%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN036^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:40:46 AM UTC 2026
% Result : Theorem 0.50s 0.36s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 1
% Syntax : Number of formulae : 90 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 1450 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1024 ( 16 avg)
% Number of connectives : 3645 ( 654 ~;1219 |; 127 &;1631 @)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 161 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 21 con; 0-1 aty)
% Number of variables : 222 ( 0 ^; 214 !; 8 ?; 222 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cQ: $i > $o ).
thf(decl_24,type,
cP: $i > $o ).
thf(decl_25,type,
esk1_1: $i > $i ).
thf(decl_26,type,
esk2_0: $i ).
thf(decl_27,type,
esk3_0: $i ).
thf(decl_28,type,
esk4_0: $i ).
thf(decl_29,type,
esk5_0: $i ).
thf(decl_30,type,
esk6_0: $i ).
thf(decl_31,type,
esk7_1: $i > $i ).
thf(decl_32,type,
esk8_0: $i ).
thf(decl_33,type,
esk9_0: $i ).
thf(decl_34,type,
esk10_0: $i ).
thf(decl_35,type,
esk11_0: $i ).
thf(decl_36,type,
esk12_0: $i ).
thf(decl_37,type,
esk13_1: $i > $i ).
thf(decl_38,type,
esk14_0: $i ).
thf(decl_39,type,
esk15_0: $i ).
thf(decl_40,type,
esk16_0: $i ).
thf(decl_41,type,
esk17_0: $i ).
thf(decl_42,type,
esk18_0: $i ).
thf(decl_43,type,
esk19_1: $i > $i ).
thf(decl_44,type,
esk20_0: $i ).
thf(decl_45,type,
esk21_0: $i ).
thf(decl_46,type,
esk22_0: $i ).
thf(decl_47,type,
esk23_0: $i ).
thf(decl_48,type,
esk24_0: $i ).
thf(cX2129,conjecture,
( ( ? [X1: $i] :
! [X2: $i] :
( ( cP @ X1 )
<=> ( cP @ X2 ) )
<=> ( ? [X1: $i] : ( cQ @ X1 )
<=> ! [X2: $i] : ( cP @ X2 ) ) )
<=> ( ? [X1: $i] :
! [X2: $i] :
( ( cQ @ X1 )
<=> ( cQ @ X2 ) )
<=> ( ? [X1: $i] : ( cP @ X1 )
<=> ! [X2: $i] : ( cQ @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.seiglVwyD9/E---3.1_3351058.p',cX2129) ).
thf(c_0_1,negated_conjecture,
~ ( ( ? [X1: $i] :
! [X2: $i] :
( ( cP @ X1 )
<=> ( cP @ X2 ) )
<=> ( ? [X1: $i] : ( cQ @ X1 )
<=> ! [X2: $i] : ( cP @ X2 ) ) )
<=> ( ? [X1: $i] :
! [X2: $i] :
( ( cQ @ X1 )
<=> ( cQ @ X2 ) )
<=> ( ? [X1: $i] : ( cP @ X1 )
<=> ! [X2: $i] : ( cQ @ X2 ) ) ) ),
inference(assume_negation,[status(cth)],[cX2129]) ).
thf(c_0_2,negated_conjecture,
! [X11: $i,X13: $i,X16: $i,X18: $i,X19: $i,X20: $i,X23: $i,X25: $i,X28: $i,X30: $i,X31: $i,X32: $i,X35: $i,X37: $i,X38: $i,X41: $i,X44: $i,X46: $i,X47: $i,X49: $i,X50: $i,X53: $i,X56: $i,X58: $i] :
( ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ~ ( cP @ X11 )
| ~ ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X13 )
| ~ ( cP @ esk2_0 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ( cQ @ esk3_0 )
| ( cP @ X16 )
| ( cP @ X11 )
| ( cP @ ( esk1_1 @ X11 ) ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X18 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X19 )
| ( cP @ X20 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ~ ( cQ @ X23 )
| ~ ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X25 )
| ~ ( cQ @ esk8_0 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ( cP @ esk9_0 )
| ( cQ @ X28 )
| ( cQ @ X23 )
| ( cQ @ ( esk7_1 @ X23 ) )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ esk10_0 )
| ( cQ @ X30 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X31 )
| ( cQ @ X32 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cQ @ esk11_0 )
| ( cP @ esk12_0 )
| ~ ( cQ @ X30 )
| ( cQ @ esk10_0 )
| ~ ( cP @ esk5_0 )
| ( cQ @ esk6_0 )
| ~ ( cP @ X18 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ~ ( cP @ X35 )
| ~ ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cQ @ X37 )
| ( cP @ X38 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk14_0 )
| ( cQ @ esk15_0 )
| ( cP @ X35 )
| ( cP @ ( esk13_1 @ X35 ) ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ~ ( cQ @ X41 )
| ~ ( cP @ esk16_0 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ esk18_0 )
| ( cP @ X46 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ~ ( cQ @ X47 )
| ~ ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cP @ X49 )
| ( cQ @ X50 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk20_0 )
| ( cP @ esk21_0 )
| ( cQ @ X47 )
| ( cQ @ ( esk19_1 @ X47 ) )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X53 )
| ~ ( cQ @ esk22_0 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ esk24_0 )
| ( cQ @ X58 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) )
& ( ~ ( cQ @ X58 )
| ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X56 )
| ~ ( cP @ X46 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X44 ) ) ),
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,
! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
( ( cP @ esk9_0 )
| ( cQ @ X1 )
| ( cQ @ X2 )
| ( cQ @ ( esk7_1 @ X2 ) )
| ( cP @ X4 )
| ( cP @ X5 )
| ~ ( cQ @ X3 )
| ~ ( cP @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: $i,X5: $i,X4: $i,X2: $i,X1: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ( cQ @ esk3_0 )
| ( cP @ X4 )
| ( cP @ X5 )
| ( cP @ ( esk1_1 @ X5 ) )
| ~ ( cP @ X1 )
| ~ ( cQ @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cP @ esk9_0 )
| ( cQ @ X1 )
| ( cQ @ X2 )
| ( cQ @ ( esk7_1 @ X2 ) )
| ( cP @ X4 )
| ( cP @ esk4_0 )
| ~ ( cQ @ X3 )
| ~ ( cP @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ ( esk7_1 @ X1 ) )
| ( cP @ esk9_0 )
| ( cQ @ X1 )
| ~ ( cP @ esk4_0 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cP @ esk9_0 )
| ( cQ @ X1 )
| ( cQ @ X2 )
| ( cQ @ ( esk7_1 @ X2 ) )
| ( cQ @ esk3_0 )
| ( cP @ X3 )
| ( cP @ X4 )
| ( cP @ ( esk1_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
( ( cQ @ X2 )
| ( cQ @ esk10_0 )
| ( cQ @ esk3_0 )
| ( cP @ X4 )
| ( cP @ X5 )
| ( cP @ ( esk1_1 @ X5 ) )
| ~ ( cP @ X1 )
| ~ ( cQ @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cQ @ esk3_0 )
| ( cP @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_4]) ).
thf(c_0_10,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X4: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ( cQ @ ( esk19_1 @ X3 ) )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cP @ X5 )
| ~ ( cP @ X1 )
| ~ ( cP @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cQ @ ( esk7_1 @ X1 ) )
| ( cP @ esk9_0 )
| ( cQ @ X1 )
| ~ ( cQ @ X2 )
| ~ ( cP @ X3 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[c_0_5]),c_0_6]) ).
thf(c_0_12,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cQ @ ( esk7_1 @ X2 ) )
| ( cP @ esk9_0 )
| ( cQ @ esk3_0 )
| ( cP @ X1 )
| ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_7]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
( ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cQ @ X2 )
| ( cP @ X4 )
| ( cP @ X5 )
| ( cP @ ( esk13_1 @ X5 ) )
| ~ ( cQ @ X1 )
| ~ ( cQ @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cQ @ esk3_0 )
| ( cP @ X1 )
| ~ ( cQ @ X2 )
| ~ ( cP @ X3 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[c_0_8]),c_0_9]) ).
thf(c_0_15,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( cQ @ X2 )
| ( cQ @ esk10_0 )
| ( cP @ X5 )
| ( cP @ esk4_0 )
| ~ ( cP @ X1 )
| ~ ( cQ @ X3 )
| ~ ( cQ @ X4 )
| ~ ( cP @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cQ @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_10]) ).
thf(c_0_17,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ ( esk7_1 @ X1 ) )
| ( cQ @ esk3_0 )
| ( cP @ esk9_0 )
| ( cQ @ X1 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12])]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk23_0 )
| ( cQ @ esk24_0 )
| ( cP @ X1 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cP @ esk9_0 )
| ( cQ @ esk3_0 )
| ( cP @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12])]) ).
thf(c_0_20,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ esk4_0 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_15]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i] :
( ( cQ @ ( esk7_1 @ X1 ) )
| ( cP @ esk9_0 )
| ( cQ @ esk3_0 )
| ( cP @ esk18_0 )
| ( cQ @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12])]),c_0_17]),c_0_17]),c_0_17]) ).
thf(c_0_22,negated_conjecture,
! [X1: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cP @ esk9_0 )
| ( cQ @ esk3_0 )
| ( cQ @ esk24_0 )
| ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12])]),c_0_19]),c_0_19]),c_0_19]) ).
thf(c_0_23,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X4: $i,X5: $i,X6: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ( cP @ X5 )
| ( cP @ esk4_0 )
| ~ ( cP @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cQ @ X4 )
| ~ ( cP @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_24,negated_conjecture,
! [X1: $i] :
( ( cP @ esk18_0 )
| ( cP @ esk9_0 )
| ( cP @ esk4_0 )
| ( cQ @ esk10_0 )
| ~ ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]),c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk18_0 )
| ( cP @ esk9_0 )
| ( cP @ esk23_0 )
| ( cQ @ esk24_0 )
| ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_21])]),c_0_18]) ).
thf(c_0_26,negated_conjecture,
! [X1: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk24_0 )
| ( cQ @ esk3_0 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cQ @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22])]),c_0_16]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ esk4_0 )
| ( cQ @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_23]) ).
thf(c_0_28,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cQ @ esk10_0 )
| ( cP @ esk4_0 )
| ( cP @ esk9_0 )
| ( cP @ esk18_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25])]),c_0_24]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i] :
( ( cP @ esk18_0 )
| ( cP @ esk4_0 )
| ( cQ @ esk10_0 )
| ~ ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_26])]),c_0_20]),c_0_20]),c_0_20]) ).
thf(c_0_30,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cP @ esk23_0 )
| ( cP @ esk9_0 )
| ( cP @ esk18_0 )
| ( cP @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25])]),c_0_28]) ).
thf(c_0_31,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cQ @ esk10_0 )
| ( cP @ esk4_0 )
| ( cP @ esk18_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
thf(c_0_32,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X6: $i,X5: $i,X4: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ( cP @ X5 )
| ( cP @ X6 )
| ~ ( cP @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cQ @ X4 )
| ~ ( cP @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_33,negated_conjecture,
( ( cP @ esk18_0 )
| ( cP @ esk9_0 )
| ( cQ @ esk24_0 )
| ( cP @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30])]),c_0_31]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ X1 )
| ( cQ @ X2 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ esk4_0 ) ),
inference(condense,[status(thm)],[c_0_32]) ).
thf(c_0_35,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cP @ esk18_0 )
| ( cP @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_33])]),c_0_31]) ).
thf(c_0_36,negated_conjecture,
( ( cP @ esk18_0 )
| ( cQ @ esk24_0 )
| ~ ( cQ @ esk10_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35])]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X6: $i,X5: $i,X4: $i] :
( ( cQ @ X2 )
| ( cQ @ esk10_0 )
| ( cP @ X5 )
| ( cP @ X6 )
| ~ ( cP @ X1 )
| ~ ( cQ @ X3 )
| ~ ( cQ @ X4 )
| ~ ( cP @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_38,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ~ ( cP @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cQ @ X4 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X5 )
| ~ ( cP @ ( esk1_1 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_39,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cP @ esk4_0 )
| ~ ( cQ @ esk10_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36])]) ).
thf(c_0_40,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk10_0 )
| ( cP @ X1 )
| ~ ( cP @ esk4_0 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_37]) ).
thf(c_0_41,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ X1 )
| ~ ( cP @ ( esk1_1 @ X2 ) )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ( cP @ X1 )
| ~ ( cQ @ esk10_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39])]) ).
thf(c_0_43,negated_conjecture,
! [X3: $i,X5: $i,X4: $i,X2: $i,X1: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ( cQ @ ( esk19_1 @ X3 ) )
| ( cP @ X4 )
| ( cQ @ esk17_0 )
| ( cP @ X5 )
| ~ ( cP @ X1 )
| ~ ( cP @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_44,negated_conjecture,
! [X1: $i] :
( ( cP @ esk18_0 )
| ( cQ @ esk24_0 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X1 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_31])]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk24_0 )
| ( cP @ esk18_0 )
| ( cQ @ esk17_0 )
| ( cQ @ X1 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
thf(c_0_46,negated_conjecture,
( ( cQ @ esk24_0 )
| ~ ( cQ @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42])]),c_0_42]) ).
thf(c_0_47,negated_conjecture,
! [X2: $i,X1: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk17_0 )
| ( cP @ X2 )
| ( cQ @ X1 )
| ~ ( cP @ esk18_0 ) ),
inference(condense,[status(thm)],[c_0_43]) ).
thf(c_0_48,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cP @ esk18_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]),c_0_44]),c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X2: $i,X1: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk24_0 )
| ( cQ @ esk17_0 )
| ( cP @ X2 )
| ( cQ @ X1 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ( cQ @ esk10_0 )
| ~ ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_49])]),c_0_20]),c_0_20]) ).
thf(c_0_51,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cQ @ X2 )
| ( cQ @ esk10_0 )
| ~ ( cP @ X1 )
| ~ ( cQ @ X3 )
| ~ ( cQ @ X4 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X5 )
| ~ ( cP @ ( esk1_1 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_52,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cP @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_46]) ).
thf(c_0_53,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cQ @ X2 )
| ( cQ @ X3 )
| ( cQ @ ( esk19_1 @ X3 ) )
| ( cQ @ esk15_0 )
| ~ ( cP @ X1 )
| ~ ( cP @ esk14_0 )
| ~ ( cP @ X4 )
| ~ ( cP @ ( esk13_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_54,negated_conjecture,
! [X2: $i,X1: $i] :
( ( cQ @ esk10_0 )
| ~ ( cP @ ( esk1_1 @ X1 ) )
| ~ ( cP @ esk2_0 )
| ~ ( cQ @ X2 )
| ~ ( cP @ X1 ) ),
inference(condense,[status(thm)],[c_0_51]) ).
thf(c_0_55,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk24_0 )
| ( cP @ X1 )
| ~ ( cQ @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_46]) ).
thf(c_0_56,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk15_0 )
| ( cQ @ X1 )
| ~ ( cP @ ( esk13_1 @ X2 ) )
| ~ ( cP @ esk14_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_53]) ).
thf(c_0_57,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk17_0 )
| ( cQ @ esk24_0 )
| ( cQ @ X1 )
| ~ ( cQ @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49])]),c_0_55]),c_0_46]) ).
thf(c_0_58,negated_conjecture,
! [X1: $i] :
( ( cQ @ ( esk19_1 @ X1 ) )
| ( cQ @ esk17_0 )
| ( cQ @ esk24_0 )
| ( cQ @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49])]),c_0_49]),c_0_57]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58])]),c_0_55]) ).
thf(c_0_60,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
( ( cQ @ X1 )
| ( cP @ esk23_0 )
| ( cQ @ X2 )
| ( cP @ X4 )
| ( cP @ X5 )
| ( cP @ ( esk13_1 @ X5 ) )
| ~ ( cQ @ esk24_0 )
| ~ ( cQ @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ~ ( cQ @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_59])]),c_0_59]),c_0_46]) ).
thf(c_0_62,negated_conjecture,
! [X1: $i,X4: $i,X3: $i,X2: $i] :
( ( cP @ esk21_0 )
| ( cP @ X3 )
| ( cP @ X4 )
| ( cP @ ( esk13_1 @ X4 ) )
| ~ ( cQ @ esk20_0 )
| ~ ( cQ @ X1 )
| ~ ( cQ @ ( esk19_1 @ X1 ) )
| ~ ( cQ @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_63,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk23_0 )
| ( cP @ X1 )
| ( cQ @ X2 )
| ~ ( cQ @ esk24_0 ) ),
inference(condense,[status(thm)],[c_0_60]) ).
thf(c_0_64,negated_conjecture,
cQ @ esk24_0,
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_58])]),c_0_61]) ).
thf(c_0_65,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk21_0 )
| ( cP @ X1 )
| ~ ( cQ @ ( esk19_1 @ X2 ) )
| ~ ( cQ @ esk20_0 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_62]) ).
thf(c_0_66,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk23_0 )
| ( cP @ X1 )
| ( cQ @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
thf(c_0_67,negated_conjecture,
! [X1: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk23_0 )
| ( cP @ esk21_0 )
| ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66])]),c_0_66]) ).
thf(c_0_68,negated_conjecture,
( ( cQ @ esk10_0 )
| ( cP @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_67])]),c_0_50]),c_0_50]) ).
thf(c_0_69,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk10_0 )
| ( cP @ X1 )
| ~ ( cQ @ X2 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_68]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk10_0 )
| ( cP @ X1 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_64]) ).
thf(c_0_71,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk10_0 )
| ~ ( cQ @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_70])]),c_0_70]) ).
thf(c_0_72,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ( cQ @ X1 )
| ~ ( cQ @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_66])]),c_0_27]) ).
thf(c_0_73,negated_conjecture,
cQ @ esk10_0,
inference(spm,[status(thm)],[c_0_71,c_0_64]) ).
thf(c_0_74,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ( cQ @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
thf(c_0_75,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cP @ X4 )
| ( cP @ esk4_0 )
| ~ ( cP @ X1 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X2 )
| ~ ( cQ @ ( esk7_1 @ X2 ) )
| ~ ( cQ @ X3 )
| ~ ( cP @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_76,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ X1 )
| ( cQ @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_73])]),c_0_74]) ).
thf(c_0_77,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
( ( cP @ X4 )
| ( cP @ X5 )
| ~ ( cP @ X1 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X2 )
| ~ ( cQ @ ( esk7_1 @ X2 ) )
| ~ ( cQ @ X3 )
| ~ ( cP @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_78,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ esk4_0 )
| ~ ( cQ @ ( esk7_1 @ X1 ) )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_75]) ).
thf(c_0_79,negated_conjecture,
! [X1: $i] : ( cQ @ X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_73])]),c_0_76]),c_0_76]),c_0_76]) ).
thf(c_0_80,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP @ X1 )
| ~ ( cQ @ esk8_0 )
| ~ ( cQ @ X2 )
| ~ ( cQ @ ( esk7_1 @ X2 ) )
| ~ ( cQ @ X3 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X4 )
| ~ ( cP @ ( esk1_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_81,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ X1 )
| ~ ( cQ @ ( esk7_1 @ X2 ) )
| ~ ( cQ @ esk8_0 )
| ~ ( cP @ esk4_0 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_77]) ).
thf(c_0_82,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ~ ( cP @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_79]),c_0_79])]) ).
thf(c_0_83,negated_conjecture,
! [X1: $i] :
( ( cP @ ( esk13_1 @ X1 ) )
| ( cP @ esk21_0 )
| ( cP @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_79]),c_0_79]),c_0_79])]) ).
thf(c_0_84,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( cQ @ ( esk7_1 @ X1 ) )
| ~ ( cP @ ( esk1_1 @ X2 ) )
| ~ ( cQ @ esk8_0 )
| ~ ( cP @ esk2_0 )
| ~ ( cQ @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_80]) ).
thf(c_0_85,negated_conjecture,
! [X1: $i] :
( ( cP @ X1 )
| ~ ( cP @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_79]),c_0_79]),c_0_79])]) ).
thf(c_0_86,negated_conjecture,
cP @ esk4_0,
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83])]),c_0_82]) ).
thf(c_0_87,negated_conjecture,
! [X1: $i] :
( ~ ( cP @ ( esk1_1 @ X1 ) )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_79]),c_0_79]),c_0_79])]) ).
thf(c_0_88,negated_conjecture,
! [X1: $i] : ( cP @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
thf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88]),c_0_88]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN036^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n008.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 16:13:54 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.seiglVwyD9/E---3.1_3351058.p
% 0.50/0.36 % Version: 3.5.1-ho
% 0.50/0.36 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.50/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.36 % Starting new_ho_10 with 1500s (5) cores
% 0.50/0.36 % Starting ho_unfolding_6 with 300s (1) cores
% 0.50/0.36 % Starting sh4l with 300s (1) cores
% 0.50/0.36 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.50/0.36 % new_ho_10 with pid 3351071 completed with status 0
% 0.50/0.36 % Result found by new_ho_10
% 0.50/0.36 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.50/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.36 % Starting new_ho_10 with 1500s (5) cores
% 0.50/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.50/0.36 % No SInE strategy applied
% 0.50/0.36 % Search class: HGHNF-FSLF11-SFFFFFNN
% 0.50/0.36 % partial match(1): FGHNF-FSLF11-SFFFFFNN
% 0.50/0.36 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.36 % Starting SubtermCWHack with 136s (1) cores
% 0.50/0.36 % Starting new_ho_10 with 151s (1) cores
% 0.50/0.36 % Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.50/0.36 % Starting new_bool_3 with 136s (1) cores
% 0.50/0.36 % Starting new_bool_1 with 136s (1) cores
% 0.50/0.36 % new_ho_10 with pid 3351077 completed with status 0
% 0.50/0.36 % Result found by new_ho_10
% 0.50/0.36 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.50/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.36 % Starting new_ho_10 with 1500s (5) cores
% 0.50/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.50/0.36 % No SInE strategy applied
% 0.50/0.36 % Search class: HGHNF-FSLF11-SFFFFFNN
% 0.50/0.36 % partial match(1): FGHNF-FSLF11-SFFFFFNN
% 0.50/0.36 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.36 % Starting SubtermCWHack with 136s (1) cores
% 0.50/0.36 % Starting new_ho_10 with 151s (1) cores
% 0.50/0.36 % Preprocessing time : 0.004 s
% 0.50/0.36 % Presaturation interreduction done
% 0.50/0.36
% 0.50/0.36 % Proof found!
% 0.50/0.36 % SZS status Theorem
% 0.50/0.36 % SZS output start CNFRefutation
% See solution above
% 0.50/0.36 % Parsed axioms : 3
% 0.50/0.36 % Removed by relevancy pruning/SinE : 0
% 0.50/0.36 % Initial clauses : 130
% 0.50/0.36 % Removed in clause preprocessing : 2
% 0.50/0.36 % Initial clauses in saturation : 128
% 0.50/0.36 % Processed clauses : 999
% 0.50/0.36 % ...of these trivial : 1
% 0.50/0.36 % ...subsumed : 640
% 0.50/0.36 % ...remaining for further processing : 358
% 0.50/0.36 % Other redundant clauses eliminated : 0
% 0.50/0.36 % Clauses deleted for lack of memory : 0
% 0.50/0.36 % Backward-subsumed : 247
% 0.50/0.36 % Backward-rewritten : 36
% 0.50/0.36 % Generated clauses : 2113
% 0.50/0.36 % ...of the previous two non-redundant : 1678
% 0.50/0.36 % ...aggressively subsumed : 0
% 0.50/0.36 % Contextual simplify-reflections : 182
% 0.50/0.36 % Paramodulations : 2113
% 0.50/0.36 % Factorizations : 0
% 0.50/0.36 % NegExts : 0
% 0.50/0.36 % Equation resolutions : 0
% 0.50/0.36 % Disequality decompositions : 0
% 0.50/0.36 % Total rewrite steps : 57
% 0.50/0.36 % ...of those cached : 32
% 0.50/0.36 % Propositional unsat checks : 0
% 0.50/0.36 % Propositional check models : 0
% 0.50/0.36 % Propositional check unsatisfiable : 0
% 0.50/0.36 % Propositional clauses : 0
% 0.50/0.36 % Propositional clauses after purity: 0
% 0.50/0.36 % Propositional unsat core size : 0
% 0.50/0.36 % Propositional preprocessing time : 0.000
% 0.50/0.36 % Propositional encoding time : 0.000
% 0.50/0.36 % Propositional solver time : 0.000
% 0.50/0.36 % Success case prop preproc time : 0.000
% 0.50/0.36 % Success case prop encoding time : 0.000
% 0.50/0.36 % Success case prop solver time : 0.000
% 0.50/0.36 % Current number of processed clauses : 2
% 0.50/0.36 % Positive orientable unit clauses : 2
% 0.50/0.36 % Positive unorientable unit clauses: 0
% 0.50/0.36 % Negative unit clauses : 0
% 0.50/0.36 % Non-unit-clauses : 0
% 0.50/0.36 % Current number of unprocessed clauses: 89
% 0.50/0.36 % ...number of literals in the above : 474
% 0.50/0.36 % Current number of archived formulas : 0
% 0.50/0.36 % Current number of archived clauses : 356
% 0.50/0.36 % Clause-clause subsumption calls (NU) : 7528
% 0.50/0.36 % Rec. Clause-clause subsumption calls : 2290
% 0.50/0.36 % Non-unit clause-clause subsumptions : 2036
% 0.50/0.36 % Unit Clause-clause subsumption calls : 19
% 0.50/0.36 % Rewrite failures with RHS unbound : 0
% 0.50/0.36 % BW rewrite match attempts : 25
% 0.50/0.36 % BW rewrite match successes : 25
% 0.50/0.36 % Condensation attempts : 999
% 0.50/0.36 % Condensation successes : 685
% 0.50/0.36 % Termbank termtop insertions : 78037
% 0.50/0.36 % Search garbage collected termcells : 1015
% 0.50/0.36
% 0.50/0.36 % -------------------------------------------------
% 0.50/0.36 % User time : 0.114 s
% 0.50/0.36 % System time : 0.006 s
% 0.50/0.36 % Total time : 0.120 s
% 0.50/0.36 % Maximum resident set size: 3832 pages
% 0.50/0.36
% 0.50/0.36 % -------------------------------------------------
% 0.50/0.36 % User time : 0.392 s
% 0.50/0.36 % System time : 0.022 s
% 0.50/0.36 % Total time : 0.413 s
% 0.50/0.36 % Maximum resident set size: 4864 pages
% 0.50/0.36 % E exiting
%------------------------------------------------------------------------------