%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU473^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:23:53 AM UTC 2026
% Result : Theorem 4.38s 0.80s
% Output : CNFRefutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 8
% Syntax : Number of formulae : 250 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 1109 ( 208 equ; 0 cnn)
% Maximal formula atoms : 124 ( 4 avg)
% Number of connectives : 6551 ( 353 ~;1288 |; 67 &;4798 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 681 ( 681 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 3 con; 0-3 aty)
% Number of variables : 475 ( 37 ^; 438 !; 0 ?; 475 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_27,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(decl_30,type,
rc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_34,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_35,type,
trans: ( $i > $i > $o ) > $o ).
thf(decl_36,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_38,type,
trsc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_52,type,
epred1_0: $i > $i > $o ).
thf(decl_53,type,
epred2_0: $i > $i > $o ).
thf(decl_54,type,
esk1_0: $i ).
thf(decl_55,type,
esk2_0: $i ).
thf(decl_56,type,
esk3_1: ( $i > $i > $o ) > $i ).
thf(decl_57,type,
esk4_1: ( $i > $i > $o ) > $i ).
thf(decl_58,type,
esk5_1: ( $i > $i > $o ) > $i ).
thf(decl_59,type,
esk6_1: ( $i > $i > $o ) > $i ).
thf(decl_60,type,
esk7_1: ( $i > $i > $o ) > $i ).
thf(decl_61,type,
esk8_1: ( $i > $i > $o ) > $i ).
thf(decl_62,type,
esk9_1: ( $i > $i > $o ) > $i ).
thf(decl_63,type,
esk10_1: ( $i > $i > $o ) > $i ).
thf(decl_64,type,
esk11_1: ( $i > $i > $o ) > $i ).
thf(decl_65,type,
esk12_1: ( $i > $i > $o ) > $i ).
thf(decl_66,type,
epred3_0: $i > $i > $o ).
thf(decl_67,type,
epred4_0: $i > $i > $o ).
thf(transitive_closure,axiom,
( tc
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
! [X2: $i > $i > $o] :
( ( ( trans @ X2 )
& ( subrel @ X1 @ X2 ) )
=> ( X2 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',transitive_closure) ).
thf(subrel,axiom,
( subrel
= ( ^ [X1: $i > $i > $o,X2: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',subrel) ).
thf(transitive,axiom,
( trans
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X6 ) )
=> ( X1 @ X3 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',transitive) ).
thf(monotonic,axiom,
( mono
= ( ^ [X5: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( subrel @ X1 @ X2 )
=> ( subrel @ ( X5 @ X1 ) @ ( X5 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',monotonic) ).
thf(transitive_reflexive_symmetric_closure,axiom,
( trsc
= ( ^ [X1: $i > $i > $o] : ( sc @ ( rc @ ( tc @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',transitive_reflexive_symmetric_closure) ).
thf(reflexive_closure,axiom,
( rc
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X1 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',reflexive_closure) ).
thf(symmetric_closure,axiom,
( sc
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
( ( X1 @ X4 @ X3 )
| ( X1 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',symmetric_closure) ).
thf(transitive_reflexive_symmetric_closure_op_is_monotonic,conjecture,
mono @ trsc,
file('/export/starexec/sandbox2/tmp/tmp.GtPsF2BP2U/E---3.1_2676025.p',transitive_reflexive_symmetric_closure_op_is_monotonic) ).
thf(c_0_8,plain,
( tc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
! [X2: $i > $i > $o] :
( ( ! [X15: $i,X16: $i,X17: $i] :
( ( ( X2 @ X15 @ X16 )
& ( X2 @ X16 @ X17 ) )
=> ( X2 @ X15 @ X17 ) )
& ! [X18: $i,X19: $i] :
( ( Z0 @ X18 @ X19 )
=> ( X2 @ X18 @ X19 ) ) )
=> ( X2 @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive_closure]) ).
thf(c_0_9,plain,
( subrel
= ( ^ [Z0: $i > $i > $o,Z1: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( Z0 @ X3 @ X4 )
=> ( Z1 @ X3 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[subrel]) ).
thf(c_0_10,plain,
( trans
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( Z0 @ X3 @ X4 )
& ( Z0 @ X4 @ X6 ) )
=> ( Z0 @ X3 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive]) ).
thf(c_0_11,plain,
( mono
= ( ^ [Z0: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ! [X11: $i,X12: $i] :
( ( X1 @ X11 @ X12 )
=> ( X2 @ X11 @ X12 ) )
=> ! [X13: $i,X14: $i] :
( ( Z0 @ X1 @ X13 @ X14 )
=> ( Z0 @ X2 @ X13 @ X14 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[monotonic]) ).
thf(c_0_12,plain,
( trsc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
( Z2
| ! [X26: $i > $i > $o] :
( ( ! [X27: $i,X28: $i,X29: $i] :
( ( ( X26 @ X27 @ X28 )
& ( X26 @ X28 @ X29 ) )
=> ( X26 @ X27 @ X29 ) )
& ! [X30: $i,X31: $i] :
( ( Z0 @ X30 @ X31 )
=> ( X26 @ X30 @ X31 ) ) )
=> ( X26 @ Z2 @ Z1 ) )
| ( Z1 = Z2 )
| ! [X26: $i > $i > $o] :
( ( ! [X27: $i,X28: $i,X29: $i] :
( ( ( X26 @ X27 @ X28 )
& ( X26 @ X28 @ X29 ) )
=> ( X26 @ X27 @ X29 ) )
& ! [X30: $i,X31: $i] :
( ( Z0 @ X30 @ X31 )
=> ( X26 @ X30 @ X31 ) ) )
=> ( X26 @ Z1 @ Z2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive_reflexive_symmetric_closure]) ).
thf(c_0_13,plain,
( rc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
( ( Z1 = Z2 )
| ( Z0 @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[reflexive_closure]) ).
thf(c_0_14,plain,
( sc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
( ( Z0 @ Z2 @ Z1 )
| ( Z0 @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[symmetric_closure]) ).
thf(c_0_15,plain,
( tc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
! [X2: $i > $i > $o] :
( ( ! [X15: $i,X16: $i,X17: $i] :
( ( ( X2 @ X15 @ X16 )
& ( X2 @ X16 @ X17 ) )
=> ( X2 @ X15 @ X17 ) )
& ! [X18: $i,X19: $i] :
( ( Z0 @ X18 @ X19 )
=> ( X2 @ X18 @ X19 ) ) )
=> ( X2 @ Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_16,negated_conjecture,
~ ( mono @ trsc ),
inference(assume_negation,[status(cth)],[transitive_reflexive_symmetric_closure_op_is_monotonic]) ).
thf(c_0_17,plain,
( mono
= ( ^ [Z0: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ! [X11: $i,X12: $i] :
( ( X1 @ X11 @ X12 )
=> ( X2 @ X11 @ X12 ) )
=> ! [X13: $i,X14: $i] :
( ( Z0 @ X1 @ X13 @ X14 )
=> ( Z0 @ X2 @ X13 @ X14 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_11,c_0_9]) ).
thf(c_0_18,plain,
( trsc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
( Z2
| ! [X26: $i > $i > $o] :
( ( ! [X27: $i,X28: $i,X29: $i] :
( ( ( X26 @ X27 @ X28 )
& ( X26 @ X28 @ X29 ) )
=> ( X26 @ X27 @ X29 ) )
& ! [X30: $i,X31: $i] :
( ( Z0 @ X30 @ X31 )
=> ( X26 @ X30 @ X31 ) ) )
=> ( X26 @ Z2 @ Z1 ) )
| ( Z1 = Z2 )
| ! [X26: $i > $i > $o] :
( ( ! [X27: $i,X28: $i,X29: $i] :
( ( ( X26 @ X27 @ X28 )
& ( X26 @ X28 @ X29 ) )
=> ( X26 @ X27 @ X29 ) )
& ! [X30: $i,X31: $i] :
( ( Z0 @ X30 @ X31 )
=> ( X26 @ X30 @ X31 ) ) )
=> ( X26 @ Z1 @ Z2 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]) ).
thf(c_0_19,negated_conjecture,
~ ! [X169: $i > $i > $o,X170: $i > $i > $o] :
( ! [X171: $i,X172: $i] :
( ( X169 @ X171 @ X172 )
=> ( X170 @ X171 @ X172 ) )
=> ! [X173: $i,X174: $i] :
( ( ( X174 = X173 )
| ! [X157: $i > $i > $o] :
( ( ! [X158: $i,X159: $i,X160: $i] :
( ( ( X157 @ X158 @ X159 )
& ( X157 @ X159 @ X160 ) )
=> ( X157 @ X158 @ X160 ) )
& ! [X161: $i,X162: $i] :
( ( X169 @ X161 @ X162 )
=> ( X157 @ X161 @ X162 ) ) )
=> ( X157 @ X174 @ X173 ) )
| ( X173 = X174 )
| ! [X163: $i > $i > $o] :
( ( ! [X164: $i,X165: $i,X166: $i] :
( ( ( X163 @ X164 @ X165 )
& ( X163 @ X165 @ X166 ) )
=> ( X163 @ X164 @ X166 ) )
& ! [X167: $i,X168: $i] :
( ( X169 @ X167 @ X168 )
=> ( X163 @ X167 @ X168 ) ) )
=> ( X163 @ X173 @ X174 ) ) )
=> ( ( X174 = X173 )
| ! [X157: $i > $i > $o] :
( ( ! [X158: $i,X159: $i,X160: $i] :
( ( ( X157 @ X158 @ X159 )
& ( X157 @ X159 @ X160 ) )
=> ( X157 @ X158 @ X160 ) )
& ! [X161: $i,X162: $i] :
( ( X170 @ X161 @ X162 )
=> ( X157 @ X161 @ X162 ) ) )
=> ( X157 @ X174 @ X173 ) )
| ( X173 = X174 )
| ! [X163: $i > $i > $o] :
( ( ! [X164: $i,X165: $i,X166: $i] :
( ( ( X163 @ X164 @ X165 )
& ( X163 @ X165 @ X166 ) )
=> ( X163 @ X164 @ X166 ) )
& ! [X167: $i,X168: $i] :
( ( X170 @ X167 @ X168 )
=> ( X163 @ X167 @ X168 ) ) )
=> ( X163 @ X173 @ X174 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
thf(c_0_20,negated_conjecture,
! [X177: $i,X178: $i,X181: $i > $i > $o,X187: $i > $i > $o,X194: $i,X195: $i,X196: $i,X197: $i,X198: $i,X200: $i,X201: $i,X202: $i,X203: $i,X204: $i] :
( ( ~ ( epred1_0 @ X177 @ X178 )
| ( epred2_0 @ X177 @ X178 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk3_1 @ X181 ) @ ( esk4_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ( X181 @ ( esk4_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk8_1 @ X187 ) @ ( esk9_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ( X187 @ ( esk9_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ( epred1_0 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( ~ ( X187 @ ( esk11_1 @ X187 ) @ ( esk12_1 @ X187 ) )
| ~ ( X187 @ ( esk8_1 @ X187 ) @ ( esk10_1 @ X187 ) )
| ( X187 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ~ ( X181 @ ( esk6_1 @ X181 ) @ ( esk7_1 @ X181 ) )
| ~ ( X181 @ ( esk3_1 @ X181 ) @ ( esk5_1 @ X181 ) )
| ( X181 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) )
& ( esk2_0 != esk1_0 )
& ( ~ ( epred3_0 @ X194 @ X195 )
| ~ ( epred3_0 @ X195 @ X196 )
| ( epred3_0 @ X194 @ X196 ) )
& ( ~ ( epred2_0 @ X197 @ X198 )
| ( epred3_0 @ X197 @ X198 ) )
& ~ ( epred3_0 @ esk2_0 @ esk1_0 )
& ( esk1_0 != esk2_0 )
& ( ~ ( epred4_0 @ X200 @ X201 )
| ~ ( epred4_0 @ X201 @ X202 )
| ( epred4_0 @ X200 @ X202 ) )
& ( ~ ( epred2_0 @ X203 @ X204 )
| ( epred4_0 @ X203 @ X204 ) )
& ~ ( epred4_0 @ esk1_0 @ esk2_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_19])])])])])]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_22,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_21]) ).
thf(c_0_23,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_26,negated_conjecture,
! [X3: $i,X4: $i,X6: $i] :
( ( epred3_0 @ X3 @ X6 )
| ~ ( epred3_0 @ X3 @ X4 )
| ~ ( epred3_0 @ X4 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_28,negated_conjecture,
~ ( epred3_0 @ esk2_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_29,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_24]) ).
thf(c_0_30,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_25]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_32,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i > $i > $o,X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred3_0 @ X3 @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ X3 @ ( esk4_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_29,c_0_23]) ).
thf(c_0_35,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_30,c_0_23]) ).
thf(c_0_36,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_31]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_32]) ).
thf(c_0_38,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk9_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_40,negated_conjecture,
! [X1: $i > $i > $o,X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred3_0 @ X3 @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ X3 @ ( esk4_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_28]) ).
thf(c_0_41,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[c_0_36,c_0_23]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_37,c_0_23]) ).
thf(c_0_43,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(ef,[status(thm)],[c_0_38]) ).
thf(c_0_44,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_39]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk8_1 @ X2 ) @ ( esk9_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_28]) ).
thf(c_0_46,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk9_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_28]) ).
thf(c_0_47,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_44,c_0_23]) ).
thf(c_0_48,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(ef,[status(thm)],[c_0_45]) ).
thf(c_0_49,negated_conjecture,
! [X3: $i,X4: $i,X6: $i] :
( ( epred4_0 @ X3 @ X6 )
| ~ ( epred4_0 @ X3 @ X4 )
| ~ ( epred4_0 @ X4 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_50,negated_conjecture,
~ ( epred4_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_51,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_52,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(ef,[status(thm)],[c_0_46]) ).
thf(c_0_53,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk8_1 @ X2 ) @ ( esk9_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_28]) ).
thf(c_0_54,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_55,negated_conjecture,
! [X1: $i > $i > $o,X3: $i] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_34]),c_0_50]) ).
thf(c_0_56,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_51]) ).
thf(c_0_57,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_50]) ).
thf(c_0_58,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(ef,[status(thm)],[c_0_53]) ).
thf(c_0_59,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_54]) ).
thf(c_0_60,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_41]),c_0_50]) ).
thf(c_0_61,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_56,c_0_23]) ).
thf(c_0_62,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_50]) ).
thf(c_0_63,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_59,c_0_23]) ).
thf(c_0_64,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(ef,[status(thm)],[c_0_60]) ).
thf(c_0_65,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_66,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_50]) ).
thf(c_0_67,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_50]) ).
thf(c_0_68,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_69,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_65]) ).
thf(c_0_70,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred3_0 @ X3 @ ( esk5_1 @ epred3_0 ) )
| ~ ( epred3_0 @ X3 @ ( esk4_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_66]),c_0_28]) ).
thf(c_0_71,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(ef,[status(thm)],[c_0_67]) ).
thf(c_0_72,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_68]) ).
thf(c_0_73,negated_conjecture,
! [X3: $i,X4: $i] :
( ( epred4_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_74,negated_conjecture,
! [X3: $i,X4: $i] :
( ( epred2_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_75,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_69,c_0_23]) ).
thf(c_0_76,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_28]) ).
thf(c_0_77,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_78,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_79,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ ( esk9_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_72,c_0_23]) ).
thf(c_0_80,negated_conjecture,
! [X3: $i,X4: $i] :
( ( epred4_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
thf(c_0_81,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_28]) ).
thf(c_0_82,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_77]) ).
thf(c_0_83,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_78]) ).
thf(c_0_84,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_85,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred4_0 @ ( esk9_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_50]) ).
thf(c_0_86,negated_conjecture,
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_62]),c_0_50]) ).
thf(c_0_87,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ ( esk8_1 @ X2 ) @ ( esk9_1 @ X2 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_82,c_0_23]) ).
thf(c_0_88,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ ( esk9_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_83,c_0_23]) ).
thf(c_0_89,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_84]) ).
thf(c_0_90,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ ( esk9_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
thf(c_0_91,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_80]),c_0_50]) ).
thf(c_0_92,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred4_0 @ ( esk9_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_80]),c_0_50]) ).
thf(c_0_93,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ ( esk8_1 @ X2 ) @ ( esk9_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_89,c_0_23]) ).
thf(c_0_94,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_95,negated_conjecture,
! [X1: $i > $i > $o,X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_49,c_0_90]) ).
thf(c_0_96,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_86]) ).
thf(c_0_97,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ ( esk9_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_86]) ).
thf(c_0_98,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_80]),c_0_50]) ).
thf(c_0_99,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_94]) ).
thf(c_0_100,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
thf(c_0_101,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_102,negated_conjecture,
! [X1: $i > $i > $o,X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_49,c_0_97]) ).
thf(c_0_103,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_86]) ).
thf(c_0_104,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk8_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_99,c_0_23]) ).
thf(c_0_105,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(ef,[status(thm)],[c_0_100]) ).
thf(c_0_106,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_101]) ).
thf(c_0_107,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
thf(c_0_108,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_50]) ).
thf(c_0_109,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk8_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_106,c_0_23]) ).
thf(c_0_110,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(ef,[status(thm)],[c_0_107]) ).
thf(c_0_111,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_80]),c_0_86]) ).
thf(c_0_112,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_50]) ).
thf(c_0_113,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_114,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(ef,[status(thm)],[c_0_111]) ).
thf(c_0_115,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_80]),c_0_86]) ).
thf(c_0_116,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_113]) ).
thf(c_0_117,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred3_0 @ X3 @ ( esk5_1 @ epred3_0 ) )
| ~ ( epred3_0 @ X3 @ ( esk4_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_114]),c_0_28]) ).
thf(c_0_118,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 ) ),
inference(ef,[status(thm)],[c_0_115]) ).
thf(c_0_119,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ ( esk9_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_116,c_0_23]) ).
thf(c_0_120,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_28]) ).
thf(c_0_121,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_122,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_123,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_28]) ).
thf(c_0_124,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_121]) ).
thf(c_0_125,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_122]) ).
thf(c_0_126,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_123]),c_0_50]) ).
thf(c_0_127,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ ( esk8_1 @ X2 ) @ ( esk9_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_124,c_0_23]) ).
thf(c_0_128,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_129,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( X2 @ ( esk8_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_125,c_0_23]) ).
thf(c_0_130,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_80]),c_0_86]) ).
thf(c_0_131,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_120]),c_0_28]) ).
thf(c_0_132,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_128]) ).
thf(c_0_133,negated_conjecture,
! [X3: $i,X4: $i] :
( ( epred3_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_134,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_120]),c_0_28]) ).
thf(c_0_135,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_50]) ).
thf(c_0_136,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_137,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_138,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_132,c_0_23]) ).
thf(c_0_139,negated_conjecture,
! [X3: $i,X4: $i] :
( ( epred3_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_74]) ).
thf(c_0_140,negated_conjecture,
( ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_50]) ).
thf(c_0_141,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_136]) ).
thf(c_0_142,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_143,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_137]) ).
thf(c_0_144,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_28]) ).
thf(c_0_145,negated_conjecture,
epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_80]),c_0_86]) ).
thf(c_0_146,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_147,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_148,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_141,c_0_23]) ).
thf(c_0_149,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_142]) ).
thf(c_0_150,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_143,c_0_23]) ).
thf(c_0_151,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145])]) ).
thf(c_0_152,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_146]) ).
thf(c_0_153,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_154,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_147]) ).
thf(c_0_155,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_139]),c_0_28]) ).
thf(c_0_156,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_157,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_149,c_0_23]) ).
thf(c_0_158,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_139]),c_0_28]) ).
thf(c_0_159,negated_conjecture,
( ( epred4_0 @ ( esk9_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_80]),c_0_50]) ).
thf(c_0_160,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_152,c_0_23]) ).
thf(c_0_161,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_153]) ).
thf(c_0_162,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_154,c_0_23]) ).
thf(c_0_163,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_145])]) ).
thf(c_0_164,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_156]) ).
thf(c_0_165,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_139]),c_0_28]) ).
thf(c_0_166,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_145])]) ).
thf(c_0_167,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_49,c_0_159]) ).
thf(c_0_168,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_139]),c_0_28]) ).
thf(c_0_169,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_161,c_0_23]) ).
thf(c_0_170,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_139]),c_0_28]) ).
thf(c_0_171,negated_conjecture,
( ( epred4_0 @ ( esk9_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_80]),c_0_50]) ).
thf(c_0_172,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_164,c_0_23]) ).
thf(c_0_173,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_174,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_145])]) ).
thf(c_0_175,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_166]),c_0_50]),c_0_167]) ).
thf(c_0_176,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_145])]) ).
thf(c_0_177,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_139]),c_0_28]) ).
thf(c_0_178,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_145])]) ).
thf(c_0_179,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_49,c_0_171]) ).
thf(c_0_180,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_139]),c_0_28]) ).
thf(c_0_181,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_173]) ).
thf(c_0_182,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_80]),c_0_50]) ).
thf(c_0_183,negated_conjecture,
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_50]) ).
thf(c_0_184,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_185,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_145])]) ).
thf(c_0_186,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_178]),c_0_50]),c_0_179]) ).
thf(c_0_187,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_145])]) ).
thf(c_0_188,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_181,c_0_23]) ).
thf(c_0_189,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_182]),c_0_183]) ).
thf(c_0_190,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_184]) ).
thf(c_0_191,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ~ ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_80]),c_0_50]) ).
thf(c_0_192,negated_conjecture,
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_50]) ).
thf(c_0_193,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_50]) ).
thf(c_0_194,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_190,c_0_23]) ).
thf(c_0_195,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_191]),c_0_192]) ).
thf(c_0_196,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_197,negated_conjecture,
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_139]),c_0_145])]),c_0_28]) ).
thf(c_0_198,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_50]) ).
thf(c_0_199,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_196]) ).
thf(c_0_200,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred3_0 @ X3 @ ( esk5_1 @ epred3_0 ) )
| ~ ( epred3_0 @ X3 @ ( esk4_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_26,c_0_197]) ).
thf(c_0_201,negated_conjecture,
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_139]),c_0_145])]),c_0_28]) ).
thf(c_0_202,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_199,c_0_23]) ).
thf(c_0_203,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
thf(c_0_204,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_205,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_206,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_28]) ).
thf(c_0_207,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(cn,[status(thm)],[c_0_204]) ).
thf(c_0_208,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_209,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_205]) ).
thf(c_0_210,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_206]),c_0_50]) ).
thf(c_0_211,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_207,c_0_23]) ).
thf(c_0_212,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk4_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_208]) ).
thf(c_0_213,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_214,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_209,c_0_23]) ).
thf(c_0_215,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_139]),c_0_145])]) ).
thf(c_0_216,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_203]),c_0_28]) ).
thf(c_0_217,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ~ ( X2 @ ( esk8_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_212,c_0_23]) ).
thf(c_0_218,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_213]) ).
thf(c_0_219,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_203]),c_0_28]) ).
thf(c_0_220,negated_conjecture,
( ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk10_1 @ epred4_0 ) )
| ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_50]) ).
thf(c_0_221,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_189]),c_0_50]) ).
thf(c_0_222,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ~ ( X2 @ ( esk8_1 @ X2 ) @ ( esk10_1 @ X2 ) )
| ~ ( X2 @ ( esk11_1 @ X2 ) @ ( esk12_1 @ X2 ) ) ),
inference(sr,[status(thm)],[c_0_218,c_0_23]) ).
thf(c_0_223,negated_conjecture,
( ( epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_50]) ).
thf(c_0_224,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_225,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_80]),c_0_197]) ).
thf(c_0_226,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_195]),c_0_50]) ).
thf(c_0_227,negated_conjecture,
epred1_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_139]),c_0_145])]) ).
thf(c_0_228,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_224]) ).
thf(c_0_229,negated_conjecture,
epred3_0 @ ( esk4_1 @ epred3_0 ) @ ( esk5_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_139]),c_0_145])]),c_0_28]) ).
thf(c_0_230,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ) )
| ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk1_0 )
| ~ ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_80]),c_0_227])]) ).
thf(c_0_231,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_228,c_0_23]) ).
thf(c_0_232,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ X3 @ ( esk5_1 @ epred3_0 ) )
| ~ ( epred3_0 @ X3 @ ( esk4_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_26,c_0_229]) ).
thf(c_0_233,negated_conjecture,
epred3_0 @ ( esk3_1 @ epred3_0 ) @ ( esk4_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_139]),c_0_145])]),c_0_28]) ).
thf(c_0_234,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_235,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_28]),c_0_233])]) ).
thf(c_0_236,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_234]) ).
thf(c_0_237,negated_conjecture,
! [X3: $i] :
( ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_235]),c_0_50]) ).
thf(c_0_238,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( esk1_0 = esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( esk2_0 = esk1_0 )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_239,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_236,c_0_23]) ).
thf(c_0_240,negated_conjecture,
! [X3: $i] :
( ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_80]),c_0_227])]) ).
thf(c_0_241,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( esk2_0 = esk1_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[c_0_238]) ).
thf(c_0_242,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk8_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_232]),c_0_28]),c_0_233])]) ).
thf(c_0_243,negated_conjecture,
! [X3: $i] :
( ( epred4_0 @ X3 @ ( esk10_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk9_1 @ epred4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_139]),c_0_145])]) ).
thf(c_0_244,negated_conjecture,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ( X2 @ esk2_0 @ esk1_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk5_1 @ X2 ) )
| ~ ( X2 @ ( esk6_1 @ X2 ) @ ( esk7_1 @ X2 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(sr,[status(thm)],[c_0_241,c_0_23]) ).
thf(c_0_245,negated_conjecture,
( ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk8_1 @ epred4_0 ) @ ( esk9_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_50]) ).
thf(c_0_246,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ ( esk8_1 @ X1 ) @ ( esk9_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( X1 @ ( esk11_1 @ X1 ) @ ( esk12_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_232]),c_0_28]),c_0_233])]) ).
thf(c_0_247,negated_conjecture,
( ~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred4_0 @ ( esk11_1 @ epred4_0 ) @ ( esk12_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_50]) ).
thf(c_0_248,negated_conjecture,
~ ( epred3_0 @ ( esk6_1 @ epred3_0 ) @ ( esk7_1 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_80]),c_0_227])]) ).
thf(c_0_249,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_139]),c_0_145])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU473^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:42:00 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 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.GtPsF2BP2U/E---3.1_2676025.p
% 4.38/0.80 % Version: 3.5.1-ho
% 4.38/0.80 % Preprocessing class: HSSSSMSSMLSNHHN.
% 4.38/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.38/0.80 % Starting new_ho_10 with 1500s (5) cores
% 4.38/0.80 % Starting pre_casc_5 with 300s (1) cores
% 4.38/0.80 % Starting post_as_ho11 with 300s (1) cores
% 4.38/0.80 % Starting ho_unfolding_1 with 300s (1) cores
% 4.38/0.80 % post_as_ho11 with pid 2676040 completed with status 0
% 4.38/0.80 % Result found by post_as_ho11
% 4.38/0.80 % Preprocessing class: HSSSSMSSMLSNHHN.
% 4.38/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.38/0.80 % Starting new_ho_10 with 1500s (5) cores
% 4.38/0.80 % Starting pre_casc_5 with 300s (1) cores
% 4.38/0.80 % Starting post_as_ho11 with 300s (1) cores
% 4.38/0.80 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.38/0.80 % No SInE strategy applied
% 4.38/0.80 % Search class: HGUSF-FFMF11-SHHSMMBN
% 4.38/0.80 % partial match(2): HGHSF-FFMF11-SHSSMMBN
% 4.38/0.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 4.38/0.80 % Starting SubtermCWHack with 28s (1) cores
% 4.38/0.80 % SubtermCWHack with pid 2676046 completed with status 0
% 4.38/0.80 % Result found by SubtermCWHack
% 4.38/0.80 % Preprocessing class: HSSSSMSSMLSNHHN.
% 4.38/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.38/0.80 % Starting new_ho_10 with 1500s (5) cores
% 4.38/0.80 % Starting pre_casc_5 with 300s (1) cores
% 4.38/0.80 % Starting post_as_ho11 with 300s (1) cores
% 4.38/0.80 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.38/0.80 % No SInE strategy applied
% 4.38/0.80 % Search class: HGUSF-FFMF11-SHHSMMBN
% 4.38/0.80 % partial match(2): HGHSF-FFMF11-SHSSMMBN
% 4.38/0.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 4.38/0.80 % Starting SubtermCWHack with 28s (1) cores
% 4.38/0.80 % Preprocessing time : 0.001 s
% 4.38/0.80
% 4.38/0.80 % Proof found!
% 4.38/0.80 % SZS status Theorem
% 4.38/0.80 % SZS output start CNFRefutation
% See solution above
% 4.38/0.80 % Parsed axioms : 59
% 4.38/0.80 % Removed by relevancy pruning/SinE : 0
% 4.38/0.80 % Initial clauses : 74
% 4.38/0.80 % Removed in clause preprocessing : 29
% 4.38/0.80 % Initial clauses in saturation : 45
% 4.38/0.80 % Processed clauses : 4957
% 4.38/0.80 % ...of these trivial : 10
% 4.38/0.80 % ...subsumed : 1623
% 4.38/0.80 % ...remaining for further processing : 3324
% 4.38/0.80 % Other redundant clauses eliminated : 0
% 4.38/0.80 % Clauses deleted for lack of memory : 0
% 4.38/0.80 % Backward-subsumed : 2306
% 4.38/0.80 % Backward-rewritten : 512
% 4.38/0.80 % Generated clauses : 11309
% 4.38/0.80 % ...of the previous two non-redundant : 10715
% 4.38/0.80 % ...aggressively subsumed : 0
% 4.38/0.80 % Contextual simplify-reflections : 333
% 4.38/0.80 % Paramodulations : 11225
% 4.38/0.80 % Factorizations : 84
% 4.38/0.80 % NegExts : 0
% 4.38/0.80 % Equation resolutions : 0
% 4.38/0.80 % Disequality decompositions : 0
% 4.38/0.80 % Total rewrite steps : 1001
% 4.38/0.80 % ...of those cached : 995
% 4.38/0.80 % Propositional unsat checks : 0
% 4.38/0.80 % Propositional check models : 0
% 4.38/0.80 % Propositional check unsatisfiable : 0
% 4.38/0.80 % Propositional clauses : 0
% 4.38/0.80 % Propositional clauses after purity: 0
% 4.38/0.80 % Propositional unsat core size : 0
% 4.38/0.80 % Propositional preprocessing time : 0.000
% 4.38/0.80 % Propositional encoding time : 0.000
% 4.38/0.80 % Propositional solver time : 0.000
% 4.38/0.80 % Success case prop preproc time : 0.000
% 4.38/0.80 % Success case prop encoding time : 0.000
% 4.38/0.80 % Success case prop solver time : 0.000
% 4.38/0.80 % Current number of processed clauses : 506
% 4.38/0.80 % Positive orientable unit clauses : 6
% 4.38/0.80 % Positive unorientable unit clauses: 0
% 4.38/0.80 % Negative unit clauses : 6
% 4.38/0.80 % Non-unit-clauses : 494
% 4.38/0.80 % Current number of unprocessed clauses: 591
% 4.38/0.80 % ...number of literals in the above : 3864
% 4.38/0.80 % Current number of archived formulas : 0
% 4.38/0.80 % Current number of archived clauses : 2818
% 4.38/0.80 % Clause-clause subsumption calls (NU) : 520498
% 4.38/0.80 % Rec. Clause-clause subsumption calls : 56443
% 4.38/0.80 % Non-unit clause-clause subsumptions : 4167
% 4.38/0.80 % Unit Clause-clause subsumption calls : 2081
% 4.38/0.80 % Rewrite failures with RHS unbound : 0
% 4.38/0.80 % BW rewrite match attempts : 6
% 4.38/0.80 % BW rewrite match successes : 6
% 4.38/0.80 % Condensation attempts : 0
% 4.38/0.80 % Condensation successes : 0
% 4.38/0.80 % Termbank termtop insertions : 411739
% 4.38/0.80 % Search garbage collected termcells : 1472
% 4.38/0.80
% 4.38/0.80 % -------------------------------------------------
% 4.38/0.80 % User time : 0.530 s
% 4.38/0.80 % System time : 0.007 s
% 4.38/0.80 % Total time : 0.537 s
% 4.38/0.80 % Maximum resident set size: 4196 pages
% 4.38/0.80
% 4.38/0.80 % -------------------------------------------------
% 4.38/0.80 % User time : 0.533 s
% 4.38/0.80 % System time : 0.011 s
% 4.38/0.80 % Total time : 0.543 s
% 4.38/0.80 % Maximum resident set size: 4864 pages
% 4.38/0.80 % E exiting
%------------------------------------------------------------------------------