TSTP Solution File: SEV046^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV046^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 04:07:28 EDT 2024
% Result : Theorem 138.25s 17.90s
% Output : CNFRefutation 138.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 16
% Syntax : Number of formulae : 180 ( 26 unt; 14 typ; 0 def)
% Number of atoms : 433 ( 19 equ; 0 cnn)
% Maximal formula atoms : 37 ( 2 avg)
% Number of connectives : 2107 ( 164 ~; 239 |; 38 &;1626 @)
% ( 5 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 281 ( 0 ^ 281 !; 0 ?; 281 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_22,type,
epred1_2: ( a > b > b > $o ) > ( a > a > $o ) > $o ).
thf(decl_23,type,
epred2_0: a > a > $o ).
thf(decl_24,type,
epred3_0: a > b > b > $o ).
thf(decl_25,type,
esk1_0: a > b ).
thf(decl_26,type,
esk2_0: a > b ).
thf(decl_27,type,
esk3_0: a ).
thf(decl_28,type,
esk4_0: a ).
thf(decl_29,type,
esk5_0: a > b ).
thf(decl_30,type,
esk6_0: a > b ).
thf(decl_31,type,
esk7_0: a > b ).
thf(decl_32,type,
esk8_0: a ).
thf(decl_33,type,
esk9_0: a ).
thf(cTHM507_pme,conjecture,
! [X1: a > a > $o,X2: a > b > b > $o] :
( ( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X3: a] :
( ( X1 @ X3 @ X3 )
=> ( ! [X6: b,X7: b] :
( ( X2 @ X3 @ X6 @ X7 )
=> ( X2 @ X3 @ X7 @ X6 ) )
& ! [X6: b,X8: b,X9: b] :
( ( ( X2 @ X3 @ X6 @ X8 )
& ( X2 @ X3 @ X8 @ X9 ) )
=> ( X2 @ X3 @ X6 @ X9 ) ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( ( X2 @ X3 )
= ( X2 @ X4 ) ) ) )
=> ( ! [X10: a > b,X11: a > b] :
( ! [X12: a,X13: a] :
( ( X1 @ X12 @ X13 )
=> ( X2 @ X12 @ ( X10 @ X12 ) @ ( X11 @ X13 ) ) )
=> ! [X14: a,X13: a] :
( ( X1 @ X14 @ X13 )
=> ( X2 @ X14 @ ( X11 @ X14 ) @ ( X10 @ X13 ) ) ) )
& ! [X15: a > b,X16: a > b,X17: a > b] :
( ( ! [X18: a,X13: a] :
( ( X1 @ X18 @ X13 )
=> ( X2 @ X18 @ ( X15 @ X18 ) @ ( X16 @ X13 ) ) )
& ! [X19: a,X13: a] :
( ( X1 @ X19 @ X13 )
=> ( X2 @ X19 @ ( X16 @ X19 ) @ ( X17 @ X13 ) ) ) )
=> ! [X20: a,X13: a] :
( ( X1 @ X20 @ X13 )
=> ( X2 @ X20 @ ( X15 @ X20 ) @ ( X17 @ X13 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM507_pme) ).
thf(c_0_1,plain,
! [X1: a > a > $o,X2: a > b > b > $o] :
( ( epred1_2 @ X2 @ X1 )
<=> ( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X3: a] :
( ( X1 @ X3 @ X3 )
=> ( ! [X6: b,X7: b] :
( ( X2 @ X3 @ X6 @ X7 )
=> ( X2 @ X3 @ X7 @ X6 ) )
& ! [X6: b,X8: b,X9: b] :
( ( ( X2 @ X3 @ X6 @ X8 )
& ( X2 @ X3 @ X8 @ X9 ) )
=> ( X2 @ X3 @ X6 @ X9 ) ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( ( X2 @ X3 )
= ( X2 @ X4 ) ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X1: a > a > $o,X2: a > b > b > $o] :
( ( epred1_2 @ X2 @ X1 )
=> ( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X3: a] :
( ( X1 @ X3 @ X3 )
=> ( ! [X6: b,X7: b] :
( ( X2 @ X3 @ X6 @ X7 )
=> ( X2 @ X3 @ X7 @ X6 ) )
& ! [X6: b,X8: b,X9: b] :
( ( ( X2 @ X3 @ X6 @ X8 )
& ( X2 @ X3 @ X8 @ X9 ) )
=> ( X2 @ X3 @ X6 @ X9 ) ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( ( X2 @ X3 )
= ( X2 @ X4 ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: a > a > $o,X2: a > b > b > $o] :
( ( epred1_2 @ X2 @ X1 )
=> ( ! [X10: a > b,X11: a > b] :
( ! [X12: a,X13: a] :
( ( X1 @ X12 @ X13 )
=> ( X2 @ X12 @ ( X10 @ X12 ) @ ( X11 @ X13 ) ) )
=> ! [X14: a,X13: a] :
( ( X1 @ X14 @ X13 )
=> ( X2 @ X14 @ ( X11 @ X14 ) @ ( X10 @ X13 ) ) ) )
& ! [X15: a > b,X16: a > b,X17: a > b] :
( ( ! [X18: a,X13: a] :
( ( X1 @ X18 @ X13 )
=> ( X2 @ X18 @ ( X15 @ X18 ) @ ( X16 @ X13 ) ) )
& ! [X19: a,X13: a] :
( ( X1 @ X19 @ X13 )
=> ( X2 @ X19 @ ( X16 @ X19 ) @ ( X17 @ X13 ) ) ) )
=> ! [X20: a,X13: a] :
( ( X1 @ X20 @ X13 )
=> ( X2 @ X20 @ ( X15 @ X20 ) @ ( X17 @ X13 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM507_pme]),c_0_1]) ).
thf(c_0_4,plain,
! [X68: a > a > $o,X69: a > b > b > $o,X70: a,X71: a,X72: a,X73: a,X74: a,X75: a,X76: b,X77: b,X78: b,X79: b,X80: b,X81: a,X82: a] :
( ( ~ ( X68 @ X70 @ X71 )
| ( X68 @ X71 @ X70 )
| ~ ( epred1_2 @ X69 @ X68 ) )
& ( ~ ( X68 @ X72 @ X73 )
| ~ ( X68 @ X73 @ X74 )
| ( X68 @ X72 @ X74 )
| ~ ( epred1_2 @ X69 @ X68 ) )
& ( ~ ( X69 @ X75 @ X76 @ X77 )
| ( X69 @ X75 @ X77 @ X76 )
| ~ ( X68 @ X75 @ X75 )
| ~ ( epred1_2 @ X69 @ X68 ) )
& ( ~ ( X69 @ X75 @ X78 @ X79 )
| ~ ( X69 @ X75 @ X79 @ X80 )
| ( X69 @ X75 @ X78 @ X80 )
| ~ ( X68 @ X75 @ X75 )
| ~ ( epred1_2 @ X69 @ X68 ) )
& ( ~ ( X68 @ X81 @ X82 )
| ( ( X69 @ X81 )
= ( X69 @ X82 ) )
| ~ ( epred1_2 @ X69 @ X68 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_5,negated_conjecture,
! [X55: a,X56: a,X62: a,X63: a,X64: a,X65: a] :
( ( epred1_2 @ epred3_0 @ epred2_0 )
& ( ~ ( epred2_0 @ X62 @ X63 )
| ( epred3_0 @ X62 @ ( esk5_0 @ X62 ) @ ( esk6_0 @ X63 ) )
| ~ ( epred2_0 @ X55 @ X56 )
| ( epred3_0 @ X55 @ ( esk1_0 @ X55 ) @ ( esk2_0 @ X56 ) ) )
& ( ~ ( epred2_0 @ X64 @ X65 )
| ( epred3_0 @ X64 @ ( esk6_0 @ X64 ) @ ( esk7_0 @ X65 ) )
| ~ ( epred2_0 @ X55 @ X56 )
| ( epred3_0 @ X55 @ ( esk1_0 @ X55 ) @ ( esk2_0 @ X56 ) ) )
& ( ( epred2_0 @ esk8_0 @ esk9_0 )
| ~ ( epred2_0 @ X55 @ X56 )
| ( epred3_0 @ X55 @ ( esk1_0 @ X55 ) @ ( esk2_0 @ X56 ) ) )
& ( ~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred2_0 @ X55 @ X56 )
| ( epred3_0 @ X55 @ ( esk1_0 @ X55 ) @ ( esk2_0 @ X56 ) ) )
& ( ~ ( epred2_0 @ X62 @ X63 )
| ( epred3_0 @ X62 @ ( esk5_0 @ X62 ) @ ( esk6_0 @ X63 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 ) )
& ( ~ ( epred2_0 @ X64 @ X65 )
| ( epred3_0 @ X64 @ ( esk6_0 @ X64 ) @ ( esk7_0 @ X65 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 ) )
& ( ( epred2_0 @ esk8_0 @ esk9_0 )
| ( epred2_0 @ esk3_0 @ esk4_0 ) )
& ( ~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 ) )
& ( ~ ( epred2_0 @ X62 @ X63 )
| ( epred3_0 @ X62 @ ( esk5_0 @ X62 ) @ ( esk6_0 @ X63 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) )
& ( ~ ( epred2_0 @ X64 @ X65 )
| ( epred3_0 @ X64 @ ( esk6_0 @ X64 ) @ ( esk7_0 @ X65 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) )
& ( ( epred2_0 @ esk8_0 @ esk9_0 )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) )
& ( ~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ) ),
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_3])])])])])]) ).
thf(c_0_6,plain,
! [X3: a,X2: a > b > b > $o,X4: a,X1: a > a > $o] :
( ( X1 @ X4 @ X3 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( epred1_2 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
epred1_2 @ epred3_0 @ epred2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X3: a,X2: a > b > b > $o,X5: a,X4: a,X1: a > a > $o] :
( ( X1 @ X3 @ X5 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( X1 @ X4 @ X5 )
| ~ ( epred1_2 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X4: a,X3: a] :
( ( epred2_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,negated_conjecture,
( ( epred2_0 @ esk8_0 @ esk9_0 )
| ( epred2_0 @ esk3_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_11,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( epred2_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X5 @ X4 )
| ~ ( epred2_0 @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
thf(c_0_12,negated_conjecture,
( ( epred2_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ esk9_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,plain,
! [X3: a,X2: a > b > b > $o,X8: b,X7: b,X6: b,X1: a > a > $o] :
( ( X2 @ X3 @ X6 @ X8 )
| ~ ( X2 @ X3 @ X6 @ X7 )
| ~ ( X2 @ X3 @ X7 @ X8 )
| ~ ( X1 @ X3 @ X3 )
| ~ ( epred1_2 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_14,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk3_0 @ esk4_0 )
| ( epred2_0 @ X3 @ esk8_0 )
| ~ ( epred2_0 @ X3 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,negated_conjecture,
! [X6: b,X8: b,X7: b,X3: a] :
( ( epred3_0 @ X3 @ X6 @ X7 )
| ~ ( epred3_0 @ X3 @ X8 @ X7 )
| ~ ( epred3_0 @ X3 @ X6 @ X8 )
| ~ ( epred2_0 @ X3 @ X3 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
thf(c_0_17,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
thf(c_0_18,negated_conjecture,
( ( epred2_0 @ esk8_0 @ esk8_0 )
| ( epred2_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
thf(c_0_19,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_20,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk8_0 @ X6 @ ( esk7_0 @ esk9_0 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 )
| ~ ( epred3_0 @ esk8_0 @ X6 @ ( esk6_0 @ esk8_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
thf(c_0_21,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
thf(c_0_22,negated_conjecture,
( ( epred2_0 @ esk3_0 @ esk4_0 )
| ~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_23,plain,
! [X3: a,X2: a > b > b > $o,X4: a,X1: a > a > $o] :
( ( ( X2 @ X3 )
= ( X2 @ X4 ) )
| ~ ( X1 @ X3 @ X4 )
| ~ ( epred1_2 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_24,negated_conjecture,
epred2_0 @ esk3_0 @ esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
thf(c_0_25,negated_conjecture,
! [X3: a,X4: a] :
( ( ( epred3_0 @ X3 )
= ( epred3_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
thf(c_0_26,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk4_0 )
| ~ ( epred2_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
thf(c_0_27,negated_conjecture,
( ( epred3_0 @ esk4_0 )
= ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
thf(c_0_28,plain,
! [X3: a,X2: a > b > b > $o,X7: b,X6: b,X1: a > a > $o] :
( ( X2 @ X3 @ X7 @ X6 )
| ~ ( X2 @ X3 @ X6 @ X7 )
| ~ ( X1 @ X3 @ X3 )
| ~ ( epred1_2 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_29,negated_conjecture,
! [X3: a,X4: a] :
( ( epred2_0 @ esk8_0 @ esk9_0 )
| ( epred3_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_30,negated_conjecture,
epred2_0 @ esk4_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_9,c_0_24]) ).
thf(c_0_31,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk4_0 @ X3 )
| ~ ( epred2_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
thf(c_0_32,negated_conjecture,
! [X203: b,X204: b] :
( ( epred3_0 @ esk4_0 @ X203 @ X204 )
<=> ( epred3_0 @ esk3_0 @ X203 @ X204 ) ),
inference(arg_cong,[status(thm)],[c_0_27]) ).
thf(c_0_33,negated_conjecture,
! [X7: b,X6: b,X3: a] :
( ( epred3_0 @ X3 @ X6 @ X7 )
| ~ ( epred3_0 @ X3 @ X7 @ X6 )
| ~ ( epred2_0 @ X3 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_7]) ).
thf(c_0_34,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred2_0 @ esk8_0 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,negated_conjecture,
epred2_0 @ esk4_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
thf(c_0_36,negated_conjecture,
! [X6: b,X7: b] :
( ( epred3_0 @ esk3_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk4_0 @ X6 @ X7 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_32]) ).
thf(c_0_37,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) )
| ( epred2_0 @ esk8_0 @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
thf(c_0_38,negated_conjecture,
( ( epred2_0 @ esk8_0 @ esk9_0 )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_39,negated_conjecture,
epred2_0 @ esk8_0 @ esk9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
thf(c_0_40,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk3_0 )
| ~ ( epred2_0 @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_30]) ).
thf(c_0_41,negated_conjecture,
! [X3: a,X4: a,X5: a,X12: a] :
( ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ( epred3_0 @ X5 @ ( esk1_0 @ X5 ) @ ( esk2_0 @ X12 ) )
| ~ ( epred2_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X5 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_42,negated_conjecture,
epred2_0 @ esk9_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
thf(c_0_43,negated_conjecture,
epred2_0 @ esk3_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_40,c_0_24]) ).
thf(c_0_44,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_24]) ).
thf(c_0_45,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk8_0 )
| ~ ( epred2_0 @ X3 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_42]) ).
thf(c_0_46,negated_conjecture,
! [X3: a,X4: a,X5: a,X12: a] :
( ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ( epred3_0 @ X5 @ ( esk1_0 @ X5 ) @ ( esk2_0 @ X12 ) )
| ~ ( epred2_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X5 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_47,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
thf(c_0_48,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
thf(c_0_49,negated_conjecture,
epred2_0 @ esk8_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
thf(c_0_50,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_24]) ).
thf(c_0_51,negated_conjecture,
! [X6: b,X7: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X6 @ X7 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_32]) ).
thf(c_0_52,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_47,c_0_39]) ).
thf(c_0_53,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
thf(c_0_54,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_30]) ).
thf(c_0_55,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ esk8_0 @ X6 @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk8_0 @ X6 @ ( esk6_0 @ esk8_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_48]),c_0_49])]) ).
thf(c_0_56,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
thf(c_0_57,negated_conjecture,
! [X7: b,X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X7 @ X6 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_51]),c_0_35])]) ).
thf(c_0_58,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ esk8_0 @ X6 @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk8_0 @ X6 @ ( esk6_0 @ esk8_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_52]),c_0_49])]) ).
thf(c_0_59,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
thf(c_0_60,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
thf(c_0_61,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred2_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
thf(c_0_62,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X4 ) )
| ~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_63,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_64,negated_conjecture,
! [X6: b,X7: b,X8: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk4_0 @ X6 @ X8 )
| ~ ( epred3_0 @ esk3_0 @ X7 @ X8 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_57]),c_0_35])]) ).
thf(c_0_65,negated_conjecture,
( ~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_66,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_67,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_60]),c_0_35])]) ).
thf(c_0_68,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( ( epred3_0 @ esk4_0 )
= ( epred3_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_25,c_0_61]) ).
thf(c_0_69,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred2_0 @ esk4_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_61]) ).
thf(c_0_70,negated_conjecture,
! [X3: a] :
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred2_0 @ X3 @ esk4_0 )
| ~ ( epred2_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_61]) ).
thf(c_0_71,negated_conjecture,
! [X3: a,X86: b,X85: b,X4: a] :
( ( ( epred3_0 @ X3 @ X85 @ X86 )
<=> ( epred3_0 @ X4 @ X85 @ X86 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_25]) ).
thf(c_0_72,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_73,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ X6 )
| ~ ( epred3_0 @ esk3_0 @ X6 @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
thf(c_0_74,negated_conjecture,
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
thf(c_0_75,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
thf(c_0_76,negated_conjecture,
! [X91: b,X92: b] :
( ( ( epred3_0 @ esk4_0 @ X91 @ X92 )
<=> ( epred3_0 @ esk3_0 @ X91 @ X92 ) )
| ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) ) ),
inference(arg_cong,[status(thm)],[c_0_68]) ).
thf(c_0_77,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_69]),c_0_25]) ).
thf(c_0_78,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred2_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
thf(c_0_79,negated_conjecture,
! [X7: b,X6: b,X4: a,X3: a] :
( ( epred3_0 @ X3 @ X6 @ X7 )
| ~ ( epred3_0 @ X4 @ X6 @ X7 )
| ~ ( epred2_0 @ X4 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_71]) ).
thf(c_0_80,negated_conjecture,
epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_24]) ).
thf(c_0_81,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ) )
| ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
thf(c_0_82,negated_conjecture,
! [X6: b,X7: b] :
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred3_0 @ esk3_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk4_0 @ X6 @ X7 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_76]) ).
thf(c_0_83,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_77]),c_0_78]) ).
thf(c_0_84,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ X3 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred2_0 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
thf(c_0_85,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_81]),c_0_35])]) ).
thf(c_0_86,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
thf(c_0_87,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_30]) ).
thf(c_0_88,negated_conjecture,
( ( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_89,negated_conjecture,
! [X6: b,X3: a] :
( ( epred3_0 @ X3 @ X6 @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred3_0 @ X3 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred2_0 @ esk3_0 @ X3 )
| ~ ( epred2_0 @ X3 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_84]) ).
thf(c_0_90,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) )
| ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) ) ),
inference(spm,[status(thm)],[c_0_85,c_0_67]) ).
thf(c_0_91,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_86,c_0_49]) ).
thf(c_0_92,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_49]) ).
thf(c_0_93,negated_conjecture,
( ( epred3_0 @ esk9_0 )
= ( epred3_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_88]),c_0_25]) ).
thf(c_0_94,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_24]),c_0_35])]) ).
thf(c_0_95,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_91]),c_0_35])]) ).
thf(c_0_96,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_92]),c_0_35])]) ).
thf(c_0_97,negated_conjecture,
! [X189: b,X190: b] :
( ( epred3_0 @ esk9_0 @ X189 @ X190 )
<=> ( epred3_0 @ esk8_0 @ X189 @ X190 ) ),
inference(arg_cong,[status(thm)],[c_0_93]) ).
thf(c_0_98,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_94]) ).
thf(c_0_99,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) ) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
thf(c_0_100,negated_conjecture,
! [X6: b,X8: b,X7: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk4_0 @ X6 @ X8 )
| ~ ( epred3_0 @ esk3_0 @ X8 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_51]),c_0_35])]) ).
thf(c_0_101,negated_conjecture,
! [X6: b,X7: b] :
( ( epred3_0 @ esk9_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk8_0 @ X6 @ X7 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_97]) ).
thf(c_0_102,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 @ esk9_0 )
| ~ ( epred2_0 @ X3 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_39]) ).
thf(c_0_103,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ esk8_0 @ X6 @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk8_0 @ X6 @ ( esk6_0 @ esk8_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_98]),c_0_49])]) ).
thf(c_0_104,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk8_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_99]) ).
thf(c_0_105,negated_conjecture,
! [X8: b,X7: b,X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X8 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X8 @ X6 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_57]) ).
thf(c_0_106,negated_conjecture,
! [X7: b,X6: b] :
( ( epred3_0 @ esk9_0 @ X6 @ X7 )
| ~ ( epred2_0 @ esk9_0 @ esk9_0 )
| ~ ( epred3_0 @ esk8_0 @ X7 @ X6 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_101]) ).
thf(c_0_107,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ esk9_0 @ X3 )
| ~ ( epred2_0 @ X3 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_102]) ).
thf(c_0_108,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
thf(c_0_109,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ X6 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_80]) ).
thf(c_0_110,negated_conjecture,
! [X3: a,X7: b,X6: b,X4: a] :
( ( epred3_0 @ X3 @ X6 @ X7 )
| ~ ( epred3_0 @ X4 @ X6 @ X7 )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_71]) ).
thf(c_0_111,negated_conjecture,
! [X6: b,X7: b,X8: b] :
( ( epred3_0 @ esk9_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk9_0 @ X6 @ X8 )
| ~ ( epred2_0 @ esk9_0 @ esk9_0 )
| ~ ( epred3_0 @ esk8_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_106]) ).
thf(c_0_112,negated_conjecture,
epred2_0 @ esk9_0 @ esk9_0,
inference(spm,[status(thm)],[c_0_107,c_0_42]) ).
thf(c_0_113,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_86,c_0_39]) ).
thf(c_0_114,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ( epred3_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_108]) ).
thf(c_0_115,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ X6 @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ X6 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_109]) ).
thf(c_0_116,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ X3 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred2_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_80]) ).
thf(c_0_117,negated_conjecture,
! [X6: b,X7: b,X8: b] :
( ( epred3_0 @ esk9_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk9_0 @ X6 @ X8 )
| ~ ( epred3_0 @ esk8_0 @ X7 @ X8 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
thf(c_0_118,negated_conjecture,
( ( epred3_0 @ esk9_0 @ ( esk5_0 @ esk9_0 ) @ ( esk6_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_87,c_0_112]) ).
thf(c_0_119,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk4_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_113]),c_0_35])]) ).
thf(c_0_120,negated_conjecture,
! [X8: b,X7: b,X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X7 @ X8 )
| ~ ( epred3_0 @ esk3_0 @ X8 @ X6 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
thf(c_0_121,negated_conjecture,
epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk2_0 @ esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_43]),c_0_115]) ).
thf(c_0_122,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ X3 @ ( esk2_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred2_0 @ X3 @ esk3_0 )
| ~ ( epred2_0 @ X3 @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_116]) ).
thf(c_0_123,negated_conjecture,
! [X7: b,X6: b,X3: a] :
( ( epred3_0 @ X3 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X7 @ X6 )
| ~ ( epred2_0 @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_57]) ).
thf(c_0_124,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ esk9_0 @ ( esk5_0 @ esk9_0 ) @ X6 )
| ~ ( epred3_0 @ esk8_0 @ X6 @ ( esk6_0 @ esk9_0 ) ) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
thf(c_0_125,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk4_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_119]) ).
thf(c_0_126,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk4_0 ) @ X6 ) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
thf(c_0_127,negated_conjecture,
epred3_0 @ esk4_0 @ ( esk2_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_30]),c_0_35])]) ).
thf(c_0_128,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ X3 @ ( esk2_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred2_0 @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_80]) ).
thf(c_0_129,negated_conjecture,
! [X6: b,X7: b,X8: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X7 @ X8 )
| ~ ( epred3_0 @ esk3_0 @ X6 @ X8 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
thf(c_0_130,negated_conjecture,
( ( epred3_0 @ esk9_0 @ ( esk5_0 @ esk9_0 ) @ ( esk5_0 @ esk8_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
thf(c_0_131,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_127]),c_0_35])]) ).
thf(c_0_132,negated_conjecture,
! [X6: b,X3: a] :
( ( epred3_0 @ X3 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ X3 @ X6 @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred2_0 @ X3 @ esk4_0 )
| ~ ( epred2_0 @ X3 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_128]) ).
thf(c_0_133,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk3_0 @ X6 @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_129,c_0_80]) ).
thf(c_0_134,negated_conjecture,
( ( epred3_0 @ esk9_0 @ ( esk6_0 @ esk9_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_54,c_0_112]) ).
thf(c_0_135,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ esk9_0 @ X6 @ ( esk6_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk9_0 @ X6 @ ( esk5_0 @ esk9_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_118]),c_0_112])]) ).
thf(c_0_136,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ esk9_0 @ ( esk5_0 @ esk8_0 ) @ ( esk5_0 @ esk9_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_130]),c_0_112])]) ).
thf(c_0_137,negated_conjecture,
! [X7: b,X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk3_0 @ X7 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_64,c_0_131]) ).
thf(c_0_138,negated_conjecture,
epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_121]),c_0_24]),c_0_43])]) ).
thf(c_0_139,negated_conjecture,
! [X6: b,X7: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk3_0 @ X7 @ ( esk2_0 @ esk4_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_133]),c_0_35])]) ).
thf(c_0_140,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ esk9_0 @ X6 @ ( esk7_0 @ esk9_0 ) )
| ~ ( epred3_0 @ esk9_0 @ X6 @ ( esk6_0 @ esk9_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_134]),c_0_112])]) ).
thf(c_0_141,negated_conjecture,
( ( epred3_0 @ esk9_0 @ ( esk5_0 @ esk8_0 ) @ ( esk6_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
thf(c_0_142,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
thf(c_0_143,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_139,c_0_121]) ).
thf(c_0_144,negated_conjecture,
! [X6: b,X7: b] :
( ( epred3_0 @ esk8_0 @ X6 @ X7 )
| ~ ( epred3_0 @ esk9_0 @ X6 @ X7 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_97]) ).
thf(c_0_145,negated_conjecture,
( ( epred3_0 @ esk9_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
thf(c_0_146,negated_conjecture,
epred3_0 @ esk4_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_116]),c_0_30])]) ).
thf(c_0_147,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_143]) ).
thf(c_0_148,negated_conjecture,
( ( epred3_0 @ esk4_0 @ ( esk1_0 @ esk4_0 ) @ ( esk2_0 @ esk3_0 ) )
| ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) ) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
thf(c_0_149,negated_conjecture,
epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_146]),c_0_35])]) ).
thf(c_0_150,negated_conjecture,
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) )
| ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
thf(c_0_151,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk4_0 @ ( esk2_0 @ esk3_0 ) @ X6 )
| ~ ( epred3_0 @ esk3_0 @ X6 @ ( esk1_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_64,c_0_149]) ).
thf(c_0_152,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ esk3_0 @ ( esk1_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ) )
| ( epred3_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_150]) ).
thf(c_0_153,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ X6 @ ( esk1_0 @ esk3_0 ) )
| ~ ( epred3_0 @ esk4_0 @ X6 @ ( esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_131]) ).
thf(c_0_154,negated_conjecture,
! [X6: b] :
( ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ X6 )
| ~ ( epred3_0 @ esk3_0 @ X6 @ ( esk1_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_151]) ).
thf(c_0_155,negated_conjecture,
epred3_0 @ esk3_0 @ ( esk1_0 @ esk4_0 ) @ ( esk1_0 @ esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_35]),c_0_153]) ).
thf(c_0_156,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_157,negated_conjecture,
epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
thf(c_0_158,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk6_0 @ X3 ) @ ( esk7_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]) ).
thf(c_0_159,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk8_0 @ ( esk6_0 @ esk9_0 ) @ ( esk7_0 @ X3 ) )
| ~ ( epred2_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_144,c_0_158]) ).
thf(c_0_160,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 )
| ~ ( epred3_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_161,negated_conjecture,
! [X6: b,X3: a] :
( ( epred3_0 @ esk8_0 @ X6 @ ( esk7_0 @ X3 ) )
| ~ ( epred3_0 @ esk8_0 @ X6 @ ( esk6_0 @ esk9_0 ) )
| ~ ( epred2_0 @ esk9_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_159]),c_0_49])]) ).
thf(c_0_162,negated_conjecture,
! [X3: a,X4: a] :
( ( epred3_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_157])]) ).
thf(c_0_163,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ X3 ) )
| ~ ( epred2_0 @ esk9_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_39])]) ).
thf(c_0_164,negated_conjecture,
~ ( epred3_0 @ esk8_0 @ ( esk5_0 @ esk8_0 ) @ ( esk7_0 @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_157])]) ).
thf(c_0_165,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_163,c_0_164,c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV046^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n006.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 19:07:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.49 Running higher-order theorem proving
% 0.22/0.49 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
% 138.25/17.90 # Version: 3.1.0-ho
% 138.25/17.90 # Preprocessing class: HSMSSMSSSSSNSSA.
% 138.25/17.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.25/17.90 # Starting post_as_ho1 with 1500s (5) cores
% 138.25/17.90 # Starting post_as_ho12 with 300s (1) cores
% 138.25/17.90 # Starting new_ho_3 with 300s (1) cores
% 138.25/17.90 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 138.25/17.90 # post_as_ho1 with pid 23690 completed with status 0
% 138.25/17.90 # Result found by post_as_ho1
% 138.25/17.90 # Preprocessing class: HSMSSMSSSSSNSSA.
% 138.25/17.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.25/17.90 # Starting post_as_ho1 with 1500s (5) cores
% 138.25/17.90 # No SInE strategy applied
% 138.25/17.90 # Search class: HGHSF-FFMF00-SSSFFSBN
% 138.25/17.90 # partial match(1): HGHSF-FFSF00-SSSFFSBN
% 138.25/17.90 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 138.25/17.90 # Starting ho_unfolding_3 with 811s (1) cores
% 138.25/17.90 # Starting post_as_ho1 with 151s (1) cores
% 138.25/17.90 # Starting sh5l with 136s (1) cores
% 138.25/17.90 # Starting new_bool_3 with 136s (1) cores
% 138.25/17.90 # Starting new_bool_1 with 136s (1) cores
% 138.25/17.90 # post_as_ho1 with pid 23697 completed with status 0
% 138.25/17.90 # Result found by post_as_ho1
% 138.25/17.90 # Preprocessing class: HSMSSMSSSSSNSSA.
% 138.25/17.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.25/17.90 # Starting post_as_ho1 with 1500s (5) cores
% 138.25/17.90 # No SInE strategy applied
% 138.25/17.90 # Search class: HGHSF-FFMF00-SSSFFSBN
% 138.25/17.90 # partial match(1): HGHSF-FFSF00-SSSFFSBN
% 138.25/17.90 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 138.25/17.90 # Starting ho_unfolding_3 with 811s (1) cores
% 138.25/17.90 # Starting post_as_ho1 with 151s (1) cores
% 138.25/17.90 # Preprocessing time : 0.001 s
% 138.25/17.90 # Presaturation interreduction done
% 138.25/17.90 # SatCheck found unsatisfiable ground set
% 138.25/17.90
% 138.25/17.90 # Proof found!
% 138.25/17.90 # SZS status Theorem
% 138.25/17.90 # SZS output start CNFRefutation
% See solution above
% 138.25/17.90 # Parsed axioms : 3
% 138.25/17.90 # Removed by relevancy pruning/SinE : 0
% 138.25/17.90 # Initial clauses : 20
% 138.25/17.90 # Removed in clause preprocessing : 2
% 138.25/17.90 # Initial clauses in saturation : 18
% 138.25/17.90 # Processed clauses : 72570
% 138.25/17.90 # ...of these trivial : 495
% 138.25/17.90 # ...subsumed : 57075
% 138.25/17.90 # ...remaining for further processing : 15000
% 138.25/17.90 # Other redundant clauses eliminated : 0
% 138.25/17.90 # Clauses deleted for lack of memory : 0
% 138.25/17.90 # Backward-subsumed : 2898
% 138.25/17.90 # Backward-rewritten : 5917
% 138.25/17.90 # Generated clauses : 318711
% 138.25/17.90 # ...of the previous two non-redundant : 299716
% 138.25/17.90 # ...aggressively subsumed : 0
% 138.25/17.90 # Contextual simplify-reflections : 24
% 138.25/17.90 # Paramodulations : 318558
% 138.25/17.90 # Factorizations : 0
% 138.25/17.90 # NegExts : 0
% 138.25/17.90 # Equation resolutions : 0
% 138.25/17.90 # Disequality decompositions : 0
% 138.25/17.90 # Total rewrite steps : 78384
% 138.25/17.90 # ...of those cached : 78258
% 138.25/17.90 # Propositional unsat checks : 3
% 138.25/17.90 # Propositional check models : 2
% 138.25/17.90 # Propositional check unsatisfiable : 1
% 138.25/17.90 # Propositional clauses : 183497
% 138.25/17.90 # Propositional clauses after purity: 5397
% 138.25/17.90 # Propositional unsat core size : 3
% 138.25/17.90 # Propositional preprocessing time : 0.000
% 138.25/17.90 # Propositional encoding time : 0.163
% 138.25/17.90 # Propositional solver time : 0.020
% 138.25/17.90 # Success case prop preproc time : 0.000
% 138.25/17.90 # Success case prop encoding time : 0.055
% 138.25/17.90 # Success case prop solver time : 0.010
% 138.25/17.90 # Current number of processed clauses : 6129
% 138.25/17.90 # Positive orientable unit clauses : 117
% 138.25/17.90 # Positive unorientable unit clauses: 0
% 138.25/17.90 # Negative unit clauses : 1
% 138.25/17.90 # Non-unit-clauses : 6011
% 138.25/17.90 # Current number of unprocessed clauses: 177368
% 138.25/17.90 # ...number of literals in the above : 583417
% 138.25/17.90 # Current number of archived formulas : 0
% 138.25/17.90 # Current number of archived clauses : 8871
% 138.25/17.90 # Clause-clause subsumption calls (NU) : 23078948
% 138.25/17.90 # Rec. Clause-clause subsumption calls : 16117354
% 138.25/17.90 # Non-unit clause-clause subsumptions : 59229
% 138.25/17.90 # Unit Clause-clause subsumption calls : 117788
% 138.25/17.90 # Rewrite failures with RHS unbound : 0
% 138.25/17.90 # BW rewrite match attempts : 536
% 138.25/17.90 # BW rewrite match successes : 83
% 138.25/17.90 # Condensation attempts : 0
% 138.25/17.90 # Condensation successes : 0
% 138.25/17.90 # Termbank termtop insertions : 5496423
% 138.25/17.90 # Search garbage collected termcells : 623
% 138.25/17.90
% 138.25/17.90 # -------------------------------------------------
% 138.25/17.90 # User time : 17.094 s
% 138.25/17.90 # System time : 0.151 s
% 138.25/17.90 # Total time : 17.244 s
% 138.25/17.90 # Maximum resident set size: 1928 pages
% 138.25/17.90
% 138.25/17.90 # -------------------------------------------------
% 138.25/17.90 # User time : 84.882 s
% 138.25/17.90 # System time : 0.893 s
% 138.25/17.90 # Total time : 85.775 s
% 138.25/17.90 # Maximum resident set size: 1776 pages
% 138.25/17.90 % E---3.1 exiting
% 138.25/17.90 % E exiting
%------------------------------------------------------------------------------