
& ~ ( X21 @ X11 )
& ~ ( X21 @ X12 )
& ~ ( X21 @ X13 )
& ~ ( X21 @ X14 )
& ~ ( X21 @ X15 )
& ~ ( X21 @ X16 )
& ~ ( X21 @ X17 )
& ~ ( X21 @ X18 )
& ~ ( X21 @ X19 )
& ~ ( X21 @ X20 )
& ~ ( X22 @ X4 )
& ~ ( X22 @ X5 )
& ~ ( X22 @ X6 )
& ~ ( X22 @ X7 )
& ( X22 @ X11 )
& ~ ( X22 @ X12 )
& ~ ( X22 @ X13 )
& ~ ( X22 @ X14 )
& ~ ( X22 @ X15 )
& ~ ( X22 @ X16 )
& ~ ( X22 @ X17 )
& ~ ( X22 @ X18 )
& ~ ( X22 @ X19 )
& ~ ( X22 @ X20 )
& ~ ( X23 @ X4 )
& ~ ( X23 @ X5 )
& ~ ( X23 @ X6 )
& ~ ( X23 @ X7 )
& ~ ( X23 @ X11 )
& ( X23 @ X12 )
& ~ ( X23 @ X13 )
& ~ ( X23 @ X14 )
& ~ ( X23 @ X15 )
& ~ ( X23 @ X16 )
& ~ ( X23 @ X17 )
& ~ ( X23 @ X18 )
& ~ ( X23 @ X19 )
& ~ ( X23 @ X20 )
& ~ ( X24 @ X4 )
& ~ ( X24 @ X5 )
& ~ ( X24 @ X6 )
& ~ ( X24 @ X7 )
& ~ ( X24 @ X11 )
& ~ ( X24 @ X12 )
& ( X24 @ X13 )
& ~ ( X24 @ X14 )
& ~ ( X24 @ X15 )
& ~ ( X24 @ X16 )
& ~ ( X24 @ X17 )
& ~ ( X24 @ X18 )
& ~ ( X24 @ X19 )
& ~ ( X24 @ X20 )
& ~ ( X25 @ X4 )
& ~ ( X25 @ X5 )
& ~ ( X25 @ X6 )
& ~ ( X25 @ X7 )
& ~ ( X25 @ X11 )
& ~ ( X25 @ X12 )
& ~ ( X25 @ X13 )
& ( X25 @ X14 )
& ~ ( X25 @ X15 )
& ~ ( X25 @ X16 )
& ~ ( X25 @ X17 )
& ~ ( X25 @ X18 )
& ~ ( X25 @ X19 )
& ~ ( X25 @ X20 )
& ~ ( X26 @ X4 )
& ~ ( X26 @ X5 )
& ~ ( X26 @ X6 )
& ~ ( X26 @ X7 )
& ~ ( X26 @ X11 )
& ~ ( X26 @ X12 )
& ~ ( X26 @ X13 )
& ~ ( X26 @ X14 )
& ( X26 @ X15 )
& ~ ( X26 @ X16 )
& ~ ( X26 @ X17 )
& ~ ( X26 @ X18 )
& ~ ( X26 @ X19 )
& ~ ( X26 @ X20 )
& ~ ( X27 @ X4 )
& ~ ( X27 @ X5 )
& ~ ( X27 @ X6 )
& ~ ( X27 @ X7 )
& ~ ( X27 @ X11 )
& ~ ( X27 @ X12 )
& ~ ( X27 @ X13 )
& ~ ( X27 @ X14 )
& ~ ( X27 @ X15 )
& ( X27 @ X16 )
& ~ ( X27 @ X17 )
& ~ ( X27 @ X18 )
& ~ ( X27 @ X19 )
& ~ ( X27 @ X20 )
& ~ ( X28 @ X4 )
& ~ ( X28 @ X5 )
& ~ ( X28 @ X6 )
& ~ ( X28 @ X7 )
& ~ ( X28 @ X11 )
& ~ ( X28 @ X12 )
& ~ ( X28 @ X13 )
& ~ ( X28 @ X14 )
& ~ ( X28 @ X15 )
& ~ ( X28 @ X16 )
& ( X28 @ X17 )
& ~ ( X28 @ X18 )
& ~ ( X28 @ X19 )
& ~ ( X28 @ X20 )
& ~ ( X29 @ X4 )
& ~ ( X29 @ X5 )
& ~ ( X29 @ X6 )
& ~ ( X29 @ X7 )
& ~ ( X29 @ X11 )
& ~ ( X29 @ X12 )
& ~ ( X29 @ X13 )
& ~ ( X29 @ X14 )
& ~ ( X29 @ X15 )
& ~ ( X29 @ X16 )
& ~ ( X29 @ X17 )
& ( X29 @ X18 )
& ~ ( X29 @ X19 )
& ~ ( X29 @ X20 )
& ~ ( X30 @ X4 )
& ~ ( X30 @ X5 )
& ~ ( X30 @ X6 )
& ~ ( X30 @ X7 )
& ~ ( X30 @ X11 )
& ~ ( X30 @ X12 )
& ~ ( X30 @ X13 )
& ~ ( X30 @ X14 )
& ~ ( X30 @ X15 )
& ~ ( X30 @ X16 )
& ~ ( X30 @ X17 )
& ~ ( X30 @ X18 )
& ( X30 @ X19 )
& ~ ( X30 @ X20 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X7 @ X4 )
| ( X1 @ X7 @ X5 )
| ( X1 @ X7 @ X6 )
| ( X1 @ X11 @ X4 )
| ( X1 @ X11 @ X5 )
| ( X1 @ X11 @ X6 )
| ( X1 @ X11 @ X7 )
| ( X1 @ X12 @ X4 )
| ( X1 @ X12 @ X5 )
| ( X1 @ X12 @ X6 )
| ( X1 @ X12 @ X7 )
| ( X1 @ X12 @ X11 )
| ( X1 @ X13 @ X4 )
| ( X1 @ X13 @ X5 )
| ( X1 @ X13 @ X6 )
| ( X1 @ X13 @ X7 )
| ( X1 @ X13 @ X11 )
| ( X1 @ X13 @ X12 )
| ( X1 @ X14 @ X4 )
| ( X1 @ X14 @ X5 )
| ( X1 @ X14 @ X6 )
| ( X1 @ X14 @ X7 )
| ( X1 @ X14 @ X11 )
| ( X1 @ X14 @ X12 )
| ( X1 @ X14 @ X13 )
| ( X1 @ X15 @ X4 )
| ( X1 @ X15 @ X5 )
| ( X1 @ X15 @ X6 )
| ( X1 @ X15 @ X7 )
| ( X1 @ X15 @ X11 )
| ( X1 @ X15 @ X12 )
| ( X1 @ X15 @ X13 )
| ( X1 @ X15 @ X14 )
| ( X1 @ X16 @ X4 )
| ( X1 @ X16 @ X5 )
| ( X1 @ X16 @ X6 )
| ( X1 @ X16 @ X7 )
| ( X1 @ X16 @ X11 )
| ( X1 @ X16 @ X12 )
| ( X1 @ X16 @ X13 )
| ( X1 @ X16 @ X14 )
| ( X1 @ X16 @ X15 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X11 )
| ( X1 @ X17 @ X12 )
| ( X1 @ X17 @ X13 )
| ( X1 @ X17 @ X14 )
| ( X1 @ X17 @ X15 )
| ( X1 @ X17 @ X16 )
| ( X1 @ X18 @ X4 )
| ( X1 @ X18 @ X5 )
| ( X1 @ X18 @ X6 )
| ( X1 @ X18 @ X7 )
| ( X1 @ X18 @ X11 )
| ( X1 @ X18 @ X12 )
| ( X1 @ X18 @ X13 )
| ( X1 @ X18 @ X14 )
| ( X1 @ X18 @ X15 )
| ( X1 @ X18 @ X16 )
| ( X1 @ X18 @ X17 )
| ( X1 @ X19 @ X4 )
| ( X1 @ X19 @ X5 )
| ( X1 @ X19 @ X6 )
| ( X1 @ X19 @ X7 )
| ( X1 @ X19 @ X11 )
| ( X1 @ X19 @ X12 )
| ( X1 @ X19 @ X13 )
| ( X1 @ X19 @ X14 )
| ( X1 @ X19 @ X15 )
| ( X1 @ X19 @ X16 )
| ( X1 @ X19 @ X17 )
| ( X1 @ X19 @ X18 )
| ( X1 @ X20 @ X4 )
| ( X1 @ X20 @ X5 )
| ( X1 @ X20 @ X6 )
| ( X1 @ X20 @ X7 )
| ( X1 @ X20 @ X11 )
| ( X1 @ X20 @ X12 )
| ( X1 @ X20 @ X13 )
| ( X1 @ X20 @ X14 )
| ( X1 @ X20 @ X15 )
| ( X1 @ X20 @ X16 )
| ( X1 @ X20 @ X17 )
| ( X1 @ X20 @ X18 )
| ( X1 @ X20 @ X19 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_l_4_14_256a) ).
thf(c_0_1,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred2_1 @ X1 )
<=> ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: $o > ( $o > $o ) > $o,X13: $o > ( $o > $o ) > $o,X14: $o > ( $o > $o ) > $o,X15: $o > ( $o > $o ) > $o,X16: $o > ( $o > $o ) > $o,X17: $o > ( $o > $o ) > $o,X18: $o > ( $o > $o ) > $o,X19: $o > ( $o > $o ) > $o,X20: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X21: ( $o > ( $o > $o ) > $o ) > $o,X22: ( $o > ( $o > $o ) > $o ) > $o,X23: ( $o > ( $o > $o ) > $o ) > $o,X24: ( $o > ( $o > $o ) > $o ) > $o,X25: ( $o > ( $o > $o ) > $o ) > $o,X26: ( $o > ( $o > $o ) > $o ) > $o,X27: ( $o > ( $o > $o ) > $o ) > $o,X28: ( $o > ( $o > $o ) > $o ) > $o,X29: ( $o > ( $o > $o ) > $o ) > $o,X30: ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( X8 @ X4 )
& ~ ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X8 @ X11 )
& ~ ( X8 @ X12 )
& ~ ( X8 @ X13 )
& ~ ( X8 @ X14 )
& ~ ( X8 @ X15 )
& ~ ( X8 @ X16 )
& ~ ( X8 @ X17 )
& ~ ( X8 @ X18 )
& ~ ( X8 @ X19 )
& ~ ( X8 @ X20 )
& ~ ( X9 @ X4 )
& ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X11 )
& ~ ( X9 @ X12 )
& ~ ( X9 @ X13 )
& ~ ( X9 @ X14 )
& ~ ( X9 @ X15 )
& ~ ( X9 @ X16 )
& ~ ( X9 @ X17 )
& ~ ( X9 @ X18 )
& ~ ( X9 @ X19 )
& ~ ( X9 @ X20 )
& ~ ( X10 @ X4 )
& ~ ( X10 @ X5 )
& ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X11 )
& ~ ( X10 @ X12 )
& ~ ( X10 @ X13 )
& ~ ( X10 @ X14 )
& ~ ( X10 @ X15 )
& ~ ( X10 @ X16 )
& ~ ( X10 @ X17 )
& ~ ( X10 @ X18 )
& ~ ( X10 @ X19 )
& ~ ( X10 @ X20 )
& ~ ( X21 @ X4 )
& ~ ( X21 @ X5 )
& ~ ( X21 @ X6 )
& ( X21 @ X7 )
& ~ ( X21 @ X11 )
& ~ ( X21 @ X12 )
& ~ ( X21 @ X13 )
& ~ ( X21 @ X14 )
& ~ ( X21 @ X15 )
& ~ ( X21 @ X16 )
& ~ ( X21 @ X17 )
& ~ ( X21 @ X18 )
& ~ ( X21 @ X19 )
& ~ ( X21 @ X20 )
& ~ ( X22 @ X4 )
& ~ ( X22 @ X5 )
& ~ ( X22 @ X6 )
& ~ ( X22 @ X7 )
& ( X22 @ X11 )
& ~ ( X22 @ X12 )
& ~ ( X22 @ X13 )
& ~ ( X22 @ X14 )
& ~ ( X22 @ X15 )
& ~ ( X22 @ X16 )
& ~ ( X22 @ X17 )
& ~ ( X22 @ X18 )
& ~ ( X22 @ X19 )
& ~ ( X22 @ X20 )
& ~ ( X23 @ X4 )
& ~ ( X23 @ X5 )
& ~ ( X23 @ X6 )
& ~ ( X23 @ X7 )
& ~ ( X23 @ X11 )
& ( X23 @ X12 )
& ~ ( X23 @ X13 )
& ~ ( X23 @ X14 )
& ~ ( X23 @ X15 )
& ~ ( X23 @ X16 )
& ~ ( X23 @ X17 )
& ~ ( X23 @ X18 )
& ~ ( X23 @ X19 )
& ~ ( X23 @ X20 )
& ~ ( X24 @ X4 )
& ~ ( X24 @ X5 )
& ~ ( X24 @ X6 )
& ~ ( X24 @ X7 )
& ~ ( X24 @ X11 )
& ~ ( X24 @ X12 )
& ( X24 @ X13 )
& ~ ( X24 @ X14 )
& ~ ( X24 @ X15 )
& ~ ( X24 @ X16 )
& ~ ( X24 @ X17 )
& ~ ( X24 @ X18 )
& ~ ( X24 @ X19 )
& ~ ( X24 @ X20 )
& ~ ( X25 @ X4 )
& ~ ( X25 @ X5 )
& ~ ( X25 @ X6 )
& ~ ( X25 @ X7 )
& ~ ( X25 @ X11 )
& ~ ( X25 @ X12 )
& ~ ( X25 @ X13 )
& ( X25 @ X14 )
& ~ ( X25 @ X15 )
& ~ ( X25 @ X16 )
& ~ ( X25 @ X17 )
& ~ ( X25 @ X18 )
& ~ ( X25 @ X19 )
& ~ ( X25 @ X20 )
& ~ ( X26 @ X4 )
& ~ ( X26 @ X5 )
& ~ ( X26 @ X6 )
& ~ ( X26 @ X7 )
& ~ ( X26 @ X11 )
& ~ ( X26 @ X12 )
& ~ ( X26 @ X13 )
& ~ ( X26 @ X14 )
& ( X26 @ X15 )
& ~ ( X26 @ X16 )
& ~ ( X26 @ X17 )
& ~ ( X26 @ X18 )
& ~ ( X26 @ X19 )
& ~ ( X26 @ X20 )
& ~ ( X27 @ X4 )
& ~ ( X27 @ X5 )
& ~ ( X27 @ X6 )
& ~ ( X27 @ X7 )
& ~ ( X27 @ X11 )
& ~ ( X27 @ X12 )
& ~ ( X27 @ X13 )
& ~ ( X27 @ X14 )
& ~ ( X27 @ X15 )
& ( X27 @ X16 )
& ~ ( X27 @ X17 )
& ~ ( X27 @ X18 )
& ~ ( X27 @ X19 )
& ~ ( X27 @ X20 )
& ~ ( X28 @ X4 )
& ~ ( X28 @ X5 )
& ~ ( X28 @ X6 )
& ~ ( X28 @ X7 )
& ~ ( X28 @ X11 )
& ~ ( X28 @ X12 )
& ~ ( X28 @ X13 )
& ~ ( X28 @ X14 )
& ~ ( X28 @ X15 )
& ~ ( X28 @ X16 )
& ( X28 @ X17 )
& ~ ( X28 @ X18 )
& ~ ( X28 @ X19 )
& ~ ( X28 @ X20 )
& ~ ( X29 @ X4 )
& ~ ( X29 @ X5 )
& ~ ( X29 @ X6 )
& ~ ( X29 @ X7 )
& ~ ( X29 @ X11 )
& ~ ( X29 @ X12 )
& ~ ( X29 @ X13 )
& ~ ( X29 @ X14 )
& ~ ( X29 @ X15 )
& ~ ( X29 @ X16 )
& ~ ( X29 @ X17 )
& ( X29 @ X18 )
& ~ ( X29 @ X19 )
& ~ ( X29 @ X20 )
& ~ ( X30 @ X4 )
& ~ ( X30 @ X5 )
& ~ ( X30 @ X6 )
& ~ ( X30 @ X7 )
& ~ ( X30 @ X11 )
& ~ ( X30 @ X12 )
& ~ ( X30 @ X13 )
& ~ ( X30 @ X14 )
& ~ ( X30 @ X15 )
& ~ ( X30 @ X16 )
& ~ ( X30 @ X17 )
& ~ ( X30 @ X18 )
& ( X30 @ X19 )
& ~ ( X30 @ X20 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X7 @ X4 )
| ( X1 @ X7 @ X5 )
| ( X1 @ X7 @ X6 )
| ( X1 @ X11 @ X4 )
| ( X1 @ X11 @ X5 )
| ( X1 @ X11 @ X6 )
| ( X1 @ X11 @ X7 )
| ( X1 @ X12 @ X4 )
| ( X1 @ X12 @ X5 )
| ( X1 @ X12 @ X6 )
| ( X1 @ X12 @ X7 )
| ( X1 @ X12 @ X11 )
| ( X1 @ X13 @ X4 )
| ( X1 @ X13 @ X5 )
| ( X1 @ X13 @ X6 )
| ( X1 @ X13 @ X7 )
| ( X1 @ X13 @ X11 )
| ( X1 @ X13 @ X12 )
| ( X1 @ X14 @ X4 )
| ( X1 @ X14 @ X5 )
| ( X1 @ X14 @ X6 )
| ( X1 @ X14 @ X7 )
| ( X1 @ X14 @ X11 )
| ( X1 @ X14 @ X12 )
| ( X1 @ X14 @ X13 )
| ( X1 @ X15 @ X4 )
| ( X1 @ X15 @ X5 )
| ( X1 @ X15 @ X6 )
| ( X1 @ X15 @ X7 )
| ( X1 @ X15 @ X11 )
| ( X1 @ X15 @ X12 )
| ( X1 @ X15 @ X13 )
| ( X1 @ X15 @ X14 )
| ( X1 @ X16 @ X4 )
| ( X1 @ X16 @ X5 )
| ( X1 @ X16 @ X6 )
| ( X1 @ X16 @ X7 )
| ( X1 @ X16 @ X11 )
| ( X1 @ X16 @ X12 )
| ( X1 @ X16 @ X13 )
| ( X1 @ X16 @ X14 )
| ( X1 @ X16 @ X15 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X11 )
| ( X1 @ X17 @ X12 )
| ( X1 @ X17 @ X13 )
| ( X1 @ X17 @ X14 )
| ( X1 @ X17 @ X15 )
| ( X1 @ X17 @ X16 )
| ( X1 @ X18 @ X4 )
| ( X1 @ X18 @ X5 )
| ( X1 @ X18 @ X6 )
| ( X1 @ X18 @ X7 )
| ( X1 @ X18 @ X11 )
| ( X1 @ X18 @ X12 )
| ( X1 @ X18 @ X13 )
| ( X1 @ X18 @ X14 )
| ( X1 @ X18 @ X15 )
| ( X1 @ X18 @ X16 )
| ( X1 @ X18 @ X17 )
| ( X1 @ X19 @ X4 )
| ( X1 @ X19 @ X5 )
| ( X1 @ X19 @ X6 )
| ( X1 @ X19 @ X7 )
| ( X1 @ X19 @ X11 )
| ( X1 @ X19 @ X12 )
| ( X1 @ X19 @ X13 )
| ( X1 @ X19 @ X14 )
| ( X1 @ X19 @ X15 )
| ( X1 @ X19 @ X16 )
| ( X1 @ X19 @ X17 )
| ( X1 @ X19 @ X18 )
| ( X1 @ X20 @ X4 )
| ( X1 @ X20 @ X5 )
| ( X1 @ X20 @ X6 )
| ( X1 @ X20 @ X7 )
| ( X1 @ X20 @ X11 )
| ( X1 @ X20 @ X12 )
| ( X1 @ X20 @ X13 )
| ( X1 @ X20 @ X14 )
| ( X1 @ X20 @ X15 )
| ( X1 @ X20 @ X16 )
| ( X1 @ X20 @ X17 )
| ( X1 @ X20 @ X18 )
| ( X1 @ X20 @ X19 ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred1_1 @ X1 )
<=> ( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( X8 @ X4 )
& ~ ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X9 @ X4 )
& ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X10 @ X4 )
& ~ ( X10 @ X5 )
& ( X10 @ X6 )
& ~ ( X10 @ X7 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 )
| ~ ( X1 @ X7 @ X4 )
| ~ ( X1 @ X7 @ X5 )
| ~ ( X1 @ X7 @ X6 ) ) ) ) ),
introduced(definition) ).
thf(c_0_3,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: $o > ( $o > $o ) > $o,X13: $o > ( $o > $o ) > $o,X14: $o > ( $o > $o ) > $o,X15: $o > ( $o > $o ) > $o,X16: $o > ( $o > $o ) > $o,X17: $o > ( $o > $o ) > $o,X18: $o > ( $o > $o ) > $o,X19: $o > ( $o > $o ) > $o,X20: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X21: ( $o > ( $o > $o ) > $o ) > $o,X22: ( $o > ( $o > $o ) > $o ) > $o,X23: ( $o > ( $o > $o ) > $o ) > $o,X24: ( $o > ( $o > $o ) > $o ) > $o,X25: ( $o > ( $o > $o ) > $o ) > $o,X26: ( $o > ( $o > $o ) > $o ) > $o,X27: ( $o > ( $o > $o ) > $o ) > $o,X28: ( $o > ( $o > $o ) > $o ) > $o,X29: ( $o > ( $o > $o ) > $o ) > $o,X30: ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( X8 @ X4 )
& ~ ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X8 @ X11 )
& ~ ( X8 @ X12 )
& ~ ( X8 @ X13 )
& ~ ( X8 @ X14 )
& ~ ( X8 @ X15 )
& ~ ( X8 @ X16 )
& ~ ( X8 @ X17 )
& ~ ( X8 @ X18 )
& ~ ( X8 @ X19 )
& ~ ( X8 @ X20 )
& ~ ( X9 @ X4 )
& ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X11 )
& ~ ( X9 @ X12 )
& ~ ( X9 @ X13 )
& ~ ( X9 @ X14 )
& ~ ( X9 @ X15 )
& ~ ( X9 @ X16 )
& ~ ( X9 @ X17 )
& ~ ( X9 @ X18 )
& ~ ( X9 @ X19 )
& ~ ( X9 @ X20 )
& ~ ( X10 @ X4 )
& ~ ( X10 @ X5 )
& ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X11 )
& ~ ( X10 @ X12 )
& ~ ( X10 @ X13 )
& ~ ( X10 @ X14 )
& ~ ( X10 @ X15 )
& ~ ( X10 @ X16 )
& ~ ( X10 @ X17 )
& ~ ( X10 @ X18 )
& ~ ( X10 @ X19 )
& ~ ( X10 @ X20 )
& ~ ( X21 @ X4 )
& ~ ( X21 @ X5 )
& ~ ( X21 @ X6 )
& ( X21 @ X7 )
& ~ ( X21 @ X11 )
& ~ ( X21 @ X12 )
& ~ ( X21 @ X13 )
& ~ ( X21 @ X14 )
& ~ ( X21 @ X15 )
& ~ ( X21 @ X16 )
& ~ ( X21 @ X17 )
& ~ ( X21 @ X18 )
& ~ ( X21 @ X19 )
& ~ ( X21 @ X20 )
& ~ ( X22 @ X4 )
& ~ ( X22 @ X5 )
& ~ ( X22 @ X6 )
& ~ ( X22 @ X7 )
& ( X22 @ X11 )
& ~ ( X22 @ X12 )
& ~ ( X22 @ X13 )
& ~ ( X22 @ X14 )
& ~ ( X22 @ X15 )
& ~ ( X22 @ X16 )
& ~ ( X22 @ X17 )
& ~ ( X22 @ X18 )
& ~ ( X22 @ X19 )
& ~ ( X22 @ X20 )
& ~ ( X23 @ X4 )
& ~ ( X23 @ X5 )
& ~ ( X23 @ X6 )
& ~ ( X23 @ X7 )
& ~ ( X23 @ X11 )
& ( X23 @ X12 )
& ~ ( X23 @ X13 )
& ~ ( X23 @ X14 )
& ~ ( X23 @ X15 )
& ~ ( X23 @ X16 )
& ~ ( X23 @ X17 )
& ~ ( X23 @ X18 )
& ~ ( X23 @ X19 )
& ~ ( X23 @ X20 )
& ~ ( X24 @ X4 )
& ~ ( X24 @ X5 )
& ~ ( X24 @ X6 )
& ~ ( X24 @ X7 )
& ~ ( X24 @ X11 )
& ~ ( X24 @ X12 )
& ( X24 @ X13 )
& ~ ( X24 @ X14 )
& ~ ( X24 @ X15 )
& ~ ( X24 @ X16 )
& ~ ( X24 @ X17 )
& ~ ( X24 @ X18 )
& ~ ( X24 @ X19 )
& ~ ( X24 @ X20 )
& ~ ( X25 @ X4 )
& ~ ( X25 @ X5 )
& ~ ( X25 @ X6 )
& ~ ( X25 @ X7 )
& ~ ( X25 @ X11 )
& ~ ( X25 @ X12 )
& ~ ( X25 @ X13 )
& ( X25 @ X14 )
& ~ ( X25 @ X15 )
& ~ ( X25 @ X16 )
& ~ ( X25 @ X17 )
& ~ ( X25 @ X18 )
& ~ ( X25 @ X19 )
& ~ ( X25 @ X20 )
& ~ ( X26 @ X4 )
& ~ ( X26 @ X5 )
& ~ ( X26 @ X6 )
& ~ ( X26 @ X7 )
& ~ ( X26 @ X11 )
& ~ ( X26 @ X12 )
& ~ ( X26 @ X13 )
& ~ ( X26 @ X14 )
& ( X26 @ X15 )
& ~ ( X26 @ X16 )
& ~ ( X26 @ X17 )
& ~ ( X26 @ X18 )
& ~ ( X26 @ X19 )
& ~ ( X26 @ X20 )
& ~ ( X27 @ X4 )
& ~ ( X27 @ X5 )
& ~ ( X27 @ X6 )
& ~ ( X27 @ X7 )
& ~ ( X27 @ X11 )
& ~ ( X27 @ X12 )
& ~ ( X27 @ X13 )
& ~ ( X27 @ X14 )
& ~ ( X27 @ X15 )
& ( X27 @ X16 )
& ~ ( X27 @ X17 )
& ~ ( X27 @ X18 )
& ~ ( X27 @ X19 )
& ~ ( X27 @ X20 )
& ~ ( X28 @ X4 )
& ~ ( X28 @ X5 )
& ~ ( X28 @ X6 )
& ~ ( X28 @ X7 )
& ~ ( X28 @ X11 )
& ~ ( X28 @ X12 )
& ~ ( X28 @ X13 )
& ~ ( X28 @ X14 )
& ~ ( X28 @ X15 )
& ~ ( X28 @ X16 )
& ( X28 @ X17 )
& ~ ( X28 @ X18 )
& ~ ( X28 @ X19 )
& ~ ( X28 @ X20 )
& ~ ( X29 @ X4 )
& ~ ( X29 @ X5 )
& ~ ( X29 @ X6 )
& ~ ( X29 @ X7 )
& ~ ( X29 @ X11 )
& ~ ( X29 @ X12 )
& ~ ( X29 @ X13 )
& ~ ( X29 @ X14 )
& ~ ( X29 @ X15 )
& ~ ( X29 @ X16 )
& ~ ( X29 @ X17 )
& ( X29 @ X18 )
& ~ ( X29 @ X19 )
& ~ ( X29 @ X20 )
& ~ ( X30 @ X4 )
& ~ ( X30 @ X5 )
& ~ ( X30 @ X6 )
& ~ ( X30 @ X7 )
& ~ ( X30 @ X11 )
& ~ ( X30 @ X12 )
& ~ ( X30 @ X13 )
& ~ ( X30 @ X14 )
& ~ ( X30 @ X15 )
& ~ ( X30 @ X16 )
& ~ ( X30 @ X17 )
& ~ ( X30 @ X18 )
& ( X30 @ X19 )
& ~ ( X30 @ X20 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X7 @ X4 )
| ( X1 @ X7 @ X5 )
| ( X1 @ X7 @ X6 )
| ( X1 @ X11 @ X4 )
| ( X1 @ X11 @ X5 )
| ( X1 @ X11 @ X6 )
| ( X1 @ X11 @ X7 )
| ( X1 @ X12 @ X4 )
| ( X1 @ X12 @ X5 )
| ( X1 @ X12 @ X6 )
| ( X1 @ X12 @ X7 )
| ( X1 @ X12 @ X11 )
| ( X1 @ X13 @ X4 )
| ( X1 @ X13 @ X5 )
| ( X1 @ X13 @ X6 )
| ( X1 @ X13 @ X7 )
| ( X1 @ X13 @ X11 )
| ( X1 @ X13 @ X12 )
| ( X1 @ X14 @ X4 )
| ( X1 @ X14 @ X5 )
| ( X1 @ X14 @ X6 )
| ( X1 @ X14 @ X7 )
| ( X1 @ X14 @ X11 )
| ( X1 @ X14 @ X12 )
| ( X1 @ X14 @ X13 )
| ( X1 @ X15 @ X4 )
| ( X1 @ X15 @ X5 )
| ( X1 @ X15 @ X6 )
| ( X1 @ X15 @ X7 )
| ( X1 @ X15 @ X11 )
| ( X1 @ X15 @ X12 )
| ( X1 @ X15 @ X13 )
| ( X1 @ X15 @ X14 )
| ( X1 @ X16 @ X4 )
| ( X1 @ X16 @ X5 )
| ( X1 @ X16 @ X6 )
| ( X1 @ X16 @ X7 )
| ( X1 @ X16 @ X11 )
| ( X1 @ X16 @ X12 )
| ( X1 @ X16 @ X13 )
| ( X1 @ X16 @ X14 )
| ( X1 @ X16 @ X15 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X11 )
| ( X1 @ X17 @ X12 )
| ( X1 @ X17 @ X13 )
| ( X1 @ X17 @ X14 )
| ( X1 @ X17 @ X15 )
| ( X1 @ X17 @ X16 )
| ( X1 @ X18 @ X4 )
| ( X1 @ X18 @ X5 )
| ( X1 @ X18 @ X6 )
| ( X1 @ X18 @ X7 )
| ( X1 @ X18 @ X11 )
| ( X1 @ X18 @ X12 )
| ( X1 @ X18 @ X13 )
| ( X1 @ X18 @ X14 )
| ( X1 @ X18 @ X15 )
| ( X1 @ X18 @ X16 )
| ( X1 @ X18 @ X17 )
| ( X1 @ X19 @ X4 )
| ( X1 @ X19 @ X5 )
| ( X1 @ X19 @ X6 )
| ( X1 @ X19 @ X7 )
| ( X1 @ X19 @ X11 )
| ( X1 @ X19 @ X12 )
| ( X1 @ X19 @ X13 )
| ( X1 @ X19 @ X14 )
| ( X1 @ X19 @ X15 )
| ( X1 @ X19 @ X16 )
| ( X1 @ X19 @ X17 )
| ( X1 @ X19 @ X18 )
| ( X1 @ X20 @ X4 )
| ( X1 @ X20 @ X5 )
| ( X1 @ X20 @ X6 )
| ( X1 @ X20 @ X7 )
| ( X1 @ X20 @ X11 )
| ( X1 @ X20 @ X12 )
| ( X1 @ X20 @ X13 )
| ( X1 @ X20 @ X14 )
| ( X1 @ X20 @ X15 )
| ( X1 @ X20 @ X16 )
| ( X1 @ X20 @ X17 )
| ( X1 @ X20 @ X18 )
| ( X1 @ X20 @ X19 ) ) )
=> ( epred2_1 @ X1 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_4,negated_conjecture,
~ ? [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred1_1 @ X1 )
& ( epred2_1 @ X1 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[ramsey_l_4_14_256a]),c_0_2]),c_0_1]) ).
thf(c_0_5,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( X8 @ X4 )
& ~ ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X9 @ X4 )
& ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X10 @ X4 )
& ~ ( X10 @ X5 )
& ( X10 @ X6 )
& ~ ( X10 @ X7 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 )
| ~ ( X1 @ X7 @ X4 )
| ~ ( X1 @ X7 @ X5 )
| ~ ( X1 @ X7 @ X6 ) ) ) )
=> ( epred1_1 @ X1 ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
thf(c_0_6,plain,
! [X79: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( epred26_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred26_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred27_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred27_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred28_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred28_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred29_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred29_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred30_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred30_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred31_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred31_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred32_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred32_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred33_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred33_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred34_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred34_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred35_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred35_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred36_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred36_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred37_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred37_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ( epred38_1 @ X79 @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( epred38_1 @ X79 @ ( epred25_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred13_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred14_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred14_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred15_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred15_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred15_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred12_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred13_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred14_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred15_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred16_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred17_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred18_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred19_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred20_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred21_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred22_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred23_1 @ X79 ) )
| ( epred2_1 @ X79 ) )
& ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred24_1 @ X79 ) )
| ( epred2_1 @ X79 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
thf(c_0_7,negated_conjecture,
! [X68: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ~ ( epred1_1 @ X68 )
| ~ ( epred2_1 @ X68 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
thf(c_0_8,plain,
! [X69: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( ( epred9_1 @ X69 @ ( epred5_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred9_1 @ X69 @ ( epred6_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred9_1 @ X69 @ ( epred7_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred9_1 @ X69 @ ( epred8_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred10_1 @ X69 @ ( epred5_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( epred10_1 @ X69 @ ( epred6_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred10_1 @ X69 @ ( epred7_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred10_1 @ X69 @ ( epred8_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred11_1 @ X69 @ ( epred5_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred11_1 @ X69 @ ( epred6_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( epred11_1 @ X69 @ ( epred7_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred11_1 @ X69 @ ( epred8_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred6_1 @ X69 ) @ ( epred5_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred5_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred6_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred5_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred6_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred7_1 @ X69 ) )
| ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( epred9_1 @ X69 @ ( epred5_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred9_1 @ X69 @ ( epred6_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred9_1 @ X69 @ ( epred7_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred9_1 @ X69 @ ( epred8_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred10_1 @ X69 @ ( epred5_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( epred10_1 @ X69 @ ( epred6_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred10_1 @ X69 @ ( epred7_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred10_1 @ X69 @ ( epred8_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred11_1 @ X69 @ ( epred5_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred11_1 @ X69 @ ( epred6_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( epred11_1 @ X69 @ ( epred7_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ~ ( epred11_1 @ X69 @ ( epred8_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred6_1 @ X69 ) @ ( epred5_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred5_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred6_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred5_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred6_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) )
& ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred7_1 @ X69 ) )
| ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
| ( epred1_1 @ X69 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
thf(c_0_9,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred2_1 @ X1 )
| ~ ( epred26_1 @ X1 @ ( epred13_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred26_1 @ X1 @ ( epred12_1 @ X1 ) )
| ( epred2_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred2_1 @ X1 )
| ~ ( X1 @ ( epred13_1 @ X1 ) @ ( epred12_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_12,negated_conjecture,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ~ ( epred1_1 @ X1 )
| ~ ( epred2_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_13,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( X1 @ ( epred6_1 @ X1 ) @ ( epred5_1 @ X1 ) )
| ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
| ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,plain,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( epred2_1 @ X1 )
| ( ( epred13_1 @ X1 )
!= ( epred12_1 @ X1 ) ) ),
inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_9,c_0_10])]) ).
thf(c_0_15,plain,
( ( ( epred13_1 @ $neq )
= ( epred12_1 @ $neq ) )
| ( epred2_1 @ $neq ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_11]) ).
thf(c_0_16,negated_conjecture,
! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
( ( X1 @ ( epred6_1 @ X1 ) @ ( epred5_1 @ X1 ) )
| ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
| ~ ( epred2_1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_17,plain,
epred2_1 @ $neq,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,plain,
( ( ( epred6_1 @ $neq )
!= ( epred5_1 @ $neq ) )
| ( ( epred4_1 @ $neq )
!= ( epred3_1 @ $neq ) ) ),
inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).
thf(c_0_19,plain,
( ( ( epred4_1 @ $neq @ esk249_0 @ esk250_1 )
<~> ( epred3_1 @ $neq @ esk249_0 @ esk250_1 ) )
| ( ( epred6_1 @ $neq )
!= ( epred5_1 @ $neq ) ) ),
inference(neg_ext,[status(thm)],[c_0_18]) ).
thf(c_0_20,plain,
epred39_0,
inference(dynamic_cnf,[status(thm)],[c_0_19]) ).
thf(c_0_21,plain,
epred40_0,
inference(dynamic_cnf,[status(thm)],[c_0_19]) ).
thf(c_0_22,plain,
~ epred41_0,
inference(dynamic_cnf,[status(thm)],[c_0_19]) ).
thf(c_0_23,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19]),c_0_20]),c_0_21])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRA067^2 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 12:44:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.47/2.09 # Version: 3.1.0-ho
% 9.47/2.09 # Preprocessing class: HSLSSMSSSSSNHHA.
% 9.47/2.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.47/2.09 # Starting new_ho_10 with 600s (2) cores
% 9.47/2.09 # Starting sh3 with 600s (2) cores
% 9.47/2.09 # Starting ho_unfolding_3 with 600s (2) cores
% 9.47/2.09 # Starting new_ho_10_cnf2 with 600s (2) cores
% 9.47/2.09 # sh3 with pid 13590 completed with status 0
% 9.47/2.09 # Result found by sh3
% 9.47/2.09 # Preprocessing class: HSLSSMSSSSSNHHA.
% 9.47/2.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.47/2.09 # Starting new_ho_10 with 600s (2) cores
% 9.47/2.09 # Starting sh3 with 600s (2) cores
% 9.47/2.09 # No SInE strategy applied
% 9.47/2.09 # Search class: HGHNF-FSLF00-SHHFFSBN
% 9.47/2.09 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 9.47/2.09 # Starting new_ho_10 with 121s (1) cores
% 9.47/2.09 # Starting sh3 with 121s (1) cores
% 9.47/2.09 # new_ho_10 with pid 13593 completed with status 9
% 9.47/2.09 # Starting ho_unfolding_3 with 121s (1) cores
% 9.47/2.09 # sh3 with pid 13594 completed with status 9
% 9.47/2.09 # Starting new_ho_10_cnf2 with 121s (1) cores
% 9.47/2.09 # new_ho_10_cnf2 with pid 13605 completed with status 9
% 9.47/2.09 # Starting pre_casc_2 with 116s (1) cores
% 9.47/2.09 # ho_unfolding_3 with pid 13601 completed with status 9
% 9.47/2.09 # pre_casc_2 with pid 13608 completed with status 9
% 9.47/2.09 # Schedule exhausted
% 9.47/2.09
% 9.47/2.09 # -------------------------------------------------
% 9.47/2.09 # User time : 2.080 s
% 9.47/2.09 # System time : 0.051 s
% 9.47/2.09 # Total time : 2.131 s
% 9.47/2.09 # Maximum resident set size: 3336 pages
% 9.47/2.09 # executing default schedule for 597.869 seconds.
% 9.47/2.09 # Scheduled 7 strats onto 2 cores with 597 seconds (591 total)
% 9.47/2.09 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 9.47/2.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 9.47/2.09 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13613 completed with status 9
% 9.47/2.09 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 9.47/2.09 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 13614 completed with status 9
% 9.47/2.09 # Starting lpo1_def_fix with 86s (1) cores
% 9.47/2.09 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 13621 completed with status 9
% 9.47/2.09 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 86s (1) cores
% 9.47/2.09 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 13628 completed with status 9
% 9.47/2.09 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 86s (1) cores
% 9.47/2.09 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 13633 completed with status 9
% 9.47/2.09 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 75s (1) cores
% 9.47/2.09 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 13637 completed with status 9
% 9.47/2.09 # lpo1_def_fix with pid 13623 completed with status 0
% 9.47/2.09 # Result found by lpo1_def_fix
% 9.47/2.09 # Preprocessing class: HSLSSMSSSSSNHHA.
% 9.47/2.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.47/2.09 # Starting new_ho_10 with 600s (2) cores
% 9.47/2.09 # Starting sh3 with 600s (2) cores
% 9.47/2.09 # No SInE strategy applied
% 9.47/2.09 # Search class: HGHNF-FSLF00-SHHFFSBN
% 9.47/2.09 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 9.47/2.09 # Starting new_ho_10 with 121s (1) cores
% 9.47/2.09 # Starting sh3 with 121s (1) cores
% 9.47/2.09 # new_ho_10 with pid 13593 completed with status 9
% 9.47/2.09 # Starting ho_unfolding_3 with 121s (1) cores
% 9.47/2.09 # sh3 with pid 13594 completed with status 9
% 9.47/2.09 # Starting new_ho_10_cnf2 with 121s (1) cores
% 9.47/2.09 # new_ho_10_cnf2 with pid 13605 completed with status 9
% 9.47/2.09 # Starting pre_casc_2 with 116s (1) cores
% 9.47/2.09 # ho_unfolding_3 with pid 13601 completed with status 9
% 9.47/2.09 # pre_casc_2 with pid 13608 completed with status 9
% 9.47/2.09 # Schedule exhausted
% 9.47/2.09
% 9.47/2.09 # -------------------------------------------------
% 9.47/2.09 # User time : 2.080 s
% 9.47/2.09 # System time : 0.051 s
% 9.47/2.09 # Total time : 2.131 s
% 9.47/2.09 # Maximum resident set size: 3336 pages
% 9.47/2.09 # executing default schedule for 597.869 seconds.
% 9.47/2.09 # Scheduled 7 strats onto 2 cores with 597 seconds (591 total)
% 9.47/2.09 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 9.47/2.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 9.47/2.09 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13613 completed with status 9
% 9.47/2.09 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 9.47/2.09 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 13614 completed with status 9
% 9.47/2.09 # Starting lpo1_def_fix with 86s (1) cores
% 9.47/2.09 # Preprocessing time : 0.004 s
% 9.47/2.09 # Presaturation interreduction done
% 9.47/2.09
% 9.47/2.09 # Proof found!
% 9.47/2.09 # SZS status Theorem
% 9.47/2.09 # SZS output start CNFRefutation
% See solution above
% 9.47/2.09 # Parsed axioms : 1
% 9.47/2.09 # Removed by relevancy pruning/SinE : 0
% 9.47/2.09 # Initial clauses : 310
% 9.47/2.09 # Removed in clause preprocessing : 0
% 9.47/2.09 # Initial clauses in saturation : 310
% 9.47/2.09 # Processed clauses : 878
% 9.47/2.09 # ...of these trivial : 15
% 9.47/2.09 # ...subsumed : 112
% 9.47/2.09 # ...remaining for further processing : 750
% 9.47/2.09 # Other redundant clauses eliminated : 205
% 9.47/2.09 # Clauses deleted for lack of memory : 0
% 9.47/2.09 # Backward-subsumed : 0
% 9.47/2.09 # Backward-rewritten : 1
% 9.47/2.09 # Generated clauses : 1778
% 9.47/2.09 # ...of the previous two non-redundant : 1308
% 9.47/2.09 # ...aggressively subsumed : 0
% 9.47/2.09 # Contextual simplify-reflections : 0
% 9.47/2.09 # Paramodulations : 26
% 9.47/2.09 # Factorizations : 0
% 9.47/2.09 # NegExts : 256
% 9.47/2.09 # Equation resolutions : 205
% 9.47/2.09 # Disequality decompositions : 0
% 9.47/2.09 # Total rewrite steps : 130
% 9.47/2.09 # ...of those cached : 127
% 9.47/2.09 # Propositional unsat checks : 0
% 9.47/2.09 # Propositional check models : 0
% 9.47/2.09 # Propositional check unsatisfiable : 0
% 9.47/2.09 # Propositional clauses : 0
% 9.47/2.09 # Propositional clauses after purity: 0
% 9.47/2.09 # Propositional unsat core size : 0
% 9.47/2.09 # Propositional preprocessing time : 0.000
% 9.47/2.09 # Propositional encoding time : 0.000
% 9.47/2.09 # Propositional solver time : 0.000
% 9.47/2.09 # Success case prop preproc time : 0.000
% 9.47/2.09 # Success case prop encoding time : 0.000
% 9.47/2.09 # Success case prop solver time : 0.000
% 9.47/2.09 # Current number of processed clauses : 438
% 9.47/2.09 # Positive orientable unit clauses : 3
% 9.47/2.09 # Positive unorientable unit clauses: 0
% 9.47/2.09 # Negative unit clauses : 1
% 9.47/2.09 # Non-unit-clauses : 434
% 9.47/2.09 # Current number of unprocessed clauses: 1050
% 9.47/2.09 # ...number of literals in the above : 2348
% 9.47/2.09 # Current number of archived formulas : 0
% 9.47/2.09 # Current number of archived clauses : 312
% 9.47/2.09 # Clause-clause subsumption calls (NU) : 18598
% 9.47/2.09 # Rec. Clause-clause subsumption calls : 16421
% 9.47/2.09 # Non-unit clause-clause subsumptions : 109
% 9.47/2.09 # Unit Clause-clause subsumption calls : 1203
% 9.47/2.09 # Rewrite failures with RHS unbound : 0
% 9.47/2.09 # BW rewrite match attempts : 1
% 9.47/2.09 # BW rewrite match successes : 1
% 9.47/2.09 # Condensation attempts : 0
% 9.47/2.09 # Condensation successes : 0
% 9.47/2.09 # Termbank termtop insertions : 197760
% 9.47/2.09 # Search garbage collected termcells : 6686
% 9.47/2.09
% 9.47/2.09 # -------------------------------------------------
% 9.47/2.09 # User time : 2.408 s
% 9.47/2.09 # System time : 0.072 s
% 9.47/2.09 # Total time : 2.480 s
% 9.47/2.09 # Maximum resident set size: 3384 pages
% 9.47/2.09
% 9.47/2.09 # -------------------------------------------------
% 9.47/2.09 # User time : 2.410 s
% 9.47/2.09 # System time : 0.075 s
% 9.47/2.09 # Total time : 2.485 s
% 9.47/2.09 # Maximum resident set size: 1900 pages
% 9.47/2.09 % E---3.1 exiting
% 9.47/2.09 % E exiting
%------------------------------------------------------------------------------