TSTP Solution File: SEV109^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV109^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 04:07:37 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 6 unt; 14 typ; 0 def)
% Number of atoms : 156 ( 0 equ; 0 cnn)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 827 ( 48 ~; 91 |; 35 &; 617 @)
% ( 1 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 146 ( 146 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 3 con; 0-7 aty)
% Number of variables : 152 ( 0 ^ 152 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_3: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(decl_23,type,
epred2_0: a > a > $o ).
thf(decl_24,type,
epred3_0: a > a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_28,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_29,type,
esk5_1: ( a > a > $o ) > a ).
thf(decl_30,type,
esk6_1: ( a > a > $o ) > a ).
thf(decl_31,type,
esk7_1: ( a > a > $o ) > a ).
thf(decl_32,type,
epred4_0: a > a > $o ).
thf(decl_33,type,
epred5_5: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a > a > a > a > $o ).
thf(decl_34,type,
epred6_5: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a > a > a > a > $o ).
thf(cTHM251F_pme,conjecture,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X5 @ X8 @ X9 )
& ( X5 @ X9 @ X10 ) )
=> ( X5 @ X8 @ X10 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X11: a > a > $o] :
( ( ! [X12: a,X13: a] :
( ( ! [X14: a > a > $o] :
( ( ! [X15: a,X16: a] :
( ( X1 @ X15 @ X16 )
=> ( X14 @ X15 @ X16 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X14 @ X8 @ X9 )
& ( X14 @ X9 @ X10 ) )
=> ( X14 @ X8 @ X10 ) ) )
=> ( X14 @ X12 @ X13 ) )
| ! [X17: a > a > $o] :
( ( ! [X18: a,X19: a] :
( ( X2 @ X18 @ X19 )
=> ( X17 @ X18 @ X19 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X17 @ X8 @ X9 )
& ( X17 @ X9 @ X10 ) )
=> ( X17 @ X8 @ X10 ) ) )
=> ( X17 @ X12 @ X13 ) ) )
=> ( X11 @ X12 @ X13 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X11 @ X8 @ X9 )
& ( X11 @ X9 @ X10 ) )
=> ( X11 @ X8 @ X10 ) ) )
=> ( X11 @ X3 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251F_pme) ).
thf(c_0_1,plain,
! [X1: a > a > $o,X2: a > a > $o,X11: a > a > $o] :
( ( epred1_3 @ X11 @ X2 @ X1 )
<=> ( ! [X12: a,X13: a] :
( ( ! [X14: a > a > $o] :
( ( ! [X15: a,X16: a] :
( ( X1 @ X15 @ X16 )
=> ( X14 @ X15 @ X16 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X14 @ X8 @ X9 )
& ( X14 @ X9 @ X10 ) )
=> ( X14 @ X8 @ X10 ) ) )
=> ( X14 @ X12 @ X13 ) )
| ! [X17: a > a > $o] :
( ( ! [X18: a,X19: a] :
( ( X2 @ X18 @ X19 )
=> ( X17 @ X18 @ X19 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X17 @ X8 @ X9 )
& ( X17 @ X9 @ X10 ) )
=> ( X17 @ X8 @ X10 ) ) )
=> ( X17 @ X12 @ X13 ) ) )
=> ( X11 @ X12 @ X13 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X11 @ X8 @ X9 )
& ( X11 @ X9 @ X10 ) )
=> ( X11 @ X8 @ X10 ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X1: a > a > $o,X2: a > a > $o,X11: a > a > $o] :
( ( epred1_3 @ X11 @ X2 @ X1 )
=> ( ! [X12: a,X13: a] :
( ( ! [X14: a > a > $o] :
( ( ! [X15: a,X16: a] :
( ( X1 @ X15 @ X16 )
=> ( X14 @ X15 @ X16 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X14 @ X8 @ X9 )
& ( X14 @ X9 @ X10 ) )
=> ( X14 @ X8 @ X10 ) ) )
=> ( X14 @ X12 @ X13 ) )
| ! [X17: a > a > $o] :
( ( ! [X18: a,X19: a] :
( ( X2 @ X18 @ X19 )
=> ( X17 @ X18 @ X19 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X17 @ X8 @ X9 )
& ( X17 @ X9 @ X10 ) )
=> ( X17 @ X8 @ X10 ) ) )
=> ( X17 @ X12 @ X13 ) ) )
=> ( X11 @ X12 @ X13 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X11 @ X8 @ X9 )
& ( X11 @ X9 @ X10 ) )
=> ( X11 @ X8 @ X10 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: a > a > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) )
& ! [X8: a,X9: a,X10: a] :
( ( ( X5 @ X8 @ X9 )
& ( X5 @ X9 @ X10 ) )
=> ( X5 @ X8 @ X10 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X11: a > a > $o] :
( ( epred1_3 @ X11 @ X2 @ X1 )
=> ( X11 @ X3 @ X4 ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM251F_pme]),c_0_1]) ).
thf(c_0_4,plain,
! [X59: a > a > $o,X60: a > a > $o,X61: a > a > $o,X62: a,X63: a,X65: a,X66: a,X67: a,X68: a,X69: a,X71: a,X72: a,X73: a,X74: a,X75: a,X76: a,X77: a,X78: a] :
( ( ~ ( X59 @ X65 @ X66 )
| ( epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X65 @ X66 )
| ( X61 @ X62 @ X63 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) )
& ( ~ ( epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X67 @ X68 )
| ~ ( epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X68 @ X69 )
| ( epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X67 @ X69 )
| ( X61 @ X62 @ X63 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) )
& ( ~ ( epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X62 @ X63 )
| ( X61 @ X62 @ X63 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) )
& ( ~ ( X60 @ X71 @ X72 )
| ( epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X71 @ X72 )
| ( X61 @ X62 @ X63 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) )
& ( ~ ( epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X73 @ X74 )
| ~ ( epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X74 @ X75 )
| ( epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X73 @ X75 )
| ( X61 @ X62 @ X63 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) )
& ( ~ ( epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X62 @ X63 )
| ( X61 @ X62 @ X63 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) )
& ( ~ ( X61 @ X76 @ X77 )
| ~ ( X61 @ X77 @ X78 )
| ( X61 @ X76 @ X78 )
| ~ ( epred1_3 @ X61 @ X60 @ X59 ) ) ),
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_5,negated_conjecture,
! [X52: a > a > $o] :
( ( ( X52 @ ( esk5_1 @ X52 ) @ ( esk6_1 @ X52 ) )
| ( epred2_0 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( epred3_0 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( X52 @ esk1_0 @ esk2_0 ) )
& ( ( X52 @ ( esk6_1 @ X52 ) @ ( esk7_1 @ X52 ) )
| ( epred2_0 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( epred3_0 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( X52 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X52 @ ( esk5_1 @ X52 ) @ ( esk7_1 @ X52 ) )
| ( epred2_0 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( epred3_0 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( X52 @ esk1_0 @ esk2_0 ) )
& ( ( X52 @ ( esk5_1 @ X52 ) @ ( esk6_1 @ X52 ) )
| ~ ( X52 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( X52 @ esk1_0 @ esk2_0 ) )
& ( ( X52 @ ( esk6_1 @ X52 ) @ ( esk7_1 @ X52 ) )
| ~ ( X52 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( X52 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X52 @ ( esk5_1 @ X52 ) @ ( esk7_1 @ X52 ) )
| ~ ( X52 @ ( esk3_1 @ X52 ) @ ( esk4_1 @ X52 ) )
| ( X52 @ esk1_0 @ esk2_0 ) )
& ( epred1_3 @ epred4_0 @ epred3_0 @ epred2_0 )
& ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
thf(c_0_6,plain,
! [X1: a > a > $o,X2: a > a > $o,X4: a,X3: a,X6: a,X5: a > a > $o] :
( ( X1 @ X3 @ X6 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( X1 @ X4 @ X6 )
| ~ ( epred1_3 @ X1 @ X2 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
epred1_3 @ epred4_0 @ epred3_0 @ epred2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X3: a,X4: a,X6: a] :
( ( epred4_0 @ X3 @ X4 )
| ~ ( epred4_0 @ X6 @ X4 )
| ~ ( epred4_0 @ X3 @ X6 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( epred2_0 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( epred3_0 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,negated_conjecture,
~ ( epred4_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_11,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ X3 @ ( esk7_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk6_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_12,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk6_1 @ X1 ) )
| ( epred2_0 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( epred3_0 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_13,plain,
! [X3: a,X7: a,X6: a,X5: a > a > $o,X4: a,X2: a > a > $o,X1: a > a > $o] :
( ( epred5_5 @ X1 @ X2 @ X5 @ X6 @ X7 @ X3 @ X4 )
| ( X5 @ X6 @ X7 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_14,negated_conjecture,
! [X1: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( epred3_0 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_15,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk7_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).
thf(c_0_16,negated_conjecture,
! [X3: a,X4: a,X6: a,X7: a] :
( ( epred5_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ X6 @ X7 )
| ( epred4_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X6 @ X7 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
thf(c_0_17,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10]) ).
thf(c_0_18,plain,
! [X3: a,X5: a > a > $o,X4: a,X2: a > a > $o,X1: a > a > $o] :
( ( X5 @ X3 @ X4 )
| ~ ( epred5_5 @ X1 @ X2 @ X5 @ X3 @ X4 @ X3 @ X4 )
| ~ ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_19,negated_conjecture,
! [X3: a,X4: a] :
( ( epred5_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_20,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ ( esk6_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_21,plain,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_7])]) ).
thf(c_0_22,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) @ ( esk7_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_10]) ).
thf(c_0_23,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk6_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_24,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ X3 @ ( esk7_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_22]) ).
thf(c_0_25,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_10]) ).
thf(c_0_26,plain,
! [X1: a > a > $o,X7: a,X6: a,X5: a > a > $o,X4: a,X3: a,X2: a > a > $o] :
( ( epred6_5 @ X2 @ X1 @ X5 @ X6 @ X7 @ X3 @ X4 )
| ( X5 @ X6 @ X7 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( epred1_3 @ X5 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_27,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk5_1 @ X1 ) @ ( esk7_1 @ X1 ) )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_28,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk7_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_29,negated_conjecture,
! [X3: a,X4: a,X6: a,X7: a] :
( ( epred6_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ X6 @ X7 )
| ( epred4_0 @ X3 @ X4 )
| ~ ( epred3_0 @ X6 @ X7 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
thf(c_0_30,negated_conjecture,
epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_10]),c_0_21]) ).
thf(c_0_31,plain,
! [X3: a,X5: a > a > $o,X4: a,X2: a > a > $o,X1: a > a > $o] :
( ( X5 @ X3 @ X4 )
| ~ ( epred6_5 @ X1 @ X2 @ X5 @ X3 @ X4 @ X3 @ X4 )
| ~ ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_32,negated_conjecture,
! [X3: a,X4: a] :
( ( epred6_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_33,plain,
epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_7])]) ).
thf(c_0_34,negated_conjecture,
epred4_0 @ ( esk6_1 @ epred4_0 ) @ ( esk7_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_33]),c_0_10]) ).
thf(c_0_35,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 @ ( esk7_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_34]) ).
thf(c_0_36,negated_conjecture,
epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_33]),c_0_10]) ).
thf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_35]),c_0_33]),c_0_36])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV109^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 18:50:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running higher-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 # Version: 3.1.0-ho
% 0.19/0.50 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.50 # Starting new_ho_3 with 300s (1) cores
% 0.19/0.50 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.50 # post_as_ho1 with pid 24518 completed with status 0
% 0.19/0.50 # Result found by post_as_ho1
% 0.19/0.50 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: HGUNF-FFMF11-SSSFFMBN
% 0.19/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 # Starting new_ho_10 with 811s (1) cores
% 0.19/0.50 # Starting post_as_ho1 with 151s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.50 # Starting new_bool_2 with 136s (1) cores
% 0.19/0.50 # Starting new_bool_9 with 136s (1) cores
% 0.19/0.50 # post_as_ho1 with pid 24526 completed with status 0
% 0.19/0.50 # Result found by post_as_ho1
% 0.19/0.50 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: HGUNF-FFMF11-SSSFFMBN
% 0.19/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 # Starting new_ho_10 with 811s (1) cores
% 0.19/0.50 # Starting post_as_ho1 with 151s (1) cores
% 0.19/0.50 # Preprocessing time : 0.001 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 2
% 0.19/0.50 # Removed by relevancy pruning/SinE : 0
% 0.19/0.50 # Initial clauses : 16
% 0.19/0.50 # Removed in clause preprocessing : 1
% 0.19/0.50 # Initial clauses in saturation : 15
% 0.19/0.50 # Processed clauses : 62
% 0.19/0.50 # ...of these trivial : 2
% 0.19/0.50 # ...subsumed : 0
% 0.19/0.50 # ...remaining for further processing : 60
% 0.19/0.50 # Other redundant clauses eliminated : 0
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 3
% 0.19/0.50 # Backward-rewritten : 9
% 0.19/0.50 # Generated clauses : 57
% 0.19/0.50 # ...of the previous two non-redundant : 54
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 1
% 0.19/0.50 # Paramodulations : 54
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 0
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 21
% 0.19/0.50 # ...of those cached : 16
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 33
% 0.19/0.50 # Positive orientable unit clauses : 5
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 1
% 0.19/0.50 # Non-unit-clauses : 27
% 0.19/0.50 # Current number of unprocessed clauses: 17
% 0.19/0.50 # ...number of literals in the above : 93
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 27
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 344
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 130
% 0.19/0.50 # Non-unit clause-clause subsumptions : 4
% 0.19/0.50 # Unit Clause-clause subsumption calls : 28
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 1
% 0.19/0.50 # BW rewrite match successes : 1
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 4097
% 0.19/0.50 # Search garbage collected termcells : 759
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.010 s
% 0.19/0.50 # System time : 0.004 s
% 0.19/0.50 # Total time : 0.014 s
% 0.19/0.50 # Maximum resident set size: 1908 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.046 s
% 0.19/0.50 # System time : 0.010 s
% 0.19/0.50 # Total time : 0.056 s
% 0.19/0.50 # Maximum resident set size: 1732 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------