TSTP Solution File: SYO277^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO277^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:45:20 EDT 2024
% Result : Theorem 3.97s 0.97s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
esk1_0: $i ).
thf(decl_23,type,
esk2_0: $i ).
thf(decl_24,type,
epred1_0: $i > $o ).
thf(decl_25,type,
epred2_0: $i > $i > $o ).
thf(decl_26,type,
esk3_1: ( $i > $i > $o ) > $i ).
thf(decl_27,type,
esk4_0: $i ).
thf(decl_28,type,
esk5_0: $i ).
thf(decl_29,type,
esk6_0: $i ).
thf(decl_42,type,
esk19_0: $i ).
thf(decl_43,type,
esk20_0: $i ).
thf(decl_45,type,
esk22_0: $i ).
thf(decl_47,type,
esk24_0: $i ).
thf(decl_50,type,
esk27_0: $i ).
thf(decl_51,type,
esk28_0: $i ).
thf(decl_52,type,
esk29_0: $i ).
thf(decl_53,type,
esk30_0: $i ).
thf(decl_64,type,
esk41_0: $i ).
thf(decl_68,type,
esk45_0: $i ).
thf(decl_71,type,
esk48_0: $i ).
thf(decl_77,type,
esk54_0: $i ).
thf(decl_86,type,
esk63_0: $i ).
thf(cTHM47D,conjecture,
! [X1: $i,X2: $i] :
( ! [X3: $i > $o] :
( ( X3 @ X1 )
=> ( X3 @ X2 ) )
<=> ! [X4: $i > $i > $o] :
( ! [X5: $i] : ( X4 @ X5 @ X5 )
=> ( X4 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM47D) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i,X2: $i] :
( ! [X3: $i > $o] :
( ( X3 @ X1 )
=> ( X3 @ X2 ) )
<=> ! [X4: $i > $i > $o] :
( ! [X5: $i] : ( X4 @ X5 @ X5 )
=> ( X4 @ X1 @ X2 ) ) ),
inference(assume_negation,[status(cth)],[cTHM47D]) ).
thf(c_0_2,negated_conjecture,
! [X15: $i,X16: $i > $o,X17: $i > $i > $o] :
( ( ( epred2_0 @ X15 @ X15 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred2_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred2_0 @ X15 @ X15 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred2_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ~ ( X16 @ esk1_0 )
| ( X16 @ esk2_0 )
| ~ ( X17 @ ( esk3_1 @ X17 ) @ ( esk3_1 @ X17 ) )
| ( X17 @ 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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: $i > $o,X4: $i > $i > $o] :
( ( X3 @ esk2_0 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] : ( Z0 != esk1_0 ) )
= esk1_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] : ( Z1 != esk2_0 ) )
= esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_6,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ( ( ^ [Z0: $i,Z1: $i] : ( Z0 != esk1_0 ) )
!= ( ^ [Z0: $i,Z1: $i] : ( Z1 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(ext_sup,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ( epred1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X8 @ esk2_0 )
| ( X3 @ esk2_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk5_0 != esk2_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X3: $i > $o] :
( ( epred1_0 @ esk1_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_8]) ).
thf(c_0_11,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk5_0 )
| ( esk1_0 = esk4_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
epred1_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_8]) ).
thf(c_0_13,negated_conjecture,
! [X3: $i > $o] :
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk5_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_14,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk5_0 )
| ( esk1_0 = esk4_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
thf(c_0_16,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X4 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i] :
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk5_0 )
| ( esk1_0 = esk2_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_19,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk5_0 )
| ( esk1_0 = esk2_0 )
| ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
thf(c_0_20,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk4_0 )
| ( esk1_0 = esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
thf(c_0_21,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk5_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
thf(c_0_22,negated_conjecture,
! [X23: $i > $i > $o,X22: $i > $i > $o,X3: $i > $o] :
( ( X23 @ esk1_0 @ esk2_0 )
| ( X22 @ esk1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( ( X23
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X23 @ Z0 @ Z1 )
| ( X22 @ Z0 @ Z1 ) ) )
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X23 @ Z0 @ Z1 )
| ( X22 @ Z0 @ Z1 ) ) ) )
| ( X22
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X23 @ Z0 @ Z1 )
| ( X22 @ Z0 @ Z1 ) ) )
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X23 @ Z0 @ Z1 )
| ( X22 @ Z0 @ Z1 ) ) ) ) )
| ~ ( X3 @ esk1_0 ) ),
inference(primitive_enumeration,[status(thm)],[c_0_3]) ).
thf(c_0_23,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk4_0 )
| ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
thf(c_0_24,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk5_0 )
| ( esk2_0 != esk4_0 ) ),
inference(ef,[status(thm)],[c_0_20]) ).
thf(c_0_25,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_6]) ).
thf(c_0_26,negated_conjecture,
! [X9: $i > $i > $o,X4: $i > $i > $o,X3: $i > $o] :
( ( X4 @ esk1_0 @ esk2_0 )
| ( X9 @ esk1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X4
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X9 @ Z0 @ Z1 )
| ( X4 @ Z0 @ Z1 ) ) )
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X9 @ Z0 @ Z1 )
| ( X4 @ Z0 @ Z1 ) ) ) )
| ~ ( X3 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_27,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk5_0 )
| ~ ( epred2_0 @ esk2_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_20]),c_0_24]) ).
thf(c_0_28,negated_conjecture,
! [X1: $i] :
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk4_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
thf(c_0_29,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X8 @ esk2_0 )
| ( X3 @ esk2_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk6_0 != esk2_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_25]) ).
thf(c_0_30,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X4 @ Z0 @ Z1 )
| ( Z1 != esk2_0 ) ) )
= esk2_0 )
| ( X4 @ esk1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_26]) ).
thf(c_0_31,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk4_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_32,negated_conjecture,
! [X9: $i > $i > $o,X4: $i > $i > $o,X3: $i > $o] :
( ( X4 @ esk1_0 @ esk2_0 )
| ( X9 @ esk1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X9
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X9 @ Z0 @ Z1 )
| ( X4 @ Z0 @ Z1 ) ) )
@ ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X9 @ Z0 @ Z1 )
| ( X4 @ Z0 @ Z1 ) ) ) )
| ~ ( X3 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_22]) ).
thf(c_0_33,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk6_0 )
| ( esk1_0 = esk4_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_29]) ).
thf(c_0_34,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X4 @ Z0 @ Z1 )
| ( Z1 != esk2_0 ) ) )
= esk2_0 )
| ( esk2_0 = esk5_0 )
| ( X4 @ esk4_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_35,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( Z0 != esk1_0 )
| ( X4 @ Z0 @ Z1 ) ) )
= esk1_0 )
| ( X4 @ esk1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_32]) ).
thf(c_0_36,negated_conjecture,
! [X3: $i > $o] :
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk6_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
thf(c_0_37,negated_conjecture,
! [X8: $i > $o,X3: $i > $o] :
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk2_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ~ ( X8 @ esk4_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35])])]),c_0_31]) ).
thf(c_0_38,negated_conjecture,
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk6_0 )
| ( esk1_0 = esk4_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_12]) ).
thf(c_0_39,negated_conjecture,
! [X3: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( X3 @ esk2_0 )
| ~ ( X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
thf(c_0_40,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
thf(c_0_41,negated_conjecture,
! [X1: $i] :
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk6_0 )
| ( esk1_0 = esk2_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_38]) ).
thf(c_0_42,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk6_0 )
| ( esk1_0 = esk2_0 )
| ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
thf(c_0_43,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk2_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_39]),c_0_40]) ).
thf(c_0_44,negated_conjecture,
( ( esk2_0 = esk6_0 )
| ( esk1_0 = esk4_0 )
| ( esk1_0 = esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_41]),c_0_42]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i] :
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk5_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_43]) ).
thf(c_0_46,negated_conjecture,
( ( esk1_0 = esk2_0 )
| ( esk2_0 = esk5_0 )
| ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
thf(c_0_47,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk6_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_44]) ).
thf(c_0_48,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( esk1_0 = esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_45]),c_0_46]) ).
thf(c_0_49,negated_conjecture,
( ( esk2_0 = esk6_0 )
| ( esk1_0 = esk4_0 )
| ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_47]) ).
thf(c_0_50,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk6_0 )
| ( esk2_0 != esk4_0 ) ),
inference(ef,[status(thm)],[c_0_44]) ).
thf(c_0_51,negated_conjecture,
( ( esk2_0 = esk4_0 )
| ( esk2_0 = esk5_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
thf(c_0_52,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk2_0 = esk6_0 )
| ~ ( epred2_0 @ esk2_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X1: $i] :
( ( esk2_0 = esk6_0 )
| ( esk1_0 = esk4_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_47]) ).
thf(c_0_54,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ~ ( epred2_0 @ esk1_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_51]),c_0_40]) ).
thf(c_0_55,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_48]) ).
thf(c_0_56,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk2_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ( esk1_0 != esk4_0 )
| ( esk2_0 != esk5_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_9]) ).
thf(c_0_57,negated_conjecture,
( ( esk2_0 = esk6_0 )
| ( esk1_0 = esk4_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_58,negated_conjecture,
( ( esk2_0 = esk5_0 )
| ~ ( epred2_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i] :
( ( esk2_0 = esk5_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_55]) ).
thf(c_0_60,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk2_0 = esk6_0 )
| ( esk2_0 = esk4_0 )
| ( X3 @ esk2_0 )
| ( X8 @ esk2_0 )
| ( esk2_0 != esk5_0 )
| ~ ( X3 @ esk4_0 )
| ~ ( X8 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_61,negated_conjecture,
esk2_0 = esk5_0,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_62,negated_conjecture,
( ( esk2_0 = esk6_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_57]) ).
thf(c_0_63,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk4_0 = esk5_0 )
| ( esk5_0 = esk6_0 )
| ( X3 @ esk5_0 )
| ( X8 @ esk5_0 )
| ~ ( X8 @ esk4_0 )
| ~ ( X3 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]),c_0_61]),c_0_61]),c_0_61])]) ).
thf(c_0_64,negated_conjecture,
( ( esk5_0 = esk6_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(rw,[status(thm)],[c_0_62,c_0_61]) ).
thf(c_0_65,negated_conjecture,
! [X3: $i > $o] :
( ( esk5_0 = esk6_0 )
| ( esk4_0 = esk5_0 )
| ( epred1_0 @ esk5_0 )
| ( X3 @ esk5_0 )
| ~ ( X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
thf(c_0_66,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk5_0 ) ),
inference(rw,[status(thm)],[c_0_14,c_0_61]) ).
thf(c_0_67,negated_conjecture,
( ( esk4_0 = esk5_0 )
| ( esk5_0 = esk6_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_64]) ).
thf(c_0_68,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk5_0 )
| ~ ( epred1_0 @ esk5_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_61]),c_0_61]) ).
thf(c_0_69,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk5_0 )
| ( X4 @ esk1_0 @ esk5_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_61]),c_0_61]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i] :
( ( esk5_0 = esk6_0 )
| ( esk4_0 = esk5_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_71,negated_conjecture,
( ( esk5_0 = esk6_0 )
| ( esk4_0 = esk5_0 )
| ~ ( epred2_0 @ esk1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
thf(c_0_72,negated_conjecture,
( ( esk1_0 = esk4_0 )
| ( esk5_0 = esk6_0 ) ),
inference(rw,[status(thm)],[c_0_57,c_0_61]) ).
thf(c_0_73,negated_conjecture,
( ( esk4_0 = esk5_0 )
| ( esk5_0 = esk6_0 )
| ( esk1_0 = esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
thf(c_0_74,negated_conjecture,
( ( esk5_0 = esk6_0 )
| ( esk4_0 = esk5_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_75,negated_conjecture,
( ( esk5_0 = esk6_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_74]) ).
thf(c_0_76,negated_conjecture,
( ( esk5_0 = esk6_0 )
| ~ ( epred2_0 @ esk1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_75]) ).
thf(c_0_77,negated_conjecture,
( ( esk5_0 = esk6_0 )
| ~ ( epred2_0 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_72]) ).
thf(c_0_78,negated_conjecture,
! [X1: $i] :
( ( esk5_0 = esk6_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_75]) ).
thf(c_0_79,negated_conjecture,
esk5_0 = esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_74]),c_0_78]) ).
thf(c_0_80,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk6_0 )
| ( X3 @ esk6_0 )
| ( X8 @ esk6_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_61]),c_0_61]),c_0_61]),c_0_79]),c_0_79]),c_0_79]) ).
thf(c_0_81,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk5_0 )
| ( X3 @ esk5_0 )
| ( X8 @ esk5_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_61]),c_0_61]),c_0_61]),c_0_61])]) ).
thf(c_0_82,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk6_0 )
| ( X8 @ esk6_0 )
| ( X3 @ esk6_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk19_0 != esk6_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_80]),c_0_61]),c_0_79]) ).
thf(c_0_83,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk6_0 )
| ( X3 @ esk6_0 )
| ( X8 @ esk6_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_79]),c_0_79]),c_0_79]) ).
thf(c_0_84,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk6_0 )
| ( esk6_0 = esk19_0 )
| ( X3 @ esk6_0 )
| ( X8 @ esk6_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_82]),c_0_83]) ).
thf(c_0_85,negated_conjecture,
! [X3: $i > $o] :
( ( esk6_0 = esk19_0 )
| ( esk1_0 = esk6_0 )
| ( epred1_0 @ esk6_0 )
| ( X3 @ esk6_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_12]) ).
thf(c_0_86,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk6_0 ) ),
inference(rw,[status(thm)],[c_0_66,c_0_79]) ).
thf(c_0_87,negated_conjecture,
( ( esk1_0 = esk6_0 )
| ( esk6_0 = esk19_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_85,c_0_12]) ).
thf(c_0_88,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk6_0 )
| ~ ( epred1_0 @ esk6_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_79]),c_0_79]) ).
thf(c_0_89,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk6_0 )
| ( X4 @ esk1_0 @ esk6_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_79]),c_0_79]) ).
thf(c_0_90,negated_conjecture,
! [X1: $i] :
( ( esk6_0 = esk19_0 )
| ( esk1_0 = esk6_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
thf(c_0_91,negated_conjecture,
( ( esk6_0 = esk19_0 )
| ( esk1_0 = esk6_0 )
| ~ ( epred2_0 @ esk1_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
thf(c_0_92,negated_conjecture,
( ( esk6_0 = esk19_0 )
| ( esk1_0 = esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
thf(c_0_93,negated_conjecture,
( ( esk6_0 = esk19_0 )
| ( epred1_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_92]) ).
thf(c_0_94,negated_conjecture,
( ( esk6_0 = esk19_0 )
| ~ ( epred2_0 @ esk1_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_93]) ).
thf(c_0_95,negated_conjecture,
( ( esk6_0 = esk19_0 )
| ~ ( epred2_0 @ esk6_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_92]) ).
thf(c_0_96,negated_conjecture,
! [X1: $i] :
( ( esk6_0 = esk19_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_93]) ).
thf(c_0_97,negated_conjecture,
esk6_0 = esk19_0,
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
thf(c_0_98,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk19_0 )
| ( X3 @ esk19_0 )
| ( X8 @ esk19_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_97]),c_0_97]),c_0_97]) ).
thf(c_0_99,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk19_0 )
| ( X8 @ esk19_0 )
| ( X3 @ esk19_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk20_0 != esk19_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_98]),c_0_61]),c_0_79]),c_0_97]) ).
thf(c_0_100,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk19_0 )
| ( X3 @ esk19_0 )
| ( X8 @ esk19_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_97]),c_0_97]),c_0_97]) ).
thf(c_0_101,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk19_0 )
| ( esk19_0 = esk20_0 )
| ( X3 @ esk19_0 )
| ( X8 @ esk19_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_99]),c_0_100]) ).
thf(c_0_102,negated_conjecture,
! [X3: $i > $o] :
( ( esk19_0 = esk20_0 )
| ( esk1_0 = esk19_0 )
| ( epred1_0 @ esk19_0 )
| ( X3 @ esk19_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_12]) ).
thf(c_0_103,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk19_0 ) ),
inference(rw,[status(thm)],[c_0_86,c_0_97]) ).
thf(c_0_104,negated_conjecture,
( ( esk1_0 = esk19_0 )
| ( esk19_0 = esk20_0 )
| ( epred1_0 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_12]) ).
thf(c_0_105,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk19_0 )
| ~ ( epred1_0 @ esk19_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_97]),c_0_97]) ).
thf(c_0_106,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk19_0 )
| ( X4 @ esk1_0 @ esk19_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_97]),c_0_97]) ).
thf(c_0_107,negated_conjecture,
! [X1: $i] :
( ( esk19_0 = esk20_0 )
| ( esk1_0 = esk19_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
thf(c_0_108,negated_conjecture,
( ( esk19_0 = esk20_0 )
| ( esk1_0 = esk19_0 )
| ~ ( epred2_0 @ esk1_0 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_104]) ).
thf(c_0_109,negated_conjecture,
( ( esk19_0 = esk20_0 )
| ( esk1_0 = esk19_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
thf(c_0_110,negated_conjecture,
( ( esk19_0 = esk20_0 )
| ( epred1_0 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_109]) ).
thf(c_0_111,negated_conjecture,
( ( esk19_0 = esk20_0 )
| ~ ( epred2_0 @ esk1_0 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_110]) ).
thf(c_0_112,negated_conjecture,
! [X1: $i] :
( ( esk19_0 = esk20_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_110]) ).
thf(c_0_113,negated_conjecture,
esk19_0 = esk20_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_109]),c_0_112]) ).
thf(c_0_114,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk20_0 )
| ( X3 @ esk20_0 )
| ( X8 @ esk20_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_113]),c_0_113]),c_0_113]) ).
thf(c_0_115,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk20_0 )
| ( X8 @ esk20_0 )
| ( X3 @ esk20_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk22_0 != esk20_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_114]),c_0_61]),c_0_79]),c_0_97]),c_0_113]) ).
thf(c_0_116,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk20_0 )
| ( X3 @ esk20_0 )
| ( X8 @ esk20_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_113]),c_0_113]),c_0_113]) ).
thf(c_0_117,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk20_0 )
| ( esk20_0 = esk22_0 )
| ( X3 @ esk20_0 )
| ( X8 @ esk20_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_115]),c_0_116]) ).
thf(c_0_118,negated_conjecture,
! [X3: $i > $o] :
( ( esk20_0 = esk22_0 )
| ( esk1_0 = esk20_0 )
| ( epred1_0 @ esk20_0 )
| ( X3 @ esk20_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_12]) ).
thf(c_0_119,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk20_0 ) ),
inference(rw,[status(thm)],[c_0_103,c_0_113]) ).
thf(c_0_120,negated_conjecture,
( ( esk1_0 = esk20_0 )
| ( esk20_0 = esk22_0 )
| ( epred1_0 @ esk20_0 ) ),
inference(spm,[status(thm)],[c_0_118,c_0_12]) ).
thf(c_0_121,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk20_0 )
| ~ ( epred1_0 @ esk20_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_113]),c_0_113]) ).
thf(c_0_122,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk20_0 )
| ( X4 @ esk1_0 @ esk20_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_113]),c_0_113]) ).
thf(c_0_123,negated_conjecture,
! [X1: $i] :
( ( esk20_0 = esk22_0 )
| ( esk1_0 = esk20_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
thf(c_0_124,negated_conjecture,
( ( esk20_0 = esk22_0 )
| ( esk1_0 = esk20_0 )
| ~ ( epred2_0 @ esk1_0 @ esk20_0 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_120]) ).
thf(c_0_125,negated_conjecture,
( ( esk20_0 = esk22_0 )
| ( esk1_0 = esk20_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
thf(c_0_126,negated_conjecture,
( ( esk20_0 = esk22_0 )
| ( epred1_0 @ esk20_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_125]) ).
thf(c_0_127,negated_conjecture,
( ( esk20_0 = esk22_0 )
| ~ ( epred2_0 @ esk1_0 @ esk20_0 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_126]) ).
thf(c_0_128,negated_conjecture,
! [X1: $i] :
( ( esk20_0 = esk22_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_126]) ).
thf(c_0_129,negated_conjecture,
esk20_0 = esk22_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_125]),c_0_128]) ).
thf(c_0_130,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk22_0 )
| ( X3 @ esk22_0 )
| ( X8 @ esk22_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_129]),c_0_129]),c_0_129]) ).
thf(c_0_131,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk22_0 )
| ( X8 @ esk22_0 )
| ( X3 @ esk22_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk24_0 != esk22_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_130]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]) ).
thf(c_0_132,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk22_0 )
| ( X3 @ esk22_0 )
| ( X8 @ esk22_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_129]),c_0_129]),c_0_129]) ).
thf(c_0_133,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk22_0 )
| ( esk22_0 = esk24_0 )
| ( X3 @ esk22_0 )
| ( X8 @ esk22_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_131]),c_0_132]) ).
thf(c_0_134,negated_conjecture,
! [X3: $i > $o] :
( ( esk22_0 = esk24_0 )
| ( esk1_0 = esk22_0 )
| ( epred1_0 @ esk22_0 )
| ( X3 @ esk22_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_12]) ).
thf(c_0_135,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk22_0 ) ),
inference(rw,[status(thm)],[c_0_119,c_0_129]) ).
thf(c_0_136,negated_conjecture,
( ( esk1_0 = esk22_0 )
| ( esk22_0 = esk24_0 )
| ( epred1_0 @ esk22_0 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_12]) ).
thf(c_0_137,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk22_0 )
| ~ ( epred1_0 @ esk22_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_129]),c_0_129]) ).
thf(c_0_138,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk22_0 )
| ( X4 @ esk1_0 @ esk22_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_129]),c_0_129]) ).
thf(c_0_139,negated_conjecture,
! [X1: $i] :
( ( esk22_0 = esk24_0 )
| ( esk1_0 = esk22_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
thf(c_0_140,negated_conjecture,
( ( esk22_0 = esk24_0 )
| ( esk1_0 = esk22_0 )
| ~ ( epred2_0 @ esk1_0 @ esk22_0 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_136]) ).
thf(c_0_141,negated_conjecture,
( ( esk22_0 = esk24_0 )
| ( esk1_0 = esk22_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
thf(c_0_142,negated_conjecture,
( ( esk22_0 = esk24_0 )
| ( epred1_0 @ esk22_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_141]) ).
thf(c_0_143,negated_conjecture,
( ( esk22_0 = esk24_0 )
| ~ ( epred2_0 @ esk1_0 @ esk22_0 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_142]) ).
thf(c_0_144,negated_conjecture,
( ( esk22_0 = esk24_0 )
| ~ ( epred2_0 @ esk22_0 @ esk22_0 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_141]) ).
thf(c_0_145,negated_conjecture,
! [X1: $i] :
( ( esk22_0 = esk24_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_142]) ).
thf(c_0_146,negated_conjecture,
esk22_0 = esk24_0,
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
thf(c_0_147,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk24_0 )
| ( X3 @ esk24_0 )
| ( X8 @ esk24_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_146]),c_0_146]),c_0_146]) ).
thf(c_0_148,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk24_0 )
| ( X8 @ esk24_0 )
| ( X3 @ esk24_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk27_0 != esk24_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_147]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]) ).
thf(c_0_149,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk24_0 )
| ( X3 @ esk24_0 )
| ( X8 @ esk24_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_146]),c_0_146]),c_0_146]) ).
thf(c_0_150,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk24_0 )
| ( esk24_0 = esk27_0 )
| ( X3 @ esk24_0 )
| ( X8 @ esk24_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_148]),c_0_149]) ).
thf(c_0_151,negated_conjecture,
! [X3: $i > $o] :
( ( esk24_0 = esk27_0 )
| ( esk1_0 = esk24_0 )
| ( epred1_0 @ esk24_0 )
| ( X3 @ esk24_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_150,c_0_12]) ).
thf(c_0_152,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk24_0 ) ),
inference(rw,[status(thm)],[c_0_135,c_0_146]) ).
thf(c_0_153,negated_conjecture,
( ( esk1_0 = esk24_0 )
| ( esk24_0 = esk27_0 )
| ( epred1_0 @ esk24_0 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_12]) ).
thf(c_0_154,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk24_0 )
| ~ ( epred1_0 @ esk24_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_146]),c_0_146]) ).
thf(c_0_155,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk24_0 )
| ( X4 @ esk1_0 @ esk24_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_146]),c_0_146]) ).
thf(c_0_156,negated_conjecture,
! [X1: $i] :
( ( esk24_0 = esk27_0 )
| ( esk1_0 = esk24_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
thf(c_0_157,negated_conjecture,
( ( esk24_0 = esk27_0 )
| ( esk1_0 = esk24_0 )
| ~ ( epred2_0 @ esk1_0 @ esk24_0 ) ),
inference(spm,[status(thm)],[c_0_154,c_0_153]) ).
thf(c_0_158,negated_conjecture,
( ( esk24_0 = esk27_0 )
| ( esk1_0 = esk24_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
thf(c_0_159,negated_conjecture,
( ( esk24_0 = esk27_0 )
| ( epred1_0 @ esk24_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_158]) ).
thf(c_0_160,negated_conjecture,
( ( esk24_0 = esk27_0 )
| ~ ( epred2_0 @ esk1_0 @ esk24_0 ) ),
inference(spm,[status(thm)],[c_0_154,c_0_159]) ).
thf(c_0_161,negated_conjecture,
! [X1: $i] :
( ( esk24_0 = esk27_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_159]) ).
thf(c_0_162,negated_conjecture,
esk24_0 = esk27_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_158]),c_0_161]) ).
thf(c_0_163,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk27_0 )
| ( X3 @ esk27_0 )
| ( X8 @ esk27_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_162]),c_0_162]),c_0_162]) ).
thf(c_0_164,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk27_0 )
| ( X8 @ esk27_0 )
| ( X3 @ esk27_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk28_0 != esk27_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_163]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]) ).
thf(c_0_165,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk27_0 )
| ( X3 @ esk27_0 )
| ( X8 @ esk27_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_162]),c_0_162]),c_0_162]) ).
thf(c_0_166,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk27_0 )
| ( esk27_0 = esk28_0 )
| ( X3 @ esk27_0 )
| ( X8 @ esk27_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_164]),c_0_165]) ).
thf(c_0_167,negated_conjecture,
! [X3: $i > $o] :
( ( esk27_0 = esk28_0 )
| ( esk1_0 = esk27_0 )
| ( epred1_0 @ esk27_0 )
| ( X3 @ esk27_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_166,c_0_12]) ).
thf(c_0_168,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk27_0 ) ),
inference(rw,[status(thm)],[c_0_152,c_0_162]) ).
thf(c_0_169,negated_conjecture,
( ( esk1_0 = esk27_0 )
| ( esk27_0 = esk28_0 )
| ( epred1_0 @ esk27_0 ) ),
inference(spm,[status(thm)],[c_0_167,c_0_12]) ).
thf(c_0_170,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk27_0 )
| ~ ( epred1_0 @ esk27_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_162]),c_0_162]) ).
thf(c_0_171,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk27_0 )
| ( X4 @ esk1_0 @ esk27_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_162]),c_0_162]) ).
thf(c_0_172,negated_conjecture,
! [X1: $i] :
( ( esk27_0 = esk28_0 )
| ( esk1_0 = esk27_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
thf(c_0_173,negated_conjecture,
( ( esk27_0 = esk28_0 )
| ( esk1_0 = esk27_0 )
| ~ ( epred2_0 @ esk1_0 @ esk27_0 ) ),
inference(spm,[status(thm)],[c_0_170,c_0_169]) ).
thf(c_0_174,negated_conjecture,
( ( esk27_0 = esk28_0 )
| ( esk1_0 = esk27_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).
thf(c_0_175,negated_conjecture,
( ( esk27_0 = esk28_0 )
| ( epred1_0 @ esk27_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_174]) ).
thf(c_0_176,negated_conjecture,
( ( esk27_0 = esk28_0 )
| ~ ( epred2_0 @ esk1_0 @ esk27_0 ) ),
inference(spm,[status(thm)],[c_0_170,c_0_175]) ).
thf(c_0_177,negated_conjecture,
( ( esk27_0 = esk28_0 )
| ~ ( epred2_0 @ esk27_0 @ esk27_0 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_174]) ).
thf(c_0_178,negated_conjecture,
! [X1: $i] :
( ( esk27_0 = esk28_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_175]) ).
thf(c_0_179,negated_conjecture,
esk27_0 = esk28_0,
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
thf(c_0_180,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk28_0 )
| ( X3 @ esk28_0 )
| ( X8 @ esk28_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_179]),c_0_179]),c_0_179]) ).
thf(c_0_181,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk28_0 )
| ( X8 @ esk28_0 )
| ( X3 @ esk28_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk29_0 != esk28_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_180]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]) ).
thf(c_0_182,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk28_0 )
| ( X3 @ esk28_0 )
| ( X8 @ esk28_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_179]),c_0_179]),c_0_179]) ).
thf(c_0_183,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk28_0 )
| ( esk28_0 = esk29_0 )
| ( X3 @ esk28_0 )
| ( X8 @ esk28_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_181]),c_0_182]) ).
thf(c_0_184,negated_conjecture,
! [X3: $i > $o] :
( ( esk28_0 = esk29_0 )
| ( esk1_0 = esk28_0 )
| ( epred1_0 @ esk28_0 )
| ( X3 @ esk28_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_183,c_0_12]) ).
thf(c_0_185,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk28_0 ) ),
inference(rw,[status(thm)],[c_0_168,c_0_179]) ).
thf(c_0_186,negated_conjecture,
( ( esk1_0 = esk28_0 )
| ( esk28_0 = esk29_0 )
| ( epred1_0 @ esk28_0 ) ),
inference(spm,[status(thm)],[c_0_184,c_0_12]) ).
thf(c_0_187,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk28_0 )
| ~ ( epred1_0 @ esk28_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_179]),c_0_179]) ).
thf(c_0_188,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk28_0 )
| ( X4 @ esk1_0 @ esk28_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_179]),c_0_179]) ).
thf(c_0_189,negated_conjecture,
! [X1: $i] :
( ( esk28_0 = esk29_0 )
| ( esk1_0 = esk28_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
thf(c_0_190,negated_conjecture,
( ( esk28_0 = esk29_0 )
| ( esk1_0 = esk28_0 )
| ~ ( epred2_0 @ esk1_0 @ esk28_0 ) ),
inference(spm,[status(thm)],[c_0_187,c_0_186]) ).
thf(c_0_191,negated_conjecture,
( ( esk28_0 = esk29_0 )
| ( esk1_0 = esk28_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
thf(c_0_192,negated_conjecture,
( ( esk28_0 = esk29_0 )
| ( epred1_0 @ esk28_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_191]) ).
thf(c_0_193,negated_conjecture,
( ( esk28_0 = esk29_0 )
| ~ ( epred2_0 @ esk1_0 @ esk28_0 ) ),
inference(spm,[status(thm)],[c_0_187,c_0_192]) ).
thf(c_0_194,negated_conjecture,
! [X1: $i] :
( ( esk28_0 = esk29_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_185,c_0_192]) ).
thf(c_0_195,negated_conjecture,
esk28_0 = esk29_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_191]),c_0_194]) ).
thf(c_0_196,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk29_0 )
| ( X3 @ esk29_0 )
| ( X8 @ esk29_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_195]),c_0_195]),c_0_195]) ).
thf(c_0_197,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk29_0 )
| ( X8 @ esk29_0 )
| ( X3 @ esk29_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk30_0 != esk29_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_196]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]) ).
thf(c_0_198,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk29_0 )
| ( X3 @ esk29_0 )
| ( X8 @ esk29_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_195]),c_0_195]),c_0_195]) ).
thf(c_0_199,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk29_0 )
| ( esk29_0 = esk30_0 )
| ( X3 @ esk29_0 )
| ( X8 @ esk29_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_197]),c_0_198]) ).
thf(c_0_200,negated_conjecture,
! [X3: $i > $o] :
( ( esk29_0 = esk30_0 )
| ( esk1_0 = esk29_0 )
| ( epred1_0 @ esk29_0 )
| ( X3 @ esk29_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_199,c_0_12]) ).
thf(c_0_201,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk29_0 ) ),
inference(rw,[status(thm)],[c_0_185,c_0_195]) ).
thf(c_0_202,negated_conjecture,
( ( esk1_0 = esk29_0 )
| ( esk29_0 = esk30_0 )
| ( epred1_0 @ esk29_0 ) ),
inference(spm,[status(thm)],[c_0_200,c_0_12]) ).
thf(c_0_203,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk29_0 )
| ~ ( epred1_0 @ esk29_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_195]),c_0_195]) ).
thf(c_0_204,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk29_0 )
| ( X4 @ esk1_0 @ esk29_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_195]),c_0_195]) ).
thf(c_0_205,negated_conjecture,
! [X1: $i] :
( ( esk29_0 = esk30_0 )
| ( esk1_0 = esk29_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
thf(c_0_206,negated_conjecture,
( ( esk29_0 = esk30_0 )
| ( esk1_0 = esk29_0 )
| ~ ( epred2_0 @ esk1_0 @ esk29_0 ) ),
inference(spm,[status(thm)],[c_0_203,c_0_202]) ).
thf(c_0_207,negated_conjecture,
( ( esk29_0 = esk30_0 )
| ( esk1_0 = esk29_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).
thf(c_0_208,negated_conjecture,
( ( esk29_0 = esk30_0 )
| ( epred1_0 @ esk29_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_207]) ).
thf(c_0_209,negated_conjecture,
( ( esk29_0 = esk30_0 )
| ~ ( epred2_0 @ esk1_0 @ esk29_0 ) ),
inference(spm,[status(thm)],[c_0_203,c_0_208]) ).
thf(c_0_210,negated_conjecture,
( ( esk29_0 = esk30_0 )
| ~ ( epred2_0 @ esk29_0 @ esk29_0 ) ),
inference(spm,[status(thm)],[c_0_209,c_0_207]) ).
thf(c_0_211,negated_conjecture,
! [X1: $i] :
( ( esk29_0 = esk30_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_201,c_0_208]) ).
thf(c_0_212,negated_conjecture,
esk29_0 = esk30_0,
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
thf(c_0_213,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk30_0 )
| ( X3 @ esk30_0 )
| ( X8 @ esk30_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_212]),c_0_212]),c_0_212]) ).
thf(c_0_214,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk30_0 )
| ( X8 @ esk30_0 )
| ( X3 @ esk30_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk41_0 != esk30_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_213]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]) ).
thf(c_0_215,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk30_0 )
| ( X3 @ esk30_0 )
| ( X8 @ esk30_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_212]),c_0_212]),c_0_212]) ).
thf(c_0_216,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk30_0 )
| ( esk30_0 = esk41_0 )
| ( X3 @ esk30_0 )
| ( X8 @ esk30_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_214]),c_0_215]) ).
thf(c_0_217,negated_conjecture,
! [X3: $i > $o] :
( ( esk30_0 = esk41_0 )
| ( esk1_0 = esk30_0 )
| ( epred1_0 @ esk30_0 )
| ( X3 @ esk30_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_216,c_0_12]) ).
thf(c_0_218,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk30_0 ) ),
inference(rw,[status(thm)],[c_0_201,c_0_212]) ).
thf(c_0_219,negated_conjecture,
( ( esk1_0 = esk30_0 )
| ( esk30_0 = esk41_0 )
| ( epred1_0 @ esk30_0 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_12]) ).
thf(c_0_220,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk30_0 )
| ~ ( epred1_0 @ esk30_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_212]),c_0_212]) ).
thf(c_0_221,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk30_0 )
| ( X4 @ esk1_0 @ esk30_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_212]),c_0_212]) ).
thf(c_0_222,negated_conjecture,
! [X1: $i] :
( ( esk30_0 = esk41_0 )
| ( esk1_0 = esk30_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
thf(c_0_223,negated_conjecture,
( ( esk30_0 = esk41_0 )
| ( esk1_0 = esk30_0 )
| ~ ( epred2_0 @ esk1_0 @ esk30_0 ) ),
inference(spm,[status(thm)],[c_0_220,c_0_219]) ).
thf(c_0_224,negated_conjecture,
( ( esk30_0 = esk41_0 )
| ( esk1_0 = esk30_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).
thf(c_0_225,negated_conjecture,
( ( esk30_0 = esk41_0 )
| ( epred1_0 @ esk30_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_224]) ).
thf(c_0_226,negated_conjecture,
( ( esk30_0 = esk41_0 )
| ~ ( epred2_0 @ esk1_0 @ esk30_0 ) ),
inference(spm,[status(thm)],[c_0_220,c_0_225]) ).
thf(c_0_227,negated_conjecture,
( ( esk30_0 = esk41_0 )
| ~ ( epred2_0 @ esk30_0 @ esk30_0 ) ),
inference(spm,[status(thm)],[c_0_226,c_0_224]) ).
thf(c_0_228,negated_conjecture,
! [X1: $i] :
( ( esk30_0 = esk41_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_218,c_0_225]) ).
thf(c_0_229,negated_conjecture,
esk30_0 = esk41_0,
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
thf(c_0_230,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk41_0 )
| ( X3 @ esk41_0 )
| ( X8 @ esk41_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_229]),c_0_229]),c_0_229]) ).
thf(c_0_231,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk41_0 )
| ( X8 @ esk41_0 )
| ( X3 @ esk41_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk45_0 != esk41_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_230]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]) ).
thf(c_0_232,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk41_0 )
| ( X3 @ esk41_0 )
| ( X8 @ esk41_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_229]),c_0_229]),c_0_229]) ).
thf(c_0_233,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk41_0 )
| ( esk41_0 = esk45_0 )
| ( X3 @ esk41_0 )
| ( X8 @ esk41_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_231]),c_0_232]) ).
thf(c_0_234,negated_conjecture,
! [X3: $i > $o] :
( ( esk41_0 = esk45_0 )
| ( esk1_0 = esk41_0 )
| ( epred1_0 @ esk41_0 )
| ( X3 @ esk41_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_233,c_0_12]) ).
thf(c_0_235,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk41_0 ) ),
inference(rw,[status(thm)],[c_0_218,c_0_229]) ).
thf(c_0_236,negated_conjecture,
( ( esk1_0 = esk41_0 )
| ( esk41_0 = esk45_0 )
| ( epred1_0 @ esk41_0 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_12]) ).
thf(c_0_237,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk41_0 )
| ~ ( epred1_0 @ esk41_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_229]),c_0_229]) ).
thf(c_0_238,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk41_0 )
| ( X4 @ esk1_0 @ esk41_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_229]),c_0_229]) ).
thf(c_0_239,negated_conjecture,
! [X1: $i] :
( ( esk41_0 = esk45_0 )
| ( esk1_0 = esk41_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
thf(c_0_240,negated_conjecture,
( ( esk41_0 = esk45_0 )
| ( esk1_0 = esk41_0 )
| ~ ( epred2_0 @ esk1_0 @ esk41_0 ) ),
inference(spm,[status(thm)],[c_0_237,c_0_236]) ).
thf(c_0_241,negated_conjecture,
( ( esk41_0 = esk45_0 )
| ( esk1_0 = esk41_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).
thf(c_0_242,negated_conjecture,
( ( esk41_0 = esk45_0 )
| ( epred1_0 @ esk41_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_241]) ).
thf(c_0_243,negated_conjecture,
( ( esk41_0 = esk45_0 )
| ~ ( epred2_0 @ esk1_0 @ esk41_0 ) ),
inference(spm,[status(thm)],[c_0_237,c_0_242]) ).
thf(c_0_244,negated_conjecture,
( ( esk41_0 = esk45_0 )
| ~ ( epred2_0 @ esk41_0 @ esk41_0 ) ),
inference(spm,[status(thm)],[c_0_243,c_0_241]) ).
thf(c_0_245,negated_conjecture,
! [X1: $i] :
( ( esk41_0 = esk45_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_235,c_0_242]) ).
thf(c_0_246,negated_conjecture,
esk41_0 = esk45_0,
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
thf(c_0_247,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk45_0 )
| ( X3 @ esk45_0 )
| ( X8 @ esk45_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_246]),c_0_246]),c_0_246]) ).
thf(c_0_248,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk45_0 )
| ( X8 @ esk45_0 )
| ( X3 @ esk45_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk48_0 != esk45_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_247]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]),c_0_246]) ).
thf(c_0_249,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk45_0 )
| ( X3 @ esk45_0 )
| ( X8 @ esk45_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_246]),c_0_246]),c_0_246]) ).
thf(c_0_250,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk45_0 )
| ( esk45_0 = esk48_0 )
| ( X3 @ esk45_0 )
| ( X8 @ esk45_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_248]),c_0_249]) ).
thf(c_0_251,negated_conjecture,
! [X3: $i > $o] :
( ( esk45_0 = esk48_0 )
| ( esk1_0 = esk45_0 )
| ( epred1_0 @ esk45_0 )
| ( X3 @ esk45_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_250,c_0_12]) ).
thf(c_0_252,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk45_0 ) ),
inference(rw,[status(thm)],[c_0_235,c_0_246]) ).
thf(c_0_253,negated_conjecture,
( ( esk1_0 = esk45_0 )
| ( esk45_0 = esk48_0 )
| ( epred1_0 @ esk45_0 ) ),
inference(spm,[status(thm)],[c_0_251,c_0_12]) ).
thf(c_0_254,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk45_0 )
| ~ ( epred1_0 @ esk45_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_246]),c_0_246]) ).
thf(c_0_255,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk45_0 )
| ( X4 @ esk1_0 @ esk45_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_246]),c_0_246]) ).
thf(c_0_256,negated_conjecture,
! [X1: $i] :
( ( esk45_0 = esk48_0 )
| ( esk1_0 = esk45_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
thf(c_0_257,negated_conjecture,
( ( esk45_0 = esk48_0 )
| ( esk1_0 = esk45_0 )
| ~ ( epred2_0 @ esk1_0 @ esk45_0 ) ),
inference(spm,[status(thm)],[c_0_254,c_0_253]) ).
thf(c_0_258,negated_conjecture,
( ( esk45_0 = esk48_0 )
| ( esk1_0 = esk45_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
thf(c_0_259,negated_conjecture,
( ( esk45_0 = esk48_0 )
| ( epred1_0 @ esk45_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_258]) ).
thf(c_0_260,negated_conjecture,
( ( esk45_0 = esk48_0 )
| ~ ( epred2_0 @ esk1_0 @ esk45_0 ) ),
inference(spm,[status(thm)],[c_0_254,c_0_259]) ).
thf(c_0_261,negated_conjecture,
( ( esk45_0 = esk48_0 )
| ~ ( epred2_0 @ esk45_0 @ esk45_0 ) ),
inference(spm,[status(thm)],[c_0_260,c_0_258]) ).
thf(c_0_262,negated_conjecture,
! [X1: $i] :
( ( esk45_0 = esk48_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_252,c_0_259]) ).
thf(c_0_263,negated_conjecture,
esk45_0 = esk48_0,
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
thf(c_0_264,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk48_0 )
| ( X3 @ esk48_0 )
| ( X8 @ esk48_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_263]),c_0_263]),c_0_263]) ).
thf(c_0_265,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk48_0 )
| ( X8 @ esk48_0 )
| ( X3 @ esk48_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk54_0 != esk48_0 ) )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_264]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]),c_0_246]),c_0_263]) ).
thf(c_0_266,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk48_0 )
| ( X3 @ esk48_0 )
| ( X8 @ esk48_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_263]),c_0_263]),c_0_263]) ).
thf(c_0_267,plain,
! [X3: $i > $o,X8: $i > $o] :
( ( esk1_0 = esk48_0 )
| ( esk48_0 = esk54_0 )
| ( X3 @ esk48_0 )
| ( X8 @ esk48_0 )
| ~ ( X3 @ esk1_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_265]),c_0_266]) ).
thf(c_0_268,negated_conjecture,
! [X3: $i > $o] :
( ( esk48_0 = esk54_0 )
| ( esk1_0 = esk48_0 )
| ( epred1_0 @ esk48_0 )
| ( X3 @ esk48_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_267,c_0_12]) ).
thf(c_0_269,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk48_0 ) ),
inference(rw,[status(thm)],[c_0_252,c_0_263]) ).
thf(c_0_270,negated_conjecture,
( ( esk1_0 = esk48_0 )
| ( esk48_0 = esk54_0 )
| ( epred1_0 @ esk48_0 ) ),
inference(spm,[status(thm)],[c_0_268,c_0_12]) ).
thf(c_0_271,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk48_0 )
| ~ ( epred1_0 @ esk48_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_263]),c_0_263]) ).
thf(c_0_272,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk48_0 )
| ( X4 @ esk1_0 @ esk48_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_263]),c_0_263]) ).
thf(c_0_273,negated_conjecture,
! [X1: $i] :
( ( esk48_0 = esk54_0 )
| ( esk1_0 = esk48_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
thf(c_0_274,negated_conjecture,
( ( esk48_0 = esk54_0 )
| ( esk1_0 = esk48_0 )
| ~ ( epred2_0 @ esk1_0 @ esk48_0 ) ),
inference(spm,[status(thm)],[c_0_271,c_0_270]) ).
thf(c_0_275,negated_conjecture,
( ( esk48_0 = esk54_0 )
| ( esk1_0 = esk48_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
thf(c_0_276,negated_conjecture,
( ( esk48_0 = esk54_0 )
| ( epred1_0 @ esk48_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_275]) ).
thf(c_0_277,negated_conjecture,
( ( esk48_0 = esk54_0 )
| ~ ( epred2_0 @ esk1_0 @ esk48_0 ) ),
inference(spm,[status(thm)],[c_0_271,c_0_276]) ).
thf(c_0_278,negated_conjecture,
( ( esk48_0 = esk54_0 )
| ~ ( epred2_0 @ esk48_0 @ esk48_0 ) ),
inference(spm,[status(thm)],[c_0_277,c_0_275]) ).
thf(c_0_279,negated_conjecture,
! [X1: $i] :
( ( esk48_0 = esk54_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_269,c_0_276]) ).
thf(c_0_280,negated_conjecture,
esk48_0 = esk54_0,
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
thf(c_0_281,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk54_0 )
| ( X3 @ esk54_0 )
| ( X8 @ esk54_0 )
| ( ( ^ [Z0: $i] : ( esk4_0 != esk1_0 ) )
!= ( ^ [Z0: $i] : ( Z0 != esk2_0 ) ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_280]),c_0_280]),c_0_280]) ).
thf(c_0_282,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk54_0 )
| ( X8 @ esk54_0 )
| ( X3 @ esk54_0 )
| ( ( esk4_0 != esk1_0 )
<~> ( esk63_0 != esk54_0 ) )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_281]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]),c_0_246]),c_0_263]),c_0_280]) ).
thf(c_0_283,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk54_0 )
| ( X3 @ esk54_0 )
| ( X8 @ esk54_0 )
| ( esk1_0 != esk4_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_280]),c_0_280]),c_0_280]) ).
thf(c_0_284,plain,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk54_0 )
| ( esk54_0 = esk63_0 )
| ( X3 @ esk54_0 )
| ( X8 @ esk54_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_282]),c_0_283]) ).
thf(c_0_285,negated_conjecture,
! [X3: $i > $o] :
( ( esk54_0 = esk63_0 )
| ( esk1_0 = esk54_0 )
| ( epred1_0 @ esk54_0 )
| ( X3 @ esk54_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_284,c_0_12]) ).
thf(c_0_286,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk54_0 ) ),
inference(rw,[status(thm)],[c_0_269,c_0_280]) ).
thf(c_0_287,negated_conjecture,
( ( esk1_0 = esk54_0 )
| ( esk54_0 = esk63_0 )
| ( epred1_0 @ esk54_0 ) ),
inference(spm,[status(thm)],[c_0_285,c_0_12]) ).
thf(c_0_288,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk54_0 )
| ~ ( epred1_0 @ esk54_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_280]),c_0_280]) ).
thf(c_0_289,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk54_0 )
| ( X4 @ esk1_0 @ esk54_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_280]),c_0_280]) ).
thf(c_0_290,negated_conjecture,
! [X1: $i] :
( ( esk54_0 = esk63_0 )
| ( esk1_0 = esk54_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
thf(c_0_291,negated_conjecture,
( ( esk54_0 = esk63_0 )
| ( esk1_0 = esk54_0 )
| ~ ( epred2_0 @ esk1_0 @ esk54_0 ) ),
inference(spm,[status(thm)],[c_0_288,c_0_287]) ).
thf(c_0_292,negated_conjecture,
( ( esk54_0 = esk63_0 )
| ( esk1_0 = esk54_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]) ).
thf(c_0_293,negated_conjecture,
( ( esk54_0 = esk63_0 )
| ( epred1_0 @ esk54_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_292]) ).
thf(c_0_294,negated_conjecture,
( ( esk54_0 = esk63_0 )
| ~ ( epred2_0 @ esk1_0 @ esk54_0 ) ),
inference(spm,[status(thm)],[c_0_288,c_0_293]) ).
thf(c_0_295,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( Z0 != esk1_0 )
| ( X4 @ Z0 @ Z1 ) ) )
= esk1_0 )
| ( X4 @ esk1_0 @ esk6_0 )
| ( X3 @ esk6_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_61]),c_0_61]),c_0_79]),c_0_79]) ).
thf(c_0_296,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X4 @ Z0 @ Z1 )
| ( Z1 != esk2_0 ) ) )
= esk19_0 )
| ( X4 @ esk1_0 @ esk19_0 )
| ( X3 @ esk19_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_61]),c_0_61]),c_0_61]),c_0_79]),c_0_97]),c_0_79]),c_0_97]),c_0_79]),c_0_97]) ).
thf(c_0_297,negated_conjecture,
( ( esk54_0 = esk63_0 )
| ~ ( epred2_0 @ esk54_0 @ esk54_0 ) ),
inference(spm,[status(thm)],[c_0_294,c_0_292]) ).
thf(c_0_298,negated_conjecture,
! [X1: $i] :
( ( esk54_0 = esk63_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_286,c_0_293]) ).
thf(c_0_299,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( Z0 != esk1_0 )
| ( X4 @ Z0 @ Z1 ) ) )
= esk1_0 )
| ( X4 @ esk1_0 @ esk30_0 )
| ( X3 @ esk30_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_97]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]) ).
thf(c_0_300,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X4 @ Z0 @ Z1 )
| ( Z1 != esk2_0 ) ) )
= esk41_0 )
| ( X4 @ esk1_0 @ esk41_0 )
| ( X3 @ esk41_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_113]),c_0_113]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]) ).
thf(c_0_301,negated_conjecture,
esk54_0 = esk63_0,
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
thf(c_0_302,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( Z0 != esk1_0 )
| ( X4 @ Z0 @ Z1 ) ) )
= esk1_0 )
| ( X4 @ esk1_0 @ esk48_0 )
| ( X3 @ esk48_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_229]),c_0_229]),c_0_246]),c_0_263]),c_0_246]),c_0_263]) ).
thf(c_0_303,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( X4 @ Z0 @ Z1 )
| ( Z1 != esk2_0 ) ) )
= esk63_0 )
| ( X4 @ esk1_0 @ esk63_0 )
| ( X3 @ esk63_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_246]),c_0_246]),c_0_246]),c_0_263]),c_0_280]),c_0_301]),c_0_263]),c_0_280]),c_0_301]),c_0_263]),c_0_280]),c_0_301]) ).
thf(c_0_304,negated_conjecture,
! [X4: $i > $i > $o,X3: $i > $o] :
( ( ( esk3_1
@ ^ [Z0: $i,Z1: $i] :
( ( Z0 != esk1_0 )
| ( X4 @ Z0 @ Z1 ) ) )
= esk1_0 )
| ( X4 @ esk1_0 @ esk63_0 )
| ( X3 @ esk63_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_280]),c_0_280]),c_0_301]),c_0_301]) ).
thf(c_0_305,negated_conjecture,
! [X8: $i > $o,X3: $i > $o] :
( ( esk1_0 = esk63_0 )
| ( X3 @ esk63_0 )
| ( X8 @ esk63_0 )
| ~ ( X8 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304])])]),c_0_61]),c_0_79]),c_0_97]),c_0_113]),c_0_129]),c_0_146]),c_0_162]),c_0_179]),c_0_195]),c_0_212]),c_0_229]),c_0_246]),c_0_263]),c_0_280]),c_0_301])]) ).
thf(c_0_306,negated_conjecture,
! [X3: $i > $o] :
( ( esk1_0 = esk63_0 )
| ( epred1_0 @ esk63_0 )
| ( X3 @ esk63_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_305,c_0_12]) ).
thf(c_0_307,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ X1 @ X1 )
| ~ ( epred1_0 @ esk63_0 ) ),
inference(rw,[status(thm)],[c_0_286,c_0_301]) ).
thf(c_0_308,negated_conjecture,
( ( esk1_0 = esk63_0 )
| ( epred1_0 @ esk63_0 ) ),
inference(spm,[status(thm)],[c_0_306,c_0_12]) ).
thf(c_0_309,negated_conjecture,
( ~ ( epred2_0 @ esk1_0 @ esk63_0 )
| ~ ( epred1_0 @ esk63_0 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_301]),c_0_301]) ).
thf(c_0_310,negated_conjecture,
! [X4: $i > $i > $o] :
( ( esk1_0 = esk63_0 )
| ( X4 @ esk1_0 @ esk63_0 )
| ~ ( X4 @ ( esk3_1 @ X4 ) @ ( esk3_1 @ X4 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_301]),c_0_301]) ).
thf(c_0_311,negated_conjecture,
! [X1: $i] :
( ( esk1_0 = esk63_0 )
| ( epred2_0 @ X1 @ X1 ) ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
thf(c_0_312,negated_conjecture,
( ( esk1_0 = esk63_0 )
| ~ ( epred2_0 @ esk1_0 @ esk63_0 ) ),
inference(spm,[status(thm)],[c_0_309,c_0_308]) ).
thf(c_0_313,negated_conjecture,
esk1_0 = esk63_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_312]) ).
thf(c_0_314,negated_conjecture,
epred1_0 @ esk63_0,
inference(rw,[status(thm)],[c_0_12,c_0_313]) ).
thf(c_0_315,negated_conjecture,
~ ( epred2_0 @ esk63_0 @ esk63_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_313]),c_0_314])]) ).
thf(c_0_316,negated_conjecture,
! [X1: $i] : ( epred2_0 @ X1 @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_314])]) ).
thf(c_0_317,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_316])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO277^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:34:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running higher-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/0.97 # Version: 3.1.0-ho
% 3.97/0.97 # Preprocessing class: HSSSSMSSSSSNSSA.
% 3.97/0.97 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.97/0.97 # Starting post_as_ho12 with 300s (1) cores
% 3.97/0.97 # Starting new_bool_9 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho1 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho4 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho2 with 300s (1) cores
% 3.97/0.97 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 3.97/0.97 # Starting full_lambda_10 with 300s (1) cores
% 3.97/0.97 # Starting new_ho_8 with 300s (1) cores
% 3.97/0.97 # ehoh_best2_full_lfho with pid 19896 completed with status 0
% 3.97/0.97 # Result found by ehoh_best2_full_lfho
% 3.97/0.97 # Preprocessing class: HSSSSMSSSSSNSSA.
% 3.97/0.97 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.97/0.97 # Starting post_as_ho12 with 300s (1) cores
% 3.97/0.97 # Starting new_bool_9 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho1 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho4 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho2 with 300s (1) cores
% 3.97/0.97 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 3.97/0.97 # No SInE strategy applied
% 3.97/0.97 # Search class: HGHNF-FFSF11-SSSFFSBN
% 3.97/0.97 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.97/0.97 # Starting ehoh_best2_full_lfho with 181s (1) cores
% 3.97/0.97 # ehoh_best2_full_lfho with pid 19904 completed with status 0
% 3.97/0.97 # Result found by ehoh_best2_full_lfho
% 3.97/0.97 # Preprocessing class: HSSSSMSSSSSNSSA.
% 3.97/0.97 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.97/0.97 # Starting post_as_ho12 with 300s (1) cores
% 3.97/0.97 # Starting new_bool_9 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho1 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho4 with 300s (1) cores
% 3.97/0.97 # Starting post_as_ho2 with 300s (1) cores
% 3.97/0.97 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 3.97/0.97 # No SInE strategy applied
% 3.97/0.97 # Search class: HGHNF-FFSF11-SSSFFSBN
% 3.97/0.97 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.97/0.97 # Starting ehoh_best2_full_lfho with 181s (1) cores
% 3.97/0.97 # Preprocessing time : 0.001 s
% 3.97/0.97
% 3.97/0.97 # Proof found!
% 3.97/0.97 # SZS status Theorem
% 3.97/0.97 # SZS output start CNFRefutation
% See solution above
% 3.97/0.97 # Parsed axioms : 1
% 3.97/0.97 # Removed by relevancy pruning/SinE : 0
% 3.97/0.97 # Initial clauses : 5
% 3.97/0.97 # Removed in clause preprocessing : 0
% 3.97/0.97 # Initial clauses in saturation : 5
% 3.97/0.97 # Processed clauses : 2813
% 3.97/0.97 # ...of these trivial : 40
% 3.97/0.97 # ...subsumed : 1047
% 3.97/0.97 # ...remaining for further processing : 1726
% 3.97/0.97 # Other redundant clauses eliminated : 0
% 3.97/0.97 # Clauses deleted for lack of memory : 0
% 3.97/0.97 # Backward-subsumed : 201
% 3.97/0.97 # Backward-rewritten : 1370
% 3.97/0.97 # Generated clauses : 10440
% 3.97/0.97 # ...of the previous two non-redundant : 6504
% 3.97/0.97 # ...aggressively subsumed : 0
% 3.97/0.97 # Contextual simplify-reflections : 66
% 3.97/0.97 # Paramodulations : 7434
% 3.97/0.97 # Factorizations : 16
% 3.97/0.97 # NegExts : 63
% 3.97/0.97 # Equation resolutions : 200
% 3.97/0.97 # Disequality decompositions : 0
% 3.97/0.97 # Total rewrite steps : 19662
% 3.97/0.97 # ...of those cached : 19643
% 3.97/0.97 # Propositional unsat checks : 0
% 3.97/0.97 # Propositional check models : 0
% 3.97/0.97 # Propositional check unsatisfiable : 0
% 3.97/0.97 # Propositional clauses : 0
% 3.97/0.97 # Propositional clauses after purity: 0
% 3.97/0.97 # Propositional unsat core size : 0
% 3.97/0.97 # Propositional preprocessing time : 0.000
% 3.97/0.97 # Propositional encoding time : 0.000
% 3.97/0.97 # Propositional solver time : 0.000
% 3.97/0.97 # Success case prop preproc time : 0.000
% 3.97/0.97 # Success case prop encoding time : 0.000
% 3.97/0.97 # Success case prop solver time : 0.000
% 3.97/0.97 # Current number of processed clauses : 43
% 3.97/0.97 # Positive orientable unit clauses : 18
% 3.97/0.97 # Positive unorientable unit clauses: 0
% 3.97/0.97 # Negative unit clauses : 0
% 3.97/0.97 # Non-unit-clauses : 25
% 3.97/0.97 # Current number of unprocessed clauses: 3040
% 3.97/0.97 # ...number of literals in the above : 18151
% 3.97/0.97 # Current number of archived formulas : 0
% 3.97/0.97 # Current number of archived clauses : 1683
% 3.97/0.97 # Clause-clause subsumption calls (NU) : 32032
% 3.97/0.97 # Rec. Clause-clause subsumption calls : 9295
% 3.97/0.97 # Non-unit clause-clause subsumptions : 1309
% 3.97/0.97 # Unit Clause-clause subsumption calls : 61
% 3.97/0.97 # Rewrite failures with RHS unbound : 0
% 3.97/0.97 # BW rewrite match attempts : 20
% 3.97/0.97 # BW rewrite match successes : 19
% 3.97/0.97 # Condensation attempts : 0
% 3.97/0.97 # Condensation successes : 0
% 3.97/0.97 # Termbank termtop insertions : 251262
% 3.97/0.97 # Search garbage collected termcells : 173
% 3.97/0.97
% 3.97/0.97 # -------------------------------------------------
% 3.97/0.97 # User time : 0.452 s
% 3.97/0.97 # System time : 0.011 s
% 3.97/0.97 # Total time : 0.463 s
% 3.97/0.97 # Maximum resident set size: 1740 pages
% 3.97/0.97
% 3.97/0.97 # -------------------------------------------------
% 3.97/0.97 # User time : 0.453 s
% 3.97/0.97 # System time : 0.014 s
% 3.97/0.97 # Total time : 0.467 s
% 3.97/0.97 # Maximum resident set size: 1760 pages
% 3.97/0.97 % E---3.1 exiting
% 3.97/0.97 % E exiting
%------------------------------------------------------------------------------