%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV206^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:35:12 AM UTC 2026
% Result : Theorem 36.90s 6.09s
% Output : CNFRefutation 36.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 1
% Syntax : Number of formulae : 67 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 352 ( 213 equ; 0 cnn)
% Maximal formula atoms : 92 ( 5 avg)
% Number of connectives : 1467 ( 91 ~; 248 |; 88 &;1013 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 118 ( 118 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 185 ( 6 ^; 143 !; 36 ?; 185 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
iS: $tType ).
thf(decl_23,type,
y: iS ).
thf(decl_24,type,
z: iS ).
thf(decl_25,type,
cP: iS > iS > iS ).
thf(decl_26,type,
x: iS ).
thf(decl_27,type,
c0: iS ).
thf(decl_28,type,
esk1_1: ( iS > $o ) > iS ).
thf(decl_29,type,
esk2_1: ( iS > $o ) > iS ).
thf(decl_30,type,
esk3_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_31,type,
esk4_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_32,type,
esk5_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_33,type,
esk6_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_34,type,
esk7_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_35,type,
esk8_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_36,type,
esk9_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_37,type,
esk10_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_38,type,
esk11_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_39,type,
epred1_0: iS > iS > iS > $o ).
thf(cS_INCL_LEM8_pme,conjecture,
( ( ! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 )
& ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ( ( X1 = X2 )
& ( X3 = X4 ) ) )
& ! [X5: iS > $o] :
( ( ( X5 @ c0 )
& ! [X1: iS,X2: iS] :
( ( ( X5 @ X1 )
& ( X5 @ X2 ) )
=> ( X5 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X1: iS] : ( X5 @ X1 ) ) )
=> ( ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ x @ y @ y ) )
=> ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ ( cP @ z @ x ) @ ( cP @ z @ y ) @ ( cP @ z @ y ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CB7KoH7Bb2/E---3.1_212959.p',cS_INCL_LEM8_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 )
& ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ( ( X1 = X2 )
& ( X3 = X4 ) ) )
& ! [X5: iS > $o] :
( ( ( X5 @ c0 )
& ! [X1: iS,X2: iS] :
( ( ( X5 @ X1 )
& ( X5 @ X2 ) )
=> ( X5 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X1: iS] : ( X5 @ X1 ) ) )
=> ( ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ x @ y @ y ) )
=> ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ ( cP @ z @ x ) @ ( cP @ z @ y ) @ ( cP @ z @ y ) ) ) ) ),
inference(assume_negation,[status(cth)],[cS_INCL_LEM8_pme]) ).
thf(c_0_2,negated_conjecture,
~ ( ( ! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 )
& ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ( ( X1 = X2 )
& ( X3 = X4 ) ) )
& ! [X5: iS > $o] :
( ( ( X5 @ c0 )
& ! [X1: iS,X2: iS] :
( ( ( X5 @ X1 )
& ( X5 @ X2 ) )
=> ( X5 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X1: iS] : ( X5 @ X1 ) ) )
=> ( ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ x @ y @ y ) )
=> ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ ( cP @ z @ x ) @ ( cP @ z @ y ) @ ( cP @ z @ y ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X46: iS,X47: iS,X48: iS,X49: iS,X50: iS,X51: iS,X52: iS > $o,X55: iS,X56: iS > iS > iS > $o,X67: iS,X68: iS,X69: iS,X70: iS,X71: iS,X72: iS,X73: iS,X74: iS,X75: iS] :
( ( ( cP @ X46 @ X47 )
!= c0 )
& ( ( X48 = X49 )
| ( ( cP @ X48 @ X50 )
!= ( cP @ X49 @ X51 ) ) )
& ( ( X50 = X51 )
| ( ( cP @ X48 @ X50 )
!= ( cP @ X49 @ X51 ) ) )
& ( ( X52 @ ( esk1_1 @ X52 ) )
| ~ ( X52 @ c0 )
| ( X52 @ X55 ) )
& ( ( X52 @ ( esk2_1 @ X52 ) )
| ~ ( X52 @ c0 )
| ( X52 @ X55 ) )
& ( ~ ( X52 @ ( cP @ ( esk1_1 @ X52 ) @ ( esk2_1 @ X52 ) ) )
| ~ ( X52 @ c0 )
| ( X52 @ X55 ) )
& ( ( ( esk3_1 @ X56 )
= ( cP @ ( esk6_1 @ X56 ) @ ( esk7_1 @ X56 ) ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk4_1 @ X56 )
= ( cP @ ( esk8_1 @ X56 ) @ ( esk9_1 @ X56 ) ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk5_1 @ X56 )
= ( cP @ ( esk10_1 @ X56 ) @ ( esk11_1 @ X56 ) ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk6_1 @ X56 ) @ ( esk8_1 @ X56 ) @ ( esk10_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk7_1 @ X56 ) @ ( esk9_1 @ X56 ) @ ( esk11_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X56 )
= ( cP @ ( esk6_1 @ X56 ) @ ( esk7_1 @ X56 ) ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk4_1 @ X56 )
= ( cP @ ( esk8_1 @ X56 ) @ ( esk9_1 @ X56 ) ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk5_1 @ X56 )
= ( cP @ ( esk10_1 @ X56 ) @ ( esk11_1 @ X56 ) ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk6_1 @ X56 ) @ ( esk8_1 @ X56 ) @ ( esk10_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk7_1 @ X56 ) @ ( esk9_1 @ X56 ) @ ( esk11_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= c0 )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X56 )
= ( cP @ ( esk6_1 @ X56 ) @ ( esk7_1 @ X56 ) ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk4_1 @ X56 )
= ( cP @ ( esk8_1 @ X56 ) @ ( esk9_1 @ X56 ) ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk5_1 @ X56 )
= ( cP @ ( esk10_1 @ X56 ) @ ( esk11_1 @ X56 ) ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk6_1 @ X56 ) @ ( esk8_1 @ X56 ) @ ( esk10_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk7_1 @ X56 ) @ ( esk9_1 @ X56 ) @ ( esk11_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= c0 )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk3_1 @ X56 )
= ( cP @ ( esk6_1 @ X56 ) @ ( esk7_1 @ X56 ) ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk4_1 @ X56 )
= ( cP @ ( esk8_1 @ X56 ) @ ( esk9_1 @ X56 ) ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( ( esk5_1 @ X56 )
= ( cP @ ( esk10_1 @ X56 ) @ ( esk11_1 @ X56 ) ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk6_1 @ X56 ) @ ( esk8_1 @ X56 ) @ ( esk10_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ( X56 @ ( esk7_1 @ X56 ) @ ( esk9_1 @ X56 ) @ ( esk11_1 @ X56 ) )
| ( ( esk3_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ( ( esk4_1 @ X56 )
= ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& ( ~ ( X56 @ ( esk3_1 @ X56 ) @ ( esk4_1 @ X56 ) @ ( esk5_1 @ X56 ) )
| ~ $true
| ( X56 @ x @ y @ y ) )
& $true
& ( ( X67 != c0 )
| ( X68 != X69 )
| ( epred1_0 @ X67 @ X68 @ X69 ) )
& ( ( X68 != c0 )
| ( X67 != X69 )
| ( epred1_0 @ X67 @ X68 @ X69 ) )
& ( ( X67
!= ( cP @ X70 @ X71 ) )
| ( X68
!= ( cP @ X72 @ X73 ) )
| ( X69
!= ( cP @ X74 @ X75 ) )
| ~ ( epred1_0 @ X70 @ X72 @ X74 )
| ~ ( epred1_0 @ X71 @ X73 @ X75 )
| ( epred1_0 @ X67 @ X68 @ X69 ) )
& ~ ( epred1_0 @ ( cP @ z @ x ) @ ( cP @ z @ y ) @ ( cP @ z @ y ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ x @ y @ y )
| ~ ( X6 @ ( esk3_1 @ X6 ) @ ( esk4_1 @ X6 ) @ ( esk5_1 @ X6 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk7_1 @ X6 ) @ ( esk9_1 @ X6 ) @ ( esk11_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: iS,X2: iS,X3: iS] :
( ( epred1_0 @ X1 @ X2 @ X3 )
| ( X1 != c0 )
| ( X2 != X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ x @ y @ y )
| ~ ( X6 @ ( esk3_1 @ X6 ) @ ( esk4_1 @ X6 ) @ ( esk5_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ( X6 @ ( esk7_1 @ X6 ) @ ( esk9_1 @ X6 ) @ ( esk11_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk7_1 @ X6 ) @ ( esk9_1 @ X6 ) @ ( esk11_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= ( esk5_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_10,negated_conjecture,
! [X7: iS,X1: iS,X2: iS,X4: iS,X3: iS,X9: iS,X8: iS,X10: iS,X11: iS] :
( ( epred1_0 @ X1 @ X4 @ X9 )
| ( X1
!= ( cP @ X2 @ X3 ) )
| ( X4
!= ( cP @ X7 @ X8 ) )
| ( X9
!= ( cP @ X10 @ X11 ) )
| ~ ( epred1_0 @ X2 @ X7 @ X10 )
| ~ ( epred1_0 @ X3 @ X8 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
! [X1: iS,X2: iS,X3: iS] :
( ( epred1_0 @ X2 @ X1 @ X3 )
| ( X1 != c0 )
| ( X2 != X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X1: iS,X5: iS > $o] :
( ( X5 @ ( esk1_1 @ X5 ) )
| ( X5 @ X1 )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
! [X1: iS] : ( epred1_0 @ c0 @ X1 @ X1 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
thf(c_0_14,negated_conjecture,
! [X1: iS,X5: iS > $o] :
( ( X5 @ ( esk2_1 @ X5 ) )
| ( X5 @ X1 )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_15,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ ( esk7_1 @ X6 ) @ ( esk9_1 @ X6 ) @ ( esk11_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ ( X6 @ c0 @ ( esk4_1 @ X6 ) @ ( esk5_1 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_16,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk5_1 @ X6 )
= ( esk4_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ( X6 @ ( esk7_1 @ X6 ) @ ( esk9_1 @ X6 ) @ ( esk11_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_9]) ).
thf(c_0_17,negated_conjecture,
~ ( epred1_0 @ ( cP @ z @ x ) @ ( cP @ z @ y ) @ ( cP @ z @ y ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X2: iS,X8: iS,X4: iS,X3: iS,X1: iS,X7: iS] :
( ( epred1_0 @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) @ ( cP @ X7 @ X8 ) )
| ~ ( epred1_0 @ X2 @ X4 @ X8 )
| ~ ( epred1_0 @ X1 @ X3 @ X7 ) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])])]) ).
thf(c_0_19,negated_conjecture,
! [X1: iS,X5: iS > $o] :
( ( X5 @ X1 )
| ~ ( X5 @ ( cP @ ( esk1_1 @ X5 ) @ ( esk2_1 @ X5 ) ) )
| ~ ( X5 @ c0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_20,negated_conjecture,
! [X1: iS] : ( epred1_0 @ X1 @ c0 @ X1 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]) ).
thf(c_0_21,negated_conjecture,
! [X1: iS] :
( ( epred1_0
@ ( esk1_1
@ ^ [Z0: iS] : ( epred1_0 @ Z0 @ Z0 @ Z0 ) )
@ ( esk1_1
@ ^ [Z0: iS] : ( epred1_0 @ Z0 @ Z0 @ Z0 ) )
@ ( esk1_1
@ ^ [Z0: iS] : ( epred1_0 @ Z0 @ Z0 @ Z0 ) ) )
| ( epred1_0 @ X1 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_22,negated_conjecture,
! [X1: iS] :
( ( epred1_0
@ ( esk2_1
@ ^ [Z0: iS] : ( epred1_0 @ Z0 @ Z0 @ Z0 ) )
@ ( esk2_1
@ ^ [Z0: iS] : ( epred1_0 @ Z0 @ Z0 @ Z0 ) )
@ ( esk2_1
@ ^ [Z0: iS] : ( epred1_0 @ Z0 @ Z0 @ Z0 ) ) )
| ( epred1_0 @ X1 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
thf(c_0_23,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk6_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk10_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_24,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk5_1 @ X6 )
= ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_25,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ ( esk7_1 @ X6 ) @ ( esk9_1 @ X6 ) @ ( esk11_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ ( X6 @ c0 @ ( esk4_1 @ X6 ) @ ( esk4_1 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_26,negated_conjecture,
( ~ ( epred1_0 @ x @ y @ y )
| ~ ( epred1_0 @ z @ z @ z ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_27,negated_conjecture,
! [X1: iS] : ( epred1_0 @ X1 @ X1 @ X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_20])]),c_0_21]),c_0_22]) ).
thf(c_0_28,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ( X6 @ ( esk6_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk10_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_23]) ).
thf(c_0_29,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk6_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk10_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= ( esk5_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_30,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk5_1 @ X6 )
= ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
| ( X6 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_24]) ).
thf(c_0_31,negated_conjecture,
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) @ ( esk11_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_25,c_0_13]) ).
thf(c_0_32,negated_conjecture,
~ ( epred1_0 @ x @ y @ y ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
thf(c_0_33,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ ( esk6_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk10_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ ( X6 @ c0 @ ( esk4_1 @ X6 ) @ ( esk5_1 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_28]) ).
thf(c_0_34,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk5_1 @ X6 )
= ( esk4_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ( X6 @ ( esk6_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk10_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_29]) ).
thf(c_0_35,negated_conjecture,
! [X1: iS,X4: iS,X3: iS,X2: iS,X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= c0 )
| ( epred1_0 @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) @ ( esk5_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ ( epred1_0 @ X2 @ X4 @ ( esk11_1 @ X6 ) )
| ~ ( epred1_0 @ X1 @ X3 @ ( esk10_1 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
thf(c_0_36,negated_conjecture,
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) @ ( esk11_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_37,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= ( cP @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_38,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ ( esk6_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk10_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ ( X6 @ c0 @ ( esk4_1 @ X6 ) @ ( esk4_1 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_39,negated_conjecture,
! [X1: iS,X2: iS] :
( ( ( esk3_1 @ epred1_0 )
= c0 )
| ( ( esk4_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( cP @ X1 @ ( esk7_1 @ epred1_0 ) ) @ ( cP @ X2 @ ( esk9_1 @ epred1_0 ) ) @ ( esk5_1 @ epred1_0 ) )
| ~ ( epred1_0 @ X1 @ X2 @ ( esk10_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_32]) ).
thf(c_0_40,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= ( cP @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) ) )
| ( X6 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_37]) ).
thf(c_0_41,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= ( cP @ ( esk6_1 @ X6 ) @ ( esk7_1 @ X6 ) ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_42,negated_conjecture,
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk6_1 @ epred1_0 ) @ ( esk8_1 @ epred1_0 ) @ ( esk10_1 @ epred1_0 ) )
| ( epred1_0 @ x @ y @ y ) ),
inference(spm,[status(thm)],[c_0_38,c_0_13]) ).
thf(c_0_43,negated_conjecture,
! [X1: iS] :
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ( ( esk3_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( cP @ X1 @ ( esk7_1 @ epred1_0 ) ) @ ( esk4_1 @ epred1_0 ) @ ( esk5_1 @ epred1_0 ) )
| ~ ( epred1_0 @ X1 @ ( esk8_1 @ epred1_0 ) @ ( esk10_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_32]) ).
thf(c_0_44,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk3_1 @ X6 )
= ( cP @ ( esk6_1 @ X6 ) @ ( esk7_1 @ X6 ) ) )
| ( X6 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_41]) ).
thf(c_0_45,negated_conjecture,
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk6_1 @ epred1_0 ) @ ( esk8_1 @ epred1_0 ) @ ( esk10_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[c_0_42,c_0_32]) ).
thf(c_0_46,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= ( cP @ ( esk6_1 @ X6 ) @ ( esk7_1 @ X6 ) ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk4_1 @ X6 )
= ( esk5_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_47,negated_conjecture,
( ( ( esk3_1 @ epred1_0 )
= c0 )
| ( ( esk4_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk3_1 @ epred1_0 ) @ ( esk4_1 @ epred1_0 ) @ ( esk5_1 @ epred1_0 ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32]),c_0_45]) ).
thf(c_0_48,negated_conjecture,
! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_49,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= c0 )
| ( ( esk5_1 @ X6 )
= ( esk4_1 @ X6 ) )
| ( ( esk3_1 @ X6 )
= ( cP @ ( esk6_1 @ X6 ) @ ( esk7_1 @ X6 ) ) )
| ( X6 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_46]) ).
thf(c_0_50,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk4_1 @ X6 )
= ( cP @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) ) )
| ( ( esk3_1 @ X6 )
= ( esk5_1 @ X6 ) )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_51,negated_conjecture,
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ( ( esk3_1 @ epred1_0 )
= c0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_47]),c_0_32]) ).
thf(c_0_52,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk5_1 @ X6 )
= ( esk4_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ( ( esk3_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
thf(c_0_53,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= c0 )
| ( ( esk5_1 @ X6 )
= ( esk3_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= ( cP @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) ) )
| ( X6 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_50]) ).
thf(c_0_54,negated_conjecture,
( ( ( esk4_1 @ epred1_0 )
= c0 )
| ~ ( epred1_0 @ c0 @ ( esk4_1 @ epred1_0 ) @ ( esk5_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_51]),c_0_32]) ).
thf(c_0_55,negated_conjecture,
( ( ( esk5_1 @ epred1_0 )
= ( esk4_1 @ epred1_0 ) )
| ( ( esk4_1 @ epred1_0 )
= c0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_32]) ).
thf(c_0_56,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk5_1 @ X6 )
= ( esk3_1 @ X6 ) )
| ( ( esk3_1 @ X6 )
= c0 )
| ( X6 @ x @ y @ y )
| ( ( esk4_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_53]) ).
thf(c_0_57,negated_conjecture,
( ( esk4_1 @ epred1_0 )
= c0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_13])]) ).
thf(c_0_58,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk3_1 @ X6 )
= ( cP @ ( esk6_1 @ X6 ) @ ( esk7_1 @ X6 ) ) )
| ( ( esk3_1 @ X6 )
= ( esk5_1 @ X6 ) )
| ( ( esk4_1 @ X6 )
= ( esk5_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_59,negated_conjecture,
( ( ( esk5_1 @ epred1_0 )
= ( esk3_1 @ epred1_0 ) )
| ( ( esk3_1 @ epred1_0 )
= c0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_32]) ).
thf(c_0_60,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk5_1 @ X6 )
= ( esk3_1 @ X6 ) )
| ( ( esk5_1 @ X6 )
= ( esk4_1 @ X6 ) )
| ( ( esk3_1 @ X6 )
= ( cP @ ( esk6_1 @ X6 ) @ ( esk7_1 @ X6 ) ) )
| ( X6 @ x @ y @ y ) ),
inference(cn,[status(thm)],[c_0_58]) ).
thf(c_0_61,negated_conjecture,
~ ( epred1_0 @ ( esk3_1 @ epred1_0 ) @ c0 @ ( esk5_1 @ epred1_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_57]),c_0_32]) ).
thf(c_0_62,negated_conjecture,
( ( esk3_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_59]),c_0_57]),c_0_20])]),c_0_32]) ).
thf(c_0_63,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk5_1 @ X6 )
= ( esk4_1 @ X6 ) )
| ( ( esk5_1 @ X6 )
= ( esk3_1 @ X6 ) )
| ( X6 @ x @ y @ y )
| ( ( esk3_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_60]) ).
thf(c_0_64,negated_conjecture,
~ ( epred1_0 @ c0 @ c0 @ ( esk5_1 @ epred1_0 ) ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_65,negated_conjecture,
( ( esk5_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_57])]),c_0_32]) ).
thf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV206^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n011.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 15:21:01 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.CB7KoH7Bb2/E---3.1_212959.p
% 36.90/6.09 % Version: 3.5.1-ho
% 36.90/6.09 % Preprocessing class: HSMSSMSSSSSNSSA.
% 36.90/6.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.90/6.09 % Starting post_as_ho1 with 1500s (5) cores
% 36.90/6.09 % Starting post_as_ho12 with 300s (1) cores
% 36.90/6.09 % Starting new_ho_3 with 300s (1) cores
% 36.90/6.09 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 36.90/6.09 % post_as_ho12 with pid 212973 completed with status 0
% 36.90/6.09 % Result found by post_as_ho12
% 36.90/6.09 % Preprocessing class: HSMSSMSSSSSNSSA.
% 36.90/6.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.90/6.09 % Starting post_as_ho1 with 1500s (5) cores
% 36.90/6.09 % Starting post_as_ho12 with 300s (1) cores
% 36.90/6.09 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 36.90/6.09 % No SInE strategy applied
% 36.90/6.09 % Search class: HGUSF-FFMF21-SSSFFMBN
% 36.90/6.09 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 36.90/6.09 % Starting SubtermCWHack with 28s (1) cores
% 36.90/6.09 % SubtermCWHack with pid 212978 completed with status 10
% 36.90/6.09 % Starting post_as_ho12 with 31s (1) cores
% 36.90/6.09 % post_as_ho12 with pid 212993 completed with status 0
% 36.90/6.09 % Result found by post_as_ho12
% 36.90/6.09 % Preprocessing class: HSMSSMSSSSSNSSA.
% 36.90/6.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.90/6.09 % Starting post_as_ho1 with 1500s (5) cores
% 36.90/6.09 % Starting post_as_ho12 with 300s (1) cores
% 36.90/6.09 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 36.90/6.09 % No SInE strategy applied
% 36.90/6.09 % Search class: HGUSF-FFMF21-SSSFFMBN
% 36.90/6.09 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 36.90/6.09 % Starting SubtermCWHack with 28s (1) cores
% 36.90/6.09 % SubtermCWHack with pid 212978 completed with status 10
% 36.90/6.09 % Starting post_as_ho12 with 31s (1) cores
% 36.90/6.09 % Preprocessing time : 0.002 s
% 36.90/6.09 % Presaturation interreduction done
% 36.90/6.09
% 36.90/6.09 % Proof found!
% 36.90/6.09 % SZS status Theorem
% 36.90/6.09 % SZS output start CNFRefutation
% See solution above
% 36.90/6.09 % Parsed axioms : 7
% 36.90/6.09 % Removed by relevancy pruning/SinE : 0
% 36.90/6.09 % Initial clauses : 38
% 36.90/6.09 % Removed in clause preprocessing : 7
% 36.90/6.09 % Initial clauses in saturation : 31
% 36.90/6.09 % Processed clauses : 656
% 36.90/6.09 % ...of these trivial : 0
% 36.90/6.09 % ...subsumed : 305
% 36.90/6.09 % ...remaining for further processing : 351
% 36.90/6.09 % Other redundant clauses eliminated : 59
% 36.90/6.09 % Clauses deleted for lack of memory : 0
% 36.90/6.09 % Backward-subsumed : 19
% 36.90/6.09 % Backward-rewritten : 34
% 36.90/6.09 % Generated clauses : 11558
% 36.90/6.09 % ...of the previous two non-redundant : 11037
% 36.90/6.09 % ...aggressively subsumed : 0
% 36.90/6.09 % Contextual simplify-reflections : 3
% 36.90/6.09 % Paramodulations : 11293
% 36.90/6.09 % Factorizations : 41
% 36.90/6.09 % NegExts : 0
% 36.90/6.09 % Equation resolutions : 149
% 36.90/6.09 % Disequality decompositions : 0
% 36.90/6.09 % Total rewrite steps : 284
% 36.90/6.09 % ...of those cached : 255
% 36.90/6.09 % Propositional unsat checks : 0
% 36.90/6.09 % Propositional check models : 0
% 36.90/6.09 % Propositional check unsatisfiable : 0
% 36.90/6.09 % Propositional clauses : 0
% 36.90/6.09 % Propositional clauses after purity: 0
% 36.90/6.09 % Propositional unsat core size : 0
% 36.90/6.09 % Propositional preprocessing time : 0.000
% 36.90/6.09 % Propositional encoding time : 0.000
% 36.90/6.09 % Propositional solver time : 0.000
% 36.90/6.09 % Success case prop preproc time : 0.000
% 36.90/6.09 % Success case prop encoding time : 0.000
% 36.90/6.09 % Success case prop solver time : 0.000
% 36.90/6.09 % Current number of processed clauses : 262
% 36.90/6.09 % Positive orientable unit clauses : 14
% 36.90/6.09 % Positive unorientable unit clauses: 0
% 36.90/6.09 % Negative unit clauses : 3
% 36.90/6.09 % Non-unit-clauses : 245
% 36.90/6.09 % Current number of unprocessed clauses: 10000
% 36.90/6.09 % ...number of literals in the above : 76015
% 36.90/6.09 % Current number of archived formulas : 0
% 36.90/6.09 % Current number of archived clauses : 86
% 36.90/6.09 % Clause-clause subsumption calls (NU) : 12128
% 36.90/6.09 % Rec. Clause-clause subsumption calls : 1348
% 36.90/6.09 % Non-unit clause-clause subsumptions : 303
% 36.90/6.09 % Unit Clause-clause subsumption calls : 745
% 36.90/6.09 % Rewrite failures with RHS unbound : 0
% 36.90/6.09 % BW rewrite match attempts : 35
% 36.90/6.09 % BW rewrite match successes : 15
% 36.90/6.09 % Condensation attempts : 0
% 36.90/6.09 % Condensation successes : 0
% 36.90/6.09 % Termbank termtop insertions : 6677071
% 36.90/6.09 % Search garbage collected termcells : 870
% 36.90/6.09
% 36.90/6.09 % -------------------------------------------------
% 36.90/6.09 % User time : 5.134 s
% 36.90/6.09 % System time : 0.038 s
% 36.90/6.09 % Total time : 5.172 s
% 36.90/6.09 % Maximum resident set size: 3648 pages
% 36.90/6.09
% 36.90/6.09 % -------------------------------------------------
% 36.90/6.09 % User time : 5.136 s
% 36.90/6.09 % System time : 0.041 s
% 36.90/6.09 % Total time : 5.176 s
% 36.90/6.09 % Maximum resident set size: 4864 pages
% 36.90/6.09 % E exiting
%------------------------------------------------------------------------------