%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV008^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:34:32 AM UTC 2026
% Result : Theorem 0.21s 0.31s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 152 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 571 ( 20 equ; 0 cnn)
% Maximal formula atoms : 105 ( 3 avg)
% Number of connectives : 1815 ( 430 ~; 515 |; 69 &; 785 @)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 127 ( 127 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 187 ( 0 ^; 171 !; 16 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( a > $o ) > $o ).
thf(decl_24,type,
esk1_1: ( a > $o ) > a ).
thf(decl_25,type,
epred2_1: a > a > $o ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_0: a ).
thf(decl_28,type,
esk4_0: a ).
thf(decl_29,type,
epred3_0: a > $o ).
thf(decl_30,type,
esk5_0: a ).
thf(decl_31,type,
esk6_0: a ).
thf(decl_32,type,
esk7_0: a ).
thf(decl_33,type,
epred4_0: a > $o ).
thf(decl_34,type,
epred5_0: a > $o ).
thf(cTHM261_pme,conjecture,
! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ( ! [X4: a] :
? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X4 ) )
& ! [X4: a,X7: a] :
( ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X7 ) )
=> ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X7 )
& ( X6 @ X4 ) ) )
& ! [X4: a,X7: a,X3: a] :
( ( ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X7 ) )
& ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X7 )
& ( X6 @ X3 ) ) )
=> ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OS5yJBIq9r/E---3.1_1398543.p',cTHM261_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
& ! [X4: a] :
? [X2: a > $o] :
( ( X1 @ X2 )
& ( X2 @ X4 )
& ! [X5: a > $o] :
( ( ( X1 @ X5 )
& ( X5 @ X4 ) )
=> ( X5 = X2 ) ) ) )
=> ( ! [X4: a] :
? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X4 ) )
& ! [X4: a,X7: a] :
( ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X7 ) )
=> ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X7 )
& ( X6 @ X4 ) ) )
& ! [X4: a,X7: a,X3: a] :
( ( ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X7 ) )
& ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X7 )
& ( X6 @ X3 ) ) )
=> ? [X6: a > $o] :
( ( X1 @ X6 )
& ( X6 @ X4 )
& ( X6 @ X3 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM261_pme]) ).
thf(c_0_2,negated_conjecture,
! [X27: a > $o,X29: a,X31: a > $o,X33: a > $o,X37: a > $o,X43: a > $o] :
( ( ~ ( epred1_0 @ X27 )
| ( X27 @ ( esk1_1 @ X27 ) ) )
& ( epred1_0 @ ( epred2_1 @ X29 ) )
& ( epred2_1 @ X29 @ X29 )
& ( ~ ( epred1_0 @ X31 )
| ~ ( X31 @ X29 )
| ( X31
= ( epred2_1 @ X29 ) ) )
& ( ( epred1_0 @ epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk7_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X43 )
| ~ ( X43 @ esk5_0 )
| ~ ( X43 @ esk7_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk7_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X43 )
| ~ ( X43 @ esk5_0 )
| ~ ( X43 @ esk7_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk6_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk7_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X43 )
| ~ ( X43 @ esk5_0 )
| ~ ( X43 @ esk7_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) )
& ( ~ ( epred1_0 @ X43 )
| ~ ( X43 @ esk5_0 )
| ~ ( X43 @ esk7_0 )
| ~ ( epred1_0 @ X37 )
| ~ ( X37 @ esk4_0 )
| ~ ( X37 @ esk3_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk2_0 )
| ~ ( X33 @ esk2_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X3: a] : ( epred1_0 @ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( X2
= ( epred2_1 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
thf(c_0_11,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_7])]) ).
thf(c_0_12,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ X3 )
= epred5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ X3 )
= epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
thf(c_0_16,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk7_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
! [X3: a] :
( ( epred5_0 = epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred5_0 @ X3 )
| ~ ( epred4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_6]),c_0_7])]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred4_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_6]),c_0_7])]) ).
thf(c_0_23,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(cn,[status(thm)],[c_0_18]) ).
thf(c_0_24,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_19]) ).
thf(c_0_25,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
thf(c_0_26,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_27,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk4_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_28,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_6]),c_0_7])]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_6]),c_0_7])]) ).
thf(c_0_31,negated_conjecture,
! [X51: a] :
( ( ( epred5_0 @ X51 )
<=> ( epred4_0 @ X51 ) )
| ( epred1_0 @ epred3_0 ) ),
inference(arg_cong,[status(thm)],[c_0_25]) ).
thf(c_0_32,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_26]) ).
thf(c_0_33,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_34,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk4_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_35,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_37,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_27]) ).
thf(c_0_38,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_28]) ).
thf(c_0_39,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ~ ( epred5_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_10]) ).
thf(c_0_40,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ X3 )
| ~ ( epred4_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_31]) ).
thf(c_0_41,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_6]),c_0_7])]) ).
thf(c_0_42,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_33]) ).
thf(c_0_43,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_34]) ).
thf(c_0_44,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_35]) ).
thf(c_0_45,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_36]) ).
thf(c_0_46,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_6]),c_0_7])]) ).
thf(c_0_47,negated_conjecture,
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_6]),c_0_7])]) ).
thf(c_0_48,negated_conjecture,
epred1_0 @ epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
thf(c_0_49,negated_conjecture,
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_6]),c_0_7])]) ).
thf(c_0_50,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_6]),c_0_7])]) ).
thf(c_0_51,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_6]),c_0_7])]) ).
thf(c_0_52,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_6]),c_0_7])]) ).
thf(c_0_53,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_54,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_55,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_56,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk6_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_57,negated_conjecture,
epred1_0 @ epred4_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_49]) ).
thf(c_0_58,negated_conjecture,
epred1_0 @ epred5_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_48])]),c_0_52]) ).
thf(c_0_59,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_53]) ).
thf(c_0_60,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_54]) ).
thf(c_0_61,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_55]) ).
thf(c_0_62,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_56]) ).
thf(c_0_63,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_64,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk7_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_65,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ X3 )
= epred4_0 )
| ~ ( epred4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_57]) ).
thf(c_0_66,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ X3 )
= epred5_0 )
| ~ ( epred5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_58]) ).
thf(c_0_67,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_7]) ).
thf(c_0_68,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk3_0 )
| ( epred4_0 @ esk6_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_7]) ).
thf(c_0_69,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_70,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk7_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_71,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk4_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_7]) ).
thf(c_0_72,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk4_0 )
| ( epred4_0 @ esk6_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_7]) ).
thf(c_0_73,negated_conjecture,
! [X3: a,X4: a] :
( ( ( epred2_1 @ X3 )
= ( epred2_1 @ X4 ) )
| ~ ( epred2_1 @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
thf(c_0_74,negated_conjecture,
! [X2: a > $o] :
( ( X2 @ ( esk1_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_75,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(cn,[status(thm)],[c_0_63]) ).
thf(c_0_76,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_64]) ).
thf(c_0_77,negated_conjecture,
! [X3: a] :
( ( epred5_0 = epred4_0 )
| ~ ( epred4_0 @ X3 )
| ~ ( epred5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
thf(c_0_78,negated_conjecture,
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_6]) ).
thf(c_0_79,negated_conjecture,
( ( epred4_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_6]) ).
thf(c_0_80,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_81,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(cn,[status(thm)],[c_0_69]) ).
thf(c_0_82,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_70]) ).
thf(c_0_83,negated_conjecture,
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_6]) ).
thf(c_0_84,negated_conjecture,
( ( epred4_0 @ esk6_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_6]) ).
thf(c_0_85,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 )
| ~ ( X2 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_86,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk1_1 @ ( epred2_1 @ X3 ) ) )
= ( epred2_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_7])]) ).
thf(c_0_87,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk4_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_88,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_7]) ).
thf(c_0_89,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ esk7_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_7]) ).
thf(c_0_90,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
thf(c_0_91,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_80]) ).
thf(c_0_92,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_7]) ).
thf(c_0_93,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk4_0 )
| ( epred5_0 @ esk7_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_7]) ).
thf(c_0_94,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_83]),c_0_84]) ).
thf(c_0_95,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk2_0 ) ),
inference(cn,[status(thm)],[c_0_85]) ).
thf(c_0_96,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk4_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_97,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk1_1 @ epred5_0 ) )
= epred5_0 )
| ~ ( epred5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_66]) ).
thf(c_0_98,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_87]) ).
thf(c_0_99,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_6]) ).
thf(c_0_100,negated_conjecture,
( ( epred5_0 @ esk7_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_6]) ).
thf(c_0_101,negated_conjecture,
! [X83: a] :
( ( ( epred5_0 @ X83 )
<=> ( epred4_0 @ X83 ) )
| ( epred3_0 @ esk3_0 ) ),
inference(arg_cong,[status(thm)],[c_0_90]) ).
thf(c_0_102,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk3_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_7]) ).
thf(c_0_103,negated_conjecture,
! [X2: a > $o] :
( ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_6]) ).
thf(c_0_104,negated_conjecture,
( ( epred5_0 @ esk7_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_6]) ).
thf(c_0_105,negated_conjecture,
! [X84: a] :
( ( ( epred5_0 @ X84 )
<=> ( epred4_0 @ X84 ) )
| ( epred3_0 @ esk4_0 ) ),
inference(arg_cong,[status(thm)],[c_0_94]) ).
thf(c_0_106,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk4_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_7]) ).
thf(c_0_107,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_96]) ).
thf(c_0_108,negated_conjecture,
! [X3: a] :
( ( ( epred2_1 @ ( esk1_1 @ epred4_0 ) )
= epred4_0 )
| ~ ( epred4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_65]) ).
thf(c_0_109,negated_conjecture,
( ( epred2_1 @ ( esk1_1 @ epred5_0 ) )
= epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_74]),c_0_58])]) ).
thf(c_0_110,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_7]) ).
thf(c_0_111,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ~ ( epred5_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_58]),c_0_100]) ).
thf(c_0_112,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ X3 )
| ~ ( epred4_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_101]) ).
thf(c_0_113,negated_conjecture,
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_6]) ).
thf(c_0_114,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ~ ( epred5_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_58]),c_0_104]) ).
thf(c_0_115,negated_conjecture,
! [X3: a] :
( ( epred3_0 @ esk4_0 )
| ( epred5_0 @ X3 )
| ~ ( epred4_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_105]) ).
thf(c_0_116,negated_conjecture,
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_6]) ).
thf(c_0_117,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred4_0 @ esk6_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_107,c_0_7]) ).
thf(c_0_118,negated_conjecture,
( ( epred2_1 @ ( esk1_1 @ epred4_0 ) )
= epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_74]),c_0_57])]) ).
thf(c_0_119,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk4_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_120,negated_conjecture,
! [X2: a > $o,X5: a > $o,X6: a > $o] :
( ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk4_0 )
| ~ ( X5 @ esk3_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X6 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_121,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk4_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk2_0 )
| ~ ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_122,negated_conjecture,
! [X57: a,X3: a] :
( ( ( epred2_1 @ X3 @ X57 )
<=> ( epred4_0 @ X57 ) )
| ~ ( epred4_0 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_65]) ).
thf(c_0_123,negated_conjecture,
! [X75: a] :
( ( epred2_1 @ ( esk1_1 @ epred5_0 ) @ X75 )
<=> ( epred5_0 @ X75 ) ),
inference(arg_cong,[status(thm)],[c_0_109]) ).
thf(c_0_124,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_6]) ).
thf(c_0_125,negated_conjecture,
epred3_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
thf(c_0_126,negated_conjecture,
epred3_0 @ esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
thf(c_0_127,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_6]) ).
thf(c_0_128,negated_conjecture,
! [X60: a] :
( ( epred2_1 @ ( esk1_1 @ epred4_0 ) @ X60 )
<=> ( epred4_0 @ X60 ) ),
inference(arg_cong,[status(thm)],[c_0_118]) ).
thf(c_0_129,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_119]) ).
thf(c_0_130,negated_conjecture,
! [X6: a > $o,X5: a > $o,X2: a > $o] :
( ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X6 @ esk2_0 )
| ~ ( X5 @ esk3_0 )
| ~ ( X5 @ esk4_0 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(cn,[status(thm)],[c_0_120]) ).
thf(c_0_131,negated_conjecture,
! [X5: a > $o,X2: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X2 )
| ~ ( X5 @ esk2_0 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_121]) ).
thf(c_0_132,negated_conjecture,
! [X3: a,X4: a] :
( ( epred4_0 @ X3 )
| ~ ( epred2_1 @ X4 @ X3 )
| ~ ( epred4_0 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_122]) ).
thf(c_0_133,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk1_1 @ epred5_0 ) @ X3 )
| ~ ( epred5_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_123]) ).
thf(c_0_134,negated_conjecture,
epred5_0 @ esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_48]),c_0_125]),c_0_126])]) ).
thf(c_0_135,negated_conjecture,
epred4_0 @ esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_48]),c_0_125]),c_0_126])]) ).
thf(c_0_136,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 )
| ~ ( epred2_1 @ ( esk1_1 @ epred4_0 ) @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_128]) ).
thf(c_0_137,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred5_0 @ esk7_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_7]) ).
thf(c_0_138,negated_conjecture,
! [X2: a > $o,X3: a,X5: a > $o] :
( ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X5 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 )
| ~ ( X5 @ esk5_0 )
| ~ ( X5 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_130,c_0_7]) ).
thf(c_0_139,negated_conjecture,
! [X3: a,X2: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred2_1 @ X3 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_131,c_0_7]) ).
thf(c_0_140,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 )
| ~ ( epred4_0 @ ( esk1_1 @ epred5_0 ) )
| ~ ( epred5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
thf(c_0_141,negated_conjecture,
epred5_0 = epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_134]),c_0_135])]) ).
thf(c_0_142,negated_conjecture,
epred4_0 @ ( esk1_1 @ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_74]),c_0_118]),c_0_118]),c_0_57])]) ).
thf(c_0_143,negated_conjecture,
! [X2: a > $o] :
( ( epred5_0 @ esk7_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_6]) ).
thf(c_0_144,negated_conjecture,
! [X2: a > $o,X5: a > $o] :
( ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X5 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 )
| ~ ( X5 @ esk5_0 )
| ~ ( X5 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_138,c_0_6]) ).
thf(c_0_145,negated_conjecture,
! [X2: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk3_0 )
| ~ ( X2 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_6]) ).
thf(c_0_146,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 )
| ~ ( epred5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]) ).
thf(c_0_147,negated_conjecture,
epred5_0 @ esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_48]),c_0_125]),c_0_126])]) ).
thf(c_0_148,negated_conjecture,
! [X2: a > $o] :
( ~ ( epred1_0 @ X2 )
| ~ ( X2 @ esk5_0 )
| ~ ( X2 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_48]),c_0_125]),c_0_126])]) ).
thf(c_0_149,negated_conjecture,
epred4_0 @ esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_48]),c_0_125]),c_0_126])]) ).
thf(c_0_150,negated_conjecture,
epred4_0 @ esk7_0,
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
thf(c_0_151,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_57]),c_0_149]),c_0_150])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV008^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % 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 14:59:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.OS5yJBIq9r/E---3.1_1398543.p
% 0.21/0.31 % Version: 3.5.1-ho
% 0.21/0.31 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.21/0.31 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.31 % Starting full_lambda_6 with 900s (3) cores
% 0.21/0.31 % Starting post_as_ho1 with 300s (1) cores
% 0.21/0.31 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.21/0.31 % Starting ho_unfolding_1 with 300s (1) cores
% 0.21/0.31 % Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.31 % Starting ho_unfolding_2 with 300s (1) cores
% 0.21/0.31 % full_lambda_6 with pid 1398556 completed with status 0
% 0.21/0.31 % Result found by full_lambda_6
% 0.21/0.31 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.21/0.31 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.31 % Starting full_lambda_6 with 900s (3) cores
% 0.21/0.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.21/0.31 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.21/0.31 % Search class: HGHSS-FFMF11-SHHFFMBN
% 0.21/0.31 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 0.21/0.31 % Starting SubtermCWHack with 91s (1) cores
% 0.21/0.31 % Starting full_lambda_6 with 541s (1) cores
% 0.21/0.31 % Starting ho_unfolding_1 with 91s (1) cores
% 0.21/0.31 % SubtermCWHack with pid 1398563 completed with status 0
% 0.21/0.31 % Result found by SubtermCWHack
% 0.21/0.31 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.21/0.31 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.31 % Starting full_lambda_6 with 900s (3) cores
% 0.21/0.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.21/0.31 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.21/0.31 % Search class: HGHSS-FFMF11-SHHFFMBN
% 0.21/0.31 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 0.21/0.31 % Starting SubtermCWHack with 91s (1) cores
% 0.21/0.31 % Preprocessing time : 0.001 s
% 0.21/0.31
% 0.21/0.31 % Proof found!
% 0.21/0.31 % SZS status Theorem
% 0.21/0.31 % SZS output start CNFRefutation
% See solution above
% 0.21/0.31 % Parsed axioms : 2
% 0.21/0.31 % Removed by relevancy pruning/SinE : 1
% 0.21/0.31 % Initial clauses : 32
% 0.21/0.31 % Removed in clause preprocessing : 0
% 0.21/0.31 % Initial clauses in saturation : 32
% 0.21/0.31 % Processed clauses : 1739
% 0.21/0.31 % ...of these trivial : 33
% 0.21/0.31 % ...subsumed : 1135
% 0.21/0.31 % ...remaining for further processing : 571
% 0.21/0.31 % Other redundant clauses eliminated : 0
% 0.21/0.31 % Clauses deleted for lack of memory : 0
% 0.21/0.31 % Backward-subsumed : 173
% 0.21/0.31 % Backward-rewritten : 160
% 0.21/0.31 % Generated clauses : 4270
% 0.21/0.31 % ...of the previous two non-redundant : 3580
% 0.21/0.31 % ...aggressively subsumed : 0
% 0.21/0.31 % Contextual simplify-reflections : 20
% 0.21/0.31 % Paramodulations : 4097
% 0.21/0.31 % Factorizations : 0
% 0.21/0.31 % NegExts : 0
% 0.21/0.31 % Equation resolutions : 0
% 0.21/0.31 % Disequality decompositions : 0
% 0.21/0.31 % Total rewrite steps : 1496
% 0.21/0.31 % ...of those cached : 1464
% 0.21/0.31 % Propositional unsat checks : 0
% 0.21/0.31 % Propositional check models : 0
% 0.21/0.31 % Propositional check unsatisfiable : 0
% 0.21/0.31 % Propositional clauses : 0
% 0.21/0.31 % Propositional clauses after purity: 0
% 0.21/0.31 % Propositional unsat core size : 0
% 0.21/0.31 % Propositional preprocessing time : 0.000
% 0.21/0.31 % Propositional encoding time : 0.000
% 0.21/0.31 % Propositional solver time : 0.000
% 0.21/0.31 % Success case prop preproc time : 0.000
% 0.21/0.31 % Success case prop encoding time : 0.000
% 0.21/0.31 % Success case prop solver time : 0.000
% 0.21/0.31 % Current number of processed clauses : 196
% 0.21/0.31 % Positive orientable unit clauses : 21
% 0.21/0.31 % Positive unorientable unit clauses: 0
% 0.21/0.31 % Negative unit clauses : 0
% 0.21/0.31 % Non-unit-clauses : 175
% 0.21/0.31 % Current number of unprocessed clauses: 1232
% 0.21/0.31 % ...number of literals in the above : 4824
% 0.21/0.31 % Current number of archived formulas : 0
% 0.21/0.31 % Current number of archived clauses : 375
% 0.21/0.31 % Clause-clause subsumption calls (NU) : 62022
% 0.21/0.31 % Rec. Clause-clause subsumption calls : 49494
% 0.21/0.31 % Non-unit clause-clause subsumptions : 1306
% 0.21/0.31 % Unit Clause-clause subsumption calls : 305
% 0.21/0.31 % Rewrite failures with RHS unbound : 0
% 0.21/0.31 % BW rewrite match attempts : 18
% 0.21/0.31 % BW rewrite match successes : 15
% 0.21/0.31 % Condensation attempts : 0
% 0.21/0.31 % Condensation successes : 0
% 0.21/0.31 % Termbank termtop insertions : 50680
% 0.21/0.31 % Search garbage collected termcells : 565
% 0.21/0.31
% 0.21/0.31 % -------------------------------------------------
% 0.21/0.31 % User time : 0.053 s
% 0.21/0.31 % System time : 0.006 s
% 0.21/0.31 % Total time : 0.059 s
% 0.21/0.31 % Maximum resident set size: 3584 pages
% 0.21/0.31
% 0.21/0.31 % -------------------------------------------------
% 0.21/0.31 % User time : 0.107 s
% 0.21/0.31 % System time : 0.013 s
% 0.21/0.31 % Total time : 0.120 s
% 0.21/0.31 % Maximum resident set size: 4864 pages
% 0.21/0.31 % E exiting
%------------------------------------------------------------------------------