TSTP Solution File: SEU794^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU794^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 03:30:17 EDT 2024
% Result : Theorem 165.98s 21.38s
% Output : CNFRefutation 165.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 97 ( 13 unt; 15 typ; 0 def)
% Number of atoms : 332 ( 90 equ; 0 cnn)
% Maximal formula atoms : 66 ( 4 avg)
% Number of connectives : 1534 ( 123 ~; 199 |; 25 &;1162 @)
% ( 8 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 192 ( 3 ^ 179 !; 10 ?; 192 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
exu: ( $i > $o ) > $o ).
thf(decl_24,type,
subset: $i > $i > $o ).
thf(decl_25,type,
subsetI1: $o ).
thf(decl_26,type,
setextsub: $o ).
thf(decl_27,type,
image1Ex: $o ).
thf(decl_28,type,
esk1_2: $i > $i > $i ).
thf(decl_29,type,
esk2_2: $i > ( $i > $i ) > $i ).
thf(decl_30,type,
esk3_3: $i > ( $i > $i ) > $i > $i ).
thf(decl_31,type,
esk4_0: $i ).
thf(decl_32,type,
esk5_0: $i > $i ).
thf(decl_33,type,
esk6_1: $i > $i ).
thf(decl_34,type,
esk7_1: $i > $i ).
thf(decl_35,type,
esk8_1: $i > $i ).
thf(decl_36,type,
esk9_2: $i > $i > $i ).
thf(exu,axiom,
( exu
= ( ^ [X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).
thf(image1Ex1,conjecture,
( subsetI1
=> ( setextsub
=> ( image1Ex
=> ! [X4: $i,X6: $i > $i] :
( exu
@ ^ [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X2
= ( X6 @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image1Ex1) ).
thf(subsetI1,axiom,
( subsetI1
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ X5 ) )
=> ( subset @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1) ).
thf(setextsub,axiom,
( setextsub
<=> ! [X4: $i,X5: $i] :
( ( subset @ X4 @ X5 )
=> ( ( subset @ X5 @ X4 )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub) ).
thf(image1Ex,axiom,
( image1Ex
<=> ! [X4: $i,X6: $i > $i] :
? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X2
= ( X6 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image1Ex) ).
thf(c_0_5,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_6,negated_conjecture,
~ ( ! [X19: $i,X20: $i] :
( ! [X21: $i] :
( ( in @ X21 @ X19 )
=> ( in @ X21 @ X20 ) )
=> ( subset @ X19 @ X20 ) )
=> ( ! [X22: $i,X23: $i] :
( ( subset @ X22 @ X23 )
=> ( ( subset @ X23 @ X22 )
=> ( X22 = X23 ) ) )
=> ( ! [X24: $i,X25: $i > $i] :
? [X26: $i] :
! [X27: $i] :
( ( in @ X27 @ X26 )
<=> ? [X28: $i] :
( ( in @ X28 @ X24 )
& ( X27
= ( X25 @ X28 ) ) ) )
=> ! [X4: $i,X6: $i > $i] :
? [X29: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X29 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X2
= ( X6 @ X3 ) ) ) )
& ! [X30: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X30 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X2
= ( X6 @ X3 ) ) ) )
=> ( X29 = X30 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[image1Ex1])]),c_0_5]),subsetI1]),setextsub]),image1Ex]) ).
thf(c_0_7,negated_conjecture,
! [X31: $i,X32: $i,X34: $i,X35: $i,X36: $i,X37: $i > $i,X39: $i,X41: $i,X42: $i,X45: $i,X47: $i,X50: $i,X52: $i] :
( ( ( in @ ( esk1_2 @ X31 @ X32 ) @ X31 )
| ( subset @ X31 @ X32 ) )
& ( ~ ( in @ ( esk1_2 @ X31 @ X32 ) @ X32 )
| ( subset @ X31 @ X32 ) )
& ( ~ ( subset @ X34 @ X35 )
| ~ ( subset @ X35 @ X34 )
| ( X34 = X35 ) )
& ( ( in @ ( esk3_3 @ X36 @ X37 @ X39 ) @ X36 )
| ~ ( in @ X39 @ ( esk2_2 @ X36 @ X37 ) ) )
& ( ( X39
= ( X37 @ ( esk3_3 @ X36 @ X37 @ X39 ) ) )
| ~ ( in @ X39 @ ( esk2_2 @ X36 @ X37 ) ) )
& ( ~ ( in @ X42 @ X36 )
| ( X41
!= ( X37 @ X42 ) )
| ( in @ X41 @ ( esk2_2 @ X36 @ X37 ) ) )
& ( ( in @ ( esk9_2 @ X45 @ X50 ) @ esk4_0 )
| ~ ( in @ X50 @ ( esk8_1 @ X45 ) )
| ~ ( in @ ( esk6_1 @ X45 ) @ X45 )
| ~ ( in @ X47 @ esk4_0 )
| ( ( esk6_1 @ X45 )
!= ( esk5_0 @ X47 ) ) )
& ( ( X50
= ( esk5_0 @ ( esk9_2 @ X45 @ X50 ) ) )
| ~ ( in @ X50 @ ( esk8_1 @ X45 ) )
| ~ ( in @ ( esk6_1 @ X45 ) @ X45 )
| ~ ( in @ X47 @ esk4_0 )
| ( ( esk6_1 @ X45 )
!= ( esk5_0 @ X47 ) ) )
& ( ~ ( in @ X52 @ esk4_0 )
| ( X50
!= ( esk5_0 @ X52 ) )
| ( in @ X50 @ ( esk8_1 @ X45 ) )
| ~ ( in @ ( esk6_1 @ X45 ) @ X45 )
| ~ ( in @ X47 @ esk4_0 )
| ( ( esk6_1 @ X45 )
!= ( esk5_0 @ X47 ) ) )
& ( ( X45
!= ( esk8_1 @ X45 ) )
| ~ ( in @ ( esk6_1 @ X45 ) @ X45 )
| ~ ( in @ X47 @ esk4_0 )
| ( ( esk6_1 @ X45 )
!= ( esk5_0 @ X47 ) ) )
& ( ( in @ ( esk9_2 @ X45 @ X50 ) @ esk4_0 )
| ~ ( in @ X50 @ ( esk8_1 @ X45 ) )
| ( in @ ( esk7_1 @ X45 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ( X50
= ( esk5_0 @ ( esk9_2 @ X45 @ X50 ) ) )
| ~ ( in @ X50 @ ( esk8_1 @ X45 ) )
| ( in @ ( esk7_1 @ X45 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ~ ( in @ X52 @ esk4_0 )
| ( X50
!= ( esk5_0 @ X52 ) )
| ( in @ X50 @ ( esk8_1 @ X45 ) )
| ( in @ ( esk7_1 @ X45 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ( X45
!= ( esk8_1 @ X45 ) )
| ( in @ ( esk7_1 @ X45 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ( in @ ( esk9_2 @ X45 @ X50 ) @ esk4_0 )
| ~ ( in @ X50 @ ( esk8_1 @ X45 ) )
| ( ( esk6_1 @ X45 )
= ( esk5_0 @ ( esk7_1 @ X45 ) ) )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ( X50
= ( esk5_0 @ ( esk9_2 @ X45 @ X50 ) ) )
| ~ ( in @ X50 @ ( esk8_1 @ X45 ) )
| ( ( esk6_1 @ X45 )
= ( esk5_0 @ ( esk7_1 @ X45 ) ) )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ~ ( in @ X52 @ esk4_0 )
| ( X50
!= ( esk5_0 @ X52 ) )
| ( in @ X50 @ ( esk8_1 @ X45 ) )
| ( ( esk6_1 @ X45 )
= ( esk5_0 @ ( esk7_1 @ X45 ) ) )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) )
& ( ( X45
!= ( esk8_1 @ X45 ) )
| ( ( esk6_1 @ X45 )
= ( esk5_0 @ ( esk7_1 @ X45 ) ) )
| ( in @ ( esk6_1 @ X45 ) @ X45 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).
thf(c_0_8,negated_conjecture,
! [X4: $i,X3: $i,X2: $i] :
( ( in @ X3 @ ( esk8_1 @ X4 ) )
| ( in @ ( esk7_1 @ X4 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X4 ) @ X4 )
| ~ ( in @ X2 @ esk4_0 )
| ( X3
!= ( esk5_0 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X3: $i,X6: $i > $i,X4: $i,X2: $i] :
( ( in @ X4 @ ( esk2_2 @ X3 @ X6 ) )
| ~ ( in @ X2 @ X3 )
| ( X4
!= ( X6 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X2: $i,X3: $i,X6: $i > $i] :
( ( X2
= ( X6 @ ( esk3_3 @ X3 @ X6 @ X2 ) ) )
| ~ ( in @ X2 @ ( esk2_2 @ X3 @ X6 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X2: $i,X3: $i] :
( ( in @ ( esk1_2 @ X2 @ X3 ) @ X2 )
| ( subset @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
! [X3: $i,X2: $i] :
( ( in @ ( esk5_0 @ X2 ) @ ( esk8_1 @ X3 ) )
| ( in @ ( esk7_1 @ X3 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X2 @ esk4_0 ) ),
inference(er,[status(thm)],[c_0_8]) ).
thf(c_0_13,negated_conjecture,
! [X2: $i,X3: $i,X6: $i > $i] :
( ( in @ ( esk3_3 @ X2 @ X6 @ X3 ) @ X2 )
| ~ ( in @ X3 @ ( esk2_2 @ X2 @ X6 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_14,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( in @ ( X6 @ X2 ) @ ( esk2_2 @ X3 @ X6 ) )
| ~ ( in @ X2 @ X3 ) ),
inference(er,[status(thm)],[c_0_9]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i,X2: $i] :
( ( in @ ( esk9_2 @ X2 @ X3 ) @ esk4_0 )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_16,negated_conjecture,
! [X4: $i,X3: $i,X2: $i] :
( ( in @ X3 @ ( esk8_1 @ X4 ) )
| ( ( esk6_1 @ X4 )
= ( esk5_0 @ ( esk7_1 @ X4 ) ) )
| ( in @ ( esk6_1 @ X4 ) @ X4 )
| ~ ( in @ X2 @ esk4_0 )
| ( X3
!= ( esk5_0 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_17,negated_conjecture,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ~ ( in @ ( esk1_2 @ X2 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_18,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( ( esk1_2 @ ( esk2_2 @ X2 @ X6 ) @ X3 )
= ( X6 @ ( esk3_3 @ X2 @ X6 @ ( esk1_2 @ ( esk2_2 @ X2 @ X6 ) @ X3 ) ) ) )
| ( subset @ ( esk2_2 @ X2 @ X6 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_19,negated_conjecture,
! [X2: $i,X3: $i,X6: $i > $i] :
( ( in @ ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ X2 ) ) @ ( esk8_1 @ X3 ) )
| ( in @ ( esk7_1 @ X3 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X2 @ ( esk2_2 @ esk4_0 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_20,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( in @ ( X6 @ ( esk9_2 @ X2 @ X3 ) ) @ ( esk2_2 @ esk4_0 @ X6 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,negated_conjecture,
! [X2: $i,X3: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( esk5_0 @ X3 ) @ ( esk8_1 @ X2 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ esk4_0 ) ),
inference(er,[status(thm)],[c_0_16]) ).
thf(c_0_22,negated_conjecture,
! [X3: $i,X2: $i] :
( ( in @ ( esk9_2 @ X2 @ X3 ) @ esk4_0 )
| ( ( esk6_1 @ X2 )
= ( esk5_0 @ ( esk7_1 @ X2 ) ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_23,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( subset @ ( esk2_2 @ X2 @ X6 ) @ X3 )
| ~ ( in @ ( X6 @ ( esk3_3 @ X2 @ X6 @ ( esk1_2 @ ( esk2_2 @ X2 @ X6 ) @ X3 ) ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_24,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( in @ ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ ( esk1_2 @ ( esk2_2 @ esk4_0 @ X6 ) @ X2 ) ) ) @ ( esk8_1 @ X3 ) )
| ( subset @ ( esk2_2 @ esk4_0 @ X6 ) @ X2 )
| ( in @ ( esk7_1 @ X3 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X3 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
thf(c_0_25,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( in @ ( X6 @ ( esk9_2 @ X2 @ ( esk1_2 @ ( esk8_1 @ X2 ) @ X3 ) ) ) @ ( esk2_2 @ esk4_0 @ X6 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( subset @ ( esk8_1 @ X2 ) @ X3 )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
thf(c_0_26,negated_conjecture,
! [X2: $i,X3: $i] :
( ( X2
= ( esk5_0 @ ( esk9_2 @ X3 @ X2 ) ) )
| ( in @ ( esk7_1 @ X3 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X2 @ ( esk8_1 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_27,negated_conjecture,
! [X2: $i,X3: $i,X6: $i > $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ X3 ) ) @ ( esk8_1 @ X2 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ ( esk2_2 @ esk4_0 @ X6 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
thf(c_0_28,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( X6 @ ( esk9_2 @ X2 @ X3 ) ) @ ( esk2_2 @ esk4_0 @ X6 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i,X2: $i] :
( ( X2 = X3 )
| ~ ( subset @ X2 @ X3 )
| ~ ( subset @ X3 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_30,negated_conjecture,
! [X2: $i] :
( ( subset @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk8_1 @ X2 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_31,negated_conjecture,
! [X2: $i,X3: $i] :
( ( in @ ( esk1_2 @ ( esk8_1 @ X2 ) @ X3 ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ( subset @ ( esk8_1 @ X2 ) @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_11]) ).
thf(c_0_32,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ ( esk1_2 @ ( esk2_2 @ esk4_0 @ X6 ) @ X3 ) ) ) @ ( esk8_1 @ X2 ) )
| ( subset @ ( esk2_2 @ esk4_0 @ X6 ) @ X3 )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
thf(c_0_33,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( X6 @ ( esk9_2 @ X2 @ ( esk1_2 @ ( esk8_1 @ X2 ) @ X3 ) ) ) @ ( esk2_2 @ esk4_0 @ X6 ) )
| ( subset @ ( esk8_1 @ X2 ) @ X3 )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
thf(c_0_34,negated_conjecture,
! [X2: $i,X3: $i] :
( ( X2
= ( esk5_0 @ ( esk9_2 @ X3 @ X2 ) ) )
| ( ( esk6_1 @ X3 )
= ( esk5_0 @ ( esk7_1 @ X3 ) ) )
| ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X2 @ ( esk8_1 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_35,negated_conjecture,
! [X2: $i] :
( ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ( X2
!= ( esk8_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_36,negated_conjecture,
! [X2: $i] :
( ( ( esk8_1 @ X2 )
= ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( subset @ ( esk8_1 @ X2 ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_37,negated_conjecture,
! [X2: $i] :
( ( subset @ ( esk8_1 @ X2 ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
thf(c_0_38,negated_conjecture,
! [X2: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( subset @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk8_1 @ X2 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
thf(c_0_39,negated_conjecture,
! [X2: $i,X3: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( esk1_2 @ ( esk8_1 @ X2 ) @ X3 ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ( subset @ ( esk8_1 @ X2 ) @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_11]) ).
thf(c_0_40,negated_conjecture,
! [X6: $i > $i,X2: $i] :
( ( in @ ( X6 @ ( esk7_1 @ X2 ) ) @ ( esk2_2 @ esk4_0 @ X6 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ( ( esk8_1 @ X2 )
!= X2 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
thf(c_0_41,negated_conjecture,
! [X2: $i] :
( ( ( esk8_1 @ X2 )
= ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( esk7_1 @ X2 ) @ esk4_0 )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_42,negated_conjecture,
! [X2: $i] :
( ( ( esk8_1 @ X2 )
= ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( subset @ ( esk8_1 @ X2 ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
thf(c_0_43,negated_conjecture,
! [X2: $i] :
( ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( subset @ ( esk8_1 @ X2 ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_39]) ).
thf(c_0_44,negated_conjecture,
! [X6: $i > $i] :
( ( in @ ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( in @ ( X6 @ ( esk7_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) @ ( esk2_2 @ esk4_0 @ X6 ) ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41])]),c_0_14]) ).
thf(c_0_45,negated_conjecture,
! [X2: $i] :
( ( ( esk6_1 @ X2 )
= ( esk5_0 @ ( esk7_1 @ X2 ) ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 )
| ( X2
!= ( esk8_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_46,negated_conjecture,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( in @ X3 @ ( esk8_1 @ X4 ) )
| ~ ( in @ X2 @ esk4_0 )
| ( X3
!= ( esk5_0 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X4 ) @ X4 )
| ~ ( in @ X5 @ esk4_0 )
| ( ( esk6_1 @ X4 )
!= ( esk5_0 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_47,negated_conjecture,
! [X2: $i] :
( ( ( esk8_1 @ X2 )
= ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( ( esk5_0 @ ( esk7_1 @ X2 ) )
= ( esk6_1 @ X2 ) )
| ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_48,negated_conjecture,
( ( in @ ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ( ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
!= ( esk2_2 @ esk4_0 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_49,negated_conjecture,
! [X4: $i,X3: $i,X2: $i] :
( ( in @ ( esk5_0 @ X2 ) @ ( esk8_1 @ X3 ) )
| ( ( esk6_1 @ X3 )
!= ( esk5_0 @ X4 ) )
| ~ ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X4 @ esk4_0 )
| ~ ( in @ X2 @ esk4_0 ) ),
inference(er,[status(thm)],[c_0_46]) ).
thf(c_0_50,negated_conjecture,
in @ ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_47]),c_0_48]) ).
thf(c_0_51,negated_conjecture,
! [X6: $i > $i,X4: $i,X3: $i,X2: $i] :
( ( in @ ( esk5_0 @ X2 ) @ ( esk8_1 @ X3 ) )
| ( ( esk6_1 @ X3 )
!= ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ X4 ) ) )
| ~ ( in @ X4 @ ( esk2_2 @ esk4_0 @ X6 ) )
| ~ ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_13]) ).
thf(c_0_52,negated_conjecture,
( ( esk5_0 @ ( esk3_3 @ esk4_0 @ esk5_0 @ ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) )
= ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X3: $i,X2: $i] :
( ( in @ ( esk5_0 @ X2 ) @ ( esk8_1 @ X3 ) )
| ( ( esk6_1 @ X3 )
!= ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
| ~ ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_50])]) ).
thf(c_0_54,negated_conjecture,
! [X2: $i,X3: $i] :
( ( X2
!= ( esk8_1 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X3 @ esk4_0 )
| ( ( esk6_1 @ X2 )
!= ( esk5_0 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_55,negated_conjecture,
! [X2: $i,X3: $i,X4: $i] :
( ( in @ ( esk9_2 @ X2 @ X3 ) @ esk4_0 )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 )
| ~ ( in @ X4 @ esk4_0 )
| ( ( esk6_1 @ X2 )
!= ( esk5_0 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_56,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( in @ ( X6 @ ( esk1_2 @ X2 @ X3 ) ) @ ( esk2_2 @ X2 @ X6 ) )
| ( subset @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
thf(c_0_57,negated_conjecture,
! [X2: $i] :
( ( in @ ( esk5_0 @ X2 ) @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
| ~ ( in @ X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_53]),c_0_50])]) ).
thf(c_0_58,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( ( esk6_1 @ X2 )
!= ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ X3 ) ) )
| ( ( esk8_1 @ X2 )
!= X2 )
| ~ ( in @ X3 @ ( esk2_2 @ esk4_0 @ X6 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_13]) ).
thf(c_0_59,negated_conjecture,
! [X6: $i > $i,X4: $i,X3: $i,X2: $i] :
( ( in @ ( esk9_2 @ X2 @ X3 ) @ esk4_0 )
| ( ( esk6_1 @ X2 )
!= ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ X4 ) ) )
| ~ ( in @ X4 @ ( esk2_2 @ esk4_0 @ X6 ) )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_13]) ).
thf(c_0_60,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( ( X6 @ ( esk1_2 @ X2 @ X3 ) )
= ( X6 @ ( esk3_3 @ X2 @ X6 @ ( X6 @ ( esk1_2 @ X2 @ X3 ) ) ) ) )
| ( subset @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_56]) ).
thf(c_0_61,negated_conjecture,
! [X2: $i] :
( ( subset @ ( esk2_2 @ X2 @ esk5_0 ) @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
| ~ ( in @ ( esk3_3 @ X2 @ esk5_0 @ ( esk1_2 @ ( esk2_2 @ X2 @ esk5_0 ) @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
thf(c_0_62,negated_conjecture,
! [X2: $i] :
( ( ( esk6_1 @ X2 )
!= ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
| ( ( esk8_1 @ X2 )
!= X2 )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_52]),c_0_50])]) ).
thf(c_0_63,negated_conjecture,
! [X3: $i,X2: $i] :
( ( in @ ( esk9_2 @ X2 @ X3 ) @ esk4_0 )
| ( ( esk6_1 @ X2 )
!= ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_52]),c_0_50])]) ).
thf(c_0_64,negated_conjecture,
! [X6: $i > $i,X3: $i,X2: $i] :
( ( ( X6 @ ( esk1_2 @ X2 @ X3 ) )
= ( X6 @ ( esk3_3 @ X2 @ X6 @ ( X6 @ ( esk1_2 @ X2 @ X3 ) ) ) ) )
| ( X3 = X2 )
| ~ ( subset @ X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_60]) ).
thf(c_0_65,negated_conjecture,
subset @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_13]),c_0_11]) ).
thf(c_0_66,negated_conjecture,
( ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
!= ( esk2_2 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_50])]) ).
thf(c_0_67,negated_conjecture,
! [X2: $i] :
( ( in @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ X2 ) @ esk4_0 )
| ~ ( in @ X2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_63]),c_0_50])]) ).
thf(c_0_68,negated_conjecture,
! [X6: $i > $i] :
( ( X6 @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
= ( X6 @ ( esk3_3 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ X6 @ ( X6 @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
thf(c_0_69,negated_conjecture,
! [X2: $i,X6: $i > $i,X3: $i] :
( ( X2 = X3 )
| ( in @ ( X6 @ ( esk1_2 @ X3 @ X2 ) ) @ ( esk2_2 @ X3 @ X6 ) )
| ~ ( subset @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_56]) ).
thf(c_0_70,negated_conjecture,
! [X2: $i,X3: $i,X4: $i] :
( ( X2
= ( esk5_0 @ ( esk9_2 @ X3 @ X2 ) ) )
| ~ ( in @ X2 @ ( esk8_1 @ X3 ) )
| ~ ( in @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( in @ X4 @ esk4_0 )
| ( ( esk6_1 @ X3 )
!= ( esk5_0 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_71,negated_conjecture,
( ( in @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk3_3 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ) @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
thf(c_0_72,negated_conjecture,
! [X6: $i > $i] : ( in @ ( X6 @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) @ ( esk2_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ X6 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_65]),c_0_66]) ).
thf(c_0_73,negated_conjecture,
! [X6: $i > $i,X4: $i,X3: $i,X2: $i] :
( ( ( esk5_0 @ ( esk9_2 @ X2 @ X3 ) )
= X3 )
| ( ( esk6_1 @ X2 )
!= ( esk5_0 @ ( esk3_3 @ esk4_0 @ X6 @ X4 ) ) )
| ~ ( in @ X4 @ ( esk2_2 @ esk4_0 @ X6 ) )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_13]) ).
thf(c_0_74,negated_conjecture,
in @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_13]),c_0_72])]) ).
thf(c_0_75,negated_conjecture,
! [X3: $i,X2: $i] :
( ( ( esk5_0 @ ( esk9_2 @ X2 @ X3 ) )
= X3 )
| ( ( esk6_1 @ X2 )
!= ( esk6_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) )
| ~ ( in @ X3 @ ( esk8_1 @ X2 ) )
| ~ ( in @ ( esk6_1 @ X2 ) @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_52]),c_0_50])]) ).
thf(c_0_76,negated_conjecture,
! [X6: $i > $i] : ( in @ ( X6 @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ) @ ( esk2_2 @ esk4_0 @ X6 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_74]) ).
thf(c_0_77,negated_conjecture,
! [X2: $i] :
( ( ( esk5_0 @ ( esk9_2 @ ( esk2_2 @ esk4_0 @ esk5_0 ) @ X2 ) )
= X2 )
| ~ ( in @ X2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_75]),c_0_50])]) ).
thf(c_0_78,negated_conjecture,
( ( in @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) )
| ~ ( in @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
thf(c_0_79,negated_conjecture,
~ ( subset @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_65]),c_0_66]) ).
thf(c_0_80,negated_conjecture,
in @ ( esk1_2 @ ( esk8_1 @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ) ) @ ( esk2_2 @ esk4_0 @ esk5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_11]),c_0_79]) ).
thf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_80]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU794^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 15:50:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 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
% 165.98/21.38 # Version: 3.1.0-ho
% 165.98/21.38 # partial match(1): HSSSSMSSSLSNHSA
% 165.98/21.38 # Preprocessing class: HSSSSLSSSLSNHSA.
% 165.98/21.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 165.98/21.38 # Starting post_as_ho12 with 1500s (5) cores
% 165.98/21.38 # Starting post_as_ho4 with 300s (1) cores
% 165.98/21.38 # Starting lpo8_s with 300s (1) cores
% 165.98/21.38 # Starting sh5l with 300s (1) cores
% 165.98/21.38 # post_as_ho12 with pid 25007 completed with status 0
% 165.98/21.38 # Result found by post_as_ho12
% 165.98/21.38 # partial match(1): HSSSSMSSSLSNHSA
% 165.98/21.38 # Preprocessing class: HSSSSLSSSLSNHSA.
% 165.98/21.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 165.98/21.38 # Starting post_as_ho12 with 1500s (5) cores
% 165.98/21.38 # No SInE strategy applied
% 165.98/21.38 # Search class: HGHSF-FFMF31-SHSFMSNN
% 165.98/21.38 # partial match(3): HGHPF-FFMF11-SHSFMFNN
% 165.98/21.38 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 165.98/21.38 # Starting new_ho_10 with 811s (1) cores
% 165.98/21.38 # Starting post_as_ho12 with 151s (1) cores
% 165.98/21.38 # Starting new_bool_1 with 136s (1) cores
% 165.98/21.38 # Starting lpo1_def_fix with 136s (1) cores
% 165.98/21.38 # Starting ehoh_best8_lambda with 136s (1) cores
% 165.98/21.38 # lpo1_def_fix with pid 25017 completed with status 0
% 165.98/21.38 # Result found by lpo1_def_fix
% 165.98/21.38 # partial match(1): HSSSSMSSSLSNHSA
% 165.98/21.38 # Preprocessing class: HSSSSLSSSLSNHSA.
% 165.98/21.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 165.98/21.38 # Starting post_as_ho12 with 1500s (5) cores
% 165.98/21.38 # No SInE strategy applied
% 165.98/21.38 # Search class: HGHSF-FFMF31-SHSFMSNN
% 165.98/21.38 # partial match(3): HGHPF-FFMF11-SHSFMFNN
% 165.98/21.38 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 165.98/21.38 # Starting new_ho_10 with 811s (1) cores
% 165.98/21.38 # Starting post_as_ho12 with 151s (1) cores
% 165.98/21.38 # Starting new_bool_1 with 136s (1) cores
% 165.98/21.38 # Starting lpo1_def_fix with 136s (1) cores
% 165.98/21.38 # Preprocessing time : 0.002 s
% 165.98/21.38 # Presaturation interreduction done
% 165.98/21.38
% 165.98/21.38 # Proof found!
% 165.98/21.38 # SZS status Theorem
% 165.98/21.38 # SZS output start CNFRefutation
% See solution above
% 165.98/21.38 # Parsed axioms : 11
% 165.98/21.38 # Removed by relevancy pruning/SinE : 0
% 165.98/21.38 # Initial clauses : 24
% 165.98/21.38 # Removed in clause preprocessing : 6
% 165.98/21.38 # Initial clauses in saturation : 18
% 165.98/21.38 # Processed clauses : 5700
% 165.98/21.38 # ...of these trivial : 21
% 165.98/21.38 # ...subsumed : 2493
% 165.98/21.38 # ...remaining for further processing : 3186
% 165.98/21.38 # Other redundant clauses eliminated : 21076
% 165.98/21.38 # Clauses deleted for lack of memory : 0
% 165.98/21.38 # Backward-subsumed : 452
% 165.98/21.38 # Backward-rewritten : 614
% 165.98/21.38 # Generated clauses : 476687
% 165.98/21.38 # ...of the previous two non-redundant : 439770
% 165.98/21.38 # ...aggressively subsumed : 0
% 165.98/21.38 # Contextual simplify-reflections : 146
% 165.98/21.38 # Paramodulations : 455550
% 165.98/21.38 # Factorizations : 10
% 165.98/21.38 # NegExts : 0
% 165.98/21.38 # Equation resolutions : 21127
% 165.98/21.38 # Disequality decompositions : 0
% 165.98/21.38 # Total rewrite steps : 22341
% 165.98/21.38 # ...of those cached : 22128
% 165.98/21.38 # Propositional unsat checks : 0
% 165.98/21.38 # Propositional check models : 0
% 165.98/21.38 # Propositional check unsatisfiable : 0
% 165.98/21.38 # Propositional clauses : 0
% 165.98/21.38 # Propositional clauses after purity: 0
% 165.98/21.38 # Propositional unsat core size : 0
% 165.98/21.38 # Propositional preprocessing time : 0.000
% 165.98/21.38 # Propositional encoding time : 0.000
% 165.98/21.38 # Propositional solver time : 0.000
% 165.98/21.38 # Success case prop preproc time : 0.000
% 165.98/21.38 # Success case prop encoding time : 0.000
% 165.98/21.38 # Success case prop solver time : 0.000
% 165.98/21.38 # Current number of processed clauses : 2098
% 165.98/21.38 # Positive orientable unit clauses : 283
% 165.98/21.38 # Positive unorientable unit clauses: 3
% 165.98/21.38 # Negative unit clauses : 2
% 165.98/21.38 # Non-unit-clauses : 1810
% 165.98/21.38 # Current number of unprocessed clauses: 433936
% 165.98/21.38 # ...number of literals in the above : 2724180
% 165.98/21.38 # Current number of archived formulas : 0
% 165.98/21.38 # Current number of archived clauses : 1084
% 165.98/21.38 # Clause-clause subsumption calls (NU) : 483261
% 165.98/21.38 # Rec. Clause-clause subsumption calls : 35480
% 165.98/21.38 # Non-unit clause-clause subsumptions : 2552
% 165.98/21.38 # Unit Clause-clause subsumption calls : 5290
% 165.98/21.38 # Rewrite failures with RHS unbound : 0
% 165.98/21.38 # BW rewrite match attempts : 32907
% 165.98/21.38 # BW rewrite match successes : 82
% 165.98/21.38 # Condensation attempts : 0
% 165.98/21.38 # Condensation successes : 0
% 165.98/21.38 # Termbank termtop insertions : 58904801
% 165.98/21.38 # Search garbage collected termcells : 592
% 165.98/21.38
% 165.98/21.38 # -------------------------------------------------
% 165.98/21.38 # User time : 20.354 s
% 165.98/21.38 # System time : 0.284 s
% 165.98/21.38 # Total time : 20.638 s
% 165.98/21.38 # Maximum resident set size: 1932 pages
% 165.98/21.38
% 165.98/21.38 # -------------------------------------------------
% 165.98/21.38 # User time : 101.979 s
% 165.98/21.38 # System time : 1.426 s
% 165.98/21.38 # Total time : 103.405 s
% 165.98/21.38 # Maximum resident set size: 1736 pages
% 165.98/21.38 % E---3.1 exiting
% 165.98/21.39 % E exiting
%------------------------------------------------------------------------------