%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV009^5 : 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 : n010.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 08:35:38 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 116 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 456 ( 15 equ; 0 cnn)
% Maximal formula atoms : 104 ( 3 avg)
% Number of connectives : 1531 ( 376 ~; 448 |; 66 &; 632 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 115 ( 115 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 138 ( 0 ^; 124 !; 14 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( a > $o ) > $o ).
thf(decl_24,type,
epred2_1: a > a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_0: a ).
thf(decl_28,type,
epred3_0: a > $o ).
thf(decl_29,type,
esk4_0: a ).
thf(decl_30,type,
esk5_0: a ).
thf(decl_31,type,
esk6_0: a ).
thf(decl_32,type,
epred4_0: a > $o ).
thf(decl_33,type,
epred5_0: a > $o ).
thf(cTHM261_B_pme,conjecture,
! [X1: ( a > $o ) > $o] :
( ! [X2: a] :
? [X3: a > $o] :
( ( X1 @ X3 )
& ( X3 @ X2 )
& ! [X4: a > $o] :
( ( ( X1 @ X4 )
& ( X4 @ X2 ) )
=> ( X4 = X3 ) ) )
=> ( ! [X2: a] :
? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X2 ) )
& ! [X2: a,X6: a] :
( ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X6 ) )
=> ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X6 )
& ( X5 @ X2 ) ) )
& ! [X2: a,X6: a,X7: a] :
( ( ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X6 ) )
& ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X6 )
& ( X5 @ X7 ) ) )
=> ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X7 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pDGc4PYBbU/E---3.1_2967510.p',cTHM261_B_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > $o ) > $o] :
( ! [X2: a] :
? [X3: a > $o] :
( ( X1 @ X3 )
& ( X3 @ X2 )
& ! [X4: a > $o] :
( ( ( X1 @ X4 )
& ( X4 @ X2 ) )
=> ( X4 = X3 ) ) )
=> ( ! [X2: a] :
? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X2 ) )
& ! [X2: a,X6: a] :
( ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X6 ) )
=> ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X6 )
& ( X5 @ X2 ) ) )
& ! [X2: a,X6: a,X7: a] :
( ( ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X6 ) )
& ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X6 )
& ( X5 @ X7 ) ) )
=> ? [X5: a > $o] :
( ( X1 @ X5 )
& ( X5 @ X2 )
& ( X5 @ X7 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM261_B_pme]) ).
thf(c_0_2,negated_conjecture,
! [X25: a,X27: a > $o,X29: a > $o,X33: a > $o,X39: a > $o] :
( ( epred1_0 @ ( epred2_1 @ X25 ) )
& ( epred2_1 @ X25 @ X25 )
& ( ~ ( epred1_0 @ X27 )
| ~ ( X27 @ X25 )
| ( X27
= ( epred2_1 @ X25 ) ) )
& ( ( epred1_0 @ epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X39 )
| ~ ( X39 @ esk4_0 )
| ~ ( X39 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X39 )
| ~ ( X39 @ esk4_0 )
| ~ ( X39 @ esk6_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X39 )
| ~ ( X39 @ esk4_0 )
| ~ ( X39 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X39 )
| ~ ( X39 @ esk4_0 )
| ~ ( X39 @ esk6_0 )
| ~ ( epred1_0 @ X33 )
| ~ ( X33 @ esk3_0 )
| ~ ( X33 @ esk2_0 )
| ~ ( epred1_0 @ X29 )
| ~ ( X29 @ esk1_0 )
| ~ ( X29 @ esk1_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X2: a] : ( epred2_1 @ X2 @ X2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X2: a] : ( epred1_0 @ ( epred2_1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_15,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_16,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_6]) ).
thf(c_0_17,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_7]) ).
thf(c_0_18,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_8]) ).
thf(c_0_19,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_9]) ).
thf(c_0_20,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_10]) ).
thf(c_0_21,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
thf(c_0_22,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ( epred1_0 @ epred4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_13])]) ).
thf(c_0_23,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_13])]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ epred4_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13])]) ).
thf(c_0_25,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_12]),c_0_13])]) ).
thf(c_0_26,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ( epred1_0 @ epred5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_13])]) ).
thf(c_0_27,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13])]) ).
thf(c_0_28,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_12]),c_0_13])]) ).
thf(c_0_29,negated_conjecture,
! [X3: a > $o,X2: a] :
( ( X3
= ( epred2_1 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_30,negated_conjecture,
epred1_0 @ epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
thf(c_0_31,negated_conjecture,
epred1_0 @ epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_32,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_33,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_34,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_35,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_37,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_38,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_39,negated_conjecture,
! [X2: a] :
( ( ( epred2_1 @ X2 )
= epred4_0 )
| ~ ( epred4_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_40,negated_conjecture,
! [X2: a] :
( ( ( epred2_1 @ X2 )
= epred5_0 )
| ~ ( epred5_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
thf(c_0_41,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_32]) ).
thf(c_0_42,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_33]) ).
thf(c_0_43,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk2_0 )
| ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_34]) ).
thf(c_0_44,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_35]) ).
thf(c_0_45,negated_conjecture,
! [X2: a] :
( ( ( epred2_1 @ X2 )
= epred5_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred5_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
thf(c_0_46,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_36]) ).
thf(c_0_47,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_37]) ).
thf(c_0_48,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_49,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_38]) ).
thf(c_0_50,negated_conjecture,
! [X2: a] :
( ( epred5_0 = epred4_0 )
| ~ ( epred4_0 @ X2 )
| ~ ( epred5_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_51,negated_conjecture,
( ( epred5_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_12]),c_0_13])]) ).
thf(c_0_52,negated_conjecture,
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_12]),c_0_13])]) ).
thf(c_0_53,negated_conjecture,
( ( epred5_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_12]),c_0_13])]) ).
thf(c_0_54,negated_conjecture,
( ( epred4_0 @ esk5_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_12]),c_0_13])]) ).
thf(c_0_55,negated_conjecture,
! [X2: a] :
( ( epred5_0 = epred4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred5_0 @ X2 )
| ~ ( epred4_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
thf(c_0_56,negated_conjecture,
( ( epred5_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_12]),c_0_13])]) ).
thf(c_0_57,negated_conjecture,
( ( epred4_0 @ esk5_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_12]),c_0_13])]) ).
thf(c_0_58,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_48]) ).
thf(c_0_59,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_12]),c_0_13])]) ).
thf(c_0_60,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
thf(c_0_61,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_53]),c_0_54]) ).
thf(c_0_62,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
thf(c_0_63,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_12]),c_0_13])]) ).
thf(c_0_64,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_65,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_66,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred5_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]) ).
thf(c_0_67,negated_conjecture,
( ( epred5_0 = epred4_0 )
| ( epred4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_61]),c_0_62]) ).
thf(c_0_68,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_69,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_70,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_71,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_72,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_64]) ).
thf(c_0_73,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_65]) ).
thf(c_0_74,negated_conjecture,
epred5_0 = epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_66]),c_0_67]) ).
thf(c_0_75,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_76,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_68]) ).
thf(c_0_77,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_69]) ).
thf(c_0_78,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_79,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_70]) ).
thf(c_0_80,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk2_0 )
| ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_71]) ).
thf(c_0_81,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_82,negated_conjecture,
! [X3: a > $o,X4: a > $o,X5: a > $o] :
( ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk3_0 )
| ~ ( X4 @ esk2_0 )
| ~ ( epred1_0 @ X5 )
| ~ ( X5 @ esk1_0 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_83,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_12]),c_0_13])]) ).
thf(c_0_84,negated_conjecture,
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_12]),c_0_13])]) ).
thf(c_0_85,negated_conjecture,
! [X69: a] :
( ( epred5_0 @ X69 )
<=> ( epred4_0 @ X69 ) ),
inference(arg_cong,[status(thm)],[c_0_74]) ).
thf(c_0_86,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk3_0 )
| ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_75]) ).
thf(c_0_87,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_12]),c_0_13])]) ).
thf(c_0_88,negated_conjecture,
( ( epred5_0 @ esk6_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_12]),c_0_13])]) ).
thf(c_0_89,negated_conjecture,
! [X3: a > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_78]) ).
thf(c_0_90,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_12]),c_0_13])]) ).
thf(c_0_91,negated_conjecture,
( ( epred5_0 @ esk6_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_12]),c_0_13])]) ).
thf(c_0_92,negated_conjecture,
! [X3: a > $o] :
( ( epred3_0 @ esk2_0 )
| ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[c_0_81]) ).
thf(c_0_93,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_94,negated_conjecture,
! [X5: a > $o,X4: a > $o,X3: a > $o] :
( ~ ( epred1_0 @ X5 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X5 @ esk1_0 )
| ~ ( X4 @ esk2_0 )
| ~ ( X4 @ esk3_0 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_82]) ).
thf(c_0_95,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ~ ( epred5_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_31])]) ).
thf(c_0_96,negated_conjecture,
! [X2: a] :
( ( epred5_0 @ X2 )
| ~ ( epred4_0 @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_85]) ).
thf(c_0_97,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_12]),c_0_13])]) ).
thf(c_0_98,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ~ ( epred5_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_28]) ).
thf(c_0_99,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_12]),c_0_13])]) ).
thf(c_0_100,negated_conjecture,
( ( epred3_0 @ esk2_0 )
| ~ ( epred5_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_31])]) ).
thf(c_0_101,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_12]),c_0_13])]) ).
thf(c_0_102,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_93]) ).
thf(c_0_103,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk3_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_104,negated_conjecture,
! [X3: a > $o,X4: a > $o] :
( ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X4 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 )
| ~ ( X4 @ esk4_0 )
| ~ ( X4 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_12]),c_0_13])]) ).
thf(c_0_105,negated_conjecture,
epred3_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
thf(c_0_106,negated_conjecture,
epred1_0 @ epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_96]),c_0_99]) ).
thf(c_0_107,negated_conjecture,
epred3_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_96]),c_0_101]) ).
thf(c_0_108,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ esk6_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_12]),c_0_13])]) ).
thf(c_0_109,negated_conjecture,
! [X4: a > $o,X3: a > $o] :
( ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 )
| ~ ( X4 @ esk1_0 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_103]) ).
thf(c_0_110,negated_conjecture,
! [X3: a > $o] :
( ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk4_0 )
| ~ ( X3 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107])]) ).
thf(c_0_111,negated_conjecture,
epred5_0 @ esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_105]),c_0_106]),c_0_107])]) ).
thf(c_0_112,negated_conjecture,
! [X3: a > $o] :
( ( epred4_0 @ esk4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X3 @ esk2_0 )
| ~ ( X3 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_12]),c_0_13])]) ).
thf(c_0_113,negated_conjecture,
~ ( epred5_0 @ esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_74]),c_0_30])]) ).
thf(c_0_114,negated_conjecture,
epred4_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_105]),c_0_106]),c_0_107])]) ).
thf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_96]),c_0_114])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV009^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n010.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 15:00:11 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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.pDGc4PYBbU/E---3.1_2967510.p
% 0.20/0.28 % Version: 3.5.1-ho
% 0.20/0.28 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.20/0.28 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28 % Starting full_lambda_6 with 900s (3) cores
% 0.20/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.20/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.20/0.28 % Starting ho_unfolding_1 with 300s (1) cores
% 0.20/0.28 % Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.28 % Starting ho_unfolding_2 with 300s (1) cores
% 0.20/0.28 % full_lambda_6 with pid 2967523 completed with status 0
% 0.20/0.28 % Result found by full_lambda_6
% 0.20/0.28 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.20/0.28 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28 % Starting full_lambda_6 with 900s (3) cores
% 0.20/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.20/0.28 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.28 % Search class: HGHSS-FFMF00-SHHFFMBN
% 0.20/0.28 % partial match(2): HGHNF-FFMF00-SHHFFMBN
% 0.20/0.28 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.20/0.28 % Starting SubtermCWHack with 82s (1) cores
% 0.20/0.28 % Starting full_lambda_6 with 91s (1) cores
% 0.20/0.28 % Starting sh3 with 163s (1) cores
% 0.20/0.28 % sh3 with pid 2967533 completed with status 0
% 0.20/0.28 % Result found by sh3
% 0.20/0.28 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.20/0.28 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.28 % Starting full_lambda_6 with 900s (3) cores
% 0.20/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.20/0.28 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.28 % Search class: HGHSS-FFMF00-SHHFFMBN
% 0.20/0.28 % partial match(2): HGHNF-FFMF00-SHHFFMBN
% 0.20/0.28 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.20/0.28 % Starting SubtermCWHack with 82s (1) cores
% 0.20/0.28 % Starting full_lambda_6 with 91s (1) cores
% 0.20/0.28 % Starting sh3 with 163s (1) cores
% 0.20/0.28 % Preprocessing time : 0.002 s
% 0.20/0.28 % Presaturation interreduction done
% 0.20/0.28
% 0.20/0.28 % Proof found!
% 0.20/0.28 % SZS status Theorem
% 0.20/0.28 % SZS output start CNFRefutation
% See solution above
% 0.20/0.28 % Parsed axioms : 2
% 0.20/0.28 % Removed by relevancy pruning/SinE : 1
% 0.20/0.28 % Initial clauses : 31
% 0.20/0.28 % Removed in clause preprocessing : 0
% 0.20/0.28 % Initial clauses in saturation : 31
% 0.20/0.28 % Processed clauses : 174
% 0.20/0.28 % ...of these trivial : 1
% 0.20/0.28 % ...subsumed : 11
% 0.20/0.28 % ...remaining for further processing : 162
% 0.20/0.28 % Other redundant clauses eliminated : 0
% 0.20/0.28 % Clauses deleted for lack of memory : 0
% 0.20/0.28 % Backward-subsumed : 49
% 0.20/0.28 % Backward-rewritten : 49
% 0.20/0.28 % Generated clauses : 171
% 0.20/0.28 % ...of the previous two non-redundant : 163
% 0.20/0.28 % ...aggressively subsumed : 0
% 0.20/0.28 % Contextual simplify-reflections : 18
% 0.20/0.28 % Paramodulations : 119
% 0.20/0.28 % Factorizations : 0
% 0.20/0.28 % NegExts : 5
% 0.20/0.28 % Equation resolutions : 0
% 0.20/0.28 % Disequality decompositions : 0
% 0.20/0.28 % Total rewrite steps : 135
% 0.20/0.28 % ...of those cached : 122
% 0.20/0.28 % Propositional unsat checks : 0
% 0.20/0.28 % Propositional check models : 0
% 0.20/0.28 % Propositional check unsatisfiable : 0
% 0.20/0.28 % Propositional clauses : 0
% 0.20/0.28 % Propositional clauses after purity: 0
% 0.20/0.28 % Propositional unsat core size : 0
% 0.20/0.28 % Propositional preprocessing time : 0.000
% 0.20/0.28 % Propositional encoding time : 0.000
% 0.20/0.28 % Propositional solver time : 0.000
% 0.20/0.28 % Success case prop preproc time : 0.000
% 0.20/0.28 % Success case prop encoding time : 0.000
% 0.20/0.28 % Success case prop solver time : 0.000
% 0.20/0.28 % Current number of processed clauses : 20
% 0.20/0.28 % Positive orientable unit clauses : 11
% 0.20/0.28 % Positive unorientable unit clauses: 0
% 0.20/0.28 % Negative unit clauses : 1
% 0.20/0.28 % Non-unit-clauses : 8
% 0.20/0.28 % Current number of unprocessed clauses: 42
% 0.20/0.28 % ...number of literals in the above : 121
% 0.20/0.28 % Current number of archived formulas : 0
% 0.20/0.28 % Current number of archived clauses : 142
% 0.20/0.28 % Clause-clause subsumption calls (NU) : 982
% 0.20/0.28 % Rec. Clause-clause subsumption calls : 476
% 0.20/0.28 % Non-unit clause-clause subsumptions : 73
% 0.20/0.28 % Unit Clause-clause subsumption calls : 20
% 0.20/0.28 % Rewrite failures with RHS unbound : 0
% 0.20/0.28 % BW rewrite match attempts : 11
% 0.20/0.28 % BW rewrite match successes : 10
% 0.20/0.28 % Condensation attempts : 0
% 0.20/0.28 % Condensation successes : 0
% 0.20/0.28 % Termbank termtop insertions : 7909
% 0.20/0.28 % Search garbage collected termcells : 512
% 0.20/0.28
% 0.20/0.28 % -------------------------------------------------
% 0.20/0.28 % User time : 0.018 s
% 0.20/0.28 % System time : 0.002 s
% 0.20/0.28 % Total time : 0.020 s
% 0.20/0.28 % Maximum resident set size: 3892 pages
% 0.20/0.28
% 0.20/0.28 % -------------------------------------------------
% 0.20/0.28 % User time : 0.059 s
% 0.20/0.28 % System time : 0.008 s
% 0.20/0.28 % Total time : 0.067 s
% 0.20/0.28 % Maximum resident set size: 4608 pages
% 0.20/0.28 % E exiting
%------------------------------------------------------------------------------