TSTP Solution File: LCL602^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL602^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:46:57 EDT 2024
% Result : Theorem 1.28s 0.62s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 27
% Syntax : Number of formulae : 181 ( 26 unt; 19 typ; 0 def)
% Number of atoms : 741 ( 15 equ; 0 cnn)
% Maximal formula atoms : 142 ( 4 avg)
% Number of connectives : 2398 ( 342 ~; 574 |; 38 &;1433 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 102 ( 102 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 302 ( 30 ^ 272 !; 0 ?; 302 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_28,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_29,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_31,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_33,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_37,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_49,type,
reflexive: ( $i > $i > $o ) > $o ).
thf(decl_52,type,
transitive: ( $i > $i > $o ) > $o ).
thf(decl_62,type,
epred1_0: $i > $i > $o ).
thf(decl_63,type,
epred2_0: $i > $o ).
thf(decl_64,type,
esk1_0: $i ).
thf(decl_65,type,
esk2_0: $i ).
thf(decl_66,type,
esk3_0: $i ).
thf(decl_67,type,
esk4_0: $i ).
thf(decl_68,type,
esk5_0: $i ).
thf(decl_69,type,
esk6_0: $i ).
thf(decl_70,type,
esk7_0: $i ).
thf(decl_71,type,
esk8_0: $i ).
thf(decl_72,type,
esk9_2: ( $i > $o ) > $i > $i ).
thf(decl_73,type,
esk10_2: ( $i > $o ) > $i > $i ).
thf(mimpl,axiom,
( mimpl
= ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(mnot,axiom,
( mnot
= ( ^ [X2: $i > $o,X3: $i] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(mbox,axiom,
( mbox
= ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
! [X12: $i] :
( ( X10 @ X1 @ X12 )
=> ( X11 @ X12 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X11: $i > $o] :
! [X15: $i] : ( X11 @ X15 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(reflexive,axiom,
( reflexive
= ( ^ [X10: $i > $i > $o] :
! [X1: $i] : ( X10 @ X1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET008^2.ax',reflexive) ).
thf(transitive,axiom,
( transitive
= ( ^ [X10: $i > $i > $o] :
! [X1: $i,X36: $i,X33: $i] :
( ( ( X10 @ X1 @ X36 )
& ( X10 @ X36 @ X33 ) )
=> ( X10 @ X1 @ X33 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET008^2.ax',transitive) ).
thf(thm,conjecture,
! [X10: $i > $i > $o] :
( ! [X28: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ X10 @ X28 ) @ ( mbox @ X10 @ ( mbox @ X10 @ X28 ) ) ) )
& ( mvalid @ ( mimpl @ ( mbox @ X10 @ X28 ) @ X28 ) ) )
<=> ( ( reflexive @ X10 )
& ( transitive @ X10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(c_0_8,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimpl]) ).
thf(c_0_9,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_10,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_11,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_12,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X12: $i] :
( ( Z0 @ Z2 @ X12 )
=> ( Z1 @ X12 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_13,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X15: $i] : ( Z0 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_14,plain,
( reflexive
= ( ^ [Z0: $i > $i > $o] :
! [X1: $i] : ( Z0 @ X1 @ X1 ) ) ),
inference(fof_simplification,[status(thm)],[reflexive]) ).
thf(c_0_15,plain,
( transitive
= ( ^ [Z0: $i > $i > $o] :
! [X1: $i,X36: $i,X33: $i] :
( ( ( Z0 @ X1 @ X36 )
& ( Z0 @ X36 @ X33 ) )
=> ( Z0 @ X1 @ X33 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive]) ).
thf(c_0_16,negated_conjecture,
~ ! [X10: $i > $i > $o] :
( ! [X28: $i > $o] :
( ! [X60: $i] :
( ~ ! [X57: $i] :
( ( X10 @ X60 @ X57 )
=> ( X28 @ X57 ) )
| ! [X59: $i] :
( ( X10 @ X60 @ X59 )
=> ! [X58: $i] :
( ( X10 @ X59 @ X58 )
=> ( X28 @ X58 ) ) ) )
& ! [X62: $i] :
( ~ ! [X61: $i] :
( ( X10 @ X62 @ X61 )
=> ( X28 @ X61 ) )
| ( X28 @ X62 ) ) )
<=> ( ! [X63: $i] : ( X10 @ X63 @ X63 )
& ! [X64: $i,X65: $i,X66: $i] :
( ( ( X10 @ X64 @ X65 )
& ( X10 @ X65 @ X66 ) )
=> ( X10 @ X64 @ X66 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]) ).
thf(c_0_17,negated_conjecture,
! [X70: $i,X74: $i,X79: $i > $o,X80: $i,X82: $i,X83: $i,X84: $i,X86: $i,X87: $i,X88: $i,X89: $i] :
( ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ~ ( epred1_0 @ esk1_0 @ X70 )
| ( epred2_0 @ X70 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ~ ( epred1_0 @ esk1_0 @ X70 )
| ( epred2_0 @ X70 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ~ ( epred1_0 @ esk1_0 @ X70 )
| ( epred2_0 @ X70 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X70 )
| ( epred2_0 @ X70 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X70 )
| ( epred2_0 @ X70 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X70 )
| ( epred2_0 @ X70 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X74 )
| ( epred2_0 @ X74 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ( epred1_0 @ X86 @ X86 )
| ( epred1_0 @ X80 @ ( esk9_2 @ X79 @ X80 ) )
| ~ ( epred1_0 @ X80 @ X82 )
| ~ ( epred1_0 @ X82 @ X83 )
| ( X79 @ X83 ) )
& ( ~ ( epred1_0 @ X87 @ X88 )
| ~ ( epred1_0 @ X88 @ X89 )
| ( epred1_0 @ X87 @ X89 )
| ( epred1_0 @ X80 @ ( esk9_2 @ X79 @ X80 ) )
| ~ ( epred1_0 @ X80 @ X82 )
| ~ ( epred1_0 @ X82 @ X83 )
| ( X79 @ X83 ) )
& ( ( epred1_0 @ X86 @ X86 )
| ~ ( X79 @ ( esk9_2 @ X79 @ X80 ) )
| ~ ( epred1_0 @ X80 @ X82 )
| ~ ( epred1_0 @ X82 @ X83 )
| ( X79 @ X83 ) )
& ( ~ ( epred1_0 @ X87 @ X88 )
| ~ ( epred1_0 @ X88 @ X89 )
| ( epred1_0 @ X87 @ X89 )
| ~ ( X79 @ ( esk9_2 @ X79 @ X80 ) )
| ~ ( epred1_0 @ X80 @ X82 )
| ~ ( epred1_0 @ X82 @ X83 )
| ( X79 @ X83 ) )
& ( ( epred1_0 @ X86 @ X86 )
| ( epred1_0 @ X84 @ ( esk10_2 @ X79 @ X84 ) )
| ( X79 @ X84 ) )
& ( ~ ( epred1_0 @ X87 @ X88 )
| ~ ( epred1_0 @ X88 @ X89 )
| ( epred1_0 @ X87 @ X89 )
| ( epred1_0 @ X84 @ ( esk10_2 @ X79 @ X84 ) )
| ( X79 @ X84 ) )
& ( ( epred1_0 @ X86 @ X86 )
| ~ ( X79 @ ( esk10_2 @ X79 @ X84 ) )
| ( X79 @ X84 ) )
& ( ~ ( epred1_0 @ X87 @ X88 )
| ~ ( epred1_0 @ X88 @ X89 )
| ( epred1_0 @ X87 @ X89 )
| ~ ( X79 @ ( esk10_2 @ X79 @ X84 ) )
| ( X79 @ X84 ) ) ),
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_16])])])])])]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i] :
( ( epred1_0 @ X1 @ X1 )
| ( X2 @ X3 )
| ~ ( X2 @ ( esk10_2 @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i] :
( ( epred1_0 @ X1 @ X1 )
| ( epred1_0 @ X3 @ ( esk10_2 @ X2 @ X3 ) )
| ( X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_20,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ X1 @ X1 )
| ( epred1_0 @ X3 @ X3 )
| ( epred1_0 @ X12 @ X12 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i,X3: $i] :
( ( epred1_0 @ X1 @ X1 )
| ( epred1_0 @ X3 @ X3 ) ),
inference(ef,[status(thm)],[c_0_20]) ).
thf(c_0_22,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
! [X1: $i] : ( epred1_0 @ X1 @ X1 ),
inference(ef,[status(thm)],[c_0_21]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
thf(c_0_26,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23])]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_28,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_31,negated_conjecture,
! [X2: $i > $o,X1: $i,X3: $i,X15: $i,X13: $i,X12: $i,X20: $i] :
( ( epred1_0 @ X1 @ X12 )
| ( epred1_0 @ X13 @ ( esk9_2 @ X2 @ X13 ) )
| ( X2 @ X20 )
| ~ ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ X13 @ X15 )
| ~ ( epred1_0 @ X15 @ X20 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_32,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_26]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_23])]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_23])]) ).
thf(c_0_35,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_23])]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_23])]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_40,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_34]) ).
thf(c_0_41,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_36]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_23])]) ).
thf(c_0_43,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_23])]) ).
thf(c_0_44,negated_conjecture,
! [X1: $i,X3: $i,X2: $i > $o,X12: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X1 @ X3 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_23]),c_0_43]) ).
thf(c_0_47,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X1 @ esk3_0 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
thf(c_0_48,negated_conjecture,
! [X1: $i,X3: $i,X2: $i > $o,X12: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X1 @ X3 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X15: $i,X13: $i,X12: $i,X20: $i] :
( ( epred1_0 @ X1 @ X12 )
| ( X2 @ X20 )
| ~ ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X3 @ X12 )
| ~ ( X2 @ ( esk9_2 @ X2 @ X13 ) )
| ~ ( epred1_0 @ X13 @ X15 )
| ~ ( epred1_0 @ X15 @ X20 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_50,negated_conjecture,
! [X2: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( X2 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
thf(c_0_51,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X1 @ esk3_0 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
thf(c_0_52,negated_conjecture,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk1_0 @ X13 )
| ~ ( epred1_0 @ X13 @ X1 )
| ~ ( epred1_0 @ X15 @ X12 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X2: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( X2 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
thf(c_0_54,negated_conjecture,
! [X1: $i,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk2_0 @ X1 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
thf(c_0_55,negated_conjecture,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk1_0 @ X13 )
| ~ ( epred1_0 @ X13 @ X1 )
| ~ ( epred1_0 @ X15 @ X12 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_53]) ).
thf(c_0_56,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
thf(c_0_57,negated_conjecture,
! [X1: $i,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk2_0 @ X1 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
thf(c_0_58,negated_conjecture,
! [X1: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X1 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_32]) ).
thf(c_0_60,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
thf(c_0_62,negated_conjecture,
! [X3: $i,X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X3 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_23])]) ).
thf(c_0_63,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
thf(c_0_64,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_23])]) ).
thf(c_0_65,negated_conjecture,
! [X1: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_66,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X1 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_41]) ).
thf(c_0_67,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_68,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
thf(c_0_69,negated_conjecture,
! [X3: $i,X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X3 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_23])]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_46]) ).
thf(c_0_71,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_23])]) ).
thf(c_0_72,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_23]) ).
thf(c_0_73,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
thf(c_0_74,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk7_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_72]) ).
thf(c_0_75,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_23]) ).
thf(c_0_76,negated_conjecture,
! [X1: $i,X3: $i,X2: $i > $o,X12: $i] :
( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
| ( epred1_0 @ X1 @ X3 )
| ( epred2_0 @ esk4_0 )
| ( X2 @ esk8_0 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
thf(c_0_77,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
| ( epred1_0 @ X1 @ esk8_0 )
| ( epred2_0 @ esk4_0 )
| ( X2 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_72]) ).
thf(c_0_78,negated_conjecture,
! [X2: $i > $o] :
( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred2_0 @ esk4_0 )
| ( X2 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
thf(c_0_79,negated_conjecture,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ X1 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk6_0 @ X13 )
| ~ ( epred1_0 @ X13 @ X1 )
| ~ ( epred1_0 @ X15 @ X12 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_78]) ).
thf(c_0_80,negated_conjecture,
! [X1: $i,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ X1 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_75]) ).
thf(c_0_81,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_80,c_0_72]) ).
thf(c_0_82,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_83,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X1 @ esk8_0 )
| ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_72]) ).
thf(c_0_84,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_23])]) ).
thf(c_0_85,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_75]) ).
thf(c_0_86,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_87,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
thf(c_0_88,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_23])]) ).
thf(c_0_89,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_23]) ).
thf(c_0_90,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ esk4_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_85]) ).
thf(c_0_91,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_89]) ).
thf(c_0_92,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_23]) ).
thf(c_0_93,negated_conjecture,
! [X1: $i,X3: $i,X2: $i > $o,X12: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ X1 @ X3 )
| ( epred2_0 @ esk4_0 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
thf(c_0_94,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ X1 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_89]) ).
thf(c_0_95,negated_conjecture,
! [X2: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ( X2 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_92]) ).
thf(c_0_96,negated_conjecture,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X1 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk1_0 @ X13 )
| ~ ( epred1_0 @ X13 @ X1 )
| ~ ( epred1_0 @ X15 @ X12 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_95]) ).
thf(c_0_97,negated_conjecture,
! [X1: $i,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X1 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_92]) ).
thf(c_0_98,negated_conjecture,
! [X1: $i,X3: $i] :
( ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_99,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_97,c_0_89]) ).
thf(c_0_100,negated_conjecture,
! [X3: $i,X1: $i] :
( ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk1_0 @ X3 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_23])]) ).
thf(c_0_101,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_99,c_0_89]) ).
thf(c_0_102,negated_conjecture,
! [X1: $i,X3: $i] :
( ( epred2_0 @ esk4_0 )
| ( epred2_0 @ X1 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_85]) ).
thf(c_0_103,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_92]) ).
thf(c_0_104,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_105,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
thf(c_0_106,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ X1 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_23])]) ).
thf(c_0_107,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_23]) ).
thf(c_0_108,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_109,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ esk4_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk4_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_85]) ).
thf(c_0_110,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_111,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X1 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_23])]) ).
thf(c_0_112,negated_conjecture,
epred2_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_109,c_0_23]) ).
thf(c_0_113,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_23])]) ).
thf(c_0_114,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_115,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_116,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
thf(c_0_117,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_112])]) ).
thf(c_0_118,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X1 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_23])]) ).
thf(c_0_119,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_23])]) ).
thf(c_0_120,negated_conjecture,
epred1_0 @ esk7_0 @ esk8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_63]),c_0_117]) ).
thf(c_0_121,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_112])]) ).
thf(c_0_122,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_112])]) ).
thf(c_0_123,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk7_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_120]) ).
thf(c_0_124,negated_conjecture,
epred1_0 @ esk6_0 @ esk7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_70]),c_0_122]) ).
thf(c_0_125,negated_conjecture,
! [X1: $i,X3: $i,X2: $i > $o,X12: $i] :
( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
| ( epred1_0 @ X1 @ X3 )
| ( X2 @ esk8_0 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
thf(c_0_126,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
| ( epred1_0 @ X1 @ esk8_0 )
| ( X2 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_125,c_0_120]) ).
thf(c_0_127,negated_conjecture,
! [X2: $i > $o] :
( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( X2 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_126,c_0_124]) ).
thf(c_0_128,negated_conjecture,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk6_0 @ X13 )
| ~ ( epred1_0 @ X13 @ X1 )
| ~ ( epred1_0 @ X15 @ X12 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_127]) ).
thf(c_0_129,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_130,negated_conjecture,
! [X1: $i,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ X1 )
| ( epred1_0 @ X3 @ X12 )
| ~ ( epred1_0 @ esk7_0 @ X1 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_124]) ).
thf(c_0_131,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_23])]) ).
thf(c_0_132,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_130,c_0_120]) ).
thf(c_0_133,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_134,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_131]) ).
thf(c_0_135,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X1 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_120]) ).
thf(c_0_136,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_23])]) ).
thf(c_0_137,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_112])]) ).
thf(c_0_138,negated_conjecture,
epred1_0 @ esk6_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_135,c_0_124]) ).
thf(c_0_139,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_112])]) ).
thf(c_0_140,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_141,negated_conjecture,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
| ( epred1_0 @ X3 @ X12 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X3 @ X13 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).
thf(c_0_142,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_138])]) ).
thf(c_0_143,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_112])]) ).
thf(c_0_144,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk1_0 @ X1 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_23])]) ).
thf(c_0_145,negated_conjecture,
! [X1: $i,X3: $i,X2: $i > $o,X12: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ X1 @ X3 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
thf(c_0_146,negated_conjecture,
epred1_0 @ esk2_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_138])]) ).
thf(c_0_147,negated_conjecture,
( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_148,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_112])]) ).
thf(c_0_149,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ X1 @ esk3_0 )
| ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
thf(c_0_150,negated_conjecture,
( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_23])]) ).
thf(c_0_151,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 )
| ~ ( epred1_0 @ esk1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_138])]) ).
thf(c_0_152,negated_conjecture,
! [X2: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( X2 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_149,c_0_142]) ).
thf(c_0_153,negated_conjecture,
( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_112])]) ).
thf(c_0_154,negated_conjecture,
! [X2: $i > $o] :
( ( epred2_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( X2 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
thf(c_0_155,negated_conjecture,
~ ( epred2_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_138])]) ).
thf(c_0_156,negated_conjecture,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ X3 )
| ( epred2_0 @ X12 )
| ~ ( epred1_0 @ esk1_0 @ X13 )
| ~ ( epred1_0 @ X13 @ X12 )
| ~ ( epred1_0 @ X15 @ X3 )
| ~ ( epred1_0 @ X1 @ X15 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_154]),c_0_155]) ).
thf(c_0_157,negated_conjecture,
! [X1: $i,X12: $i,X3: $i,X13: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ X3 )
| ( epred2_0 @ X12 )
| ~ ( epred1_0 @ esk2_0 @ X12 )
| ~ ( epred1_0 @ X13 @ X3 )
| ~ ( epred1_0 @ X1 @ X13 ) ),
inference(spm,[status(thm)],[c_0_156,c_0_142]) ).
thf(c_0_158,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ X3 )
| ~ ( epred1_0 @ X12 @ X3 )
| ~ ( epred1_0 @ X1 @ X12 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_146]),c_0_155]) ).
thf(c_0_159,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ X1 @ esk3_0 )
| ~ ( epred1_0 @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_158,c_0_146]) ).
thf(c_0_160,negated_conjecture,
epred1_0 @ esk1_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_159,c_0_142]) ).
thf(c_0_161,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_160]),c_0_155]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL602^1 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.37 % Computer : n020.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon May 20 03:32:08 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.22/0.48 Running higher-order theorem proving
% 0.22/0.48 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/benchmark/theBenchmark.p
% 1.28/0.62 # Version: 3.1.0-ho
% 1.28/0.62 # Preprocessing class: HSMSSMSSMLSNHSN.
% 1.28/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.28/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.28/0.62 # Starting post_as_ho3 with 300s (1) cores
% 1.28/0.62 # Starting post_as_ho11 with 300s (1) cores
% 1.28/0.62 # Starting full_lambda_8 with 300s (1) cores
% 1.28/0.62 # new_ho_10_cnf2 with pid 23567 completed with status 0
% 1.28/0.62 # Result found by new_ho_10_cnf2
% 1.28/0.62 # Preprocessing class: HSMSSMSSMLSNHSN.
% 1.28/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.28/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.28/0.62 # No SInE strategy applied
% 1.28/0.62 # Search class: HGHNF-FFMF22-SHSSMSBN
% 1.28/0.62 # partial match(1): HGHNF-FFMF21-SHSSMSBN
% 1.28/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.28/0.62 # Starting new_ho_9 with 811s (1) cores
% 1.28/0.62 # Starting new_ho_10_cnf2 with 151s (1) cores
% 1.28/0.62 # Starting pre_casc_8 with 136s (1) cores
% 1.28/0.62 # Starting post_as_ho2 with 136s (1) cores
% 1.28/0.62 # Starting post_as_ho1 with 136s (1) cores
% 1.28/0.62 # post_as_ho1 with pid 23578 completed with status 0
% 1.28/0.62 # Result found by post_as_ho1
% 1.28/0.62 # Preprocessing class: HSMSSMSSMLSNHSN.
% 1.28/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.28/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.28/0.62 # No SInE strategy applied
% 1.28/0.62 # Search class: HGHNF-FFMF22-SHSSMSBN
% 1.28/0.62 # partial match(1): HGHNF-FFMF21-SHSSMSBN
% 1.28/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.28/0.62 # Starting new_ho_9 with 811s (1) cores
% 1.28/0.62 # Starting new_ho_10_cnf2 with 151s (1) cores
% 1.28/0.62 # Starting pre_casc_8 with 136s (1) cores
% 1.28/0.62 # Starting post_as_ho2 with 136s (1) cores
% 1.28/0.62 # Starting post_as_ho1 with 136s (1) cores
% 1.28/0.62 # Preprocessing time : 0.002 s
% 1.28/0.62 # Presaturation interreduction done
% 1.28/0.62
% 1.28/0.62 # Proof found!
% 1.28/0.62 # SZS status Theorem
% 1.28/0.62 # SZS output start CNFRefutation
% See solution above
% 1.28/0.62 # Parsed axioms : 78
% 1.28/0.62 # Removed by relevancy pruning/SinE : 0
% 1.28/0.62 # Initial clauses : 73
% 1.28/0.62 # Removed in clause preprocessing : 41
% 1.28/0.62 # Initial clauses in saturation : 32
% 1.28/0.62 # Processed clauses : 907
% 1.28/0.62 # ...of these trivial : 0
% 1.28/0.62 # ...subsumed : 393
% 1.28/0.62 # ...remaining for further processing : 514
% 1.28/0.62 # Other redundant clauses eliminated : 0
% 1.28/0.62 # Clauses deleted for lack of memory : 0
% 1.28/0.62 # Backward-subsumed : 197
% 1.28/0.62 # Backward-rewritten : 217
% 1.28/0.62 # Generated clauses : 2640
% 1.28/0.62 # ...of the previous two non-redundant : 2440
% 1.28/0.62 # ...aggressively subsumed : 0
% 1.28/0.62 # Contextual simplify-reflections : 31
% 1.28/0.62 # Paramodulations : 2632
% 1.28/0.62 # Factorizations : 8
% 1.28/0.62 # NegExts : 0
% 1.28/0.62 # Equation resolutions : 0
% 1.28/0.62 # Disequality decompositions : 0
% 1.28/0.62 # Total rewrite steps : 294
% 1.28/0.62 # ...of those cached : 281
% 1.28/0.62 # Propositional unsat checks : 0
% 1.28/0.62 # Propositional check models : 0
% 1.28/0.62 # Propositional check unsatisfiable : 0
% 1.28/0.62 # Propositional clauses : 0
% 1.28/0.62 # Propositional clauses after purity: 0
% 1.28/0.62 # Propositional unsat core size : 0
% 1.28/0.62 # Propositional preprocessing time : 0.000
% 1.28/0.62 # Propositional encoding time : 0.000
% 1.28/0.62 # Propositional solver time : 0.000
% 1.28/0.62 # Success case prop preproc time : 0.000
% 1.28/0.62 # Success case prop encoding time : 0.000
% 1.28/0.62 # Success case prop solver time : 0.000
% 1.28/0.62 # Current number of processed clauses : 68
% 1.28/0.62 # Positive orientable unit clauses : 10
% 1.28/0.62 # Positive unorientable unit clauses: 0
% 1.28/0.62 # Negative unit clauses : 1
% 1.28/0.62 # Non-unit-clauses : 57
% 1.28/0.62 # Current number of unprocessed clauses: 228
% 1.28/0.62 # ...number of literals in the above : 1459
% 1.28/0.62 # Current number of archived formulas : 0
% 1.28/0.62 # Current number of archived clauses : 446
% 1.28/0.62 # Clause-clause subsumption calls (NU) : 9166
% 1.28/0.62 # Rec. Clause-clause subsumption calls : 1817
% 1.28/0.62 # Non-unit clause-clause subsumptions : 614
% 1.28/0.62 # Unit Clause-clause subsumption calls : 71
% 1.28/0.62 # Rewrite failures with RHS unbound : 0
% 1.28/0.62 # BW rewrite match attempts : 35
% 1.28/0.62 # BW rewrite match successes : 10
% 1.28/0.62 # Condensation attempts : 0
% 1.28/0.62 # Condensation successes : 0
% 1.28/0.62 # Termbank termtop insertions : 67840
% 1.28/0.62 # Search garbage collected termcells : 810
% 1.28/0.62
% 1.28/0.62 # -------------------------------------------------
% 1.28/0.62 # User time : 0.115 s
% 1.28/0.62 # System time : 0.008 s
% 1.28/0.62 # Total time : 0.123 s
% 1.28/0.62 # Maximum resident set size: 2124 pages
% 1.28/0.62
% 1.28/0.62 # -------------------------------------------------
% 1.28/0.62 # User time : 0.563 s
% 1.28/0.62 # System time : 0.030 s
% 1.28/0.62 # Total time : 0.593 s
% 1.28/0.62 # Maximum resident set size: 1816 pages
% 1.28/0.62 % E---3.1 exiting
% 1.28/0.62 % E exiting
%------------------------------------------------------------------------------