%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET597^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:21:59 AM UTC 2026
% Result : Theorem 44.55s 6.76s
% Output : CNFRefutation 44.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
epred3_0: a > $o ).
thf(decl_26,type,
esk1_0: a ).
thf(decl_27,type,
esk2_0: a ).
thf(decl_28,type,
epred4_0: a > $o ).
thf(decl_29,type,
esk3_0: a ).
thf(decl_30,type,
esk4_1: ( a > $o ) > a ).
thf(decl_31,type,
esk5_1: ( a > $o ) > a ).
thf(decl_32,type,
esk5_0: a ).
thf(decl_34,type,
esk7_0: a ).
thf(decl_37,type,
esk10_0: a ).
thf(decl_38,type,
esk11_0: a ).
thf(decl_39,type,
esk12_0: a ).
thf(decl_40,type,
esk13_0: a ).
thf(decl_41,type,
esk14_0: a ).
thf(decl_42,type,
esk15_0: a ).
thf(decl_43,type,
esk16_0: a ).
thf(decl_44,type,
esk17_0: a ).
thf(decl_45,type,
esk18_0: a ).
thf(decl_46,type,
esk19_0: a ).
thf(decl_47,type,
esk20_0: a ).
thf(decl_66,type,
esk39_0: a ).
thf(decl_67,type,
esk40_0: a ).
thf(decl_68,type,
esk41_0: a ).
thf(decl_73,type,
esk46_0: a ).
thf(decl_74,type,
esk47_0: a ).
thf(decl_75,type,
esk48_0: a ).
thf(decl_76,type,
esk49_0: a ).
thf(decl_77,type,
esk50_0: a ).
thf(decl_78,type,
esk51_0: a ).
thf(decl_79,type,
esk52_0: a ).
thf(decl_81,type,
esk54_0: a ).
thf(decl_82,type,
esk55_0: a ).
thf(cBOOL_PROP_56_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( X1
= ( ^ [X4: a] :
( ( X2 @ X4 )
| ( X3 @ X4 ) ) ) )
<=> ( ! [X5: a] :
( ( X2 @ X5 )
=> ( X1 @ X5 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X1 @ X5 ) )
& ! [X6: a > $o] :
( ( ! [X5: a] :
( ( X2 @ X5 )
=> ( X6 @ X5 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X6 @ X5 ) ) )
=> ! [X5: a] :
( ( X1 @ X5 )
=> ( X6 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hKbUNzmHQq/E---3.1_720348.p',cBOOL_PROP_56_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( X1
= ( ^ [X4: a] :
( ( X2 @ X4 )
| ( X3 @ X4 ) ) ) )
<=> ( ! [X5: a] :
( ( X2 @ X5 )
=> ( X1 @ X5 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X1 @ X5 ) )
& ! [X6: a > $o] :
( ( ! [X5: a] :
( ( X2 @ X5 )
=> ( X6 @ X5 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X6 @ X5 ) ) )
=> ! [X5: a] :
( ( X1 @ X5 )
=> ( X6 @ X5 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_56_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( X1
= ( ^ [Z0: a] :
( ( X2 @ Z0 )
| ( X3 @ Z0 ) ) ) )
<=> ( ! [X5: a] :
( ( X2 @ X5 )
=> ( X1 @ X5 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X1 @ X5 ) )
& ! [X6: a > $o] :
( ( ! [X5: a] :
( ( X2 @ X5 )
=> ( X6 @ X5 ) )
& ! [X5: a] :
( ( X3 @ X5 )
=> ( X6 @ X5 ) ) )
=> ! [X5: a] :
( ( X1 @ X5 )
=> ( X6 @ X5 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X22: a,X23: a,X25: a,X26: a,X27: a > $o,X30: a] :
( ( ~ ( epred2_0 @ X22 )
| ( epred4_0 @ X22 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred3_0 @ X23 )
| ( epred4_0 @ X23 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred4_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred2_0 @ X22 )
| ( epred4_0 @ X22 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred3_0 @ X23 )
| ( epred4_0 @ X23 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred2_0 @ X22 )
| ( epred4_0 @ X22 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred3_0 @ X23 )
| ( epred4_0 @ X23 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred4_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred2_0 @ X22 )
| ( epred4_0 @ X22 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred3_0 @ X23 )
| ( epred4_0 @ X23 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred2_0 @ X25 )
| ( epred1_0 @ X25 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ( epred3_0 @ ( esk5_1 @ X27 ) )
| ( epred2_0 @ ( esk4_1 @ X27 ) )
| ~ ( epred1_0 @ X30 )
| ( X27 @ X30 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( X27 @ ( esk5_1 @ X27 ) )
| ( epred2_0 @ ( esk4_1 @ X27 ) )
| ~ ( epred1_0 @ X30 )
| ( X27 @ X30 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ( epred3_0 @ ( esk5_1 @ X27 ) )
| ~ ( X27 @ ( esk4_1 @ X27 ) )
| ~ ( epred1_0 @ X30 )
| ( X27 @ X30 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) )
& ( ~ ( X27 @ ( esk5_1 @ X27 ) )
| ~ ( X27 @ ( esk4_1 @ X27 ) )
| ~ ( epred1_0 @ X30 )
| ( X27 @ X30 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ) ),
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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred2_0 @ ( esk4_1 @ X1 ) )
| ( X1 @ X4 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) )
| ~ ( X1 @ ( esk5_1 @ X1 ) )
| ~ ( epred1_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred3_0 @ ( esk5_1 @ X1 ) )
| ( X1 @ X4 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) )
| ~ ( X1 @ ( esk4_1 @ X1 ) )
| ~ ( epred1_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ X4 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) )
| ~ ( X1 @ ( esk5_1 @ X1 ) )
| ~ ( X1 @ ( esk4_1 @ X1 ) )
| ~ ( epred1_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred3_0 @ ( esk5_1 @ X1 ) )
| ( epred2_0 @ ( esk4_1 @ X1 ) )
| ( X1 @ X4 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) )
| ~ ( epred1_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X4: a] :
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
= epred1_0 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 != X4 ) )
= X4 )
| ( epred2_0
@ ( esk4_1
@ ^ [Z0: a] : ( Z0 != X4 ) ) )
| ~ ( epred1_0 @ X4 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X4: a] :
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
= epred1_0 )
| ( ( esk4_1
@ ^ [Z0: a] : ( Z0 != X4 ) )
= X4 )
| ( epred3_0
@ ( esk5_1
@ ^ [Z0: a] : ( Z0 != X4 ) ) )
| ~ ( epred1_0 @ X4 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5]) ).
thf(c_0_10,negated_conjecture,
! [X4: a] :
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
= epred1_0 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 != X4 ) )
= X4 )
| ( ( esk4_1
@ ^ [Z0: a] : ( Z0 != X4 ) )
= X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_6]) ).
thf(c_0_11,negated_conjecture,
! [X4: a] :
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
= epred1_0 )
| ( epred2_0
@ ( esk4_1
@ ^ [Z0: a] : ( Z0 != X4 ) ) )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])])]) ).
thf(c_0_12,negated_conjecture,
! [X4: a] :
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
= epred1_0 )
| ( ( esk4_1
@ ^ [Z0: a] : ( Z0 != X4 ) )
= X4 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X4: a] :
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
= epred1_0 )
| ( epred3_0 @ X4 )
| ( epred2_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_14,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_15,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ X4 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) )
| ~ ( epred3_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_16,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ X4 )
| ( epred1_0
= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) )
| ~ ( epred2_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X537: a,X4: a] :
( ( ( ( epred2_0 @ X537 )
| ( epred3_0 @ X537 ) )
<=> ( epred1_0 @ X537 ) )
| ( epred2_0 @ X4 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk20_0 )
| ( epred3_0 @ esk20_0 ) )
<~> ( epred1_0 @ esk20_0 ) )
| ~ ( epred3_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_14]) ).
thf(c_0_20,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
thf(c_0_22,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_23,negated_conjecture,
! [X32: a,X4: a] :
( ( ( ( epred2_0 @ X32 )
| ( epred3_0 @ X32 ) )
<=> ( epred1_0 @ X32 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_15]) ).
thf(c_0_24,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( ( ( epred2_0 @ esk5_0 )
| ( epred3_0 @ esk5_0 ) )
<~> ( epred1_0 @ esk5_0 ) ) ),
inference(neg_ext,[status(thm)],[c_0_17]) ).
thf(c_0_25,negated_conjecture,
! [X31: a,X4: a] :
( ( ( ( epred2_0 @ X31 )
| ( epred3_0 @ X31 ) )
<=> ( epred1_0 @ X31 ) )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_16]) ).
thf(c_0_26,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_27,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred4_0 @ esk3_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_28,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ X4 )
| ( epred2_0 @ X4 )
| ( epred3_0 @ X5 )
| ( epred2_0 @ X5 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_18]) ).
thf(c_0_29,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk20_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19]),c_0_20]) ).
thf(c_0_30,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk20_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19]),c_0_21]) ).
thf(c_0_31,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
thf(c_0_32,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
thf(c_0_33,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred1_0 @ X5 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_23]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk5_0 )
| ( epred2_0 @ esk5_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_24]) ).
thf(c_0_35,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred1_0 @ X5 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_25]) ).
thf(c_0_36,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
thf(c_0_37,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( ( ( epred2_0 @ esk12_0 )
| ( epred3_0 @ esk12_0 ) )
<~> ( epred1_0 @ esk12_0 ) )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_27]) ).
thf(c_0_38,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred2_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(ef,[status(thm)],[c_0_28]) ).
thf(c_0_39,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk20_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19]),c_0_29]),c_0_30]) ).
thf(c_0_40,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_15]) ).
thf(c_0_41,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
thf(c_0_42,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_31]),c_0_15]) ).
thf(c_0_43,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_16]) ).
thf(c_0_44,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
thf(c_0_45,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_16]) ).
thf(c_0_46,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_33]),c_0_36]) ).
thf(c_0_47,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk19_0 )
| ( epred3_0 @ esk19_0 ) )
<~> ( epred1_0 @ esk19_0 ) )
| ~ ( epred2_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_22]) ).
thf(c_0_48,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk12_0 )
| ~ ( epred1_0 @ esk12_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_37]) ).
thf(c_0_49,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_39]),c_0_30]) ).
thf(c_0_50,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_41]),c_0_42]) ).
thf(c_0_51,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk12_0 )
| ~ ( epred1_0 @ esk12_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_37]) ).
thf(c_0_52,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_44]),c_0_45]) ).
thf(c_0_53,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( epred3_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
thf(c_0_54,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk19_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_47]),c_0_31]) ).
thf(c_0_55,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk19_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_47]),c_0_32]) ).
thf(c_0_56,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk12_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
thf(c_0_57,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk12_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_52]) ).
thf(c_0_58,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred1_0 @ X5 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_25]) ).
thf(c_0_59,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_53]) ).
thf(c_0_60,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk19_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_47]),c_0_54]),c_0_55]) ).
thf(c_0_61,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk12_0 )
| ( epred3_0 @ esk12_0 )
| ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_37]) ).
thf(c_0_62,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_57]) ).
thf(c_0_63,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_58]) ).
thf(c_0_64,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38]),c_0_60]),c_0_55]) ).
thf(c_0_65,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_49]),c_0_57]),c_0_56]),c_0_62]) ).
thf(c_0_66,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
thf(c_0_67,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_64]) ).
thf(c_0_68,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_38]) ).
thf(c_0_69,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_66]) ).
thf(c_0_70,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( ( ( epred2_0 @ esk39_0 )
| ( epred3_0 @ esk39_0 ) )
<~> ( epred1_0 @ esk39_0 ) )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_67]) ).
thf(c_0_71,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
thf(c_0_72,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk39_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_70]),c_0_50]) ).
thf(c_0_73,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk39_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_70]),c_0_52]) ).
thf(c_0_74,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_71]),c_0_35]) ).
thf(c_0_75,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_70]),c_0_38]),c_0_72]),c_0_73]) ).
thf(c_0_76,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_71]) ).
thf(c_0_77,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_79,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_80,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk16_0 )
| ( epred3_0 @ esk16_0 ) )
<~> ( epred1_0 @ esk16_0 ) )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_77]) ).
thf(c_0_81,negated_conjecture,
! [X5: a,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_15]) ).
thf(c_0_82,negated_conjecture,
! [X5: a,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_16]) ).
thf(c_0_83,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_35]) ).
thf(c_0_84,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( ( ( epred2_0 @ esk10_0 )
| ( epred3_0 @ esk10_0 ) )
<~> ( epred1_0 @ esk10_0 ) )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_26]) ).
thf(c_0_85,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
thf(c_0_86,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk15_0 )
| ( epred3_0 @ esk15_0 ) )
<~> ( epred1_0 @ esk15_0 ) )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_79]) ).
thf(c_0_87,negated_conjecture,
! [X5: a,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_15]) ).
thf(c_0_88,negated_conjecture,
! [X5: a,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_16]) ).
thf(c_0_89,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk16_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_80]),c_0_81]) ).
thf(c_0_90,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk16_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_80]),c_0_82]) ).
thf(c_0_91,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_78]) ).
thf(c_0_92,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk10_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84]),c_0_36]) ).
thf(c_0_93,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk10_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84]),c_0_85]) ).
thf(c_0_94,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk15_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_86]),c_0_87]) ).
thf(c_0_95,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk15_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_86]),c_0_88]) ).
thf(c_0_96,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk16_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_80]),c_0_89]),c_0_90]) ).
thf(c_0_97,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_91]) ).
thf(c_0_98,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk10_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84]),c_0_92]),c_0_93]) ).
thf(c_0_99,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk15_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_86]),c_0_94]),c_0_95]) ).
thf(c_0_100,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_38]),c_0_96]),c_0_90]) ).
thf(c_0_101,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_97,c_0_91]) ).
thf(c_0_102,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_38]),c_0_98]),c_0_93]) ).
thf(c_0_103,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_38]),c_0_99]),c_0_95]) ).
thf(c_0_104,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ~ ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_105,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
thf(c_0_106,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_101]) ).
thf(c_0_107,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_101]) ).
thf(c_0_108,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_101]) ).
thf(c_0_109,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_106]) ).
thf(c_0_110,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_107]),c_0_101]) ).
thf(c_0_111,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_16]),c_0_58]) ).
thf(c_0_112,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_109,c_0_106]) ).
thf(c_0_113,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_16]),c_0_58]) ).
thf(c_0_114,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( ( ( epred2_0 @ esk40_0 )
| ( epred3_0 @ esk40_0 ) )
<~> ( epred1_0 @ esk40_0 ) )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_110]) ).
thf(c_0_115,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_15]),c_0_35]) ).
thf(c_0_116,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_15]),c_0_35]) ).
thf(c_0_117,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ( ( ( epred2_0 @ esk41_0 )
| ( epred3_0 @ esk41_0 ) )
<~> ( epred1_0 @ esk41_0 ) )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_108]) ).
thf(c_0_118,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_38]),c_0_112]),c_0_113]) ).
thf(c_0_119,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk40_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_114]),c_0_115]) ).
thf(c_0_120,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk40_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_114]),c_0_113]) ).
thf(c_0_121,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_38]),c_0_112]),c_0_115]) ).
thf(c_0_122,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk41_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_117]),c_0_118]) ).
thf(c_0_123,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_114]),c_0_38]),c_0_119]),c_0_120]) ).
thf(c_0_124,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_125,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk41_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_117]),c_0_121]) ).
thf(c_0_126,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk41_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_38]),c_0_112]),c_0_123]) ).
thf(c_0_127,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_128,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk17_0 )
| ( epred3_0 @ esk17_0 ) )
<~> ( epred1_0 @ esk17_0 ) )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_124]) ).
thf(c_0_129,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_15]) ).
thf(c_0_130,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_16]) ).
thf(c_0_131,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_117]),c_0_38]),c_0_125]),c_0_126]) ).
thf(c_0_132,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk18_0 )
| ( epred3_0 @ esk18_0 ) )
<~> ( epred1_0 @ esk18_0 ) )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_127]) ).
thf(c_0_133,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_127,c_0_15]) ).
thf(c_0_134,negated_conjecture,
! [X5: a,X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_127,c_0_16]) ).
thf(c_0_135,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk17_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_128]),c_0_129]) ).
thf(c_0_136,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk17_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_128]),c_0_129]),c_0_130]) ).
thf(c_0_137,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk17_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_128]),c_0_130]) ).
thf(c_0_138,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_38]),c_0_112]),c_0_123]) ).
thf(c_0_139,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_140,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk18_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_132]),c_0_133]) ).
thf(c_0_141,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk18_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_132]),c_0_134]) ).
thf(c_0_142,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_38]),c_0_136]),c_0_137]) ).
thf(c_0_143,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_118,c_0_138]) ).
thf(c_0_144,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( ( ( epred2_0 @ esk11_0 )
| ( epred3_0 @ esk11_0 ) )
<~> ( epred1_0 @ esk11_0 ) )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_139]) ).
thf(c_0_145,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_15]) ).
thf(c_0_146,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_16]) ).
thf(c_0_147,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk18_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_132]),c_0_140]),c_0_141]) ).
thf(c_0_148,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_149,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
thf(c_0_150,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk11_0 )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_144]),c_0_145]) ).
thf(c_0_151,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk11_0 )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_144]),c_0_146]) ).
thf(c_0_152,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_38]),c_0_147]),c_0_141]) ).
thf(c_0_153,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_143]) ).
thf(c_0_154,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk11_0 )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_144]),c_0_150]),c_0_151]) ).
thf(c_0_155,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_156,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_143]) ).
thf(c_0_157,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( ( ( epred2_0 @ esk46_0 )
| ( epred3_0 @ esk46_0 ) )
<~> ( epred1_0 @ esk46_0 ) )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_153]) ).
thf(c_0_158,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_153,c_0_15]) ).
thf(c_0_159,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_153,c_0_16]) ).
thf(c_0_160,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_38]),c_0_154]),c_0_151]) ).
thf(c_0_161,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_155,c_0_15]) ).
thf(c_0_162,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_156]),c_0_143]) ).
thf(c_0_163,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk46_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_157]),c_0_158]) ).
thf(c_0_164,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk46_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_157]),c_0_159]) ).
thf(c_0_165,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_160,c_0_143]) ).
thf(c_0_166,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_161,c_0_143]) ).
thf(c_0_167,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_16]) ).
thf(c_0_168,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_157]),c_0_38]),c_0_163]),c_0_164]) ).
thf(c_0_169,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_15]) ).
thf(c_0_170,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_165]),c_0_166]) ).
thf(c_0_171,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ( ( ( epred2_0 @ esk47_0 )
| ( epred3_0 @ esk47_0 ) )
<~> ( epred1_0 @ esk47_0 ) )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_162]) ).
thf(c_0_172,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_38]),c_0_165]),c_0_168]) ).
thf(c_0_173,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_174,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_38]),c_0_170]),c_0_168]) ).
thf(c_0_175,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk47_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_171]),c_0_172]) ).
thf(c_0_176,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_177,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk14_0 )
| ( epred3_0 @ esk14_0 ) )
<~> ( epred1_0 @ esk14_0 ) )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_173]) ).
thf(c_0_178,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_173,c_0_15]) ).
thf(c_0_179,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_173,c_0_16]) ).
thf(c_0_180,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk47_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_171]),c_0_174]) ).
thf(c_0_181,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk47_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_38]),c_0_165]),c_0_168]) ).
thf(c_0_182,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ( ( ( epred2_0 @ esk13_0 )
| ( epred3_0 @ esk13_0 ) )
<~> ( epred1_0 @ esk13_0 ) )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(neg_ext,[status(thm)],[c_0_176]) ).
thf(c_0_183,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_15]) ).
thf(c_0_184,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred4_0 @ X5 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X5 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_16]) ).
thf(c_0_185,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk14_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_177]),c_0_178]) ).
thf(c_0_186,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk14_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_177]),c_0_179]) ).
thf(c_0_187,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_171]),c_0_38]),c_0_180]),c_0_181]) ).
thf(c_0_188,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk13_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_182]),c_0_183]) ).
thf(c_0_189,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk13_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_182]),c_0_184]) ).
thf(c_0_190,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk14_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_177]),c_0_185]),c_0_186]) ).
thf(c_0_191,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_38]),c_0_165]),c_0_168]) ).
thf(c_0_192,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk13_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_182]),c_0_188]),c_0_189]) ).
thf(c_0_193,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_38]),c_0_190]),c_0_186]) ).
thf(c_0_194,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_191]) ).
thf(c_0_195,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_38]),c_0_192]),c_0_189]) ).
thf(c_0_196,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_193,c_0_143]) ).
thf(c_0_197,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_194,c_0_191]) ).
thf(c_0_198,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( ( ( epred2_0 @ esk7_0 )
| ( epred3_0 @ esk7_0 ) )
<~> ( epred1_0 @ esk7_0 ) )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_155]) ).
thf(c_0_199,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_155,c_0_16]) ).
thf(c_0_200,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_195,c_0_143]) ).
thf(c_0_201,negated_conjecture,
( ~ ( epred4_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ( epred1_0
!= ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_202,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
thf(c_0_203,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred3_0 @ esk7_0 )
| ~ ( epred1_0 @ esk7_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_198]) ).
thf(c_0_204,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_198]),c_0_161]),c_0_199]) ).
thf(c_0_205,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_200,c_0_197]) ).
thf(c_0_206,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_197]),c_0_143]) ).
thf(c_0_207,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_38]),c_0_204]) ).
thf(c_0_208,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_205]),c_0_197]),c_0_143]) ).
thf(c_0_209,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( ( ( epred2_0 @ esk49_0 )
| ( epred3_0 @ esk49_0 ) )
<~> ( epred1_0 @ esk49_0 ) )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_206]) ).
thf(c_0_210,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_206,c_0_15]) ).
thf(c_0_211,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_206,c_0_16]) ).
thf(c_0_212,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_207,c_0_143]) ).
thf(c_0_213,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_204,c_0_143]) ).
thf(c_0_214,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( ( ( epred2_0 @ esk48_0 )
| ( epred3_0 @ esk48_0 ) )
<~> ( epred1_0 @ esk48_0 ) )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_208]) ).
thf(c_0_215,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_208,c_0_15]) ).
thf(c_0_216,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_208,c_0_16]) ).
thf(c_0_217,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred3_0 @ esk49_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_209]),c_0_210]) ).
thf(c_0_218,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk49_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_209]),c_0_211]) ).
thf(c_0_219,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred1_0 @ esk7_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_198]) ).
thf(c_0_220,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_212,c_0_197]) ).
thf(c_0_221,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_213,c_0_197]) ).
thf(c_0_222,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred3_0 @ esk48_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_214]),c_0_215]) ).
thf(c_0_223,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk48_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_214]),c_0_216]) ).
thf(c_0_224,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk5_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_24]) ).
thf(c_0_225,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk5_0 )
| ~ ( epred1_0 @ esk5_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_24]) ).
thf(c_0_226,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_209]),c_0_38]),c_0_217]),c_0_218]) ).
thf(c_0_227,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_197]),c_0_143]),c_0_221]) ).
thf(c_0_228,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_214]),c_0_38]),c_0_222]),c_0_223]) ).
thf(c_0_229,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_38]),c_0_225]) ).
thf(c_0_230,negated_conjecture,
epred1_0 @ esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_38]),c_0_227]),c_0_228]) ).
thf(c_0_231,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230])]) ).
thf(c_0_232,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_231]),c_0_102]) ).
thf(c_0_233,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_231]),c_0_102]) ).
thf(c_0_234,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_233]) ).
thf(c_0_235,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_233]) ).
thf(c_0_236,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_235]),c_0_75]) ).
thf(c_0_237,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_236]),c_0_35]) ).
thf(c_0_238,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_237,c_0_236]) ).
thf(c_0_239,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_238]) ).
thf(c_0_240,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_239,c_0_238]) ).
thf(c_0_241,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_240]) ).
thf(c_0_242,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_240]) ).
thf(c_0_243,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_241]),c_0_240]) ).
thf(c_0_244,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_242]),c_0_240]) ).
thf(c_0_245,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_16]),c_0_58]) ).
thf(c_0_246,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_16]),c_0_58]) ).
thf(c_0_247,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( ( ( epred2_0 @ esk50_0 )
| ( epred3_0 @ esk50_0 ) )
<~> ( epred1_0 @ esk50_0 ) )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_244]) ).
thf(c_0_248,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_15]),c_0_35]) ).
thf(c_0_249,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_15]),c_0_35]) ).
thf(c_0_250,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( ( ( epred2_0 @ esk51_0 )
| ( epred3_0 @ esk51_0 ) )
<~> ( epred1_0 @ esk51_0 ) )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_243]) ).
thf(c_0_251,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_38]),c_0_235]),c_0_246]) ).
thf(c_0_252,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk50_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_247]),c_0_248]) ).
thf(c_0_253,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk50_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_247]),c_0_246]) ).
thf(c_0_254,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_38]),c_0_235]),c_0_248]) ).
thf(c_0_255,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk51_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_250]),c_0_251]) ).
thf(c_0_256,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_247]),c_0_38]),c_0_252]),c_0_253]) ).
thf(c_0_257,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk51_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_250]),c_0_254]) ).
thf(c_0_258,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk51_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_38]),c_0_233]),c_0_256]) ).
thf(c_0_259,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_250]),c_0_38]),c_0_257]),c_0_258]) ).
thf(c_0_260,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_38]),c_0_233]),c_0_256]) ).
thf(c_0_261,negated_conjecture,
epred1_0 @ esk1_0,
inference(spm,[status(thm)],[c_0_251,c_0_260]) ).
thf(c_0_262,negated_conjecture,
( ( epred1_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_261])]) ).
thf(c_0_263,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_261])]) ).
thf(c_0_264,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_261])]) ).
thf(c_0_265,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_261])]) ).
thf(c_0_266,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_261])]) ).
thf(c_0_267,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_261])]),c_0_262]),c_0_263]) ).
thf(c_0_268,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_261])]) ).
thf(c_0_269,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
thf(c_0_270,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_266]),c_0_267]) ).
thf(c_0_271,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_264,c_0_268]) ).
thf(c_0_272,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_269,c_0_15]) ).
thf(c_0_273,negated_conjecture,
epred1_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_266]),c_0_267]) ).
thf(c_0_274,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_271,c_0_15]) ).
thf(c_0_275,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_269,c_0_16]) ).
thf(c_0_276,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_271,c_0_16]) ).
thf(c_0_277,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( ( ( epred2_0 @ esk55_0 )
| ( epred3_0 @ esk55_0 ) )
<~> ( epred1_0 @ esk55_0 ) )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_269]) ).
thf(c_0_278,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_38]),c_0_273])]),c_0_274]) ).
thf(c_0_279,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_38]),c_0_273])]),c_0_276]) ).
thf(c_0_280,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( ( ( epred2_0 @ esk54_0 )
| ( epred3_0 @ esk54_0 ) )
<~> ( epred1_0 @ esk54_0 ) )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_271]) ).
thf(c_0_281,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk55_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_277]),c_0_278]) ).
thf(c_0_282,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk55_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_277]),c_0_279]) ).
thf(c_0_283,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk54_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_280]),c_0_278]) ).
thf(c_0_284,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk54_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_280]),c_0_279]) ).
thf(c_0_285,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_277]),c_0_38]),c_0_281]),c_0_282]) ).
thf(c_0_286,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_280]),c_0_38]),c_0_283]),c_0_284]) ).
thf(c_0_287,negated_conjecture,
( ( ( ^ [Z0: a] :
( ( epred2_0 @ Z0 )
| ( epred3_0 @ Z0 ) ) )
!= epred1_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_261])]) ).
thf(c_0_288,negated_conjecture,
epred3_0 @ esk2_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_38]),c_0_273])]),c_0_286]) ).
thf(c_0_289,negated_conjecture,
( ( ( ( epred2_0 @ esk52_0 )
| ( epred3_0 @ esk52_0 ) )
<~> ( epred1_0 @ esk52_0 ) )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_287]) ).
thf(c_0_290,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_288]) ).
thf(c_0_291,negated_conjecture,
( ~ ( epred2_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_289]) ).
thf(c_0_292,negated_conjecture,
epred1_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_290,c_0_288]) ).
thf(c_0_293,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_261])]) ).
thf(c_0_294,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_261])]) ).
thf(c_0_295,negated_conjecture,
( ~ ( epred3_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_289]) ).
thf(c_0_296,negated_conjecture,
( ~ ( epred2_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_292])]) ).
thf(c_0_297,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_292])]) ).
thf(c_0_298,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_292])]) ).
thf(c_0_299,negated_conjecture,
( ( epred3_0 @ esk52_0 )
| ( epred2_0 @ esk52_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_289]),c_0_38]) ).
thf(c_0_300,negated_conjecture,
( ~ ( epred3_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_292])]) ).
thf(c_0_301,negated_conjecture,
( ~ ( epred2_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
thf(c_0_302,negated_conjecture,
( ~ ( epred2_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_296,c_0_298]) ).
thf(c_0_303,negated_conjecture,
( ( epred2_0 @ esk52_0 )
| ( epred3_0 @ esk52_0 )
| ~ ( epred4_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_292])]) ).
thf(c_0_304,negated_conjecture,
( ~ ( epred3_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_300,c_0_297]) ).
thf(c_0_305,negated_conjecture,
( ~ ( epred2_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_38]),c_0_273])]),c_0_302]) ).
thf(c_0_306,negated_conjecture,
( ~ ( epred3_0 @ esk52_0 )
| ~ ( epred1_0 @ esk52_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_300,c_0_298]) ).
thf(c_0_307,negated_conjecture,
( ( epred3_0 @ esk52_0 )
| ( epred2_0 @ esk52_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_297]) ).
thf(c_0_308,negated_conjecture,
( ( epred3_0 @ esk52_0 )
| ( epred2_0 @ esk52_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_298]) ).
thf(c_0_309,negated_conjecture,
( ~ ( epred1_0 @ esk52_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_38]),c_0_305]) ).
thf(c_0_310,negated_conjecture,
( ~ ( epred1_0 @ esk52_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_38]),c_0_305]) ).
thf(c_0_311,negated_conjecture,
( ( epred2_0 @ esk52_0 )
| ( epred3_0 @ esk52_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_38]),c_0_273])]),c_0_308]) ).
thf(c_0_312,negated_conjecture,
~ ( epred1_0 @ esk52_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_38]),c_0_273])]),c_0_310]) ).
thf(c_0_313,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk52_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_311]),c_0_312]) ).
thf(c_0_314,negated_conjecture,
epred2_0 @ esk52_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_311]),c_0_312]) ).
thf(c_0_315,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_314]),c_0_312]) ).
thf(c_0_316,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_314]),c_0_312]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET597^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:38:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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/tmp/tmp.hKbUNzmHQq/E---3.1_720348.p
% 44.55/6.76 % Version: 3.5.1-ho
% 44.55/6.76 % Preprocessing class: HSSSSMSSSSSNSSA.
% 44.55/6.76 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 44.55/6.76 % Starting post_as_ho12 with 300s (1) cores
% 44.55/6.76 % Starting new_bool_9 with 300s (1) cores
% 44.55/6.76 % Starting post_as_ho1 with 300s (1) cores
% 44.55/6.76 % Starting post_as_ho4 with 300s (1) cores
% 44.55/6.76 % Starting post_as_ho2 with 300s (1) cores
% 44.55/6.76 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 44.55/6.76 % Starting full_lambda_10 with 300s (1) cores
% 44.55/6.76 % Starting new_ho_8 with 300s (1) cores
% 44.55/6.76 % new_bool_9 with pid 720378 completed with status 0
% 44.55/6.76 % Result found by new_bool_9
% 44.55/6.76 % Preprocessing class: HSSSSMSSSSSNSSA.
% 44.55/6.76 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 44.55/6.76 % Starting post_as_ho12 with 300s (1) cores
% 44.55/6.76 % Starting new_bool_9 with 300s (1) cores
% 44.55/6.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 44.55/6.76 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 44.55/6.76 % Search class: HGHSF-FFMF11-MSSFFSBN
% 44.55/6.76 % partial match(2): HGHSF-FFSF11-SSSFFSBN
% 44.55/6.76 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 44.55/6.76 % Starting SubtermCWHack with 28s (1) cores
% 44.55/6.76 % SubtermCWHack with pid 720385 completed with status 10
% 44.55/6.76 % Starting new_bool_9 with 31s (1) cores
% 44.55/6.76 % new_bool_9 with pid 720393 completed with status 0
% 44.55/6.76 % Result found by new_bool_9
% 44.55/6.76 % Preprocessing class: HSSSSMSSSSSNSSA.
% 44.55/6.76 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 44.55/6.76 % Starting post_as_ho12 with 300s (1) cores
% 44.55/6.76 % Starting new_bool_9 with 300s (1) cores
% 44.55/6.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 44.55/6.76 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 44.55/6.76 % Search class: HGHSF-FFMF11-MSSFFSBN
% 44.55/6.76 % partial match(2): HGHSF-FFSF11-SSSFFSBN
% 44.55/6.76 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 44.55/6.76 % Starting SubtermCWHack with 28s (1) cores
% 44.55/6.76 % SubtermCWHack with pid 720385 completed with status 10
% 44.55/6.76 % Starting new_bool_9 with 31s (1) cores
% 44.55/6.76 % Preprocessing time : 0.002 s
% 44.55/6.76 % Presaturation interreduction done
% 44.55/6.76
% 44.55/6.76 % Proof found!
% 44.55/6.76 % SZS status Theorem
% 44.55/6.76 % SZS output start CNFRefutation
% See solution above
% 44.55/6.76 % Parsed axioms : 2
% 44.55/6.76 % Removed by relevancy pruning/SinE : 1
% 44.55/6.76 % Initial clauses : 22
% 44.55/6.76 % Removed in clause preprocessing : 0
% 44.55/6.76 % Initial clauses in saturation : 22
% 44.55/6.76 % Processed clauses : 5180
% 44.55/6.76 % ...of these trivial : 18
% 44.55/6.76 % ...subsumed : 3387
% 44.55/6.76 % ...remaining for further processing : 1775
% 44.55/6.76 % Other redundant clauses eliminated : 164
% 44.55/6.76 % Clauses deleted for lack of memory : 0
% 44.55/6.76 % Backward-subsumed : 1356
% 44.55/6.76 % Backward-rewritten : 118
% 44.55/6.76 % Generated clauses : 80381
% 44.55/6.76 % ...of the previous two non-redundant : 66802
% 44.55/6.76 % ...aggressively subsumed : 0
% 44.55/6.76 % Contextual simplify-reflections : 949
% 44.55/6.76 % Paramodulations : 77254
% 44.55/6.76 % Factorizations : 199
% 44.55/6.76 % NegExts : 53
% 44.55/6.76 % Equation resolutions : 166
% 44.55/6.76 % Disequality decompositions : 0
% 44.55/6.76 % Total rewrite steps : 244
% 44.55/6.76 % ...of those cached : 238
% 44.55/6.76 % Propositional unsat checks : 0
% 44.55/6.76 % Propositional check models : 0
% 44.55/6.76 % Propositional check unsatisfiable : 0
% 44.55/6.76 % Propositional clauses : 0
% 44.55/6.76 % Propositional clauses after purity: 0
% 44.55/6.76 % Propositional unsat core size : 0
% 44.55/6.76 % Propositional preprocessing time : 0.000
% 44.55/6.76 % Propositional encoding time : 0.000
% 44.55/6.76 % Propositional solver time : 0.000
% 44.55/6.76 % Success case prop preproc time : 0.000
% 44.55/6.76 % Success case prop encoding time : 0.000
% 44.55/6.76 % Success case prop solver time : 0.000
% 44.55/6.76 % Current number of processed clauses : 130
% 44.55/6.76 % Positive orientable unit clauses : 6
% 44.55/6.76 % Positive unorientable unit clauses: 0
% 44.55/6.76 % Negative unit clauses : 3
% 44.55/6.76 % Non-unit-clauses : 121
% 44.55/6.76 % Current number of unprocessed clauses: 59982
% 44.55/6.76 % ...number of literals in the above : 712864
% 44.55/6.76 % Current number of archived formulas : 0
% 44.55/6.76 % Current number of archived clauses : 1645
% 44.55/6.76 % Clause-clause subsumption calls (NU) : 178033
% 44.55/6.76 % Rec. Clause-clause subsumption calls : 24355
% 44.55/6.76 % Non-unit clause-clause subsumptions : 5675
% 44.55/6.76 % Unit Clause-clause subsumption calls : 1015
% 44.55/6.76 % Rewrite failures with RHS unbound : 0
% 44.55/6.76 % BW rewrite match attempts : 6
% 44.55/6.76 % BW rewrite match successes : 6
% 44.55/6.76 % Condensation attempts : 0
% 44.55/6.76 % Condensation successes : 0
% 44.55/6.76 % Termbank termtop insertions : 17368513
% 44.55/6.76 % Search garbage collected termcells : 484
% 44.55/6.76
% 44.55/6.76 % -------------------------------------------------
% 44.55/6.76 % User time : 6.224 s
% 44.55/6.76 % System time : 0.079 s
% 44.55/6.76 % Total time : 6.303 s
% 44.55/6.76 % Maximum resident set size: 3632 pages
% 44.55/6.76
% 44.55/6.76 % -------------------------------------------------
% 44.55/6.76 % User time : 6.225 s
% 44.55/6.76 % System time : 0.086 s
% 44.55/6.76 % Total time : 6.311 s
% 44.55/6.76 % Maximum resident set size: 4608 pages
% 44.55/6.76 % E exiting
%------------------------------------------------------------------------------