TSTP Solution File: GRA041^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRA041^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 20:41:05 EDT 2024
% Result : Theorem 1.06s 0.61s
% Output : CNFRefutation 1.06s
% 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 : 526 ( 5 equ; 0 cnn)
% Maximal formula atoms : 252 ( 19 avg)
% Number of connectives : 2515 ( 452 ~; 306 |; 438 &;1306 @)
% ( 2 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 90 ( 22 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 ).
thf(decl_32,type,
epred11_1: ( ( $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 ) > $o ).
thf(decl_36,type,
epred15_1: ( ( $o > $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 ) > $o ).
thf(decl_38,type,
epred17_1: ( ( $o > $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_257,type,
esk200_0: $o ).
thf(decl_258,type,
esk201_0: $o ).
thf(decl_259,type,
esk202_0: $o ).
thf(decl_619,type,
epred73_0: $o ).
thf(decl_624,type,
epred78_0: $o ).
thf(ramsey_l_7_8_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,X10: $o > $o > $o > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X13: ( $o > $o > $o > $o ) > $o,X14: ( $o > $o > $o > $o ) > $o,X15: ( $o > $o > $o > $o ) > $o,X16: ( $o > $o > $o > $o ) > $o] :
( ( ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ~ ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X11 @ X10 )
& ~ ( X12 @ X4 )
& ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ( X13 @ X6 )
& ~ ( X13 @ X7 )
& ~ ( X13 @ X8 )
& ~ ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ( X14 @ X7 )
& ~ ( X14 @ X8 )
& ~ ( X14 @ X9 )
& ~ ( X14 @ X10 )
& ~ ( X15 @ X4 )
& ~ ( X15 @ X5 )
& ~ ( X15 @ X6 )
& ~ ( X15 @ X7 )
& ( X15 @ X8 )
& ~ ( X15 @ X9 )
& ~ ( X15 @ X10 )
& ~ ( X16 @ X4 )
& ~ ( X16 @ X5 )
& ~ ( X16 @ X6 )
& ~ ( X16 @ X7 )
& ~ ( X16 @ X8 )
& ( X16 @ X9 )
& ~ ( X16 @ X10 ) )
=> ( ~ ( 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 @ X9 @ X4 )
| ~ ( X1 @ X9 @ X5 )
| ~ ( X1 @ X9 @ X6 )
| ~ ( X1 @ X9 @ X7 )
| ~ ( X1 @ X9 @ X8 )
| ~ ( X1 @ X10 @ X4 )
| ~ ( X1 @ X10 @ X5 )
| ~ ( X1 @ X10 @ X6 )
| ~ ( X1 @ X10 @ X7 )
| ~ ( X1 @ X10 @ X8 )
| ~ ( X1 @ X10 @ X9 ) ) )
& ! [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,X10: $o > $o > $o > $o,X17: $o > $o > $o > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X13: ( $o > $o > $o > $o ) > $o,X14: ( $o > $o > $o > $o ) > $o,X15: ( $o > $o > $o > $o ) > $o,X16: ( $o > $o > $o > $o ) > $o,X18: ( $o > $o > $o > $o ) > $o] :
( ( ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ~ ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X11 @ X10 )
& ~ ( X11 @ X17 )
& ~ ( X12 @ X4 )
& ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X17 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ( X13 @ X6 )
& ~ ( X13 @ X7 )
& ~ ( X13 @ X8 )
& ~ ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X13 @ X17 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ( X14 @ X7 )
& ~ ( X14 @ X8 )
& ~ ( X14 @ X9 )
& ~ ( X14 @ X10 )
& ~ ( X14 @ X17 )
& ~ ( X15 @ X4 )
& ~ ( X15 @ X5 )
& ~ ( X15 @ X6 )
& ~ ( X15 @ X7 )
& ( X15 @ X8 )
& ~ ( X15 @ X9 )
& ~ ( X15 @ X10 )
& ~ ( X15 @ X17 )
& ~ ( X16 @ X4 )
& ~ ( X16 @ X5 )
& ~ ( X16 @ X6 )
& ~ ( X16 @ X7 )
& ~ ( X16 @ X8 )
& ( X16 @ X9 )
& ~ ( X16 @ X10 )
& ~ ( X16 @ X17 )
& ~ ( X18 @ X4 )
& ~ ( X18 @ X5 )
& ~ ( X18 @ X6 )
& ~ ( X18 @ X7 )
& ~ ( X18 @ X8 )
& ~ ( X18 @ X9 )
& ( X18 @ X10 )
& ~ ( X18 @ 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 @ X9 @ X4 )
| ( X1 @ X9 @ X5 )
| ( X1 @ X9 @ X6 )
| ( X1 @ X9 @ X7 )
| ( X1 @ X9 @ X8 )
| ( X1 @ X10 @ X4 )
| ( X1 @ X10 @ X5 )
| ( X1 @ X10 @ X6 )
| ( X1 @ X10 @ X7 )
| ( X1 @ X10 @ X8 )
| ( X1 @ X10 @ X9 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X8 )
| ( X1 @ X17 @ X9 )
| ( X1 @ X17 @ X10 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ramsey_l_7_8_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,X9: $o > $o > $o > $o,X10: $o > $o > $o > $o,X17: $o > $o > $o > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X13: ( $o > $o > $o > $o ) > $o,X14: ( $o > $o > $o > $o ) > $o,X15: ( $o > $o > $o > $o ) > $o,X16: ( $o > $o > $o > $o ) > $o,X18: ( $o > $o > $o > $o ) > $o] :
( ( ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ~ ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X11 @ X10 )
& ~ ( X11 @ X17 )
& ~ ( X12 @ X4 )
& ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X17 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ( X13 @ X6 )
& ~ ( X13 @ X7 )
& ~ ( X13 @ X8 )
& ~ ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X13 @ X17 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ( X14 @ X7 )
& ~ ( X14 @ X8 )
& ~ ( X14 @ X9 )
& ~ ( X14 @ X10 )
& ~ ( X14 @ X17 )
& ~ ( X15 @ X4 )
& ~ ( X15 @ X5 )
& ~ ( X15 @ X6 )
& ~ ( X15 @ X7 )
& ( X15 @ X8 )
& ~ ( X15 @ X9 )
& ~ ( X15 @ X10 )
& ~ ( X15 @ X17 )
& ~ ( X16 @ X4 )
& ~ ( X16 @ X5 )
& ~ ( X16 @ X6 )
& ~ ( X16 @ X7 )
& ~ ( X16 @ X8 )
& ( X16 @ X9 )
& ~ ( X16 @ X10 )
& ~ ( X16 @ X17 )
& ~ ( X18 @ X4 )
& ~ ( X18 @ X5 )
& ~ ( X18 @ X6 )
& ~ ( X18 @ X7 )
& ~ ( X18 @ X8 )
& ~ ( X18 @ X9 )
& ( X18 @ X10 )
& ~ ( X18 @ 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 @ X9 @ X4 )
| ( X1 @ X9 @ X5 )
| ( X1 @ X9 @ X6 )
| ( X1 @ X9 @ X7 )
| ( X1 @ X9 @ X8 )
| ( X1 @ X10 @ X4 )
| ( X1 @ X10 @ X5 )
| ( X1 @ X10 @ X6 )
| ( X1 @ X10 @ X7 )
| ( X1 @ X10 @ X8 )
| ( X1 @ X10 @ X9 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X8 )
| ( X1 @ X17 @ X9 )
| ( X1 @ X17 @ X10 ) ) ) ),
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,X10: $o > $o > $o > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X13: ( $o > $o > $o > $o ) > $o,X14: ( $o > $o > $o > $o ) > $o,X15: ( $o > $o > $o > $o ) > $o,X16: ( $o > $o > $o > $o ) > $o] :
( ( ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ~ ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X11 @ X10 )
& ~ ( X12 @ X4 )
& ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ( X13 @ X6 )
& ~ ( X13 @ X7 )
& ~ ( X13 @ X8 )
& ~ ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ( X14 @ X7 )
& ~ ( X14 @ X8 )
& ~ ( X14 @ X9 )
& ~ ( X14 @ X10 )
& ~ ( X15 @ X4 )
& ~ ( X15 @ X5 )
& ~ ( X15 @ X6 )
& ~ ( X15 @ X7 )
& ( X15 @ X8 )
& ~ ( X15 @ X9 )
& ~ ( X15 @ X10 )
& ~ ( X16 @ X4 )
& ~ ( X16 @ X5 )
& ~ ( X16 @ X6 )
& ~ ( X16 @ X7 )
& ~ ( X16 @ X8 )
& ( X16 @ X9 )
& ~ ( X16 @ X10 ) )
=> ( ~ ( 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 @ X9 @ X4 )
| ~ ( X1 @ X9 @ X5 )
| ~ ( X1 @ X9 @ X6 )
| ~ ( X1 @ X9 @ X7 )
| ~ ( X1 @ X9 @ X8 )
| ~ ( X1 @ X10 @ X4 )
| ~ ( X1 @ X10 @ X5 )
| ~ ( X1 @ X10 @ X6 )
| ~ ( X1 @ X10 @ X7 )
| ~ ( X1 @ X10 @ X8 )
| ~ ( X1 @ X10 @ X9 ) ) ) ),
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,X9: $o > $o > $o > $o,X10: $o > $o > $o > $o,X17: $o > $o > $o > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X13: ( $o > $o > $o > $o ) > $o,X14: ( $o > $o > $o > $o ) > $o,X15: ( $o > $o > $o > $o ) > $o,X16: ( $o > $o > $o > $o ) > $o,X18: ( $o > $o > $o > $o ) > $o] :
( ( ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ~ ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X11 @ X10 )
& ~ ( X11 @ X17 )
& ~ ( X12 @ X4 )
& ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X17 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ( X13 @ X6 )
& ~ ( X13 @ X7 )
& ~ ( X13 @ X8 )
& ~ ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X13 @ X17 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ( X14 @ X7 )
& ~ ( X14 @ X8 )
& ~ ( X14 @ X9 )
& ~ ( X14 @ X10 )
& ~ ( X14 @ X17 )
& ~ ( X15 @ X4 )
& ~ ( X15 @ X5 )
& ~ ( X15 @ X6 )
& ~ ( X15 @ X7 )
& ( X15 @ X8 )
& ~ ( X15 @ X9 )
& ~ ( X15 @ X10 )
& ~ ( X15 @ X17 )
& ~ ( X16 @ X4 )
& ~ ( X16 @ X5 )
& ~ ( X16 @ X6 )
& ~ ( X16 @ X7 )
& ~ ( X16 @ X8 )
& ( X16 @ X9 )
& ~ ( X16 @ X10 )
& ~ ( X16 @ X17 )
& ~ ( X18 @ X4 )
& ~ ( X18 @ X5 )
& ~ ( X18 @ X6 )
& ~ ( X18 @ X7 )
& ~ ( X18 @ X8 )
& ~ ( X18 @ X9 )
& ( X18 @ X10 )
& ~ ( X18 @ 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 @ X9 @ X4 )
| ( X1 @ X9 @ X5 )
| ( X1 @ X9 @ X6 )
| ( X1 @ X9 @ X7 )
| ( X1 @ X9 @ X8 )
| ( X1 @ X10 @ X4 )
| ( X1 @ X10 @ X5 )
| ( X1 @ X10 @ X6 )
| ( X1 @ X10 @ X7 )
| ( X1 @ X10 @ X8 )
| ( X1 @ X10 @ X9 )
| ( X1 @ X17 @ X4 )
| ( X1 @ X17 @ X5 )
| ( X1 @ X17 @ X6 )
| ( X1 @ X17 @ X7 )
| ( X1 @ X17 @ X8 )
| ( X1 @ X17 @ X9 )
| ( X1 @ X17 @ X10 ) ) )
=> ( 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_7_8_256]),c_0_2]),c_0_1]) ).
thf(c_0_5,plain,
! [X67: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( ( 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 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred26_1 @ X67 @ ( epred25_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 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred27_1 @ X67 @ ( epred25_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 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred28_1 @ X67 @ ( epred25_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 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred29_1 @ X67 @ ( epred25_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 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred30_1 @ X67 @ ( epred25_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 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred31_1 @ X67 @ ( epred25_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 ) )
& ( ( epred32_1 @ X67 @ ( epred24_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( epred32_1 @ X67 @ ( epred25_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred19_1 @ X67 ) @ ( epred18_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 ) @ ( 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 ) @ ( 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 ) @ ( 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 ) )
& ( ~ ( X67 @ ( epred24_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred24_1 @ X67 ) @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred24_1 @ X67 ) @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred24_1 @ X67 ) @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred24_1 @ X67 ) @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred24_1 @ X67 ) @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred18_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred19_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred20_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred21_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred22_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred23_1 @ X67 ) )
| ( epred2_1 @ X67 ) )
& ( ~ ( X67 @ ( epred25_1 @ X67 ) @ ( epred24_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,
! [X50: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( ( X50 @ ( epred3_1 @ X50 ) @ ( epred4_1 @ X50 ) )
| ~ ( epred1_1 @ X50 )
| ~ ( epred2_1 @ X50 ) )
& ( ~ ( X50 @ ( epred4_1 @ X50 ) @ ( epred3_1 @ X50 ) )
| ~ ( epred1_1 @ X50 )
| ~ ( epred2_1 @ X50 ) ) ),
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 )
| ~ ( epred26_1 @ X1 @ ( epred19_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] :
( ( epred26_1 @ X1 @ ( epred18_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 @ ( epred19_1 @ X1 ) @ ( epred18_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 )
| ( ( epred19_1 @ X1 )
!= ( epred18_1 @ X1 ) ) ),
inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_7,c_0_8])]) ).
thf(c_0_12,plain,
( ( ( epred19_1 @ $neq )
= ( epred18_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,X10: $o > $o > $o > $o,X11: ( $o > $o > $o > $o ) > $o,X12: ( $o > $o > $o > $o ) > $o,X13: ( $o > $o > $o > $o ) > $o,X14: ( $o > $o > $o > $o ) > $o,X15: ( $o > $o > $o > $o ) > $o,X16: ( $o > $o > $o > $o ) > $o] :
( ( ( X11 @ X4 )
& ~ ( X11 @ X5 )
& ~ ( X11 @ X6 )
& ~ ( X11 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X11 @ X10 )
& ~ ( X12 @ X4 )
& ( X12 @ X5 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X7 )
& ~ ( X12 @ X8 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ( X13 @ X6 )
& ~ ( X13 @ X7 )
& ~ ( X13 @ X8 )
& ~ ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ( X14 @ X7 )
& ~ ( X14 @ X8 )
& ~ ( X14 @ X9 )
& ~ ( X14 @ X10 )
& ~ ( X15 @ X4 )
& ~ ( X15 @ X5 )
& ~ ( X15 @ X6 )
& ~ ( X15 @ X7 )
& ( X15 @ X8 )
& ~ ( X15 @ X9 )
& ~ ( X15 @ X10 )
& ~ ( X16 @ X4 )
& ~ ( X16 @ X5 )
& ~ ( X16 @ X6 )
& ~ ( X16 @ X7 )
& ~ ( X16 @ X8 )
& ( X16 @ X9 )
& ~ ( X16 @ X10 ) )
=> ( ~ ( 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 @ X9 @ X4 )
| ~ ( X1 @ X9 @ X5 )
| ~ ( X1 @ X9 @ X6 )
| ~ ( X1 @ X9 @ X7 )
| ~ ( X1 @ X9 @ X8 )
| ~ ( X1 @ X10 @ X4 )
| ~ ( X1 @ X10 @ X5 )
| ~ ( X1 @ X10 @ X6 )
| ~ ( X1 @ X10 @ X7 )
| ~ ( X1 @ X10 @ X8 )
| ~ ( X1 @ X10 @ X9 ) ) )
=> ( 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,
! [X53: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
( ( ( epred12_1 @ X53 @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred12_1 @ X53 @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred12_1 @ X53 @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred12_1 @ X53 @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred12_1 @ X53 @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred12_1 @ X53 @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred12_1 @ X53 @ ( epred11_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred13_1 @ X53 @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( epred13_1 @ X53 @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred13_1 @ X53 @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred13_1 @ X53 @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred13_1 @ X53 @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred13_1 @ X53 @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred13_1 @ X53 @ ( epred11_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred14_1 @ X53 @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred14_1 @ X53 @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( epred14_1 @ X53 @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred14_1 @ X53 @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred14_1 @ X53 @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred14_1 @ X53 @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred14_1 @ X53 @ ( epred11_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred15_1 @ X53 @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred15_1 @ X53 @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred15_1 @ X53 @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( epred15_1 @ X53 @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred15_1 @ X53 @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred15_1 @ X53 @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred15_1 @ X53 @ ( epred11_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred16_1 @ X53 @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred16_1 @ X53 @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred16_1 @ X53 @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred16_1 @ X53 @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( epred16_1 @ X53 @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred16_1 @ X53 @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred16_1 @ X53 @ ( epred11_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred17_1 @ X53 @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred17_1 @ X53 @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred17_1 @ X53 @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred17_1 @ X53 @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred17_1 @ X53 @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( epred17_1 @ X53 @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ~ ( epred17_1 @ X53 @ ( epred11_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred6_1 @ X53 ) @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred7_1 @ X53 ) @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred7_1 @ X53 ) @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred8_1 @ X53 ) @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred8_1 @ X53 ) @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred8_1 @ X53 ) @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred9_1 @ X53 ) @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred9_1 @ X53 ) @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred9_1 @ X53 ) @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred9_1 @ X53 ) @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred10_1 @ X53 ) @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred10_1 @ X53 ) @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred10_1 @ X53 ) @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred10_1 @ X53 ) @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred10_1 @ X53 ) @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred11_1 @ X53 ) @ ( epred5_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred11_1 @ X53 ) @ ( epred6_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred11_1 @ X53 ) @ ( epred7_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred11_1 @ X53 ) @ ( epred8_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred11_1 @ X53 ) @ ( epred9_1 @ X53 ) )
| ( epred1_1 @ X53 ) )
& ( ( X53 @ ( epred11_1 @ X53 ) @ ( epred10_1 @ X53 ) )
| ( epred1_1 @ X53 ) ) ),
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 @ ( epred10_1 @ X1 ) @ ( epred7_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,
( ( epred10_1 @ $neq )
!= ( epred7_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,
( ( epred10_1 @ $neq @ esk200_0 @ esk201_0 @ esk202_0 )
<~> ( epred7_1 @ $neq @ esk200_0 @ esk201_0 @ esk202_0 ) ),
inference(neg_ext,[status(thm)],[c_0_21]) ).
thf(c_0_23,plain,
( ~ epred73_0
| ~ epred78_0 ),
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_24,plain,
epred73_0,
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_25,plain,
epred78_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
% 0.12/0.12 % Problem : GRA041^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 12:55:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running higher-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.06/0.61 # Version: 3.1.0-ho
% 1.06/0.61 # Preprocessing class: HSLSSMSSSSSNHHA.
% 1.06/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.06/0.61 # Starting new_ho_10 with 600s (2) cores
% 1.06/0.61 # Starting sh3 with 600s (2) cores
% 1.06/0.61 # Starting ho_unfolding_3 with 600s (2) cores
% 1.06/0.61 # Starting new_ho_10_cnf2 with 600s (2) cores
% 1.06/0.61 # new_ho_10_cnf2 with pid 20825 completed with status 0
% 1.06/0.61 # Result found by new_ho_10_cnf2
% 1.06/0.61 # Preprocessing class: HSLSSMSSSSSNHHA.
% 1.06/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.06/0.61 # Starting new_ho_10 with 600s (2) cores
% 1.06/0.61 # Starting sh3 with 600s (2) cores
% 1.06/0.61 # Starting ho_unfolding_3 with 600s (2) cores
% 1.06/0.61 # Starting new_ho_10_cnf2 with 600s (2) cores
% 1.06/0.61 # No SInE strategy applied
% 1.06/0.61 # Search class: HGHNF-FFMF00-SHHFFSBN
% 1.06/0.61 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 1.06/0.61 # Starting sh2lt with 123s (1) cores
% 1.06/0.61 # Starting new_ho_10_cnf2 with 61s (1) cores
% 1.06/0.61 # new_ho_10_cnf2 with pid 20837 completed with status 9
% 1.06/0.61 # Starting new_bool_1 with 123s (1) cores
% 1.06/0.61 # sh2lt with pid 20836 completed with status 0
% 1.06/0.61 # Result found by sh2lt
% 1.06/0.61 # Preprocessing class: HSLSSMSSSSSNHHA.
% 1.06/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.06/0.61 # Starting new_ho_10 with 600s (2) cores
% 1.06/0.61 # Starting sh3 with 600s (2) cores
% 1.06/0.61 # Starting ho_unfolding_3 with 600s (2) cores
% 1.06/0.61 # Starting new_ho_10_cnf2 with 600s (2) cores
% 1.06/0.61 # No SInE strategy applied
% 1.06/0.61 # Search class: HGHNF-FFMF00-SHHFFSBN
% 1.06/0.61 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 1.06/0.61 # Starting sh2lt with 123s (1) cores
% 1.06/0.61 # Preprocessing time : 0.002 s
% 1.06/0.61 # Presaturation interreduction done
% 1.06/0.61
% 1.06/0.61 # Proof found!
% 1.06/0.61 # SZS status Theorem
% 1.06/0.61 # SZS output start CNFRefutation
% See solution above
% 1.06/0.61 # Parsed axioms : 1
% 1.06/0.61 # Removed by relevancy pruning/SinE : 0
% 1.06/0.61 # Initial clauses : 149
% 1.06/0.61 # Removed in clause preprocessing : 0
% 1.06/0.61 # Initial clauses in saturation : 149
% 1.06/0.61 # Processed clauses : 827
% 1.06/0.61 # ...of these trivial : 73
% 1.06/0.61 # ...subsumed : 102
% 1.06/0.61 # ...remaining for further processing : 651
% 1.06/0.61 # Other redundant clauses eliminated : 85
% 1.06/0.61 # Clauses deleted for lack of memory : 0
% 1.06/0.61 # Backward-subsumed : 17
% 1.06/0.61 # Backward-rewritten : 10
% 1.06/0.61 # Generated clauses : 2648
% 1.06/0.61 # ...of the previous two non-redundant : 1835
% 1.06/0.61 # ...aggressively subsumed : 0
% 1.06/0.61 # Contextual simplify-reflections : 2
% 1.06/0.61 # Paramodulations : 69
% 1.06/0.61 # Factorizations : 0
% 1.06/0.61 # NegExts : 525
% 1.06/0.61 # Equation resolutions : 85
% 1.06/0.61 # Disequality decompositions : 0
% 1.06/0.61 # Total rewrite steps : 143
% 1.06/0.61 # ...of those cached : 137
% 1.06/0.61 # Propositional unsat checks : 0
% 1.06/0.61 # Propositional check models : 0
% 1.06/0.61 # Propositional check unsatisfiable : 0
% 1.06/0.61 # Propositional clauses : 0
% 1.06/0.61 # Propositional clauses after purity: 0
% 1.06/0.61 # Propositional unsat core size : 0
% 1.06/0.61 # Propositional preprocessing time : 0.000
% 1.06/0.61 # Propositional encoding time : 0.000
% 1.06/0.61 # Propositional solver time : 0.000
% 1.06/0.61 # Success case prop preproc time : 0.000
% 1.06/0.61 # Success case prop encoding time : 0.000
% 1.06/0.61 # Success case prop solver time : 0.000
% 1.06/0.61 # Current number of processed clauses : 465
% 1.06/0.61 # Positive orientable unit clauses : 6
% 1.06/0.61 # Positive unorientable unit clauses: 0
% 1.06/0.61 # Negative unit clauses : 182
% 1.06/0.61 # Non-unit-clauses : 277
% 1.06/0.61 # Current number of unprocessed clauses: 1286
% 1.06/0.61 # ...number of literals in the above : 4191
% 1.06/0.61 # Current number of archived formulas : 0
% 1.06/0.61 # Current number of archived clauses : 186
% 1.06/0.61 # Clause-clause subsumption calls (NU) : 6122
% 1.06/0.61 # Rec. Clause-clause subsumption calls : 5535
% 1.06/0.61 # Non-unit clause-clause subsumptions : 60
% 1.06/0.61 # Unit Clause-clause subsumption calls : 2003
% 1.06/0.61 # Rewrite failures with RHS unbound : 0
% 1.06/0.61 # BW rewrite match attempts : 5
% 1.06/0.61 # BW rewrite match successes : 4
% 1.06/0.61 # Condensation attempts : 0
% 1.06/0.61 # Condensation successes : 0
% 1.06/0.61 # Termbank termtop insertions : 216849
% 1.06/0.61 # Search garbage collected termcells : 3393
% 1.06/0.61
% 1.06/0.61 # -------------------------------------------------
% 1.06/0.61 # User time : 0.132 s
% 1.06/0.61 # System time : 0.011 s
% 1.06/0.61 # Total time : 0.143 s
% 1.06/0.61 # Maximum resident set size: 2404 pages
% 1.06/0.61
% 1.06/0.61 # -------------------------------------------------
% 1.06/0.61 # User time : 0.217 s
% 1.06/0.61 # System time : 0.021 s
% 1.06/0.61 # Total time : 0.238 s
% 1.06/0.61 # Maximum resident set size: 1768 pages
% 1.06/0.61 % E---3.1 exiting
% 1.06/0.62 % E exiting
%------------------------------------------------------------------------------