TSTP Solution File: GRA050^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRA050^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 20:41:08 EDT 2024
% Result : Theorem 1.41s 0.67s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 40
% Syntax : Number of formulae : 64 ( 8 unt; 37 typ; 0 def)
% Number of atoms : 580 ( 5 equ; 0 cnn)
% Maximal formula atoms : 405 ( 21 avg)
% Number of connectives : 2787 ( 484 ~; 342 |; 492 &;1456 @)
% ( 2 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 141 ( 25 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 822 ( 822 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 37 usr; 7 con; 0-4 aty)
% Number of variables : 104 ( 0 ^ 102 !; 2 ?; 104 :)
% 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 ).
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 ) > $o ).
thf(decl_34,type,
epred13_1: ( ( $o > $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 ) > $o ).
thf(decl_46,type,
epred25_1: ( ( $o > $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_293,type,
esk228_0: $o ).
thf(decl_294,type,
esk229_0: $o ).
thf(decl_295,type,
esk230_0: $o ).
thf(decl_824,type,
epred181_0: $o ).
thf(decl_829,type,
epred186_0: $o ).
thf(ramsey_l_5_10_256,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,X9: ( $o > $o > $o > $o ) > $o,X10: ( $o > $o > $o > $o ) > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X10 @ X4 )
& ( X10 @ X5 )
& ~ ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X8 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ( X12 @ X7 )
& ~ ( X12 @ X8 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 )
| ~ ( X1 @ X7 @ X4 )
| ~ ( X1 @ X7 @ X5 )
| ~ ( X1 @ X7 @ X6 )
| ~ ( X1 @ X8 @ X4 )
| ~ ( X1 @ X8 @ X5 )
| ~ ( X1 @ X8 @ X6 )
| ~ ( X1 @ X8 @ X7 ) ) )
& ! [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,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,X9: ( $o > $o > $o > $o ) > $o,X10: ( $o > $o > $o > $o ) > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X18: ( $o > $o > $o > $o ) > $o,X19: ( $o > $o > $o > $o ) > $o,X20: ( $o > $o > $o > $o ) > $o,X21: ( $o > $o > $o > $o ) > $o,X22: ( $o > $o > $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X9 @ X13 )
& ~ ( X9 @ X14 )
& ~ ( X9 @ X15 )
& ~ ( X9 @ X16 )
& ~ ( X9 @ X17 )
& ~ ( X10 @ X4 )
& ( X10 @ X5 )
& ~ ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X8 )
& ~ ( X10 @ X13 )
& ~ ( X10 @ X14 )
& ~ ( X10 @ X15 )
& ~ ( X10 @ X16 )
& ~ ( X10 @ X17 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X13 )
& ~ ( X11 @ X14 )
& ~ ( X11 @ X15 )
& ~ ( X11 @ X16 )
& ~ ( X11 @ X17 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X13 )
& ~ ( X12 @ X14 )
& ~ ( X12 @ X15 )
& ~ ( X12 @ X16 )
& ~ ( X12 @ X17 )
& ~ ( X18 @ X4 )
& ~ ( X18 @ X5 )
& ~ ( X18 @ X6 )
& ~ ( X18 @ X7 )
& ( X18 @ X8 )
& ~ ( X18 @ X13 )
& ~ ( X18 @ X14 )
& ~ ( X18 @ X15 )
& ~ ( X18 @ X16 )
& ~ ( X18 @ X17 )
& ~ ( X19 @ X4 )
& ~ ( X19 @ X5 )
& ~ ( X19 @ X6 )
& ~ ( X19 @ X7 )
& ~ ( X19 @ X8 )
& ( X19 @ X13 )
& ~ ( X19 @ X14 )
& ~ ( X19 @ X15 )
& ~ ( X19 @ X16 )
& ~ ( X19 @ X17 )
& ~ ( X20 @ X4 )
& ~ ( X20 @ X5 )
& ~ ( X20 @ X6 )
& ~ ( X20 @ X7 )
& ~ ( X20 @ X8 )
& ~ ( X20 @ X13 )
& ( X20 @ X14 )
& ~ ( X20 @ X15 )
& ~ ( X20 @ X16 )
& ~ ( X20 @ X17 )
& ~ ( X21 @ X4 )
& ~ ( X21 @ X5 )
& ~ ( X21 @ X6 )
& ~ ( X21 @ X7 )
& ~ ( X21 @ X8 )
& ~ ( X21 @ X13 )
& ~ ( X21 @ X14 )
& ( X21 @ X15 )
& ~ ( X21 @ X16 )
& ~ ( X21 @ X17 )
& ~ ( X22 @ X4 )
& ~ ( X22 @ X5 )
& ~ ( X22 @ X6 )
& ~ ( X22 @ X7 )
& ~ ( X22 @ X8 )
& ~ ( X22 @ X13 )
& ~ ( X22 @ X14 )
& ~ ( X22 @ X15 )
& ( X22 @ X16 )
& ~ ( X22 @ X17 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X7 @ X4 )
| ( X1 @ X7 @ X5 )
| ( X1 @ X7 @ X6 )
| ( X1 @ X8 @ X4 )
| ( X1 @ X8 @ X5 )
| ( X1 @ X8 @ X6 )
| ( X1 @ X8 @ X7 )
| ( X1 @ X13 @ X4 )
| ( X1 @ X13 @ X5 )
| ( X1 @ X13 @ X6 )
| ( X1 @ X13 @ X7 )
| ( X1 @ X13 @ X8 )
| ( X1 @ X14 @ X4 )
| ( X1 @ X14 @ X5 )
| ( X1 @ X14 @ X6 )
| ( X1 @ X14 @ X7 )
| ( X1 @ X14 @ X8 )
| ( X1 @ X14 @ X13 )
| ( X1 @ X15 @ X4 )
| ( X1 @ X15 @ X5 )
| ( X1 @ X15 @ X6 )
| ( X1 @ X15 @ X7 )
| ( X1 @ X15 @ X8 )
| ( X1 @ X15 @ X13 )
| ( X1 @ X15 @ X14 )
| ( X1 @ X16 @ X4 )
| ( X1 @ X16 @ X5 )
| ( X1 @ X16 @ X6 )
| ( X1 @ X16 @ X7 )
| ( X1 @ X16 @ X8 )
| ( X1 @ X16 @ X13 )
| ( X1 @ X16 @ X14 )
| ( X1 @ X16 @ X15 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X8 )
| ( X1 @ X17 @ X13 )
| ( X1 @ X17 @ X14 )
| ( X1 @ X17 @ X15 )
| ( X1 @ X17 @ X16 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_l_5_10_256) ).
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,X8: $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,X9: ( $o > $o > $o > $o ) > $o,X10: ( $o > $o > $o > $o ) > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X18: ( $o > $o > $o > $o ) > $o,X19: ( $o > $o > $o > $o ) > $o,X20: ( $o > $o > $o > $o ) > $o,X21: ( $o > $o > $o > $o ) > $o,X22: ( $o > $o > $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X9 @ X13 )
& ~ ( X9 @ X14 )
& ~ ( X9 @ X15 )
& ~ ( X9 @ X16 )
& ~ ( X9 @ X17 )
& ~ ( X10 @ X4 )
& ( X10 @ X5 )
& ~ ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X8 )
& ~ ( X10 @ X13 )
& ~ ( X10 @ X14 )
& ~ ( X10 @ X15 )
& ~ ( X10 @ X16 )
& ~ ( X10 @ X17 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X13 )
& ~ ( X11 @ X14 )
& ~ ( X11 @ X15 )
& ~ ( X11 @ X16 )
& ~ ( X11 @ X17 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X13 )
& ~ ( X12 @ X14 )
& ~ ( X12 @ X15 )
& ~ ( X12 @ X16 )
& ~ ( X12 @ X17 )
& ~ ( X18 @ X4 )
& ~ ( X18 @ X5 )
& ~ ( X18 @ X6 )
& ~ ( X18 @ X7 )
& ( X18 @ X8 )
& ~ ( X18 @ X13 )
& ~ ( X18 @ X14 )
& ~ ( X18 @ X15 )
& ~ ( X18 @ X16 )
& ~ ( X18 @ X17 )
& ~ ( X19 @ X4 )
& ~ ( X19 @ X5 )
& ~ ( X19 @ X6 )
& ~ ( X19 @ X7 )
& ~ ( X19 @ X8 )
& ( X19 @ X13 )
& ~ ( X19 @ X14 )
& ~ ( X19 @ X15 )
& ~ ( X19 @ X16 )
& ~ ( X19 @ X17 )
& ~ ( X20 @ X4 )
& ~ ( X20 @ X5 )
& ~ ( X20 @ X6 )
& ~ ( X20 @ X7 )
& ~ ( X20 @ X8 )
& ~ ( X20 @ X13 )
& ( X20 @ X14 )
& ~ ( X20 @ X15 )
& ~ ( X20 @ X16 )
& ~ ( X20 @ X17 )
& ~ ( X21 @ X4 )
& ~ ( X21 @ X5 )
& ~ ( X21 @ X6 )
& ~ ( X21 @ X7 )
& ~ ( X21 @ X8 )
& ~ ( X21 @ X13 )
& ~ ( X21 @ X14 )
& ( X21 @ X15 )
& ~ ( X21 @ X16 )
& ~ ( X21 @ X17 )
& ~ ( X22 @ X4 )
& ~ ( X22 @ X5 )
& ~ ( X22 @ X6 )
& ~ ( X22 @ X7 )
& ~ ( X22 @ X8 )
& ~ ( X22 @ X13 )
& ~ ( X22 @ X14 )
& ~ ( X22 @ X15 )
& ( X22 @ X16 )
& ~ ( X22 @ X17 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X7 @ X4 )
| ( X1 @ X7 @ X5 )
| ( X1 @ X7 @ X6 )
| ( X1 @ X8 @ X4 )
| ( X1 @ X8 @ X5 )
| ( X1 @ X8 @ X6 )
| ( X1 @ X8 @ X7 )
| ( X1 @ X13 @ X4 )
| ( X1 @ X13 @ X5 )
| ( X1 @ X13 @ X6 )
| ( X1 @ X13 @ X7 )
| ( X1 @ X13 @ X8 )
| ( X1 @ X14 @ X4 )
| ( X1 @ X14 @ X5 )
| ( X1 @ X14 @ X6 )
| ( X1 @ X14 @ X7 )
| ( X1 @ X14 @ X8 )
| ( X1 @ X14 @ X13 )
| ( X1 @ X15 @ X4 )
| ( X1 @ X15 @ X5 )
| ( X1 @ X15 @ X6 )
| ( X1 @ X15 @ X7 )
| ( X1 @ X15 @ X8 )
| ( X1 @ X15 @ X13 )
| ( X1 @ X15 @ X14 )
| ( X1 @ X16 @ X4 )
| ( X1 @ X16 @ X5 )
| ( X1 @ X16 @ X6 )
| ( X1 @ X16 @ X7 )
| ( X1 @ X16 @ X8 )
| ( X1 @ X16 @ X13 )
| ( X1 @ X16 @ X14 )
| ( X1 @ X16 @ X15 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X8 )
| ( X1 @ X17 @ X13 )
| ( X1 @ X17 @ X14 )
| ( X1 @ X17 @ X15 )
| ( X1 @ X17 @ X16 ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( epred1_1 @ X1 )
<=> ! [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,X9: ( $o > $o > $o > $o ) > $o,X10: ( $o > $o > $o > $o ) > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X10 @ X4 )
& ( X10 @ X5 )
& ~ ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X8 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ( X12 @ X7 )
& ~ ( X12 @ X8 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 )
| ~ ( X1 @ X7 @ X4 )
| ~ ( X1 @ X7 @ X5 )
| ~ ( X1 @ X7 @ X6 )
| ~ ( X1 @ X8 @ X4 )
| ~ ( X1 @ X8 @ X5 )
| ~ ( X1 @ X8 @ X6 )
| ~ ( X1 @ X8 @ X7 ) ) ) ),
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,X8: $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,X9: ( $o > $o > $o > $o ) > $o,X10: ( $o > $o > $o > $o ) > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X18: ( $o > $o > $o > $o ) > $o,X19: ( $o > $o > $o > $o ) > $o,X20: ( $o > $o > $o > $o ) > $o,X21: ( $o > $o > $o > $o ) > $o,X22: ( $o > $o > $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X9 @ X13 )
& ~ ( X9 @ X14 )
& ~ ( X9 @ X15 )
& ~ ( X9 @ X16 )
& ~ ( X9 @ X17 )
& ~ ( X10 @ X4 )
& ( X10 @ X5 )
& ~ ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X8 )
& ~ ( X10 @ X13 )
& ~ ( X10 @ X14 )
& ~ ( X10 @ X15 )
& ~ ( X10 @ X16 )
& ~ ( X10 @ X17 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X13 )
& ~ ( X11 @ X14 )
& ~ ( X11 @ X15 )
& ~ ( X11 @ X16 )
& ~ ( X11 @ X17 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X13 )
& ~ ( X12 @ X14 )
& ~ ( X12 @ X15 )
& ~ ( X12 @ X16 )
& ~ ( X12 @ X17 )
& ~ ( X18 @ X4 )
& ~ ( X18 @ X5 )
& ~ ( X18 @ X6 )
& ~ ( X18 @ X7 )
& ( X18 @ X8 )
& ~ ( X18 @ X13 )
& ~ ( X18 @ X14 )
& ~ ( X18 @ X15 )
& ~ ( X18 @ X16 )
& ~ ( X18 @ X17 )
& ~ ( X19 @ X4 )
& ~ ( X19 @ X5 )
& ~ ( X19 @ X6 )
& ~ ( X19 @ X7 )
& ~ ( X19 @ X8 )
& ( X19 @ X13 )
& ~ ( X19 @ X14 )
& ~ ( X19 @ X15 )
& ~ ( X19 @ X16 )
& ~ ( X19 @ X17 )
& ~ ( X20 @ X4 )
& ~ ( X20 @ X5 )
& ~ ( X20 @ X6 )
& ~ ( X20 @ X7 )
& ~ ( X20 @ X8 )
& ~ ( X20 @ X13 )
& ( X20 @ X14 )
& ~ ( X20 @ X15 )
& ~ ( X20 @ X16 )
& ~ ( X20 @ X17 )
& ~ ( X21 @ X4 )
& ~ ( X21 @ X5 )
& ~ ( X21 @ X6 )
& ~ ( X21 @ X7 )
& ~ ( X21 @ X8 )
& ~ ( X21 @ X13 )
& ~ ( X21 @ X14 )
& ( X21 @ X15 )
& ~ ( X21 @ X16 )
& ~ ( X21 @ X17 )
& ~ ( X22 @ X4 )
& ~ ( X22 @ X5 )
& ~ ( X22 @ X6 )
& ~ ( X22 @ X7 )
& ~ ( X22 @ X8 )
& ~ ( X22 @ X13 )
& ~ ( X22 @ X14 )
& ~ ( X22 @ X15 )
& ( X22 @ X16 )
& ~ ( X22 @ X17 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X7 @ X4 )
| ( X1 @ X7 @ X5 )
| ( X1 @ X7 @ X6 )
| ( X1 @ X8 @ X4 )
| ( X1 @ X8 @ X5 )
| ( X1 @ X8 @ X6 )
| ( X1 @ X8 @ X7 )
| ( X1 @ X13 @ X4 )
| ( X1 @ X13 @ X5 )
| ( X1 @ X13 @ X6 )
| ( X1 @ X13 @ X7 )
| ( X1 @ X13 @ X8 )
| ( X1 @ X14 @ X4 )
| ( X1 @ X14 @ X5 )
| ( X1 @ X14 @ X6 )
| ( X1 @ X14 @ X7 )
| ( X1 @ X14 @ X8 )
| ( X1 @ X14 @ X13 )
| ( X1 @ X15 @ X4 )
| ( X1 @ X15 @ X5 )
| ( X1 @ X15 @ X6 )
| ( X1 @ X15 @ X7 )
| ( X1 @ X15 @ X8 )
| ( X1 @ X15 @ X13 )
| ( X1 @ X15 @ X14 )
| ( X1 @ X16 @ X4 )
| ( X1 @ X16 @ X5 )
| ( X1 @ X16 @ X6 )
| ( X1 @ X16 @ X7 )
| ( X1 @ X16 @ X8 )
| ( X1 @ X16 @ X13 )
| ( X1 @ X16 @ X14 )
| ( X1 @ X16 @ X15 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X8 )
| ( X1 @ X17 @ X13 )
| ( X1 @ X17 @ X14 )
| ( X1 @ X17 @ X15 )
| ( X1 @ X17 @ X16 ) ) )
=> ( 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] :
( ! [X2: $o > $o > $o > $o,X3: $o > $o > $o > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ( epred1_1 @ X1 )
& ( epred2_1 @ X1 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[ramsey_l_5_10_256]),c_0_2]),c_0_1]) ).
thf(c_0_5,plain,
! [X67: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( ( epred24_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred24_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred25_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred25_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred26_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred27_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred28_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred29_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred30_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred31_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ( epred32_1 @ X67 @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred15_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred16_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred16_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred17_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred17_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred17_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred18_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred18_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred18_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred18_1 @ X67 ) @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred19_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred19_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred19_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred19_1 @ X67 ) @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred19_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred20_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred20_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred20_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred20_1 @ X67 ) @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred20_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred20_1 @ X67 ) @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred21_1 @ X67 ) @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred22_1 @ X67 ) @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred14_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred15_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred16_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred17_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred23_1 @ X67 ) @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
thf(c_0_6,negated_conjecture,
! [X54: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( ( X54 @ ( epred3_1 @ X54 ) @ ( epred4_1 @ X54 ) )
| ~ ( epred1_1 @ X54 )
| ~ ( epred2_1 @ X54 ) )
& ( ~ ( X54 @ ( epred4_1 @ X54 ) @ ( epred3_1 @ X54 ) )
| ~ ( epred1_1 @ X54 )
| ~ ( epred2_1 @ X54 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
thf(c_0_7,plain,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( epred2_1 @ X1 )
| ~ ( epred24_1 @ X1 @ ( epred15_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( epred24_1 @ X1 @ ( epred14_1 @ X1 ) )
| ( epred2_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( epred2_1 @ X1 )
| ~ ( X1 @ ( epred15_1 @ X1 ) @ ( epred14_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,negated_conjecture,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ~ ( X1 @ ( epred4_1 @ X1 ) @ ( epred3_1 @ X1 ) )
| ~ ( epred1_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 )
| ( ( epred15_1 @ X1 )
!= ( epred14_1 @ X1 ) ) ),
inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_7,c_0_8])]) ).
thf(c_0_12,plain,
( ( ( epred15_1 @ $neq )
= ( epred14_1 @ $neq ) )
| ( epred2_1 @ $neq ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_9]) ).
thf(c_0_13,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,X8: $o > $o > $o > $o,X9: ( $o > $o > $o > $o ) > $o,X10: ( $o > $o > $o > $o ) > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X5 )
& ~ ( X9 @ X6 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X10 @ X4 )
& ( X10 @ X5 )
& ~ ( X10 @ X6 )
& ~ ( X10 @ X7 )
& ~ ( X10 @ X8 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ( X12 @ X7 )
& ~ ( X12 @ X8 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 )
| ~ ( X1 @ X7 @ X4 )
| ~ ( X1 @ X7 @ X5 )
| ~ ( X1 @ X7 @ X6 )
| ~ ( X1 @ X8 @ X4 )
| ~ ( X1 @ X8 @ X5 )
| ~ ( X1 @ X8 @ X6 )
| ~ ( X1 @ X8 @ X7 ) ) )
=> ( epred1_1 @ X1 ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
( ( ( epred4_1 @ $neq )
= ( epred3_1 @ $neq ) )
| ~ ( epred1_1 @ $neq )
| ~ ( epred2_1 @ $neq ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_10]) ).
thf(c_0_15,plain,
epred2_1 @ $neq,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
! [X57: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( ( epred10_1 @ X57 @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred10_1 @ X57 @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred10_1 @ X57 @ ( epred7_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred10_1 @ X57 @ ( epred8_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred10_1 @ X57 @ ( epred9_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred11_1 @ X57 @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( epred11_1 @ X57 @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred11_1 @ X57 @ ( epred7_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred11_1 @ X57 @ ( epred8_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred11_1 @ X57 @ ( epred9_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred12_1 @ X57 @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred12_1 @ X57 @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( epred12_1 @ X57 @ ( epred7_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred12_1 @ X57 @ ( epred8_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred12_1 @ X57 @ ( epred9_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred13_1 @ X57 @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred13_1 @ X57 @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred13_1 @ X57 @ ( epred7_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( epred13_1 @ X57 @ ( epred8_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ~ ( epred13_1 @ X57 @ ( epred9_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred6_1 @ X57 ) @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred7_1 @ X57 ) @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred7_1 @ X57 ) @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred8_1 @ X57 ) @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred8_1 @ X57 ) @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred8_1 @ X57 ) @ ( epred7_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred9_1 @ X57 ) @ ( epred5_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred9_1 @ X57 ) @ ( epred6_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred9_1 @ X57 ) @ ( epred7_1 @ X57 ) )
| ( epred1_1 @ X57 ) )
& ( ( X57 @ ( epred9_1 @ X57 ) @ ( epred8_1 @ X57 ) )
| ( epred1_1 @ X57 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
thf(c_0_17,negated_conjecture,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
| ~ ( epred1_1 @ X1 )
| ~ ( epred2_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_18,negated_conjecture,
( ( ( epred4_1 @ $neq )
= ( epred3_1 @ $neq ) )
| ~ ( epred1_1 @ $neq ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_19,plain,
! [X1: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( X1 @ ( epred8_1 @ X1 ) @ ( epred5_1 @ X1 ) )
| ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_20,negated_conjecture,
~ ( epred1_1 @ $neq ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_17]),c_0_15])]),c_0_18]) ).
thf(c_0_21,plain,
( ( epred8_1 @ $neq )
!= ( epred5_1 @ $neq ) ),
inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_19]),c_0_20]) ).
thf(c_0_22,plain,
( ( epred8_1 @ $neq @ esk228_0 @ esk229_0 @ esk230_0 )
<~> ( epred5_1 @ $neq @ esk228_0 @ esk229_0 @ esk230_0 ) ),
inference(neg_ext,[status(thm)],[c_0_21]) ).
thf(c_0_23,plain,
( ~ epred181_0
| ~ epred186_0 ),
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_24,plain,
epred181_0,
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_25,plain,
epred186_0,
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_26,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRA050^1 : TPTP v8.2.0. Released v3.6.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 12:42:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running higher-order theorem proving
% 0.18/0.46 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
% 1.41/0.67 # Version: 3.1.0-ho
% 1.41/0.67 # Preprocessing class: HSLSSMSSSSSNHHA.
% 1.41/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.41/0.67 # Starting new_ho_10 with 600s (2) cores
% 1.41/0.67 # Starting sh3 with 600s (2) cores
% 1.41/0.67 # Starting ho_unfolding_3 with 600s (2) cores
% 1.41/0.67 # Starting new_ho_10_cnf2 with 600s (2) cores
% 1.41/0.67 # ho_unfolding_3 with pid 11130 completed with status 0
% 1.41/0.67 # Result found by ho_unfolding_3
% 1.41/0.67 # Preprocessing class: HSLSSMSSSSSNHHA.
% 1.41/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.41/0.67 # Starting new_ho_10 with 600s (2) cores
% 1.41/0.67 # Starting sh3 with 600s (2) cores
% 1.41/0.67 # Starting ho_unfolding_3 with 600s (2) cores
% 1.41/0.67 # No SInE strategy applied
% 1.41/0.67 # Search class: HGHNF-FFMF00-SHHFFSBN
% 1.41/0.67 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 1.41/0.67 # Starting sh2lt with 123s (1) cores
% 1.41/0.67 # Starting ho_unfolding_3 with 61s (1) cores
% 1.41/0.67 # sh2lt with pid 11138 completed with status 0
% 1.41/0.67 # Result found by sh2lt
% 1.41/0.67 # Preprocessing class: HSLSSMSSSSSNHHA.
% 1.41/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.41/0.67 # Starting new_ho_10 with 600s (2) cores
% 1.41/0.67 # Starting sh3 with 600s (2) cores
% 1.41/0.67 # Starting ho_unfolding_3 with 600s (2) cores
% 1.41/0.67 # No SInE strategy applied
% 1.41/0.67 # Search class: HGHNF-FFMF00-SHHFFSBN
% 1.41/0.67 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 1.41/0.67 # Starting sh2lt with 123s (1) cores
% 1.41/0.67 # Preprocessing time : 0.002 s
% 1.41/0.67 # Presaturation interreduction done
% 1.41/0.67
% 1.41/0.67 # Proof found!
% 1.41/0.67 # SZS status Theorem
% 1.41/0.67 # SZS output start CNFRefutation
% See solution above
% 1.41/0.67 # Parsed axioms : 1
% 1.41/0.67 # Removed by relevancy pruning/SinE : 0
% 1.41/0.67 # Initial clauses : 167
% 1.41/0.67 # Removed in clause preprocessing : 0
% 1.41/0.67 # Initial clauses in saturation : 167
% 1.41/0.67 # Processed clauses : 1377
% 1.41/0.67 # ...of these trivial : 84
% 1.41/0.67 # ...subsumed : 155
% 1.41/0.67 # ...remaining for further processing : 1137
% 1.41/0.67 # Other redundant clauses eliminated : 97
% 1.41/0.67 # Clauses deleted for lack of memory : 0
% 1.41/0.67 # Backward-subsumed : 7
% 1.41/0.67 # Backward-rewritten : 7
% 1.41/0.67 # Generated clauses : 6818
% 1.41/0.67 # ...of the previous two non-redundant : 4284
% 1.41/0.67 # ...aggressively subsumed : 0
% 1.41/0.67 # Contextual simplify-reflections : 2
% 1.41/0.67 # Paramodulations : 398
% 1.41/0.67 # Factorizations : 0
% 1.41/0.67 # NegExts : 622
% 1.41/0.67 # Equation resolutions : 97
% 1.41/0.67 # Disequality decompositions : 0
% 1.41/0.67 # Total rewrite steps : 155
% 1.41/0.67 # ...of those cached : 150
% 1.41/0.67 # Propositional unsat checks : 0
% 1.41/0.67 # Propositional check models : 0
% 1.41/0.67 # Propositional check unsatisfiable : 0
% 1.41/0.67 # Propositional clauses : 0
% 1.41/0.67 # Propositional clauses after purity: 0
% 1.41/0.67 # Propositional unsat core size : 0
% 1.41/0.67 # Propositional preprocessing time : 0.000
% 1.41/0.67 # Propositional encoding time : 0.000
% 1.41/0.67 # Propositional solver time : 0.000
% 1.41/0.67 # Success case prop preproc time : 0.000
% 1.41/0.67 # Success case prop encoding time : 0.000
% 1.41/0.67 # Success case prop solver time : 0.000
% 1.41/0.67 # Current number of processed clauses : 919
% 1.41/0.67 # Positive orientable unit clauses : 5
% 1.41/0.67 # Positive unorientable unit clauses: 0
% 1.41/0.67 # Negative unit clauses : 197
% 1.41/0.67 # Non-unit-clauses : 717
% 1.41/0.67 # Current number of unprocessed clauses: 3223
% 1.41/0.67 # ...number of literals in the above : 12526
% 1.41/0.67 # Current number of archived formulas : 0
% 1.41/0.67 # Current number of archived clauses : 218
% 1.41/0.67 # Clause-clause subsumption calls (NU) : 47460
% 1.41/0.67 # Rec. Clause-clause subsumption calls : 18370
% 1.41/0.67 # Non-unit clause-clause subsumptions : 115
% 1.41/0.67 # Unit Clause-clause subsumption calls : 1708
% 1.41/0.67 # Rewrite failures with RHS unbound : 0
% 1.41/0.67 # BW rewrite match attempts : 4
% 1.41/0.67 # BW rewrite match successes : 4
% 1.41/0.67 # Condensation attempts : 0
% 1.41/0.67 # Condensation successes : 0
% 1.41/0.67 # Termbank termtop insertions : 366973
% 1.41/0.67 # Search garbage collected termcells : 3783
% 1.41/0.67
% 1.41/0.67 # -------------------------------------------------
% 1.41/0.67 # User time : 0.163 s
% 1.41/0.67 # System time : 0.012 s
% 1.41/0.67 # Total time : 0.175 s
% 1.41/0.67 # Maximum resident set size: 2608 pages
% 1.41/0.67
% 1.41/0.67 # -------------------------------------------------
% 1.41/0.67 # User time : 0.337 s
% 1.41/0.67 # System time : 0.023 s
% 1.41/0.67 # Total time : 0.360 s
% 1.41/0.67 # Maximum resident set size: 1796 pages
% 1.41/0.67 % E---3.1 exiting
% 1.41/0.67 % E exiting
%------------------------------------------------------------------------------