%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO244^5 : 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 : n001.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 08:42:37 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 1
% Syntax : Number of formulae : 60 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 297 ( 2 equ; 0 cnn)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 620 ( 62 ~; 115 |; 19 &; 405 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 321 ( 321 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 4 ^; 99 !; 18 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( ( a > $o ) > $o ) > a > $o ).
thf(decl_24,type,
epred2_0: ( ( a > $o ) > $o ) > $o ).
thf(decl_25,type,
epred3_0: ( a > $o ) > $o ).
thf(decl_26,type,
epred4_1: ( ( a > $o ) > $o ) > a > $o ).
thf(decl_27,type,
esk1_0: a ).
thf(decl_28,type,
epred5_0: ( a > $o ) > $o ).
thf(decl_29,type,
epred6_1: ( ( ( a > $o ) > $o ) > a > $o ) > ( a > $o ) > $o ).
thf(decl_30,type,
epred7_1: ( ( a > $o ) > $o ) > a > $o ).
thf(decl_31,type,
epred8_0: ( ( a > $o ) > $o ) > a > $o ).
thf(cTHM535B,conjecture,
( ? [X1: ( ( a > $o ) > $o ) > a > $o] :
! [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] : ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ! [X4: ( ( a > $o ) > $o ) > $o] :
( ( ? [X2: ( a > $o ) > $o] : ( X4 @ X2 )
& ! [X2: ( a > $o ) > $o] :
( ( X4 @ X2 )
=> ? [X5: a > $o] : ( X2 @ X5 ) ) )
=> ( ( ^ [X6: a] :
! [X7: ( a > $o ) > $o] :
( ( X4 @ X7 )
=> ? [X8: a > $o] :
( ( X7 @ X8 )
& ( X8 @ X6 ) ) ) )
= ( ^ [X6: a] :
? [X1: ( ( a > $o ) > $o ) > a > $o] :
! [X7: ( a > $o ) > $o] :
( ( X4 @ X7 )
=> ( ( X7 @ ( X1 @ X7 ) )
& ( X1 @ X7 @ X6 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.L9R3gLORr4/E---3.1_1484205.p',cTHM535B) ).
thf(c_0_1,negated_conjecture,
~ ( ? [X1: ( ( a > $o ) > $o ) > a > $o] :
! [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] : ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ! [X4: ( ( a > $o ) > $o ) > $o] :
( ( ? [X2: ( a > $o ) > $o] : ( X4 @ X2 )
& ! [X2: ( a > $o ) > $o] :
( ( X4 @ X2 )
=> ? [X5: a > $o] : ( X2 @ X5 ) ) )
=> ( ( ^ [X6: a] :
! [X7: ( a > $o ) > $o] :
( ( X4 @ X7 )
=> ? [X8: a > $o] :
( ( X7 @ X8 )
& ( X8 @ X6 ) ) ) )
= ( ^ [X6: a] :
? [X1: ( ( a > $o ) > $o ) > a > $o] :
! [X7: ( a > $o ) > $o] :
( ( X4 @ X7 )
=> ( ( X7 @ ( X1 @ X7 ) )
& ( X1 @ X7 @ X6 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM535B]) ).
thf(c_0_2,negated_conjecture,
~ ( ? [X1: ( ( a > $o ) > $o ) > a > $o] :
! [X2: ( a > $o ) > $o] :
( ? [X3: a > $o] : ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ! [X4: ( ( a > $o ) > $o ) > $o] :
( ( ? [X2: ( a > $o ) > $o] : ( X4 @ X2 )
& ! [X2: ( a > $o ) > $o] :
( ( X4 @ X2 )
=> ? [X5: a > $o] : ( X2 @ X5 ) ) )
=> ! [X16: a] :
( ! [X7: ( a > $o ) > $o] :
( ( X4 @ X7 )
=> ? [X8: a > $o] :
( ( X7 @ X8 )
& ( X8 @ X16 ) ) )
<=> ? [X1: ( ( a > $o ) > $o ) > a > $o] :
! [X7: ( a > $o ) > $o] :
( ( X4 @ X7 )
=> ( ( X7 @ ( X1 @ X7 ) )
& ( X1 @ X7 @ X16 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X18: ( a > $o ) > $o,X19: a > $o,X22: ( a > $o ) > $o,X26: a > $o,X27: ( ( a > $o ) > $o ) > a > $o,X29: ( a > $o ) > $o,X32: ( a > $o ) > $o] :
( ( ~ ( X18 @ X19 )
| ( X18 @ ( epred1_0 @ X18 ) ) )
& ( epred2_0 @ epred3_0 )
& ( ~ ( epred2_0 @ X22 )
| ( X22 @ ( epred4_1 @ X22 ) ) )
& ( ( epred2_0 @ ( epred6_1 @ X27 ) )
| ( epred2_0 @ epred5_0 ) )
& ( ~ ( epred6_1 @ X27 @ ( X27 @ ( epred6_1 @ X27 ) ) )
| ~ ( X27 @ ( epred6_1 @ X27 ) @ esk1_0 )
| ( epred2_0 @ epred5_0 ) )
& ( ( epred2_0 @ ( epred6_1 @ X27 ) )
| ~ ( epred5_0 @ X26 )
| ~ ( X26 @ esk1_0 ) )
& ( ~ ( epred6_1 @ X27 @ ( X27 @ ( epred6_1 @ X27 ) ) )
| ~ ( X27 @ ( epred6_1 @ X27 ) @ esk1_0 )
| ~ ( epred5_0 @ X26 )
| ~ ( X26 @ esk1_0 ) )
& ( ( X32 @ ( epred8_0 @ X32 ) )
| ~ ( epred2_0 @ X32 )
| ( X29 @ ( epred7_1 @ X29 ) )
| ~ ( epred2_0 @ X29 ) )
& ( ( epred8_0 @ X32 @ esk1_0 )
| ~ ( epred2_0 @ X32 )
| ( X29 @ ( epred7_1 @ X29 ) )
| ~ ( epred2_0 @ X29 ) )
& ( ( X32 @ ( epred8_0 @ X32 ) )
| ~ ( epred2_0 @ X32 )
| ( epred7_1 @ X29 @ esk1_0 )
| ~ ( epred2_0 @ X29 ) )
& ( ( epred8_0 @ X32 @ esk1_0 )
| ~ ( epred2_0 @ X32 )
| ( epred7_1 @ X29 @ esk1_0 )
| ~ ( epred2_0 @ X29 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X2: ( a > $o ) > $o,X7: ( a > $o ) > $o] :
( ( X2 @ ( epred8_0 @ X2 ) )
| ( X7 @ ( epred7_1 @ X7 ) )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred2_0 @ ( epred6_1 @ X1 ) )
| ( epred2_0 @ epred5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X2: ( a > $o ) > $o,X7: ( a > $o ) > $o] :
( ( X2 @ ( epred8_0 @ X2 ) )
| ( epred7_1 @ X7 @ esk1_0 )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X2: ( a > $o ) > $o,X7: ( a > $o ) > $o] :
( ( epred8_0 @ X2 @ esk1_0 )
| ( X7 @ ( epred7_1 @ X7 ) )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X2: ( a > $o ) > $o,X7: ( a > $o ) > $o] :
( ( epred8_0 @ X2 @ esk1_0 )
| ( epred7_1 @ X7 @ esk1_0 )
| ~ ( epred2_0 @ X2 )
| ~ ( epred2_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred2_0 @ epred5_0 )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_10,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred2_0 @ epred5_0 )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
thf(c_0_11,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred8_0 @ X2 @ esk1_0 )
| ( epred2_0 @ epred5_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_5]) ).
thf(c_0_12,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred8_0 @ X2 @ esk1_0 )
| ( epred2_0 @ epred5_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
thf(c_0_13,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred2_0 @ epred5_0 )
| ~ ( epred6_1 @ X1 @ ( X1 @ ( epred6_1 @ X1 ) ) )
| ~ ( X1 @ ( epred6_1 @ X1 ) @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_14,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) )
| ( epred6_1 @ X9 @ ( epred7_1 @ ( epred6_1 @ X9 ) ) )
| ( epred2_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_5]) ).
thf(c_0_15,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) )
| ( epred7_1 @ ( epred6_1 @ X9 ) @ esk1_0 )
| ( epred2_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
thf(c_0_16,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred8_0 @ ( epred6_1 @ X9 ) @ esk1_0 )
| ( epred2_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_5]) ).
thf(c_0_17,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred8_0 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred7_1 @ ( epred6_1 @ X9 ) @ esk1_0 )
| ( epred2_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_5]) ).
thf(c_0_18,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) )
| ( epred2_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred8_0 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred2_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_17]) ).
thf(c_0_20,negated_conjecture,
epred2_0 @ epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19]) ).
thf(c_0_21,negated_conjecture,
! [X2: ( a > $o ) > $o] :
( ( epred5_0 @ ( epred7_1 @ epred5_0 ) )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_20]) ).
thf(c_0_22,negated_conjecture,
! [X2: ( a > $o ) > $o] :
( ( epred7_1 @ epred5_0 @ esk1_0 )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_20]) ).
thf(c_0_23,negated_conjecture,
! [X2: ( a > $o ) > $o] :
( ( epred5_0 @ ( epred7_1 @ epred5_0 ) )
| ( epred8_0 @ X2 @ esk1_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X2: ( a > $o ) > $o] :
( ( epred7_1 @ epred5_0 @ esk1_0 )
| ( epred8_0 @ X2 @ esk1_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X3: a > $o] :
( ( epred2_0 @ ( epred6_1 @ X1 ) )
| ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_26,negated_conjecture,
( ( epred5_0 @ ( epred8_0 @ epred5_0 ) )
| ( epred5_0 @ ( epred7_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
thf(c_0_27,negated_conjecture,
( ( epred5_0 @ ( epred8_0 @ epred5_0 ) )
| ( epred7_1 @ epred5_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
thf(c_0_28,negated_conjecture,
( ( epred8_0 @ epred5_0 @ esk1_0 )
| ( epred5_0 @ ( epred7_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
thf(c_0_29,negated_conjecture,
( ( epred8_0 @ epred5_0 @ esk1_0 )
| ( epred7_1 @ epred5_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
thf(c_0_30,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred5_0 @ ( epred8_0 @ epred5_0 ) )
| ( epred2_0 @ ( epred6_1 @ X1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
thf(c_0_31,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred8_0 @ epred5_0 @ esk1_0 )
| ( epred2_0 @ ( epred6_1 @ X1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_28]),c_0_29]) ).
thf(c_0_32,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred5_0 @ ( epred8_0 @ epred5_0 ) )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_30]) ).
thf(c_0_33,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred5_0 @ ( epred8_0 @ epred5_0 ) )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_30]) ).
thf(c_0_34,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred8_0 @ epred5_0 @ esk1_0 )
| ( epred8_0 @ X2 @ esk1_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_31]) ).
thf(c_0_35,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred8_0 @ epred5_0 @ esk1_0 )
| ( epred8_0 @ X2 @ esk1_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_31]) ).
thf(c_0_36,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X3: a > $o] :
( ~ ( epred6_1 @ X1 @ ( X1 @ ( epred6_1 @ X1 ) ) )
| ~ ( X1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_37,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred5_0 @ ( epred8_0 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
thf(c_0_38,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred5_0 @ ( epred8_0 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
thf(c_0_39,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred8_0 @ epred5_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
thf(c_0_40,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred8_0 @ epred5_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_20]) ).
thf(c_0_41,negated_conjecture,
! [X3: a > $o] :
( ( epred5_0 @ ( epred8_0 @ epred5_0 ) )
| ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X3: a > $o] :
( ( epred8_0 @ epred5_0 @ esk1_0 )
| ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_39]),c_0_40]) ).
thf(c_0_43,negated_conjecture,
epred5_0 @ ( epred8_0 @ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_26]) ).
thf(c_0_44,negated_conjecture,
epred8_0 @ epred5_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_29]) ).
thf(c_0_45,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] : ( epred2_0 @ ( epred6_1 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_43]),c_0_44])]) ).
thf(c_0_46,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_45]) ).
thf(c_0_47,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( X2 @ ( epred8_0 @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_45]) ).
thf(c_0_48,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred8_0 @ X2 @ esk1_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_45]) ).
thf(c_0_49,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X2: ( a > $o ) > $o] :
( ( epred7_1 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred8_0 @ X2 @ esk1_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_45]) ).
thf(c_0_50,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) )
| ( epred6_1 @ X9 @ ( epred7_1 @ ( epred6_1 @ X9 ) ) ) ),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
thf(c_0_51,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) )
| ( epred7_1 @ ( epred6_1 @ X9 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
thf(c_0_52,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred6_1 @ X1 @ ( epred7_1 @ ( epred6_1 @ X1 ) ) )
| ( epred8_0 @ ( epred6_1 @ X9 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
thf(c_0_53,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X9: ( ( a > $o ) > $o ) > a > $o] :
( ( epred8_0 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ( epred7_1 @ ( epred6_1 @ X9 ) @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
thf(c_0_54,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X3: a > $o] :
( ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) )
| ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_50]),c_0_51]) ).
thf(c_0_55,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o,X3: a > $o] :
( ( epred8_0 @ ( epred6_1 @ X1 ) @ esk1_0 )
| ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_52]),c_0_53]) ).
thf(c_0_56,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] : ( epred6_1 @ X1 @ ( epred8_0 @ ( epred6_1 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_44])]) ).
thf(c_0_57,negated_conjecture,
! [X1: ( ( a > $o ) > $o ) > a > $o] : ( epred8_0 @ ( epred6_1 @ X1 ) @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_43]),c_0_44])]) ).
thf(c_0_58,negated_conjecture,
! [X3: a > $o] :
( ~ ( epred5_0 @ X3 )
| ~ ( X3 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_57])]) ).
thf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_43]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO244^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 16:46:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.24 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.L9R3gLORr4/E---3.1_1484205.p
% 0.21/0.27 % Version: 3.5.1-ho
% 0.21/0.27 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.27 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting sh2lt with 1200s (4) cores
% 0.21/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_6 with 300s (1) cores
% 0.21/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.21/0.27 % Starting ehoh_best3_rw with 300s (1) cores
% 0.21/0.27 % sh2lt with pid 1484238 completed with status 0
% 0.21/0.27 % Result found by sh2lt
% 0.21/0.27 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.27 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting sh2lt with 1200s (4) cores
% 0.21/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.21/0.27 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.21/0.27 % Search class: HGHNF-FFSF00-SHHFFMBC
% 0.21/0.27 % partial match(1): HGHNF-FFSF00-SHHFFMBN
% 0.21/0.27 % Scheduled 5 strats onto 4 cores with 1200 seconds (1200 total)
% 0.21/0.27 % Starting SubtermCWHack with 121s (1) cores
% 0.21/0.27 % Starting new_ho_10 with 721s (1) cores
% 0.21/0.27 % Starting full_lambda_3 with 121s (1) cores
% 0.21/0.27 % Starting ho_unfolding_6 with 121s (1) cores
% 0.21/0.27 % SubtermCWHack with pid 1484245 completed with status 0
% 0.21/0.27 % Result found by SubtermCWHack
% 0.21/0.27 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.27 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting sh2lt with 1200s (4) cores
% 0.21/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.21/0.27 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.21/0.27 % Search class: HGHNF-FFSF00-SHHFFMBC
% 0.21/0.27 % partial match(1): HGHNF-FFSF00-SHHFFMBN
% 0.21/0.27 % Scheduled 5 strats onto 4 cores with 1200 seconds (1200 total)
% 0.21/0.27 % Starting SubtermCWHack with 121s (1) cores
% 0.21/0.27 % Preprocessing time : 0.001 s
% 0.21/0.27
% 0.21/0.27 % Proof found!
% 0.21/0.27 % SZS status Theorem
% 0.21/0.27 % SZS output start CNFRefutation
% See solution above
% 0.21/0.27 % Parsed axioms : 2
% 0.21/0.27 % Removed by relevancy pruning/SinE : 1
% 0.21/0.27 % Initial clauses : 11
% 0.21/0.27 % Removed in clause preprocessing : 0
% 0.21/0.27 % Initial clauses in saturation : 11
% 0.21/0.27 % Processed clauses : 245
% 0.21/0.27 % ...of these trivial : 1
% 0.21/0.27 % ...subsumed : 64
% 0.21/0.27 % ...remaining for further processing : 180
% 0.21/0.27 % Other redundant clauses eliminated : 0
% 0.21/0.27 % Clauses deleted for lack of memory : 0
% 0.21/0.27 % Backward-subsumed : 77
% 0.21/0.27 % Backward-rewritten : 74
% 0.21/0.27 % Generated clauses : 421
% 0.21/0.27 % ...of the previous two non-redundant : 388
% 0.21/0.27 % ...aggressively subsumed : 0
% 0.21/0.27 % Contextual simplify-reflections : 34
% 0.21/0.27 % Paramodulations : 415
% 0.21/0.27 % Factorizations : 2
% 0.21/0.27 % NegExts : 0
% 0.21/0.27 % Equation resolutions : 0
% 0.21/0.27 % Disequality decompositions : 0
% 0.21/0.27 % Total rewrite steps : 138
% 0.21/0.27 % ...of those cached : 120
% 0.21/0.27 % Propositional unsat checks : 0
% 0.21/0.27 % Propositional check models : 0
% 0.21/0.27 % Propositional check unsatisfiable : 0
% 0.21/0.27 % Propositional clauses : 0
% 0.21/0.27 % Propositional clauses after purity: 0
% 0.21/0.27 % Propositional unsat core size : 0
% 0.21/0.27 % Propositional preprocessing time : 0.000
% 0.21/0.27 % Propositional encoding time : 0.000
% 0.21/0.27 % Propositional solver time : 0.000
% 0.21/0.27 % Success case prop preproc time : 0.000
% 0.21/0.27 % Success case prop encoding time : 0.000
% 0.21/0.27 % Success case prop solver time : 0.000
% 0.21/0.27 % Current number of processed clauses : 29
% 0.21/0.27 % Positive orientable unit clauses : 16
% 0.21/0.27 % Positive unorientable unit clauses: 0
% 0.21/0.27 % Negative unit clauses : 0
% 0.21/0.27 % Non-unit-clauses : 13
% 0.21/0.27 % Current number of unprocessed clauses: 14
% 0.21/0.27 % ...number of literals in the above : 39
% 0.21/0.27 % Current number of archived formulas : 0
% 0.21/0.27 % Current number of archived clauses : 151
% 0.21/0.27 % Clause-clause subsumption calls (NU) : 607
% 0.21/0.27 % Rec. Clause-clause subsumption calls : 373
% 0.21/0.27 % Non-unit clause-clause subsumptions : 149
% 0.21/0.27 % Unit Clause-clause subsumption calls : 59
% 0.21/0.27 % Rewrite failures with RHS unbound : 0
% 0.21/0.27 % BW rewrite match attempts : 17
% 0.21/0.27 % BW rewrite match successes : 17
% 0.21/0.27 % Condensation attempts : 0
% 0.21/0.27 % Condensation successes : 0
% 0.21/0.27 % Termbank termtop insertions : 8587
% 0.21/0.27 % Search garbage collected termcells : 416
% 0.21/0.27
% 0.21/0.27 % -------------------------------------------------
% 0.21/0.27 % User time : 0.010 s
% 0.21/0.27 % System time : 0.005 s
% 0.21/0.27 % Total time : 0.015 s
% 0.21/0.27 % Maximum resident set size: 3640 pages
% 0.21/0.27
% 0.21/0.27 % -------------------------------------------------
% 0.21/0.27 % User time : 0.030 s
% 0.21/0.27 % System time : 0.010 s
% 0.21/0.27 % Total time : 0.041 s
% 0.21/0.27 % Maximum resident set size: 4864 pages
% 0.21/0.27 % E exiting
%------------------------------------------------------------------------------