TSTP Solution File: SYN036^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYN036^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 07:42:21 EDT 2024
% Result : Theorem 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 27
% Syntax : Number of formulae : 99 ( 5 unt; 26 typ; 0 def)
% Number of atoms : 1354 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1024 ( 18 avg)
% Number of connectives : 3464 ( 665 ~;1140 |; 127 &;1518 @)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 160 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 21 con; 0-1 aty)
% Number of variables : 202 ( 0 ^ 194 !; 8 ?; 202 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cQ: $i > $o ).
thf(decl_23,type,
cP: $i > $o ).
thf(decl_24,type,
esk1_1: $i > $i ).
thf(decl_25,type,
esk2_0: $i ).
thf(decl_26,type,
esk3_0: $i ).
thf(decl_27,type,
esk4_0: $i ).
thf(decl_28,type,
esk5_0: $i ).
thf(decl_29,type,
esk6_0: $i ).
thf(decl_30,type,
esk7_1: $i > $i ).
thf(decl_31,type,
esk8_0: $i ).
thf(decl_32,type,
esk9_0: $i ).
thf(decl_33,type,
esk10_0: $i ).
thf(decl_34,type,
esk11_0: $i ).
thf(decl_35,type,
esk12_0: $i ).
thf(decl_36,type,
esk13_1: $i > $i ).
thf(decl_37,type,
esk14_0: $i ).
thf(decl_38,type,
esk15_0: $i ).
thf(decl_39,type,
esk16_0: $i ).
thf(decl_40,type,
esk17_0: $i ).
thf(decl_41,type,
esk18_0: $i ).
thf(decl_42,type,
esk19_1: $i > $i ).
thf(decl_43,type,
esk20_0: $i ).
thf(decl_44,type,
esk21_0: $i ).
thf(decl_45,type,
esk22_0: $i ).
thf(decl_46,type,
esk23_0: $i ).
thf(decl_47,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/benchmark/theBenchmark.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,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_4,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_5,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_6,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk10_0 )
| ( cP @ X1 )
| ~ ( cP @ esk4_0 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ esk4_0 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_4]) ).
thf(c_0_8,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_5]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cQ @ esk10_0 )
| ( cP @ X1 )
| ~ ( cQ @ X2 )
| ~ ( cP @ X3 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7])]) ).
thf(c_0_10,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk10_0 )
| ~ ( cP @ esk2_0 )
| ~ ( cQ @ X1 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]) ).
thf(c_0_11,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_12,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_13,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk10_0 )
| ~ ( cQ @ X1 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9])]) ).
thf(c_0_14,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_11]) ).
thf(c_0_15,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_16,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ esk4_0 )
| ( cQ @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ( cQ @ esk10_0 )
| ~ ( cQ @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14])]),c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ X1 )
| ( cQ @ X2 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ esk4_0 ) ),
inference(condense,[status(thm)],[c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk24_0 )
| ( cP @ esk4_0 )
| ~ ( cP @ X1 )
| ~ ( cQ @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).
thf(c_0_20,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_21,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ esk24_0 )
| ( cP @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]) ).
thf(c_0_22,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_20]) ).
thf(c_0_23,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cQ @ esk24_0 )
| ( cP @ X1 )
| ~ ( cP @ X2 )
| ~ ( cQ @ X3 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
thf(c_0_24,negated_conjecture,
( ( cQ @ esk24_0 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ esk2_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23])]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X1 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23])]) ).
thf(c_0_26,negated_conjecture,
( ( cQ @ esk24_0 )
| ~ ( cQ @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14])]),c_0_25]) ).
thf(c_0_27,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_28,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_29,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ~ ( cQ @ X1 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
thf(c_0_30,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_27]) ).
thf(c_0_31,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_28]) ).
thf(c_0_32,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_33,negated_conjecture,
! [X1: $i] :
( ( cP @ esk18_0 )
| ( cQ @ esk24_0 )
| ~ ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30])]),c_0_29]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cP @ esk9_0 )
| ( cQ @ esk24_0 )
| ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31])]),c_0_29]) ).
thf(c_0_35,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_36,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_32]) ).
thf(c_0_37,negated_conjecture,
( ( cQ @ esk24_0 )
| ( cP @ esk18_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34])]),c_0_33]) ).
thf(c_0_38,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_39,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_35]) ).
thf(c_0_40,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk24_0 )
| ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29]),c_0_29]),c_0_29]) ).
thf(c_0_41,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_38]) ).
thf(c_0_42,negated_conjecture,
cQ @ esk24_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40])]),c_0_40]),c_0_29]),c_0_29]),c_0_29]) ).
thf(c_0_43,negated_conjecture,
! [X1: $i] :
( ( cP @ esk18_0 )
| ( cQ @ esk10_0 )
| ~ ( cP @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30])]),c_0_13]),c_0_13]) ).
thf(c_0_44,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_41,c_0_42])]) ).
thf(c_0_45,negated_conjecture,
( ( cQ @ esk10_0 )
| ( cP @ esk18_0 ) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44])]),c_0_43]) ).
thf(c_0_46,negated_conjecture,
! [X1: $i] :
( ( cQ @ esk10_0 )
| ~ ( cQ @ X1 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_45]) ).
thf(c_0_47,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cP @ esk4_0 )
| ( cQ @ X1 )
| ~ ( cP @ X2 )
| ~ ( cQ @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_46]) ).
thf(c_0_48,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cP @ X1 )
| ( cQ @ X2 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X3 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_47])]) ).
thf(c_0_49,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cQ @ X1 )
| ( cP @ X2 )
| ~ ( cP @ X3 )
| ~ ( cQ @ X4 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( cQ @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ esk2_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_49])]) ).
thf(c_0_51,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_52,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ X1 )
| ~ ( cQ @ esk10_0 )
| ~ ( cP @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49])]) ).
thf(c_0_53,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_51]) ).
thf(c_0_54,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_55,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( cQ @ X1 )
| ~ ( cP @ X2 )
| ~ ( cQ @ X3 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
thf(c_0_56,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_53,c_0_44])]),c_0_44]) ).
thf(c_0_57,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_58,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_54]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cQ @ X1 )
| ~ ( cQ @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56])]),c_0_55]),c_0_55]) ).
thf(c_0_60,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_61,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_57]) ).
thf(c_0_62,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ~ ( cQ @ esk8_0 )
| ~ ( cP @ X1 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47])]) ).
thf(c_0_63,negated_conjecture,
! [X1: $i] : ( cQ @ X1 ),
inference(spm,[status(thm)],[c_0_59,c_0_42]) ).
thf(c_0_64,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_60]) ).
thf(c_0_65,negated_conjecture,
! [X1: $i] :
( ( cP @ X1 )
| ~ ( cQ @ esk8_0 )
| ~ ( cP @ esk4_0 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_55])]) ).
thf(c_0_66,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ~ ( cP @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
thf(c_0_67,negated_conjecture,
! [X1: $i] :
( ~ ( cP @ ( esk1_1 @ X1 ) )
| ~ ( cQ @ esk8_0 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X1 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55])]) ).
thf(c_0_68,negated_conjecture,
! [X1: $i] :
( ( cP @ X1 )
| ~ ( cP @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_63])]) ).
thf(c_0_69,negated_conjecture,
cP @ esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_56])]),c_0_66]),c_0_66]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i] :
( ~ ( cP @ ( esk1_1 @ X1 ) )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_63])]) ).
thf(c_0_71,negated_conjecture,
! [X1: $i] : ( cP @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
thf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]),c_0_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN036^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 15:21:23 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.41 Running higher-order theorem proving
% 0.14/0.41 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/benchmark/theBenchmark.p
% 0.14/0.47 # Version: 3.1.0-ho
% 0.14/0.47 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.47 # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.47 # Starting sh4l with 300s (1) cores
% 0.14/0.47 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.14/0.47 # new_ho_10 with pid 13426 completed with status 0
% 0.14/0.47 # Result found by new_ho_10
% 0.14/0.47 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.47 # No SInE strategy applied
% 0.14/0.47 # Search class: HGHNF-FSLF11-SFFFFFNN
% 0.14/0.47 # partial match(1): FGHNF-FSLF11-SFFFFFNN
% 0.14/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 0.14/0.47 # Starting new_ho_10 with 151s (1) cores
% 0.14/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.14/0.47 # Starting new_bool_1 with 136s (1) cores
% 0.14/0.47 # Starting sh5l with 136s (1) cores
% 0.14/0.47 # sh5l with pid 13442 completed with status 0
% 0.14/0.47 # Result found by sh5l
% 0.14/0.47 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.47 # No SInE strategy applied
% 0.14/0.47 # Search class: HGHNF-FSLF11-SFFFFFNN
% 0.14/0.47 # partial match(1): FGHNF-FSLF11-SFFFFFNN
% 0.14/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 0.14/0.47 # Starting new_ho_10 with 151s (1) cores
% 0.14/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.14/0.47 # Starting new_bool_1 with 136s (1) cores
% 0.14/0.47 # Starting sh5l with 136s (1) cores
% 0.14/0.47 # Preprocessing time : 0.004 s
% 0.14/0.47 # Presaturation interreduction done
% 0.14/0.47
% 0.14/0.47 # Proof found!
% 0.14/0.47 # SZS status Theorem
% 0.14/0.47 # SZS output start CNFRefutation
% See solution above
% 0.14/0.47 # Parsed axioms : 3
% 0.14/0.47 # Removed by relevancy pruning/SinE : 0
% 0.14/0.47 # Initial clauses : 130
% 0.14/0.47 # Removed in clause preprocessing : 2
% 0.14/0.47 # Initial clauses in saturation : 128
% 0.14/0.47 # Processed clauses : 467
% 0.14/0.47 # ...of these trivial : 0
% 0.14/0.47 # ...subsumed : 180
% 0.14/0.47 # ...remaining for further processing : 287
% 0.14/0.47 # Other redundant clauses eliminated : 0
% 0.14/0.47 # Clauses deleted for lack of memory : 0
% 0.14/0.47 # Backward-subsumed : 181
% 0.14/0.47 # Backward-rewritten : 32
% 0.14/0.47 # Generated clauses : 928
% 0.14/0.47 # ...of the previous two non-redundant : 758
% 0.14/0.47 # ...aggressively subsumed : 0
% 0.14/0.47 # Contextual simplify-reflections : 96
% 0.14/0.47 # Paramodulations : 928
% 0.14/0.47 # Factorizations : 0
% 0.14/0.47 # NegExts : 0
% 0.14/0.47 # Equation resolutions : 0
% 0.14/0.47 # Disequality decompositions : 0
% 0.14/0.47 # Total rewrite steps : 39
% 0.14/0.47 # ...of those cached : 14
% 0.14/0.47 # Propositional unsat checks : 0
% 0.14/0.47 # Propositional check models : 0
% 0.14/0.47 # Propositional check unsatisfiable : 0
% 0.14/0.47 # Propositional clauses : 0
% 0.14/0.47 # Propositional clauses after purity: 0
% 0.14/0.47 # Propositional unsat core size : 0
% 0.14/0.47 # Propositional preprocessing time : 0.000
% 0.14/0.47 # Propositional encoding time : 0.000
% 0.14/0.47 # Propositional solver time : 0.000
% 0.14/0.47 # Success case prop preproc time : 0.000
% 0.14/0.47 # Success case prop encoding time : 0.000
% 0.14/0.47 # Success case prop solver time : 0.000
% 0.14/0.47 # Current number of processed clauses : 2
% 0.14/0.47 # Positive orientable unit clauses : 2
% 0.14/0.47 # Positive unorientable unit clauses: 0
% 0.14/0.47 # Negative unit clauses : 0
% 0.14/0.47 # Non-unit-clauses : 0
% 0.14/0.47 # Current number of unprocessed clauses: 26
% 0.14/0.47 # ...number of literals in the above : 141
% 0.14/0.47 # Current number of archived formulas : 0
% 0.14/0.47 # Current number of archived clauses : 285
% 0.14/0.47 # Clause-clause subsumption calls (NU) : 3769
% 0.14/0.47 # Rec. Clause-clause subsumption calls : 1261
% 0.14/0.47 # Non-unit clause-clause subsumptions : 980
% 0.14/0.47 # Unit Clause-clause subsumption calls : 41
% 0.14/0.47 # Rewrite failures with RHS unbound : 0
% 0.14/0.47 # BW rewrite match attempts : 25
% 0.14/0.47 # BW rewrite match successes : 25
% 0.14/0.47 # Condensation attempts : 467
% 0.14/0.47 # Condensation successes : 295
% 0.14/0.47 # Termbank termtop insertions : 73870
% 0.14/0.47 # Search garbage collected termcells : 1015
% 0.14/0.47
% 0.14/0.47 # -------------------------------------------------
% 0.14/0.47 # User time : 0.042 s
% 0.14/0.47 # System time : 0.003 s
% 0.14/0.47 # Total time : 0.045 s
% 0.14/0.47 # Maximum resident set size: 2192 pages
% 0.14/0.47
% 0.14/0.47 # -------------------------------------------------
% 0.14/0.47 # User time : 0.201 s
% 0.14/0.47 # System time : 0.011 s
% 0.14/0.47 # Total time : 0.212 s
% 0.14/0.47 # Maximum resident set size: 1696 pages
% 0.14/0.47 % E---3.1 exiting
% 0.14/0.47 % E exiting
%------------------------------------------------------------------------------