%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV128^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:36:10 AM UTC 2026
% Result : Theorem 1.42s 0.44s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 1
% Syntax : Number of formulae : 84 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 500 ( 2 equ; 0 cnn)
% Maximal formula atoms : 69 ( 5 avg)
% Number of connectives : 3568 ( 146 ~; 401 |; 65 &;2925 @)
% ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 227 ( 227 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 3 con; 0-5 aty)
% Number of variables : 241 ( 4 ^; 228 !; 9 ?; 241 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( a > a > $o ) > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
esk2_0: a ).
thf(decl_26,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_27,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_28,type,
epred2_1: ( a > a > $o ) > a > a > $o ).
thf(decl_29,type,
epred3_1: ( a > a > $o ) > a > a > $o ).
thf(decl_30,type,
esk5_4: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(decl_31,type,
esk6_4: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(decl_32,type,
esk7_4: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(decl_33,type,
esk8_4: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(decl_34,type,
esk9_4: ( a > a > $o ) > a > a > ( a > a > $o ) > a ).
thf(decl_35,type,
epred4_3: ( a > a > $o ) > a > a > a > a > $o ).
thf(decl_36,type,
esk10_1: ( a > a > $o ) > a ).
thf(decl_37,type,
esk11_1: ( a > a > $o ) > a ).
thf(decl_38,type,
esk12_1: ( a > a > $o ) > a ).
thf(decl_39,type,
epred5_0: a > a > $o ).
thf(cTHM253_B_pme,conjecture,
! [X1: ( a > a > $o ) > $o,X2: a,X3: a] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( X1 @ X8 )
& ( X7
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X12: a,X13: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ! [X12: a,X13: a,X14: a] :
( ( ( X11 @ X12 @ X13 )
& ( X11 @ X13 @ X14 ) )
=> ( X11 @ X12 @ X14 ) ) )
=> ( X11 @ X9 @ X10 ) ) ) ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X14: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X14 ) )
=> ( X4 @ X5 @ X14 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X1 @ X7 )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X14: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X14 ) )
=> ( X4 @ X5 @ X14 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XxHN85GbQ7/E---3.1_2235619.p',cTHM253_B_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > a > $o ) > $o,X2: a,X3: a] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( X1 @ X8 )
& ( X7
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X12: a,X13: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ! [X12: a,X13: a,X14: a] :
( ( ( X11 @ X12 @ X13 )
& ( X11 @ X13 @ X14 ) )
=> ( X11 @ X12 @ X14 ) ) )
=> ( X11 @ X9 @ X10 ) ) ) ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X14: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X14 ) )
=> ( X4 @ X5 @ X14 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X1 @ X7 )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X14: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X14 ) )
=> ( X4 @ X5 @ X14 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM253_B_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: ( a > a > $o ) > $o,X2: a,X3: a] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( X1 @ X8 )
& ! [X33: a,X34: a] :
( ( X7 @ X33 @ X34 )
<=> ! [X11: a > a > $o] :
( ( ! [X12: a,X13: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ! [X12: a,X13: a,X14: a] :
( ( ( X11 @ X12 @ X13 )
& ( X11 @ X13 @ X14 ) )
=> ( X11 @ X12 @ X14 ) ) )
=> ( X11 @ X33 @ X34 ) ) ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X14: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X14 ) )
=> ( X4 @ X5 @ X14 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X1 @ X7 )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X14: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X14 ) )
=> ( X4 @ X5 @ X14 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X38: a > a > $o,X43: a,X44: a,X45: a > a > $o,X52: a,X53: a,X54: a,X55: a,X56: a,X61: a,X62: a,X63: a > a > $o,X64: a,X65: a,X66: a] :
( ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ( epred1_0 @ ( epred3_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( epred1_0 @ ( epred3_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( epred1_0 @ ( epred3_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ( X45 @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ~ ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( epred3_1 @ X38 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ( X45 @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( X45 @ ( esk8_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ~ ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( X45 @ ( esk7_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk9_4 @ X38 @ X43 @ X44 @ X45 ) )
| ~ ( X45 @ ( esk5_4 @ X38 @ X43 @ X44 @ X45 ) @ ( esk6_4 @ X38 @ X43 @ X44 @ X45 ) )
| ( X45 @ X43 @ X44 )
| ~ ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ~ ( epred3_1 @ X38 @ X52 @ X53 )
| ( epred4_3 @ X38 @ X43 @ X44 @ X52 @ X53 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( epred3_1 @ X38 @ X52 @ X53 )
| ( epred4_3 @ X38 @ X43 @ X44 @ X52 @ X53 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( epred3_1 @ X38 @ X52 @ X53 )
| ( epred4_3 @ X38 @ X43 @ X44 @ X52 @ X53 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X54 @ X55 )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X55 @ X56 )
| ( epred4_3 @ X38 @ X43 @ X44 @ X54 @ X56 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X54 @ X55 )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X55 @ X56 )
| ( epred4_3 @ X38 @ X43 @ X44 @ X54 @ X56 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X54 @ X55 )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X55 @ X56 )
| ( epred4_3 @ X38 @ X43 @ X44 @ X54 @ X56 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X43 @ X44 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X43 @ X44 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( epred4_3 @ X38 @ X43 @ X44 @ X43 @ X44 )
| ( epred2_1 @ X38 @ X43 @ X44 )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ( epred2_1 @ X38 @ ( esk3_1 @ X38 ) @ ( esk4_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( epred2_1 @ X38 @ ( esk3_1 @ X38 ) @ ( esk4_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ( epred2_1 @ X38 @ ( esk3_1 @ X38 ) @ ( esk4_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk10_1 @ X38 ) @ ( esk11_1 @ X38 ) )
| ~ ( X38 @ ( esk3_1 @ X38 ) @ ( esk4_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ( X38 @ ( esk11_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( X38 @ ( esk3_1 @ X38 ) @ ( esk4_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X38 @ ( esk10_1 @ X38 ) @ ( esk12_1 @ X38 ) )
| ~ ( X38 @ ( esk3_1 @ X38 ) @ ( esk4_1 @ X38 ) )
| ( X38 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X63 )
| ~ ( X63 @ X61 @ X62 )
| ( epred5_0 @ X61 @ X62 ) )
& ( ~ ( epred5_0 @ X64 @ X65 )
| ~ ( epred5_0 @ X65 @ X66 )
| ( epred5_0 @ X64 @ X66 ) )
& ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( epred2_1 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X2: a,X4: a > a > $o,X3: a] :
( ( epred5_0 @ X2 @ X3 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( epred1_0 @ ( epred3_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_10,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred2_1 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X2: a,X3: a,X5: a] :
( ( epred5_0 @ X2 @ X5 )
| ~ ( epred5_0 @ X2 @ X3 )
| ~ ( epred5_0 @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
thf(c_0_14,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_5]) ).
thf(c_0_15,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_16,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred1_0 @ ( epred3_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_17,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X2: a,X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ X2 @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_14]),c_0_8]) ).
thf(c_0_20,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_15]),c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
thf(c_0_22,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_23,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,negated_conjecture,
! [X2: a,X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ X2 @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X7: a > a > $o,X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X7 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ X7 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_21]),c_0_16]) ).
thf(c_0_26,negated_conjecture,
! [X4: a > a > $o] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_5]) ).
thf(c_0_27,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_28,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_29,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_30,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_26]),c_0_8]) ).
thf(c_0_31,negated_conjecture,
! [X4: a > a > $o] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_11]) ).
thf(c_0_32,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_5]) ).
thf(c_0_33,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_34,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_35,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk6_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_31]),c_0_16]) ).
thf(c_0_36,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_37,negated_conjecture,
! [X2: a,X4: a > a > $o] :
( ( epred5_0 @ X2 @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_32]) ).
thf(c_0_38,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_5]) ).
thf(c_0_39,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_11]) ).
thf(c_0_40,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_41,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_42,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk11_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_5]),c_0_38]),c_0_30]) ).
thf(c_0_43,negated_conjecture,
~ ( epred5_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_44,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_45,negated_conjecture,
! [X2: a,X4: a > a > $o] :
( ( epred5_0 @ X2 @ ( esk9_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
thf(c_0_46,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk7_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) @ ( esk8_4 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_11]) ).
thf(c_0_47,negated_conjecture,
epred5_0 @ ( esk11_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
thf(c_0_48,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_49,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_11]),c_0_46]),c_0_35]) ).
thf(c_0_50,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X7 @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_51,negated_conjecture,
! [X2: a] :
( ( epred5_0 @ X2 @ ( esk12_1 @ epred5_0 ) )
| ~ ( epred5_0 @ X2 @ ( esk11_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_47]) ).
thf(c_0_52,negated_conjecture,
epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk11_1 @ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_43]) ).
thf(c_0_53,negated_conjecture,
! [X2: a,X4: a > a > $o,X3: a] :
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk6_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ( X4 @ ( esk8_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk9_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ( X4 @ X2 @ X3 )
| ~ ( epred2_1 @ epred5_0 @ X2 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_43]) ).
thf(c_0_54,negated_conjecture,
! [X4: a > a > $o] :
( ( epred2_1 @ X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_55,negated_conjecture,
! [X2: a] :
( ( epred5_0 @ X2 @ ( esk12_1 @ epred5_0 ) )
| ( epred1_0 @ ( epred3_1 @ epred5_0 ) )
| ~ ( epred5_0 @ X2 @ ( esk11_1 @ epred5_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_43]) ).
thf(c_0_56,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_57,negated_conjecture,
! [X4: a > a > $o] :
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk9_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_43]) ).
thf(c_0_58,negated_conjecture,
! [X4: a > a > $o] :
( ( epred1_0 @ ( epred3_1 @ X4 ) )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_59,negated_conjecture,
( ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) )
| ( epred1_0 @ ( epred3_1 @ epred5_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_16]),c_0_43]) ).
thf(c_0_60,negated_conjecture,
! [X2: a,X4: a > a > $o,X3: a] :
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk6_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ( X4 @ ( esk7_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk8_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ( X4 @ X2 @ X3 )
| ~ ( epred2_1 @ epred5_0 @ X2 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_52])]),c_0_43]) ).
thf(c_0_61,negated_conjecture,
! [X4: a > a > $o] :
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk9_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_51]),c_0_52])]) ).
thf(c_0_62,negated_conjecture,
epred1_0 @ ( epred3_1 @ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_43]) ).
thf(c_0_63,negated_conjecture,
! [X4: a > a > $o] :
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk7_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_43]) ).
thf(c_0_64,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk9_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_61]),c_0_62])]) ).
thf(c_0_65,negated_conjecture,
! [X4: a > a > $o] :
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk7_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_52])]) ).
thf(c_0_66,negated_conjecture,
! [X2: a] :
( ( epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ X2 @ ( esk9_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_64]) ).
thf(c_0_67,negated_conjecture,
! [X4: a > a > $o] :
( ( epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk7_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ X4 ) )
| ( X4 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_65]),c_0_62])]) ).
thf(c_0_68,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X7 @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_69,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( epred3_1 @ X4 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_70,negated_conjecture,
( ( epred5_0 @ ( esk7_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) @ ( esk9_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_71,negated_conjecture,
! [X2: a,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk8_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk9_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ( X4 @ X2 @ X3 )
| ~ ( X4 @ ( esk5_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk6_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ~ ( epred2_1 @ epred5_0 @ X2 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_51]),c_0_52])]),c_0_43]) ).
thf(c_0_72,negated_conjecture,
( ( epred3_1 @ epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred2_1 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_43]) ).
thf(c_0_73,negated_conjecture,
! [X2: a,X3: a,X5: a] :
( ( epred5_0 @ X2 @ ( esk9_4 @ epred5_0 @ X3 @ X5 @ epred5_0 ) )
| ( epred5_0 @ X3 @ X5 )
| ~ ( epred5_0 @ ( esk5_4 @ epred5_0 @ X3 @ X5 @ epred5_0 ) @ ( esk6_4 @ epred5_0 @ X3 @ X5 @ epred5_0 ) )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ epred5_0 @ X3 @ X5 @ epred5_0 ) )
| ~ ( epred2_1 @ epred5_0 @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_71]) ).
thf(c_0_74,negated_conjecture,
( ( epred5_0 @ ( esk5_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) @ ( esk6_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred2_1 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_72]),c_0_62])]) ).
thf(c_0_75,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk8_4 @ X4 @ X2 @ X3 @ X7 ) )
| ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_76,negated_conjecture,
! [X2: a,X7: a > a > $o,X4: a > a > $o,X3: a] :
( ( X7 @ X2 @ X3 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( X7 @ ( esk7_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk9_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( X7 @ ( esk5_4 @ X4 @ X2 @ X3 @ X7 ) @ ( esk6_4 @ X4 @ X2 @ X3 @ X7 ) )
| ~ ( epred2_1 @ X4 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_77,negated_conjecture,
! [X2: a] :
( ( epred5_0 @ X2 @ ( esk9_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ X2 @ ( esk8_4 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) @ epred5_0 ) )
| ~ ( epred2_1 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
thf(c_0_78,negated_conjecture,
! [X2: a,X4: a > a > $o,X3: a] :
( ( X4 @ ( esk7_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk8_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ( X4 @ X2 @ X3 )
| ~ ( X4 @ ( esk5_4 @ epred5_0 @ X2 @ X3 @ X4 ) @ ( esk6_4 @ epred5_0 @ X2 @ X3 @ X4 ) )
| ~ ( epred2_1 @ epred5_0 @ X2 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_51]),c_0_52])]),c_0_43]) ).
thf(c_0_79,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred2_1 @ epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_43]),c_0_78]),c_0_74]) ).
thf(c_0_80,negated_conjecture,
! [X4: a > a > $o] :
( ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk10_1 @ X4 ) @ ( esk12_1 @ X4 ) )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk4_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_81,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_54]),c_0_43]) ).
thf(c_0_82,negated_conjecture,
~ ( epred5_0 @ ( esk10_1 @ epred5_0 ) @ ( esk12_1 @ epred5_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_43]) ).
thf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV128^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.17 % Computer : n013.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Sep 29 15:11:51 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 Running higher-order theorem proving
% 0.12/0.22 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/tmp/tmp.XxHN85GbQ7/E---3.1_2235619.p
% 1.42/0.44 % Version: 3.5.1-ho
% 1.42/0.44 % Preprocessing class: HSMSSMSSSSSNHHA.
% 1.42/0.44 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.44 % Starting full_lambda_6 with 900s (3) cores
% 1.42/0.44 % Starting post_as_ho1 with 300s (1) cores
% 1.42/0.44 % Starting lpo6_lambda_fix with 300s (1) cores
% 1.42/0.44 % Starting ho_unfolding_1 with 300s (1) cores
% 1.42/0.44 % Starting new_ho_10_unif with 300s (1) cores
% 1.42/0.44 % Starting ho_unfolding_2 with 300s (1) cores
% 1.42/0.44 % lpo6_lambda_fix with pid 2235634 completed with status 0
% 1.42/0.44 % Result found by lpo6_lambda_fix
% 1.42/0.44 % Preprocessing class: HSMSSMSSSSSNHHA.
% 1.42/0.44 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.44 % Starting full_lambda_6 with 900s (3) cores
% 1.42/0.44 % Starting post_as_ho1 with 300s (1) cores
% 1.42/0.44 % Starting lpo6_lambda_fix with 300s (1) cores
% 1.42/0.44 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 1.42/0.44 % No SInE strategy applied
% 1.42/0.44 % Search class: HGUNF-FFMF32-SHHFFMBN
% 1.42/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.42/0.44 % Starting SubtermCWHack with 28s (1) cores
% 1.42/0.44 % SubtermCWHack with pid 2235641 completed with status 0
% 1.42/0.44 % Result found by SubtermCWHack
% 1.42/0.44 % Preprocessing class: HSMSSMSSSSSNHHA.
% 1.42/0.44 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.44 % Starting full_lambda_6 with 900s (3) cores
% 1.42/0.44 % Starting post_as_ho1 with 300s (1) cores
% 1.42/0.44 % Starting lpo6_lambda_fix with 300s (1) cores
% 1.42/0.44 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 1.42/0.44 % No SInE strategy applied
% 1.42/0.44 % Search class: HGUNF-FFMF32-SHHFFMBN
% 1.42/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.42/0.44 % Starting SubtermCWHack with 28s (1) cores
% 1.42/0.44 % Preprocessing time : 0.002 s
% 1.42/0.44
% 1.42/0.44 % Proof found!
% 1.42/0.44 % SZS status Theorem
% 1.42/0.44 % SZS output start CNFRefutation
% See solution above
% 1.42/0.44 % Parsed axioms : 2
% 1.42/0.44 % Removed by relevancy pruning/SinE : 0
% 1.42/0.44 % Initial clauses : 40
% 1.42/0.44 % Removed in clause preprocessing : 1
% 1.42/0.44 % Initial clauses in saturation : 39
% 1.42/0.44 % Processed clauses : 689
% 1.42/0.44 % ...of these trivial : 3
% 1.42/0.44 % ...subsumed : 250
% 1.42/0.44 % ...remaining for further processing : 436
% 1.42/0.44 % Other redundant clauses eliminated : 0
% 1.42/0.44 % Clauses deleted for lack of memory : 0
% 1.42/0.44 % Backward-subsumed : 79
% 1.42/0.44 % Backward-rewritten : 3
% 1.42/0.44 % Generated clauses : 2679
% 1.42/0.44 % ...of the previous two non-redundant : 2238
% 1.42/0.44 % ...aggressively subsumed : 0
% 1.42/0.44 % Contextual simplify-reflections : 23
% 1.42/0.44 % Paramodulations : 2677
% 1.42/0.44 % Factorizations : 2
% 1.42/0.44 % NegExts : 0
% 1.42/0.44 % Equation resolutions : 0
% 1.42/0.44 % Disequality decompositions : 0
% 1.42/0.44 % Total rewrite steps : 497
% 1.42/0.44 % ...of those cached : 494
% 1.42/0.44 % Propositional unsat checks : 0
% 1.42/0.44 % Propositional check models : 0
% 1.42/0.44 % Propositional check unsatisfiable : 0
% 1.42/0.44 % Propositional clauses : 0
% 1.42/0.44 % Propositional clauses after purity: 0
% 1.42/0.44 % Propositional unsat core size : 0
% 1.42/0.44 % Propositional preprocessing time : 0.000
% 1.42/0.44 % Propositional encoding time : 0.000
% 1.42/0.44 % Propositional solver time : 0.000
% 1.42/0.44 % Success case prop preproc time : 0.000
% 1.42/0.44 % Success case prop encoding time : 0.000
% 1.42/0.44 % Success case prop solver time : 0.000
% 1.42/0.44 % Current number of processed clauses : 354
% 1.42/0.44 % Positive orientable unit clauses : 3
% 1.42/0.44 % Positive unorientable unit clauses: 0
% 1.42/0.44 % Negative unit clauses : 3
% 1.42/0.44 % Non-unit-clauses : 348
% 1.42/0.44 % Current number of unprocessed clauses: 1558
% 1.42/0.44 % ...number of literals in the above : 14099
% 1.42/0.44 % Current number of archived formulas : 0
% 1.42/0.44 % Current number of archived clauses : 82
% 1.42/0.44 % Clause-clause subsumption calls (NU) : 27013
% 1.42/0.44 % Rec. Clause-clause subsumption calls : 3574
% 1.42/0.44 % Non-unit clause-clause subsumptions : 330
% 1.42/0.44 % Unit Clause-clause subsumption calls : 189
% 1.42/0.44 % Rewrite failures with RHS unbound : 0
% 1.42/0.44 % BW rewrite match attempts : 1
% 1.42/0.44 % BW rewrite match successes : 1
% 1.42/0.44 % Condensation attempts : 0
% 1.42/0.44 % Condensation successes : 0
% 1.42/0.44 % Termbank termtop insertions : 192566
% 1.42/0.44 % Search garbage collected termcells : 963
% 1.42/0.44
% 1.42/0.44 % -------------------------------------------------
% 1.42/0.44 % User time : 0.196 s
% 1.42/0.44 % System time : 0.006 s
% 1.42/0.44 % Total time : 0.202 s
% 1.42/0.44 % Maximum resident set size: 3640 pages
% 1.42/0.44
% 1.42/0.44 % -------------------------------------------------
% 1.42/0.44 % User time : 0.199 s
% 1.42/0.44 % System time : 0.010 s
% 1.42/0.44 % Total time : 0.209 s
% 1.42/0.44 % Maximum resident set size: 4864 pages
% 1.42/0.44 % E exiting
%------------------------------------------------------------------------------