%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU905^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:25:55 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 1
% Syntax : Number of formulae : 225 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 1053 ( 64 equ; 0 cnn)
% Maximal formula atoms : 238 ( 4 avg)
% Number of connectives : 3613 ( 461 ~; 763 |; 99 &;2264 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 81 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 82 ( 0 ^; 82 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
g: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_sort3,type,
a: $tType ).
thf(decl_23,type,
esk1_0: g > b ).
thf(decl_24,type,
esk2_0: b > a ).
thf(decl_25,type,
epred1_0: g > $o ).
thf(decl_26,type,
esk3_0: g > g > g ).
thf(decl_27,type,
epred2_0: b > $o ).
thf(decl_28,type,
esk4_0: b > b > b ).
thf(decl_29,type,
epred3_0: a > $o ).
thf(decl_30,type,
esk5_0: a > a > a ).
thf(decl_31,type,
esk6_0: g ).
thf(decl_32,type,
esk7_0: g ).
thf(decl_33,type,
esk8_0: a ).
thf(decl_34,type,
esk9_0: a ).
thf(decl_35,type,
esk10_0: g ).
thf(decl_36,type,
esk11_0: g ).
thf(decl_37,type,
esk12_0: g ).
thf(cTHM126A_pme,conjecture,
! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g > g,X5: b > $o,X6: b > b > b,X7: a > $o,X8: a > a > a] :
( ~ ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X11: a,X12: a] :
( ( ( X7 @ X11 )
& ( X7 @ X12 ) )
=> ( X7 @ ( X8 @ X11 @ X12 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X2 @ ( X1 @ ( X4 @ X9 @ X10 ) ) )
= ( X8 @ ( X2 @ ( X1 @ X9 ) ) @ ( X2 @ ( X1 @ X10 ) ) ) ) ) )
=> ~ ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X13: b,X14: b] :
( ( ( X5 @ X13 )
& ( X5 @ X14 ) )
=> ( X5 @ ( X6 @ X13 @ X14 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X5 @ ( X1 @ X9 ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X1 @ ( X4 @ X9 @ X10 ) )
= ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
& ! [X15: b,X16: b] :
( ( ( X5 @ X15 )
& ( X5 @ X16 ) )
=> ( X5 @ ( X6 @ X15 @ X16 ) ) )
& ! [X17: a,X18: a] :
( ( ( X7 @ X17 )
& ( X7 @ X18 ) )
=> ( X7 @ ( X8 @ X17 @ X18 ) ) )
& ! [X19: b] :
( ( X5 @ X19 )
=> ( X7 @ ( X2 @ X19 ) ) )
& ! [X20: b,X21: b] :
( ( ( X5 @ X20 )
& ( X5 @ X21 ) )
=> ( ( X2 @ ( X6 @ X20 @ X21 ) )
= ( X8 @ ( X2 @ X20 ) @ ( X2 @ X21 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.luUzd1T6dP/E---3.1_2956725.p',cTHM126A_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g > g,X5: b > $o,X6: b > b > b,X7: a > $o,X8: a > a > a] :
( ~ ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X11: a,X12: a] :
( ( ( X7 @ X11 )
& ( X7 @ X12 ) )
=> ( X7 @ ( X8 @ X11 @ X12 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X2 @ ( X1 @ ( X4 @ X9 @ X10 ) ) )
= ( X8 @ ( X2 @ ( X1 @ X9 ) ) @ ( X2 @ ( X1 @ X10 ) ) ) ) ) )
=> ~ ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X13: b,X14: b] :
( ( ( X5 @ X13 )
& ( X5 @ X14 ) )
=> ( X5 @ ( X6 @ X13 @ X14 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X5 @ ( X1 @ X9 ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X1 @ ( X4 @ X9 @ X10 ) )
= ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
& ! [X15: b,X16: b] :
( ( ( X5 @ X15 )
& ( X5 @ X16 ) )
=> ( X5 @ ( X6 @ X15 @ X16 ) ) )
& ! [X17: a,X18: a] :
( ( ( X7 @ X17 )
& ( X7 @ X18 ) )
=> ( X7 @ ( X8 @ X17 @ X18 ) ) )
& ! [X19: b] :
( ( X5 @ X19 )
=> ( X7 @ ( X2 @ X19 ) ) )
& ! [X20: b,X21: b] :
( ( ( X5 @ X20 )
& ( X5 @ X21 ) )
=> ( ( X2 @ ( X6 @ X20 @ X21 ) )
= ( X8 @ ( X2 @ X20 ) @ ( X2 @ X21 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM126A_pme]) ).
thf(c_0_2,negated_conjecture,
! [X66: g,X67: g,X68: b,X69: b,X70: g,X71: g,X72: g,X73: b,X74: b,X75: a,X76: a,X77: b,X78: b,X79: b] :
( ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk6_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred1_0 @ esk7_0 ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ~ ( epred1_0 @ X66 )
| ~ ( epred1_0 @ X67 )
| ( epred1_0 @ ( esk3_0 @ X66 @ X67 ) ) )
& ( ~ ( epred2_0 @ X68 )
| ~ ( epred2_0 @ X69 )
| ( epred2_0 @ ( esk4_0 @ X68 @ X69 ) ) )
& ( ~ ( epred1_0 @ X70 )
| ( epred2_0 @ ( esk1_0 @ X70 ) ) )
& ( ~ ( epred1_0 @ X71 )
| ~ ( epred1_0 @ X72 )
| ( ( esk1_0 @ ( esk3_0 @ X71 @ X72 ) )
= ( esk4_0 @ ( esk1_0 @ X71 ) @ ( esk1_0 @ X72 ) ) ) )
& ( ~ ( epred2_0 @ X73 )
| ~ ( epred2_0 @ X74 )
| ( epred2_0 @ ( esk4_0 @ X73 @ X74 ) ) )
& ( ~ ( epred3_0 @ X75 )
| ~ ( epred3_0 @ X76 )
| ( epred3_0 @ ( esk5_0 @ X75 @ X76 ) ) )
& ( ~ ( epred2_0 @ X77 )
| ( epred3_0 @ ( esk2_0 @ X77 ) ) )
& ( ~ ( epred2_0 @ X78 )
| ~ ( epred2_0 @ X79 )
| ( ( esk2_0 @ ( esk4_0 @ X78 @ X79 ) )
= ( esk5_0 @ ( esk2_0 @ X78 ) @ ( esk2_0 @ X79 ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X13: b] :
( ( epred3_0 @ ( esk2_0 @ X13 ) )
| ~ ( epred2_0 @ X13 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_13,negated_conjecture,
! [X9: g] :
( ( epred2_0 @ ( esk1_0 @ X9 ) )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
thf(c_0_18,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_4]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]) ).
thf(c_0_26,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_27,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_4]) ).
thf(c_0_28,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
! [X11: a,X12: a] :
( ( epred3_0 @ ( esk5_0 @ X11 @ X12 ) )
| ~ ( epred3_0 @ X11 )
| ~ ( epred3_0 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_32,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
thf(c_0_33,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_16]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_35,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_18]) ).
thf(c_0_36,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_20]) ).
thf(c_0_37,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_39,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_40,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_22]) ).
thf(c_0_41,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_13]),c_0_24]) ).
thf(c_0_42,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_43,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_26]) ).
thf(c_0_44,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_13]),c_0_28]) ).
thf(c_0_45,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_4]) ).
thf(c_0_47,negated_conjecture,
! [X9: g,X10: g] :
( ( epred1_0 @ ( esk3_0 @ X9 @ X10 ) )
| ~ ( epred1_0 @ X9 )
| ~ ( epred1_0 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_48,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_49,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
thf(c_0_50,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_35]),c_0_36]) ).
thf(c_0_51,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_37,c_0_4]) ).
thf(c_0_52,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_53,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_38,c_0_4]) ).
thf(c_0_54,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_55,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_40]),c_0_41]) ).
thf(c_0_56,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_31]),c_0_43]),c_0_44]) ).
thf(c_0_57,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_45,c_0_4]) ).
thf(c_0_58,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_59,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk12_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_32]),c_0_35]) ).
thf(c_0_60,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_49]),c_0_50]) ).
thf(c_0_61,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk12_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_33]),c_0_36]) ).
thf(c_0_62,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_49]),c_0_50]) ).
thf(c_0_63,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_47]),c_0_40]),c_0_43]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_47]),c_0_55]),c_0_56]) ).
thf(c_0_65,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk11_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_41]),c_0_44]) ).
thf(c_0_66,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_55]),c_0_56]) ).
thf(c_0_67,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_68,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_13]),c_0_60]) ).
thf(c_0_69,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_13]),c_0_62]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_71,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_72,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_13]),c_0_64]) ).
thf(c_0_73,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred3_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_13]),c_0_66]) ).
thf(c_0_74,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_75,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_76,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_31]),c_0_68]),c_0_69]) ).
thf(c_0_77,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_31]),c_0_68]),c_0_69]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_79,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_31]),c_0_72]),c_0_73]) ).
thf(c_0_80,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_31]),c_0_72]),c_0_73]) ).
thf(c_0_81,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_31]),c_0_68]),c_0_69]) ).
thf(c_0_82,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_76,c_0_4]) ).
thf(c_0_83,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_77,c_0_4]) ).
thf(c_0_84,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_85,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_31]),c_0_72]),c_0_73]) ).
thf(c_0_86,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_79,c_0_4]) ).
thf(c_0_87,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_80,c_0_4]) ).
thf(c_0_88,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_89,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_81,c_0_4]) ).
thf(c_0_90,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk12_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_13]),c_0_49]) ).
thf(c_0_91,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_13]),c_0_50]) ).
thf(c_0_92,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_31]),c_0_68]),c_0_69]) ).
thf(c_0_93,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_85,c_0_4]) ).
thf(c_0_94,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_13]),c_0_55]) ).
thf(c_0_95,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_13]),c_0_56]) ).
thf(c_0_96,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_31]),c_0_72]),c_0_73]) ).
thf(c_0_97,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_98,negated_conjecture,
! [X13: b,X14: b] :
( ( ( esk2_0 @ ( esk4_0 @ X13 @ X14 ) )
= ( esk5_0 @ ( esk2_0 @ X13 ) @ ( esk2_0 @ X14 ) ) )
| ~ ( epred2_0 @ X13 )
| ~ ( epred2_0 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_99,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_47]),c_0_90]),c_0_91]) ).
thf(c_0_100,negated_conjecture,
( ( epred1_0 @ esk12_0 )
| ( epred1_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_47]),c_0_90]),c_0_91]) ).
thf(c_0_101,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_47]),c_0_94]),c_0_95]) ).
thf(c_0_102,negated_conjecture,
( ( epred1_0 @ esk11_0 )
| ( epred1_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_47]),c_0_94]),c_0_95]) ).
thf(c_0_103,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_104,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_105,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_106,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
thf(c_0_107,negated_conjecture,
! [X9: g,X10: g] :
( ( ( esk1_0 @ ( esk3_0 @ X9 @ X10 ) )
= ( esk4_0 @ ( esk1_0 @ X9 ) @ ( esk1_0 @ X10 ) ) )
| ~ ( epred1_0 @ X9 )
| ~ ( epred1_0 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_108,negated_conjecture,
epred1_0 @ esk12_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_13]),c_0_100]) ).
thf(c_0_109,negated_conjecture,
epred1_0 @ esk11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_13]),c_0_102]) ).
thf(c_0_110,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_111,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_103,c_0_98]) ).
thf(c_0_112,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_113,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_104,c_0_98]) ).
thf(c_0_114,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_115,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_105,c_0_98]) ).
thf(c_0_116,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_117,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_118,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_110,c_0_98]) ).
thf(c_0_119,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_120,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_112,c_0_98]) ).
thf(c_0_121,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_122,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_114,c_0_98]) ).
thf(c_0_123,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_124,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_116,c_0_98]) ).
thf(c_0_125,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_117,c_0_4]) ).
thf(c_0_126,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_127,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_119,c_0_4]) ).
thf(c_0_128,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_129,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_121,c_0_4]) ).
thf(c_0_130,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_131,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_123,c_0_4]) ).
thf(c_0_132,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_133,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_134,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_13]),c_0_108])]) ).
thf(c_0_135,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_13]),c_0_108])]) ).
thf(c_0_136,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_13]),c_0_108])]) ).
thf(c_0_137,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_13]),c_0_108])]) ).
thf(c_0_138,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_139,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_13]),c_0_108])]) ).
thf(c_0_140,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_13]),c_0_108])]) ).
thf(c_0_141,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_13]),c_0_108])]) ).
thf(c_0_142,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_13]),c_0_108])]) ).
thf(c_0_143,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_133,c_0_98]) ).
thf(c_0_144,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_13]),c_0_109])]) ).
thf(c_0_145,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_13]),c_0_109])]) ).
thf(c_0_146,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_13]),c_0_109])]) ).
thf(c_0_147,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_13]),c_0_109])]) ).
thf(c_0_148,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_149,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_138,c_0_98]) ).
thf(c_0_150,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_13]),c_0_109])]) ).
thf(c_0_151,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_13]),c_0_109])]) ).
thf(c_0_152,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_13]),c_0_109])]) ).
thf(c_0_153,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_13]),c_0_109])]) ).
thf(c_0_154,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_155,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_156,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_13]),c_0_145]) ).
thf(c_0_157,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_13]),c_0_147]) ).
thf(c_0_158,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_148,c_0_98]) ).
thf(c_0_159,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_160,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_13]),c_0_151]) ).
thf(c_0_161,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_13]),c_0_153]) ).
thf(c_0_162,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_154,c_0_98]) ).
thf(c_0_163,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_31]),c_0_156]),c_0_157]) ).
thf(c_0_164,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_165,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_31]),c_0_160]),c_0_161]) ).
thf(c_0_166,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_167,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_168,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_163,c_0_4]) ).
thf(c_0_169,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_31]),c_0_156]),c_0_157]) ).
thf(c_0_170,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_165,c_0_4]) ).
thf(c_0_171,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_31]),c_0_160]),c_0_161]) ).
thf(c_0_172,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_173,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_167,c_0_98]) ).
thf(c_0_174,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_13]),c_0_108])]) ).
thf(c_0_175,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_13]),c_0_108])]) ).
thf(c_0_176,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_13]),c_0_108])]) ).
thf(c_0_177,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_13]),c_0_108])]) ).
thf(c_0_178,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_179,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_172,c_0_98]) ).
thf(c_0_180,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_181,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_182,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_13]),c_0_109])]) ).
thf(c_0_183,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_13]),c_0_109])]) ).
thf(c_0_184,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_13]),c_0_109])]) ).
thf(c_0_185,negated_conjecture,
( ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_13]),c_0_109])]) ).
thf(c_0_186,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_178,c_0_98]) ).
thf(c_0_187,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_188,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_180,c_0_98]) ).
thf(c_0_189,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_181,c_0_4]) ).
thf(c_0_190,negated_conjecture,
epred1_0 @ esk7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_13]),c_0_183]) ).
thf(c_0_191,negated_conjecture,
epred1_0 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_13]),c_0_185]) ).
thf(c_0_192,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_193,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_187,c_0_4]) ).
thf(c_0_194,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_195,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_47]),c_0_190]),c_0_191])]) ).
thf(c_0_196,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_47]),c_0_185]),c_0_183]) ).
thf(c_0_197,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_47]),c_0_190]),c_0_191])]) ).
thf(c_0_198,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_47]),c_0_185]),c_0_183]) ).
thf(c_0_199,negated_conjecture,
( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_200,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_13]),c_0_108])]) ).
thf(c_0_201,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_13]),c_0_108])]) ).
thf(c_0_202,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_13]),c_0_108])]) ).
thf(c_0_203,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_13]),c_0_108])]) ).
thf(c_0_204,negated_conjecture,
( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_199,c_0_98]) ).
thf(c_0_205,negated_conjecture,
( ( epred3_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_13]),c_0_109])]) ).
thf(c_0_206,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_13]),c_0_109])]) ).
thf(c_0_207,negated_conjecture,
( ( epred3_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_13]),c_0_109])]) ).
thf(c_0_208,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( epred3_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_13]),c_0_109])]) ).
thf(c_0_209,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_210,negated_conjecture,
( ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_211,negated_conjecture,
epred3_0 @ esk9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_13]),c_0_206]) ).
thf(c_0_212,negated_conjecture,
epred3_0 @ esk8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_13]),c_0_208]) ).
thf(c_0_213,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_209,c_0_98]) ).
thf(c_0_214,negated_conjecture,
( ~ ( epred3_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_31]),c_0_211]),c_0_212])]) ).
thf(c_0_215,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_107]),c_0_108]),c_0_109])]) ).
thf(c_0_216,negated_conjecture,
( ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_214,c_0_4]) ).
thf(c_0_217,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ~ ( epred1_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_31]),c_0_211]),c_0_212])]) ).
thf(c_0_218,negated_conjecture,
( ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_47]),c_0_190]),c_0_191])]) ).
thf(c_0_219,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_47]),c_0_190]),c_0_191])]) ).
thf(c_0_220,negated_conjecture,
( ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_13]),c_0_108])]) ).
thf(c_0_221,negated_conjecture,
( ( epred1_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_13]),c_0_108])]) ).
thf(c_0_222,negated_conjecture,
~ ( epred2_0 @ ( esk1_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_13]),c_0_109])]) ).
thf(c_0_223,negated_conjecture,
epred1_0 @ esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_13]),c_0_109])]) ).
thf(c_0_224,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_13]),c_0_223])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU905^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n010.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 14:45:18 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.23 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/tmp/tmp.luUzd1T6dP/E---3.1_2956725.p
% 0.20/0.27 % Version: 3.5.1-ho
% 0.20/0.27 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.27 % Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.20/0.27 % Starting new_ho_3 with 300s (1) cores
% 0.20/0.27 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.27 % new_ho_3 with pid 2956753 completed with status 0
% 0.20/0.27 % Result found by new_ho_3
% 0.20/0.27 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.27 % Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.20/0.27 % Starting new_ho_3 with 300s (1) cores
% 0.20/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.20/0.27 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.27 % Search class: HGHSF-FFMM00-MSSFFFNN
% 0.20/0.27 % partial match(1): HGHSF-FFMM00-MSSFFFBN
% 0.20/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.27 % SubtermCWHack with pid 2956757 completed with status 0
% 0.20/0.27 % Result found by SubtermCWHack
% 0.20/0.27 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.27 % Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.20/0.27 % Starting new_ho_3 with 300s (1) cores
% 0.20/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.20/0.27 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.27 % Search class: HGHSF-FFMM00-MSSFFFNN
% 0.20/0.27 % partial match(1): HGHSF-FFMM00-MSSFFFBN
% 0.20/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.27 % Preprocessing time : 0.001 s
% 0.20/0.27
% 0.20/0.27 % Proof found!
% 0.20/0.27 % SZS status Theorem
% 0.20/0.27 % SZS output start CNFRefutation
% See solution above
% 0.20/0.27 % Parsed axioms : 4
% 0.20/0.27 % Removed by relevancy pruning/SinE : 3
% 0.20/0.27 % Initial clauses : 62
% 0.20/0.27 % Removed in clause preprocessing : 0
% 0.20/0.27 % Initial clauses in saturation : 62
% 0.20/0.27 % Processed clauses : 226
% 0.20/0.27 % ...of these trivial : 0
% 0.20/0.27 % ...subsumed : 1
% 0.20/0.27 % ...remaining for further processing : 225
% 0.20/0.27 % Other redundant clauses eliminated : 0
% 0.20/0.27 % Clauses deleted for lack of memory : 0
% 0.20/0.27 % Backward-subsumed : 175
% 0.20/0.27 % Backward-rewritten : 30
% 0.20/0.27 % Generated clauses : 165
% 0.20/0.27 % ...of the previous two non-redundant : 164
% 0.20/0.27 % ...aggressively subsumed : 0
% 0.20/0.27 % Contextual simplify-reflections : 92
% 0.20/0.27 % Paramodulations : 165
% 0.20/0.27 % Factorizations : 0
% 0.20/0.27 % NegExts : 0
% 0.20/0.27 % Equation resolutions : 0
% 0.20/0.27 % Disequality decompositions : 0
% 0.20/0.27 % Total rewrite steps : 115
% 0.20/0.27 % ...of those cached : 108
% 0.20/0.27 % Propositional unsat checks : 0
% 0.20/0.27 % Propositional check models : 0
% 0.20/0.27 % Propositional check unsatisfiable : 0
% 0.20/0.27 % Propositional clauses : 0
% 0.20/0.27 % Propositional clauses after purity: 0
% 0.20/0.27 % Propositional unsat core size : 0
% 0.20/0.27 % Propositional preprocessing time : 0.000
% 0.20/0.27 % Propositional encoding time : 0.000
% 0.20/0.27 % Propositional solver time : 0.000
% 0.20/0.27 % Success case prop preproc time : 0.000
% 0.20/0.27 % Success case prop encoding time : 0.000
% 0.20/0.27 % Success case prop solver time : 0.000
% 0.20/0.27 % Current number of processed clauses : 20
% 0.20/0.27 % Positive orientable unit clauses : 7
% 0.20/0.27 % Positive unorientable unit clauses: 0
% 0.20/0.27 % Negative unit clauses : 1
% 0.20/0.27 % Non-unit-clauses : 12
% 0.20/0.27 % Current number of unprocessed clauses: 0
% 0.20/0.27 % ...number of literals in the above : 0
% 0.20/0.27 % Current number of archived formulas : 0
% 0.20/0.27 % Current number of archived clauses : 205
% 0.20/0.27 % Clause-clause subsumption calls (NU) : 2368
% 0.20/0.27 % Rec. Clause-clause subsumption calls : 655
% 0.20/0.27 % Non-unit clause-clause subsumptions : 261
% 0.20/0.27 % Unit Clause-clause subsumption calls : 41
% 0.20/0.27 % Rewrite failures with RHS unbound : 0
% 0.20/0.27 % BW rewrite match attempts : 7
% 0.20/0.27 % BW rewrite match successes : 7
% 0.20/0.27 % Condensation attempts : 0
% 0.20/0.27 % Condensation successes : 0
% 0.20/0.27 % Termbank termtop insertions : 8604
% 0.20/0.27 % Search garbage collected termcells : 1056
% 0.20/0.27
% 0.20/0.27 % -------------------------------------------------
% 0.20/0.27 % User time : 0.017 s
% 0.20/0.27 % System time : 0.001 s
% 0.20/0.27 % Total time : 0.018 s
% 0.20/0.27 % Maximum resident set size: 3928 pages
% 0.20/0.27
% 0.20/0.27 % -------------------------------------------------
% 0.20/0.27 % User time : 0.018 s
% 0.20/0.27 % System time : 0.004 s
% 0.20/0.27 % Total time : 0.022 s
% 0.20/0.27 % Maximum resident set size: 4864 pages
% 0.20/0.27 % E exiting
%------------------------------------------------------------------------------