%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV208^5 : 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 : n002.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 08:35:12 AM UTC 2026
% Result : Theorem 0.19s 0.30s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 1
% Syntax : Number of formulae : 153 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 882 ( 454 equ; 0 cnn)
% Maximal formula atoms : 160 ( 5 avg)
% Number of connectives : 3220 ( 148 ~; 626 |; 90 &;2342 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 300 ( 300 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 7 con; 0-3 aty)
% Number of variables : 234 ( 0 ^; 198 !; 36 ?; 234 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
z: a ).
thf(decl_24,type,
y: a ).
thf(decl_25,type,
cP: a > a > a ).
thf(decl_26,type,
w: a ).
thf(decl_27,type,
x: a ).
thf(decl_28,type,
c0: a ).
thf(decl_29,type,
esk1_1: ( a > a > a > $o ) > a ).
thf(decl_30,type,
esk2_1: ( a > a > a > $o ) > a ).
thf(decl_31,type,
esk3_1: ( a > a > a > $o ) > a ).
thf(decl_32,type,
esk4_1: ( a > a > a > $o ) > a ).
thf(decl_33,type,
esk5_1: ( a > a > a > $o ) > a ).
thf(decl_34,type,
esk6_1: ( a > a > a > $o ) > a ).
thf(decl_35,type,
esk7_1: ( a > a > a > $o ) > a ).
thf(decl_36,type,
esk8_1: ( a > a > a > $o ) > a ).
thf(decl_37,type,
esk9_1: ( a > a > a > $o ) > a ).
thf(decl_38,type,
esk10_1: ( a > a > a > $o ) > a ).
thf(decl_39,type,
esk11_1: ( a > a > a > $o ) > a ).
thf(decl_40,type,
esk12_1: ( a > a > a > $o ) > a ).
thf(decl_41,type,
esk13_1: ( a > a > a > $o ) > a ).
thf(decl_42,type,
esk14_1: ( a > a > a > $o ) > a ).
thf(decl_43,type,
esk15_1: ( a > a > a > $o ) > a ).
thf(decl_44,type,
esk16_1: ( a > a > a > $o ) > a ).
thf(decl_45,type,
esk17_1: ( a > a > a > $o ) > a ).
thf(decl_46,type,
esk18_1: ( a > a > a > $o ) > a ).
thf(decl_47,type,
epred1_0: a > a > a > $o ).
thf(cS_INCL_LEM1_pme,conjecture,
( ( ! [X1: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = c0 )
& ( X3 = X4 ) )
| ( ( X3 = c0 )
& ( X2 = X4 ) )
| ? [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( X2
= ( cP @ X5 @ X6 ) )
& ( X3
= ( cP @ X7 @ X8 ) )
& ( X4
= ( cP @ X9 @ X10 ) )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ x @ y @ y ) )
& ! [X1: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = c0 )
& ( X3 = X4 ) )
| ( ( X3 = c0 )
& ( X2 = X4 ) )
| ? [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( X2
= ( cP @ X5 @ X6 ) )
& ( X3
= ( cP @ X7 @ X8 ) )
& ( X4
= ( cP @ X9 @ X10 ) )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ w @ z @ z ) ) )
=> ! [X1: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = c0 )
& ( X3 = X4 ) )
| ( ( X3 = c0 )
& ( X2 = X4 ) )
| ? [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( X2
= ( cP @ X5 @ X6 ) )
& ( X3
= ( cP @ X7 @ X8 ) )
& ( X4
= ( cP @ X9 @ X10 ) )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KlMIAMdS09/E---3.1_1422193.p',cS_INCL_LEM1_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = c0 )
& ( X3 = X4 ) )
| ( ( X3 = c0 )
& ( X2 = X4 ) )
| ? [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( X2
= ( cP @ X5 @ X6 ) )
& ( X3
= ( cP @ X7 @ X8 ) )
& ( X4
= ( cP @ X9 @ X10 ) )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ x @ y @ y ) )
& ! [X1: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = c0 )
& ( X3 = X4 ) )
| ( ( X3 = c0 )
& ( X2 = X4 ) )
| ? [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( X2
= ( cP @ X5 @ X6 ) )
& ( X3
= ( cP @ X7 @ X8 ) )
& ( X4
= ( cP @ X9 @ X10 ) )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ w @ z @ z ) ) )
=> ! [X1: a > a > a > $o] :
( ( $true
& ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = c0 )
& ( X3 = X4 ) )
| ( ( X3 = c0 )
& ( X2 = X4 ) )
| ? [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( X2
= ( cP @ X5 @ X6 ) )
& ( X3
= ( cP @ X7 @ X8 ) )
& ( X4
= ( cP @ X9 @ X10 ) )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) ) )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ( X1 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ),
inference(assume_negation,[status(cth)],[cS_INCL_LEM1_pme]) ).
thf(c_0_2,negated_conjecture,
! [X41: a > a > a > $o,X51: a > a > a > $o,X62: a,X63: a,X64: a,X65: a,X66: a,X67: a,X68: a,X69: a,X70: a] :
( ( ( ( esk1_1 @ X41 )
= ( cP @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk2_1 @ X41 )
= ( cP @ ( esk6_1 @ X41 ) @ ( esk7_1 @ X41 ) ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X41 )
= ( cP @ ( esk8_1 @ X41 ) @ ( esk9_1 @ X41 ) ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk4_1 @ X41 ) @ ( esk6_1 @ X41 ) @ ( esk8_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk5_1 @ X41 ) @ ( esk7_1 @ X41 ) @ ( esk9_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk1_1 @ X41 )
= ( cP @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk2_1 @ X41 )
= ( cP @ ( esk6_1 @ X41 ) @ ( esk7_1 @ X41 ) ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X41 )
= ( cP @ ( esk8_1 @ X41 ) @ ( esk9_1 @ X41 ) ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk4_1 @ X41 ) @ ( esk6_1 @ X41 ) @ ( esk8_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk5_1 @ X41 ) @ ( esk7_1 @ X41 ) @ ( esk9_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= c0 )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk1_1 @ X41 )
= ( cP @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk2_1 @ X41 )
= ( cP @ ( esk6_1 @ X41 ) @ ( esk7_1 @ X41 ) ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X41 )
= ( cP @ ( esk8_1 @ X41 ) @ ( esk9_1 @ X41 ) ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk4_1 @ X41 ) @ ( esk6_1 @ X41 ) @ ( esk8_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk5_1 @ X41 ) @ ( esk7_1 @ X41 ) @ ( esk9_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= c0 )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk1_1 @ X41 )
= ( cP @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk2_1 @ X41 )
= ( cP @ ( esk6_1 @ X41 ) @ ( esk7_1 @ X41 ) ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X41 )
= ( cP @ ( esk8_1 @ X41 ) @ ( esk9_1 @ X41 ) ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk4_1 @ X41 ) @ ( esk6_1 @ X41 ) @ ( esk8_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( X41 @ ( esk5_1 @ X41 ) @ ( esk7_1 @ X41 ) @ ( esk9_1 @ X41 ) )
| ( ( esk1_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ( ( esk2_1 @ X41 )
= ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ~ ( X41 @ ( esk1_1 @ X41 ) @ ( esk2_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ $true
| ( X41 @ x @ y @ y ) )
& ( ( ( esk10_1 @ X51 )
= ( cP @ ( esk13_1 @ X51 ) @ ( esk14_1 @ X51 ) ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk11_1 @ X51 )
= ( cP @ ( esk15_1 @ X51 ) @ ( esk16_1 @ X51 ) ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk12_1 @ X51 )
= ( cP @ ( esk17_1 @ X51 ) @ ( esk18_1 @ X51 ) ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk13_1 @ X51 ) @ ( esk15_1 @ X51 ) @ ( esk17_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk14_1 @ X51 ) @ ( esk16_1 @ X51 ) @ ( esk18_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk10_1 @ X51 )
= ( cP @ ( esk13_1 @ X51 ) @ ( esk14_1 @ X51 ) ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk11_1 @ X51 )
= ( cP @ ( esk15_1 @ X51 ) @ ( esk16_1 @ X51 ) ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk12_1 @ X51 )
= ( cP @ ( esk17_1 @ X51 ) @ ( esk18_1 @ X51 ) ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk13_1 @ X51 ) @ ( esk15_1 @ X51 ) @ ( esk17_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk14_1 @ X51 ) @ ( esk16_1 @ X51 ) @ ( esk18_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= c0 )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk10_1 @ X51 )
= ( cP @ ( esk13_1 @ X51 ) @ ( esk14_1 @ X51 ) ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk11_1 @ X51 )
= ( cP @ ( esk15_1 @ X51 ) @ ( esk16_1 @ X51 ) ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk12_1 @ X51 )
= ( cP @ ( esk17_1 @ X51 ) @ ( esk18_1 @ X51 ) ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk13_1 @ X51 ) @ ( esk15_1 @ X51 ) @ ( esk17_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk14_1 @ X51 ) @ ( esk16_1 @ X51 ) @ ( esk18_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= c0 )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk10_1 @ X51 )
= ( cP @ ( esk13_1 @ X51 ) @ ( esk14_1 @ X51 ) ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk11_1 @ X51 )
= ( cP @ ( esk15_1 @ X51 ) @ ( esk16_1 @ X51 ) ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( ( esk12_1 @ X51 )
= ( cP @ ( esk17_1 @ X51 ) @ ( esk18_1 @ X51 ) ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk13_1 @ X51 ) @ ( esk15_1 @ X51 ) @ ( esk17_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ( X51 @ ( esk14_1 @ X51 ) @ ( esk16_1 @ X51 ) @ ( esk18_1 @ X51 ) )
| ( ( esk10_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ( ( esk11_1 @ X51 )
= ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& ( ~ ( X51 @ ( esk10_1 @ X51 ) @ ( esk11_1 @ X51 ) @ ( esk12_1 @ X51 ) )
| ~ $true
| ( X51 @ w @ z @ z ) )
& $true
& ( ( X62 != c0 )
| ( X63 != X64 )
| ( epred1_0 @ X62 @ X63 @ X64 ) )
& ( ( X63 != c0 )
| ( X62 != X64 )
| ( epred1_0 @ X62 @ X63 @ X64 ) )
& ( ( X62
!= ( cP @ X65 @ X66 ) )
| ( X63
!= ( cP @ X67 @ X68 ) )
| ( X64
!= ( cP @ X69 @ X70 ) )
| ~ ( epred1_0 @ X65 @ X67 @ X69 )
| ~ ( epred1_0 @ X66 @ X68 @ X70 )
| ( epred1_0 @ X62 @ X63 @ X64 ) )
& ~ ( epred1_0 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ),
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,
! [X2: a,X3: a,X5: a,X6: a,X4: a,X8: a,X7: a,X9: a,X10: a] :
( ( epred1_0 @ X2 @ X5 @ X8 )
| ( X2
!= ( cP @ X3 @ X4 ) )
| ( X5
!= ( cP @ X6 @ X7 ) )
| ( X8
!= ( cP @ X9 @ X10 ) )
| ~ ( epred1_0 @ X3 @ X6 @ X9 )
| ~ ( epred1_0 @ X4 @ X7 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X3: a,X2: a,X5: a,X4: a,X7: a,X6: a] :
( ( epred1_0 @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) @ ( cP @ X6 @ X7 ) )
| ~ ( epred1_0 @ X3 @ X5 @ X7 )
| ~ ( epred1_0 @ X2 @ X4 @ X6 ) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_3])])]) ).
thf(c_0_7,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_12,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk5_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk4_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_14,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_8]) ).
thf(c_0_15,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_9]) ).
thf(c_0_17,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_18,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_10]) ).
thf(c_0_19,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_21,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk5_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk4_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
thf(c_0_22,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_12]) ).
thf(c_0_23,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_24,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk1_1 @ epred1_0 )
= c0 )
| ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk4_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_25,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_15]) ).
thf(c_0_26,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_27,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk5_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk4_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_16]) ).
thf(c_0_28,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_17]) ).
thf(c_0_29,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_30,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk14_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk13_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
thf(c_0_32,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_19]) ).
thf(c_0_33,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_34,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_20]) ).
thf(c_0_35,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk4_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_37,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_23]) ).
thf(c_0_38,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_39,negated_conjecture,
( ( ( esk2_1 @ epred1_0 )
= c0 )
| ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ ( esk8_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_40,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_26]) ).
thf(c_0_41,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_42,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ x @ y @ y )
| ~ ( X1 @ ( esk1_1 @ X1 ) @ ( esk2_1 @ X1 ) @ ( esk3_1 @ X1 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_43,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk4_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_44,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_29]) ).
thf(c_0_45,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_46,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( cP @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_30]) ).
thf(c_0_47,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_48,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk10_1 @ epred1_0 )
= c0 )
| ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk18_1 @ epred1_0 ) ) )
| ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk13_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_49,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_33]) ).
thf(c_0_50,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_51,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk14_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk13_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_34]) ).
thf(c_0_52,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_35]) ).
thf(c_0_53,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_54,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_55,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ ( esk8_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_56,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_38]) ).
thf(c_0_57,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= c0 )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_58,negated_conjecture,
( ( ( esk1_1 @ epred1_0 )
= c0 )
| ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( esk3_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_59,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_41]) ).
thf(c_0_60,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ x @ y @ y )
| ~ ( X1 @ ( esk1_1 @ X1 ) @ ( esk2_1 @ X1 ) @ ( esk3_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_42]) ).
thf(c_0_61,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ ( esk8_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_62,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_45]) ).
thf(c_0_63,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_64,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( epred1_0 @ ( esk1_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk5_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk4_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_46]) ).
thf(c_0_65,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) @ ( esk9_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_47]) ).
thf(c_0_66,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_67,negated_conjecture,
( ( ( esk11_1 @ epred1_0 )
= c0 )
| ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) )
| ( epred1_0 @ w @ z @ z ) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
thf(c_0_68,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_50]) ).
thf(c_0_69,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_70,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ w @ z @ z )
| ~ ( X1 @ ( esk10_1 @ X1 ) @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_71,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk12_1 @ epred1_0 )
= ( esk10_1 @ epred1_0 ) )
| ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk18_1 @ epred1_0 ) ) )
| ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk13_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_72,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_53]) ).
thf(c_0_73,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_74,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_54]) ).
thf(c_0_75,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_76,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( esk3_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_77,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk1_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_57]) ).
thf(c_0_78,negated_conjecture,
( ( ( esk2_1 @ epred1_0 )
= c0 )
| ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
thf(c_0_79,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( esk3_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_80,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= c0 )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_63]) ).
thf(c_0_81,negated_conjecture,
! [X2: a,X3: a,X4: a] :
( ( epred1_0 @ X2 @ X3 @ X4 )
| ( X2 != c0 )
| ( X3 != X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_82,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk4_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
thf(c_0_83,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) @ ( esk8_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_66]) ).
thf(c_0_84,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_85,negated_conjecture,
( ( ( esk10_1 @ epred1_0 )
= c0 )
| ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( esk12_1 @ epred1_0 ) )
| ( epred1_0 @ w @ z @ z ) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
thf(c_0_86,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_69]) ).
thf(c_0_87,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ w @ z @ z )
| ~ ( X1 @ ( esk10_1 @ X1 ) @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_70]) ).
thf(c_0_88,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= ( esk10_1 @ epred1_0 ) )
| ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) )
| ( epred1_0 @ w @ z @ z ) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
thf(c_0_89,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_73]) ).
thf(c_0_90,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= c0 )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_91,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk14_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk13_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_74]) ).
thf(c_0_92,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_75]) ).
thf(c_0_93,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_94,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_60]) ).
thf(c_0_95,negated_conjecture,
( ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ c0 @ ( esk2_1 @ epred1_0 ) @ ( esk3_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_78]) ).
thf(c_0_96,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_60]) ).
thf(c_0_97,negated_conjecture,
! [X2: a] : ( epred1_0 @ c0 @ X2 @ X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_81])]) ).
thf(c_0_98,negated_conjecture,
! [X2: a,X3: a,X4: a] :
( ( epred1_0 @ X3 @ X2 @ X4 )
| ( X2 != c0 )
| ( X3 != X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_99,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ ( esk8_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_100,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( cP @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_84]) ).
thf(c_0_101,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( ( esk1_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( esk3_1 @ X1 ) )
| ( X1 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_102,negated_conjecture,
( ( ( esk11_1 @ epred1_0 )
= c0 )
| ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ w @ z @ z ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
thf(c_0_103,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= ( esk10_1 @ epred1_0 ) )
| ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( esk12_1 @ epred1_0 ) )
| ( epred1_0 @ w @ z @ z ) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
thf(c_0_104,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_90]) ).
thf(c_0_105,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk12_1 @ epred1_0 )
= ( esk11_1 @ epred1_0 ) )
| ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk18_1 @ epred1_0 ) ) )
| ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk13_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
thf(c_0_106,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_93]) ).
thf(c_0_107,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_108,negated_conjecture,
( ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( esk2_1 @ epred1_0 ) @ ( esk1_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_94]) ).
thf(c_0_109,negated_conjecture,
( ( ( esk2_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
thf(c_0_110,negated_conjecture,
! [X2: a] : ( epred1_0 @ X2 @ c0 @ X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_98])]) ).
thf(c_0_111,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ ( cP @ ( esk6_1 @ epred1_0 ) @ ( esk7_1 @ epred1_0 ) ) @ ( esk3_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
thf(c_0_112,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk3_1 @ X1 )
= ( esk1_1 @ X1 ) )
| ( ( esk3_1 @ X1 )
= ( esk2_1 @ X1 ) )
| ( ( esk2_1 @ X1 )
= ( cP @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) )
| ( X1 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_101]) ).
thf(c_0_113,negated_conjecture,
( ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ c0 @ ( esk12_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_102]) ).
thf(c_0_114,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= ( esk10_1 @ epred1_0 ) )
| ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ w @ z @ z ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_87]) ).
thf(c_0_115,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= ( esk11_1 @ epred1_0 ) )
| ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) )
| ( epred1_0 @ w @ z @ z ) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
thf(c_0_116,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_107]) ).
thf(c_0_117,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_118,negated_conjecture,
( ( ( esk1_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ x @ y @ y ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
thf(c_0_119,negated_conjecture,
( ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ ( esk1_1 @ epred1_0 ) @ c0 @ ( esk3_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_109]) ).
thf(c_0_120,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( ( esk3_1 @ epred1_0 )
= ( esk1_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_60]) ).
thf(c_0_121,negated_conjecture,
( ( ( esk10_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ w @ z @ z ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_110])]) ).
thf(c_0_122,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= ( esk11_1 @ epred1_0 ) )
| ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( esk12_1 @ epred1_0 ) )
| ( epred1_0 @ w @ z @ z ) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
thf(c_0_123,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= c0 )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_117]) ).
thf(c_0_124,negated_conjecture,
~ ( epred1_0 @ ( cP @ x @ w ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_125,negated_conjecture,
( ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ c0 @ ( esk2_1 @ epred1_0 ) @ ( esk3_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_118]) ).
thf(c_0_126,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= ( esk2_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_110])]) ).
thf(c_0_127,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_128,negated_conjecture,
( ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ c0 @ ( esk11_1 @ epred1_0 ) @ ( esk12_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_121]) ).
thf(c_0_129,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= ( esk11_1 @ epred1_0 ) )
| ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ w @ z @ z ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_87]) ).
thf(c_0_130,negated_conjecture,
( ~ ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_124,c_0_6]) ).
thf(c_0_131,negated_conjecture,
epred1_0 @ x @ y @ y,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_97])]) ).
thf(c_0_132,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( cP @ ( esk13_1 @ X1 ) @ ( esk14_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_127]) ).
thf(c_0_133,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_134,negated_conjecture,
( ( ( esk11_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ w @ z @ z ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_97])]) ).
thf(c_0_135,negated_conjecture,
~ ( epred1_0 @ w @ z @ z ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
thf(c_0_136,negated_conjecture,
! [X1: a > a > a > $o,X2: a,X3: a,X5: a,X4: a] :
( ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk10_1 @ X1 ) @ ( cP @ X2 @ X3 ) @ ( cP @ X4 @ X5 ) )
| ( X1 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk14_1 @ X1 ) @ X3 @ X5 )
| ~ ( epred1_0 @ ( esk13_1 @ X1 ) @ X2 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_132]) ).
thf(c_0_137,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk14_1 @ X1 ) @ ( esk16_1 @ X1 ) @ ( esk18_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_133]) ).
thf(c_0_138,negated_conjecture,
( ( esk11_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[c_0_134,c_0_135]) ).
thf(c_0_139,negated_conjecture,
( ( esk10_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[c_0_121,c_0_135]) ).
thf(c_0_140,negated_conjecture,
! [X1: a > a > a > $o] :
( ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_141,negated_conjecture,
! [X2: a,X3: a] :
( ( ( esk12_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ c0 @ ( cP @ X2 @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ X3 @ ( esk18_1 @ epred1_0 ) ) )
| ~ ( epred1_0 @ ( esk13_1 @ epred1_0 ) @ X2 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139]),c_0_139])]),c_0_135]) ).
thf(c_0_142,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ( X1 @ ( esk13_1 @ X1 ) @ ( esk15_1 @ X1 ) @ ( esk17_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_140]) ).
thf(c_0_143,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_144,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ c0 @ ( cP @ ( esk15_1 @ epred1_0 ) @ ( esk16_1 @ epred1_0 ) ) @ ( cP @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_139]),c_0_138])]),c_0_135]) ).
thf(c_0_145,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( cP @ ( esk15_1 @ X1 ) @ ( esk16_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_143]) ).
thf(c_0_146,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( ( esk10_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( ( esk11_1 @ X1 )
= ( esk12_1 @ X1 ) )
| ( X1 @ w @ z @ z )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_147,negated_conjecture,
( ( epred1_0 @ w @ z @ z )
| ~ ( epred1_0 @ ( esk10_1 @ epred1_0 ) @ c0 @ ( esk12_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_134]) ).
thf(c_0_148,negated_conjecture,
( ( ( esk12_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ c0 @ c0 @ ( cP @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_138]),c_0_139]),c_0_138])]),c_0_135]) ).
thf(c_0_149,negated_conjecture,
! [X1: a > a > a > $o] :
( ( ( esk12_1 @ X1 )
= ( esk10_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( esk11_1 @ X1 ) )
| ( ( esk12_1 @ X1 )
= ( cP @ ( esk17_1 @ X1 ) @ ( esk18_1 @ X1 ) ) )
| ( X1 @ w @ z @ z ) ),
inference(cn,[status(thm)],[c_0_146]) ).
thf(c_0_150,negated_conjecture,
~ ( epred1_0 @ c0 @ c0 @ ( esk12_1 @ epred1_0 ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_139]),c_0_135]) ).
thf(c_0_151,negated_conjecture,
( ( esk12_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_139]),c_0_138])]),c_0_150]),c_0_135]) ).
thf(c_0_152,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_110])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV208^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 15:23:52 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 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.KlMIAMdS09/E---3.1_1422193.p
% 0.19/0.30 % Version: 3.5.1-ho
% 0.19/0.30 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.30 % Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.30 % Starting post_as_ho12 with 300s (1) cores
% 0.19/0.30 % Starting new_ho_3 with 300s (1) cores
% 0.19/0.30 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.30 % post_as_ho1 with pid 1422206 completed with status 0
% 0.19/0.30 % Result found by post_as_ho1
% 0.19/0.30 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.30 % Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.30 % No SInE strategy applied
% 0.19/0.30 % Search class: HGUSF-FFMF21-SSSFFMBN
% 0.19/0.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.30 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.30 % Starting post_as_ho1 with 151s (1) cores
% 0.19/0.30 % Starting lpo8_s with 145s (1) cores
% 0.19/0.30 % Starting sh2lt with 145s (1) cores
% 0.19/0.30 % Starting full_lambda_9 with 145s (1) cores
% 0.19/0.30 % post_as_ho1 with pid 1422211 completed with status 0
% 0.19/0.30 % Result found by post_as_ho1
% 0.19/0.30 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.30 % Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.30 % No SInE strategy applied
% 0.19/0.30 % Search class: HGUSF-FFMF21-SSSFFMBN
% 0.19/0.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.30 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.30 % Starting post_as_ho1 with 151s (1) cores
% 0.19/0.30 % Preprocessing time : 0.001 s
% 0.19/0.30 % Presaturation interreduction done
% 0.19/0.30
% 0.19/0.30 % Proof found!
% 0.19/0.30 % SZS status Theorem
% 0.19/0.30 % SZS output start CNFRefutation
% See solution above
% 0.19/0.30 % Parsed axioms : 8
% 0.19/0.30 % Removed by relevancy pruning/SinE : 0
% 0.19/0.30 % Initial clauses : 54
% 0.19/0.30 % Removed in clause preprocessing : 8
% 0.19/0.30 % Initial clauses in saturation : 46
% 0.19/0.30 % Processed clauses : 547
% 0.19/0.30 % ...of these trivial : 9
% 0.19/0.30 % ...subsumed : 159
% 0.19/0.30 % ...remaining for further processing : 379
% 0.19/0.30 % Other redundant clauses eliminated : 7
% 0.19/0.30 % Clauses deleted for lack of memory : 0
% 0.19/0.30 % Backward-subsumed : 65
% 0.19/0.30 % Backward-rewritten : 19
% 0.19/0.30 % Generated clauses : 782
% 0.19/0.30 % ...of the previous two non-redundant : 772
% 0.19/0.30 % ...aggressively subsumed : 0
% 0.19/0.30 % Contextual simplify-reflections : 7
% 0.19/0.30 % Paramodulations : 772
% 0.19/0.30 % Factorizations : 1
% 0.19/0.30 % NegExts : 0
% 0.19/0.30 % Equation resolutions : 7
% 0.19/0.30 % Disequality decompositions : 0
% 0.19/0.30 % Total rewrite steps : 95
% 0.19/0.30 % ...of those cached : 86
% 0.19/0.30 % Propositional unsat checks : 0
% 0.19/0.30 % Propositional check models : 0
% 0.19/0.30 % Propositional check unsatisfiable : 0
% 0.19/0.30 % Propositional clauses : 0
% 0.19/0.30 % Propositional clauses after purity: 0
% 0.19/0.30 % Propositional unsat core size : 0
% 0.19/0.30 % Propositional preprocessing time : 0.000
% 0.19/0.30 % Propositional encoding time : 0.000
% 0.19/0.30 % Propositional solver time : 0.000
% 0.19/0.30 % Success case prop preproc time : 0.000
% 0.19/0.30 % Success case prop encoding time : 0.000
% 0.19/0.30 % Success case prop solver time : 0.000
% 0.19/0.30 % Current number of processed clauses : 240
% 0.19/0.30 % Positive orientable unit clauses : 6
% 0.19/0.30 % Positive unorientable unit clauses: 0
% 0.19/0.30 % Negative unit clauses : 2
% 0.19/0.30 % Non-unit-clauses : 232
% 0.19/0.30 % Current number of unprocessed clauses: 201
% 0.19/0.30 % ...number of literals in the above : 964
% 0.19/0.30 % Current number of archived formulas : 0
% 0.19/0.30 % Current number of archived clauses : 136
% 0.19/0.30 % Clause-clause subsumption calls (NU) : 4013
% 0.19/0.30 % Rec. Clause-clause subsumption calls : 259
% 0.19/0.30 % Non-unit clause-clause subsumptions : 227
% 0.19/0.30 % Unit Clause-clause subsumption calls : 317
% 0.19/0.30 % Rewrite failures with RHS unbound : 0
% 0.19/0.30 % BW rewrite match attempts : 4
% 0.19/0.30 % BW rewrite match successes : 4
% 0.19/0.30 % Condensation attempts : 0
% 0.19/0.30 % Condensation successes : 0
% 0.19/0.30 % Termbank termtop insertions : 35087
% 0.19/0.30 % Search garbage collected termcells : 880
% 0.19/0.30
% 0.19/0.30 % -------------------------------------------------
% 0.19/0.30 % User time : 0.034 s
% 0.19/0.30 % System time : 0.004 s
% 0.19/0.30 % Total time : 0.038 s
% 0.19/0.30 % Maximum resident set size: 3896 pages
% 0.19/0.30
% 0.19/0.30 % -------------------------------------------------
% 0.19/0.30 % User time : 0.142 s
% 0.19/0.30 % System time : 0.020 s
% 0.19/0.30 % Total time : 0.162 s
% 0.19/0.30 % Maximum resident set size: 4608 pages
% 0.19/0.30 % E exiting
%------------------------------------------------------------------------------