TSTP Solution File: SYO330^5 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SYO330^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 Jun 24 20:30:42 EDT 2024
% Result : Theorem 1.13s 0.55s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 53 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 167 ( 0 equ; 0 cnn)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 694 ( 105 ~; 126 |; 43 &; 401 @)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 111 ( 18 ^ 93 !; 0 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cNUMBER: $i > $o ).
thf(decl_23,type,
cODD: $i > $o ).
thf(decl_24,type,
cEVEN: $i > $o ).
thf(decl_25,type,
cS: $i > $i ).
thf(decl_26,type,
c0: $i ).
thf(decl_27,type,
epred1_0: $o ).
thf(decl_28,type,
esk1_0: $i ).
thf(decl_29,type,
esk2_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(cEVEN_ODD_4,conjecture,
( ( ( cEVEN @ c0 )
& ! [X1: $i] :
( ( cEVEN @ X1 )
=> ( cEVEN @ ( cS @ ( cS @ X1 ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ! [X1: $i] :
( ( cODD @ X1 )
=> ( cODD @ ( cS @ ( cS @ X1 ) ) ) )
& ! [X2: $i > $o,X3: $i > $o] :
( ( ( X2 @ c0 )
& ( X3 @ c0 )
& ! [X4: $i] :
( ( ( X2 @ X4 )
& ( X3 @ X4 ) )
=> ( ( X2 @ ( cS @ X4 ) )
& ( X3 @ ( cS @ X4 ) ) ) ) )
=> ! [X4: $i] :
( ( X2 @ X4 )
& ( X3 @ X4 ) ) )
& ! [X1: $i] :
( ( cNUMBER @ X1 )
<=> ( ( cEVEN @ X1 )
| ( cODD @ X1 ) ) ) )
=> ! [X1: $i] : ( cNUMBER @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.TU7IjLu7N0/E---3.1_30181.p',cEVEN_ODD_4) ).
thf(c_0_1,plain,
( epred1_0
<=> ( ( cEVEN @ c0 )
& ! [X1: $i] :
( ( cEVEN @ X1 )
=> ( cEVEN @ ( cS @ ( cS @ X1 ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ! [X1: $i] :
( ( cODD @ X1 )
=> ( cODD @ ( cS @ ( cS @ X1 ) ) ) )
& ! [X2: $i > $o,X3: $i > $o] :
( ( ( X2 @ c0 )
& ( X3 @ c0 )
& ! [X4: $i] :
( ( ( X2 @ X4 )
& ( X3 @ X4 ) )
=> ( ( X2 @ ( cS @ X4 ) )
& ( X3 @ ( cS @ X4 ) ) ) ) )
=> ! [X4: $i] :
( ( X2 @ X4 )
& ( X3 @ X4 ) ) )
& ! [X1: $i] :
( ( cNUMBER @ X1 )
<=> ( ( cEVEN @ X1 )
| ( cODD @ X1 ) ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
( epred1_0
=> ( ( cEVEN @ c0 )
& ! [X1: $i] :
( ( cEVEN @ X1 )
=> ( cEVEN @ ( cS @ ( cS @ X1 ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ! [X1: $i] :
( ( cODD @ X1 )
=> ( cODD @ ( cS @ ( cS @ X1 ) ) ) )
& ! [X2: $i > $o,X3: $i > $o] :
( ( ( X2 @ c0 )
& ( X3 @ c0 )
& ! [X4: $i] :
( ( ( X2 @ X4 )
& ( X3 @ X4 ) )
=> ( ( X2 @ ( cS @ X4 ) )
& ( X3 @ ( cS @ X4 ) ) ) ) )
=> ! [X4: $i] :
( ( X2 @ X4 )
& ( X3 @ X4 ) ) )
& ! [X1: $i] :
( ( cNUMBER @ X1 )
<=> ( ( cEVEN @ X1 )
| ( cODD @ X1 ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
~ ( epred1_0
=> ! [X1: $i] : ( cNUMBER @ X1 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cEVEN_ODD_4]),c_0_1]) ).
thf(c_0_4,plain,
! [X14: $i,X15: $i,X16: $i > $o,X17: $i > $o,X19: $i,X20: $i,X21: $i] :
( ( ( cEVEN @ c0 )
| ~ epred1_0 )
& ( ~ ( cEVEN @ X14 )
| ( cEVEN @ ( cS @ ( cS @ X14 ) ) )
| ~ epred1_0 )
& ( ( cODD @ ( cS @ c0 ) )
| ~ epred1_0 )
& ( ~ ( cODD @ X15 )
| ( cODD @ ( cS @ ( cS @ X15 ) ) )
| ~ epred1_0 )
& ( ( X16 @ X19 )
| ( X16 @ ( esk2_2 @ X16 @ X17 ) )
| ~ ( X16 @ c0 )
| ~ ( X17 @ c0 )
| ~ epred1_0 )
& ( ( X17 @ X20 )
| ( X16 @ ( esk2_2 @ X16 @ X17 ) )
| ~ ( X16 @ c0 )
| ~ ( X17 @ c0 )
| ~ epred1_0 )
& ( ( X16 @ X19 )
| ( X17 @ ( esk2_2 @ X16 @ X17 ) )
| ~ ( X16 @ c0 )
| ~ ( X17 @ c0 )
| ~ epred1_0 )
& ( ( X17 @ X20 )
| ( X17 @ ( esk2_2 @ X16 @ X17 ) )
| ~ ( X16 @ c0 )
| ~ ( X17 @ c0 )
| ~ epred1_0 )
& ( ( X16 @ X19 )
| ~ ( X16 @ ( cS @ ( esk2_2 @ X16 @ X17 ) ) )
| ~ ( X17 @ ( cS @ ( esk2_2 @ X16 @ X17 ) ) )
| ~ ( X16 @ c0 )
| ~ ( X17 @ c0 )
| ~ epred1_0 )
& ( ( X17 @ X20 )
| ~ ( X16 @ ( cS @ ( esk2_2 @ X16 @ X17 ) ) )
| ~ ( X17 @ ( cS @ ( esk2_2 @ X16 @ X17 ) ) )
| ~ ( X16 @ c0 )
| ~ ( X17 @ c0 )
| ~ epred1_0 )
& ( ~ ( cNUMBER @ X21 )
| ( cEVEN @ X21 )
| ( cODD @ X21 )
| ~ epred1_0 )
& ( ~ ( cEVEN @ X21 )
| ( cNUMBER @ X21 )
| ~ epred1_0 )
& ( ~ ( cODD @ X21 )
| ( cNUMBER @ X21 )
| ~ epred1_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(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).
thf(c_0_5,negated_conjecture,
( epred1_0
& ~ ( cNUMBER @ esk1_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_6,plain,
! [X1: $i,X3: $i > $o,X2: $i > $o] :
( ( X2 @ X1 )
| ( X2 @ ( esk2_2 @ X3 @ X2 ) )
| ~ ( X3 @ c0 )
| ~ ( X2 @ c0 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X1: $i] :
( ( cNUMBER @ X1 )
| ~ ( cEVEN @ X1 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_9,plain,
! [X1: $i,X3: $i > $o,X2: $i > $o] :
( ( X2 @ ( esk2_2 @ X3 @ X2 ) )
| ( X2 @ X1 )
| ~ ( X3 @ c0 )
| ~ ( X2 @ c0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
thf(c_0_10,plain,
! [X1: $i] :
( ( cNUMBER @ X1 )
| ~ ( cEVEN @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).
thf(c_0_11,plain,
( ( cEVEN @ c0 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_12,plain,
! [X1: $i,X3: $i > $o,X2: $i > $o] :
( ( X2 @ X1 )
| ( X3 @ ( esk2_2 @ X3 @ X2 ) )
| ~ ( X3 @ c0 )
| ~ ( X2 @ c0 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_13,plain,
! [X1: $i] :
( ( cNUMBER @ X1 )
| ~ ( cODD @ X1 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_14,plain,
! [X1: $i,X22: $i > $i,X2: $i > $o] :
( ( X2
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( X22 @ Z0 ) )
@ X2 ) )
| ( X2 @ X1 )
| ~ ( cEVEN @ ( X22 @ c0 ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_15,plain,
cEVEN @ c0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7])]) ).
thf(c_0_16,plain,
! [X1: $i,X2: $i > $o,X3: $i > $o] :
( ( X2 @ ( esk2_2 @ X2 @ X3 ) )
| ( X3 @ X1 )
| ~ ( X2 @ c0 )
| ~ ( X3 @ c0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_7])]) ).
thf(c_0_17,plain,
! [X1: $i] :
( ( cNUMBER @ X1 )
| ~ ( cODD @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_7])]) ).
thf(c_0_18,plain,
( ( cODD @ ( cS @ c0 ) )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_19,plain,
! [X1: $i,X2: $i > $o] :
( ( X2 @ ( esk2_2 @ cNUMBER @ X2 ) )
| ( X2 @ X1 )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_20,plain,
! [X1: $i,X22: $i > $i,X2: $i > $o] :
( ( cNUMBER
@ ( X22
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( X22 @ Z0 ) )
@ X2 ) ) )
| ( X2 @ X1 )
| ~ ( cODD @ ( X22 @ c0 ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,plain,
cODD @ ( cS @ c0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_7])]) ).
thf(c_0_22,plain,
! [X1: $i,X22: $i > $i] :
( ( cNUMBER
@ ( X22
@ ( esk2_2 @ cNUMBER
@ ^ [Z0: $i] : ( cNUMBER @ ( X22 @ Z0 ) ) ) ) )
| ( cNUMBER @ ( X22 @ X1 ) )
| ~ ( cEVEN @ ( X22 @ c0 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
thf(c_0_23,plain,
! [X1: $i,X2: $i > $o] :
( ( cNUMBER
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ X2 ) ) )
| ( X2 @ X1 )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_24,plain,
cNUMBER @ c0,
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
thf(c_0_25,plain,
! [X1: $i,X2: $i > $o,X3: $i > $o] :
( ( X2 @ X1 )
| ~ ( X2 @ ( cS @ ( esk2_2 @ X2 @ X3 ) ) )
| ~ ( X3 @ ( cS @ ( esk2_2 @ X2 @ X3 ) ) )
| ~ ( X2 @ c0 )
| ~ ( X3 @ c0 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_26,plain,
! [X1: $i] :
( ( cNUMBER
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ) )
| ( cNUMBER @ X1 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_27,plain,
! [X1: $i,X22: $i > $i,X2: $i > $o] :
( ( X2
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( X22 @ Z0 ) )
@ X2 ) )
| ( X2 @ X1 )
| ~ ( cODD @ ( X22 @ c0 ) )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
thf(c_0_28,plain,
! [X1: $i,X3: $i > $o,X2: $i > $o] :
( ( X2 @ X1 )
| ~ ( X3 @ ( cS @ ( esk2_2 @ X2 @ X3 ) ) )
| ~ ( X2 @ ( cS @ ( esk2_2 @ X2 @ X3 ) ) )
| ~ ( X3 @ c0 )
| ~ ( X2 @ c0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_7])]) ).
thf(c_0_29,plain,
( cNUMBER
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ) ),
inference(ef,[status(thm)],[c_0_26]) ).
thf(c_0_30,plain,
! [X1: $i,X2: $i > $o] :
( ( X2
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ X2 ) )
| ( X2 @ X1 )
| ~ ( X2 @ c0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
thf(c_0_31,plain,
! [X1: $i] :
( ( cNUMBER @ ( cS @ X1 ) )
| ~ ( cNUMBER
@ ( cS
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ) ) )
| ~ ( cNUMBER @ ( cS @ c0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24])]) ).
thf(c_0_32,plain,
! [X1: $i] :
( ( cODD @ ( cS @ ( cS @ X1 ) ) )
| ~ ( cODD @ X1 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_33,plain,
! [X1: $i] :
( ( cEVEN @ X1 )
| ( cODD @ X1 )
| ~ ( cNUMBER @ X1 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_34,plain,
! [X1: $i] :
( ( cNUMBER
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) )
| ( cNUMBER @ X1 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
thf(c_0_35,plain,
! [X1: $i] :
( ( cEVEN @ ( cS @ ( cS @ X1 ) ) )
| ~ ( cEVEN @ X1 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_36,plain,
! [X1: $i] :
( ( cNUMBER @ ( cS @ X1 ) )
| ~ ( cODD
@ ( cS
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ) ) )
| ~ ( cNUMBER @ ( cS @ c0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_17]) ).
thf(c_0_37,plain,
! [X1: $i] :
( ( cODD @ ( cS @ ( cS @ X1 ) ) )
| ~ ( cODD @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_7])]) ).
thf(c_0_38,plain,
! [X1: $i] :
( ( cEVEN @ X1 )
| ( cODD @ X1 )
| ~ ( cNUMBER @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_7])]) ).
thf(c_0_39,plain,
( cNUMBER
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ),
inference(ef,[status(thm)],[c_0_34]) ).
thf(c_0_40,plain,
! [X1: $i] :
( ( cNUMBER @ ( cS @ X1 ) )
| ~ ( cEVEN
@ ( cS
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ) ) )
| ~ ( cNUMBER @ ( cS @ c0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_10]) ).
thf(c_0_41,plain,
! [X1: $i] :
( ( cEVEN @ ( cS @ ( cS @ X1 ) ) )
| ~ ( cEVEN @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_7])]) ).
thf(c_0_42,plain,
! [X1: $i,X3: $i > $o,X2: $i > $o] :
( ( X2 @ X1 )
| ~ ( X3 @ ( cS @ ( esk2_2 @ X3 @ X2 ) ) )
| ~ ( X2 @ ( cS @ ( esk2_2 @ X3 @ X2 ) ) )
| ~ ( X3 @ c0 )
| ~ ( X2 @ c0 )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_43,plain,
! [X1: $i] :
( ( cNUMBER @ ( cS @ X1 ) )
| ~ ( cODD
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) )
| ~ ( cNUMBER @ ( cS @ c0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_44,plain,
( ( cEVEN
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) )
| ( cODD
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_45,plain,
! [X1: $i] :
( ( cNUMBER @ ( cS @ X1 ) )
| ~ ( cEVEN
@ ( esk2_2
@ ^ [Z0: $i] : ( cNUMBER @ ( cS @ Z0 ) )
@ cNUMBER ) )
| ~ ( cNUMBER @ ( cS @ c0 ) ) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_46,plain,
! [X1: $i,X3: $i > $o,X2: $i > $o] :
( ( X2 @ X1 )
| ~ ( X3 @ ( cS @ ( esk2_2 @ X3 @ X2 ) ) )
| ~ ( X2 @ ( cS @ ( esk2_2 @ X3 @ X2 ) ) )
| ~ ( X3 @ c0 )
| ~ ( X2 @ c0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_7])]) ).
thf(c_0_47,plain,
! [X1: $i] :
( ( cNUMBER @ ( cS @ X1 ) )
| ~ ( cNUMBER @ ( cS @ c0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
thf(c_0_48,plain,
! [X1: $i,X2: $i > $o] :
( ( X2 @ X1 )
| ~ ( X2
@ ( cS
@ ( esk2_2
@ ^ [Z0: $i] : $true
@ X2 ) ) )
| ~ ( X2 @ c0 ) ),
inference(primitive_enumeration,[status(thm)],[c_0_46]) ).
thf(c_0_49,plain,
! [X1: $i] : ( cNUMBER @ ( cS @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_17]),c_0_21])]) ).
thf(c_0_50,negated_conjecture,
~ ( cNUMBER @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_51,plain,
! [X1: $i] : ( cNUMBER @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_24])]) ).
thf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SYO330^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jun 23 07:24:38 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.15/0.41 Running higher-order theorem proving
% 0.15/0.41 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.TU7IjLu7N0/E---3.1_30181.p
% 1.13/0.55 # Version: 3.2.0-ho
% 1.13/0.55 # Preprocessing class: HSMSSMSSSSSNSSA.
% 1.13/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.55 # Starting post_as_ho1 with 1500s (5) cores
% 1.13/0.55 # Starting post_as_ho12 with 300s (1) cores
% 1.13/0.55 # Starting new_ho_3 with 300s (1) cores
% 1.13/0.55 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 1.13/0.55 # post_as_ho1 with pid 30260 completed with status 0
% 1.13/0.55 # Result found by post_as_ho1
% 1.13/0.55 # Preprocessing class: HSMSSMSSSSSNSSA.
% 1.13/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.55 # Starting post_as_ho1 with 1500s (5) cores
% 1.13/0.55 # No SInE strategy applied
% 1.13/0.55 # Search class: HGUNF-FFSF21-SSSFFSBN
% 1.13/0.55 # partial match(1): HGUSF-FFSF21-SSSFFSBN
% 1.13/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.13/0.55 # Starting post_as_ho12 with 811s (1) cores
% 1.13/0.55 # Starting post_as_ho1 with 151s (1) cores
% 1.13/0.55 # Starting post_as_ho10 with 136s (1) cores
% 1.13/0.55 # Starting ehoh_best_nonlift_nonlambdatoforall with 136s (1) cores
% 1.13/0.55 # Starting ho_unfolding_6 with 136s (1) cores
% 1.13/0.55 # post_as_ho1 with pid 30265 completed with status 9
% 1.13/0.55 # Starting lpo8_s with 130s (1) cores
% 1.13/0.55 # lpo8_s with pid 30272 completed with status 9
% 1.13/0.55 # post_as_ho12 with pid 30264 completed with status 0
% 1.13/0.55 # Result found by post_as_ho12
% 1.13/0.55 # Preprocessing class: HSMSSMSSSSSNSSA.
% 1.13/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.55 # Starting post_as_ho1 with 1500s (5) cores
% 1.13/0.55 # No SInE strategy applied
% 1.13/0.55 # Search class: HGUNF-FFSF21-SSSFFSBN
% 1.13/0.55 # partial match(1): HGUSF-FFSF21-SSSFFSBN
% 1.13/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.13/0.55 # Starting post_as_ho12 with 811s (1) cores
% 1.13/0.55 # Preprocessing time : 0.001 s
% 1.13/0.55 # Presaturation interreduction done
% 1.13/0.55
% 1.13/0.55 # Proof found!
% 1.13/0.55 # SZS status Theorem
% 1.13/0.55 # SZS output start CNFRefutation
% See solution above
% 1.13/0.55 # Parsed axioms : 6
% 1.13/0.55 # Removed by relevancy pruning/SinE : 0
% 1.13/0.55 # Initial clauses : 20
% 1.13/0.55 # Removed in clause preprocessing : 5
% 1.13/0.55 # Initial clauses in saturation : 15
% 1.13/0.55 # Processed clauses : 416
% 1.13/0.55 # ...of these trivial : 9
% 1.13/0.55 # ...subsumed : 117
% 1.13/0.55 # ...remaining for further processing : 290
% 1.13/0.55 # Other redundant clauses eliminated : 48
% 1.13/0.55 # Clauses deleted for lack of memory : 0
% 1.13/0.55 # Backward-subsumed : 79
% 1.13/0.55 # Backward-rewritten : 102
% 1.13/0.55 # Generated clauses : 3392
% 1.13/0.55 # ...of the previous two non-redundant : 2670
% 1.13/0.55 # ...aggressively subsumed : 0
% 1.13/0.55 # Contextual simplify-reflections : 4
% 1.13/0.55 # Paramodulations : 3120
% 1.13/0.55 # Factorizations : 78
% 1.13/0.55 # NegExts : 0
% 1.13/0.55 # Equation resolutions : 141
% 1.13/0.55 # Disequality decompositions : 0
% 1.13/0.55 # Total rewrite steps : 845
% 1.13/0.55 # ...of those cached : 756
% 1.13/0.55 # Propositional unsat checks : 0
% 1.13/0.55 # Propositional check models : 0
% 1.13/0.55 # Propositional check unsatisfiable : 0
% 1.13/0.55 # Propositional clauses : 0
% 1.13/0.55 # Propositional clauses after purity: 0
% 1.13/0.55 # Propositional unsat core size : 0
% 1.13/0.55 # Propositional preprocessing time : 0.000
% 1.13/0.55 # Propositional encoding time : 0.000
% 1.13/0.55 # Propositional solver time : 0.000
% 1.13/0.55 # Success case prop preproc time : 0.000
% 1.13/0.55 # Success case prop encoding time : 0.000
% 1.13/0.55 # Success case prop solver time : 0.000
% 1.13/0.55 # Current number of processed clauses : 94
% 1.13/0.55 # Positive orientable unit clauses : 18
% 1.13/0.55 # Positive unorientable unit clauses: 0
% 1.13/0.55 # Negative unit clauses : 2
% 1.13/0.55 # Non-unit-clauses : 74
% 1.13/0.55 # Current number of unprocessed clauses: 1582
% 1.13/0.55 # ...number of literals in the above : 5639
% 1.13/0.55 # Current number of archived formulas : 0
% 1.13/0.55 # Current number of archived clauses : 196
% 1.13/0.55 # Clause-clause subsumption calls (NU) : 2875
% 1.13/0.55 # Rec. Clause-clause subsumption calls : 2278
% 1.13/0.55 # Non-unit clause-clause subsumptions : 158
% 1.13/0.55 # Unit Clause-clause subsumption calls : 162
% 1.13/0.55 # Rewrite failures with RHS unbound : 0
% 1.13/0.55 # BW rewrite match attempts : 149
% 1.13/0.55 # BW rewrite match successes : 86
% 1.13/0.55 # Condensation attempts : 0
% 1.13/0.55 # Condensation successes : 0
% 1.13/0.55 # Termbank termtop insertions : 271278
% 1.13/0.55 # Search garbage collected termcells : 316
% 1.13/0.55
% 1.13/0.55 # -------------------------------------------------
% 1.13/0.55 # User time : 0.186 s
% 1.13/0.55 # System time : 0.015 s
% 1.13/0.55 # Total time : 0.201 s
% 1.13/0.55 # Maximum resident set size: 1884 pages
% 1.13/0.55
% 1.13/0.55 # -------------------------------------------------
% 1.13/0.55 # User time : 0.564 s
% 1.13/0.55 # System time : 0.036 s
% 1.13/0.55 # Total time : 0.600 s
% 1.13/0.55 # Maximum resident set size: 1704 pages
% 1.13/0.55 % E---3.1 exiting
% 1.13/0.55 % E exiting
%------------------------------------------------------------------------------