%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV023^5 : 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 : n020.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 08:35:50 AM UTC 2026
% Result : Theorem 26.81s 3.79s
% Output : CNFRefutation 26.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 1
% Syntax : Number of formulae : 60 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 279 ( 2 equ; 0 cnn)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 800 ( 97 ~; 123 |; 35 &; 517 @)
% ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 88 ( 88 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 155 ( 2 ^; 141 !; 12 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
esk1_2: ( a > $o ) > ( a > $o ) > a ).
thf(decl_24,type,
epred1_0: ( a > $o ) > $o ).
thf(decl_25,type,
esk2_1: ( a > $o ) > a ).
thf(decl_26,type,
epred2_1: a > a > $o ).
thf(decl_27,type,
epred3_1: ( a > a > $o ) > a > $o ).
thf(decl_28,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_29,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_30,type,
esk5_1: ( a > a > $o ) > a ).
thf(cTHM262_D_EXT_pme,conjecture,
( ! [X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
<=> ( X2 @ X3 ) )
=> ! [X4: ( a > $o ) > $o] :
( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
=> ! [X4: ( a > $o ) > $o] :
( ( ! [X1: a > $o] :
( ( X4 @ X1 )
=> ? [X5: a] : ( X1 @ X5 ) )
& ! [X6: a] :
? [X1: a > $o] :
( ( X4 @ X1 )
& ( X1 @ X6 ) )
& ! [X6: a,X7: a,X1: a > $o,X8: a > $o] :
( ( ( X4 @ X1 )
& ( X4 @ X8 )
& ( X1 @ X6 )
& ( X8 @ X6 )
& ( X1 @ X7 ) )
=> ( X8 @ X7 ) ) )
=> ? [X9: a > a > $o] :
( ( ^ [X10: a > $o] :
( ? [X5: a] : ( X10 @ X5 )
& ! [X6: a] :
( ( X10 @ X6 )
=> ! [X7: a] :
( ( X10 @ X7 )
<=> ( X9 @ X6 @ X7 ) ) ) ) )
= X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LfoB4Cms8t/E---3.1_1161870.p',cTHM262_D_EXT_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
<=> ( X2 @ X3 ) )
=> ! [X4: ( a > $o ) > $o] :
( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
=> ! [X4: ( a > $o ) > $o] :
( ( ! [X1: a > $o] :
( ( X4 @ X1 )
=> ? [X5: a] : ( X1 @ X5 ) )
& ! [X6: a] :
? [X1: a > $o] :
( ( X4 @ X1 )
& ( X1 @ X6 ) )
& ! [X6: a,X7: a,X1: a > $o,X8: a > $o] :
( ( ( X4 @ X1 )
& ( X4 @ X8 )
& ( X1 @ X6 )
& ( X8 @ X6 )
& ( X1 @ X7 ) )
=> ( X8 @ X7 ) ) )
=> ? [X9: a > a > $o] :
( ( ^ [X10: a > $o] :
( ? [X5: a] : ( X10 @ X5 )
& ! [X6: a] :
( ( X10 @ X6 )
=> ! [X7: a] :
( ( X10 @ X7 )
<=> ( X9 @ X6 @ X7 ) ) ) ) )
= X4 ) ) ),
inference(assume_negation,[status(cth)],[cTHM262_D_EXT_pme]) ).
thf(c_0_2,negated_conjecture,
~ ( ! [X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
<=> ( X2 @ X3 ) )
=> ! [X4: ( a > $o ) > $o] :
( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
=> ! [X4: ( a > $o ) > $o] :
( ( ! [X1: a > $o] :
( ( X4 @ X1 )
=> ? [X5: a] : ( X1 @ X5 ) )
& ! [X6: a] :
? [X1: a > $o] :
( ( X4 @ X1 )
& ( X1 @ X6 ) )
& ! [X6: a,X7: a,X1: a > $o,X8: a > $o] :
( ( ( X4 @ X1 )
& ( X4 @ X8 )
& ( X1 @ X6 )
& ( X8 @ X6 )
& ( X1 @ X7 ) )
=> ( X8 @ X7 ) ) )
=> ? [X9: a > a > $o] :
! [X25: a > $o] :
( ( ? [X5: a] : ( X25 @ X5 )
& ! [X6: a] :
( ( X25 @ X6 )
=> ! [X7: a] :
( ( X25 @ X7 )
<=> ( X9 @ X6 @ X7 ) ) ) )
<=> ( X4 @ X25 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X26: a > $o,X27: a > $o,X29: ( a > $o ) > $o,X31: a > $o,X33: a,X35: a,X36: a,X37: a > $o,X38: a > $o,X39: a > a > $o,X41: a,X45: a,X46: a] :
( ( ~ ( X26 @ ( esk1_2 @ X26 @ X27 ) )
| ~ ( X27 @ ( esk1_2 @ X26 @ X27 ) )
| ~ ( X29 @ X26 )
| ( X29 @ X27 ) )
& ( ( X26 @ ( esk1_2 @ X26 @ X27 ) )
| ( X27 @ ( esk1_2 @ X26 @ X27 ) )
| ~ ( X29 @ X26 )
| ( X29 @ X27 ) )
& ( ~ ( epred1_0 @ X31 )
| ( X31 @ ( esk2_1 @ X31 ) ) )
& ( epred1_0 @ ( epred2_1 @ X33 ) )
& ( epred2_1 @ X33 @ X33 )
& ( ~ ( epred1_0 @ X37 )
| ~ ( epred1_0 @ X38 )
| ~ ( X37 @ X35 )
| ~ ( X38 @ X35 )
| ~ ( X37 @ X36 )
| ( X38 @ X36 ) )
& ( ( epred3_1 @ X39 @ ( esk3_1 @ X39 ) )
| ~ ( epred3_1 @ X39 @ X41 )
| ~ ( epred1_0 @ ( epred3_1 @ X39 ) ) )
& ( ~ ( epred3_1 @ X39 @ ( esk4_1 @ X39 ) )
| ~ ( X39 @ ( esk3_1 @ X39 ) @ ( esk4_1 @ X39 ) )
| ~ ( epred3_1 @ X39 @ X41 )
| ~ ( epred1_0 @ ( epred3_1 @ X39 ) ) )
& ( ( epred3_1 @ X39 @ ( esk4_1 @ X39 ) )
| ( X39 @ ( esk3_1 @ X39 ) @ ( esk4_1 @ X39 ) )
| ~ ( epred3_1 @ X39 @ X41 )
| ~ ( epred1_0 @ ( epred3_1 @ X39 ) ) )
& ( ( epred3_1 @ X39 @ ( esk5_1 @ X39 ) )
| ( epred1_0 @ ( epred3_1 @ X39 ) ) )
& ( ~ ( epred3_1 @ X39 @ X46 )
| ( X39 @ X45 @ X46 )
| ~ ( epred3_1 @ X39 @ X45 )
| ( epred1_0 @ ( epred3_1 @ X39 ) ) )
& ( ~ ( X39 @ X45 @ X46 )
| ( epred3_1 @ X39 @ X46 )
| ~ ( epred3_1 @ X39 @ X45 )
| ( epred1_0 @ ( epred3_1 @ X39 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X1: a > $o,X3: a,X2: a > $o,X5: a] :
( ( X2 @ X5 )
| ~ ( epred1_0 @ X1 )
| ~ ( epred1_0 @ X2 )
| ~ ( X1 @ X3 )
| ~ ( X2 @ X3 )
| ~ ( X1 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X3: a] : ( epred1_0 @ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: a > $o,X5: a,X3: a,X6: a] :
( ( epred2_1 @ X3 @ X5 )
| ~ ( epred2_1 @ X3 @ X6 )
| ~ ( epred1_0 @ X1 )
| ~ ( X1 @ X5 )
| ~ ( X1 @ X6 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X1: a > $o,X5: a,X3: a] :
( ( epred2_1 @ X3 @ X5 )
| ~ ( epred1_0 @ X1 )
| ~ ( X1 @ X5 )
| ~ ( X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X6: a,X5: a,X3: a] :
( ( epred2_1 @ X3 @ X5 )
| ~ ( epred2_1 @ X6 @ X5 )
| ~ ( epred2_1 @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
thf(c_0_10,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ X3 @ X5 )
| ~ ( epred2_1 @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X1: a > $o] :
( ( X1 @ ( esk2_1 @ X1 ) )
| ~ ( epred1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X9: a > a > $o,X5: a,X3: a] :
( ( epred3_1 @ X9 @ X5 )
| ( epred1_0 @ ( epred3_1 @ X9 ) )
| ~ ( X9 @ X3 @ X5 )
| ~ ( epred3_1 @ X9 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
! [X9: a > a > $o] :
( ( epred3_1 @ X9 @ ( esk5_1 @ X9 ) )
| ( epred1_0 @ ( epred3_1 @ X9 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_14,negated_conjecture,
! [X4: ( a > $o ) > $o,X2: a > $o,X1: a > $o] :
( ( X1 @ ( esk1_2 @ X1 @ X2 ) )
| ( X2 @ ( esk1_2 @ X1 @ X2 ) )
| ( X4 @ X2 )
| ~ ( X4 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] : ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_5])]) ).
thf(c_0_16,negated_conjecture,
! [X9: a > a > $o,X3: a] :
( ( epred1_0 @ ( epred3_1 @ X9 ) )
| ( epred3_1 @ X9 @ X3 )
| ~ ( X9 @ ( esk5_1 @ X9 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_17,negated_conjecture,
! [X3: a,X1: a > $o] :
( ( epred2_1 @ X3 @ ( esk1_2 @ ( epred2_1 @ X3 ) @ X1 ) )
| ( X1 @ ( esk1_2 @ ( epred2_1 @ X3 ) @ X1 ) )
| ( epred1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_5]) ).
thf(c_0_18,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ X3 @ X5 )
| ~ ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X5 ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ X3 @ ( esk2_1 @ ( epred2_1 @ X5 ) ) )
| ~ ( epred2_1 @ X5 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_11]),c_0_5])]) ).
thf(c_0_20,negated_conjecture,
! [X3: a,X9: a > a > $o,X5: a] :
( ( X9 @ X5 @ X3 )
| ( epred1_0 @ ( epred3_1 @ X9 ) )
| ~ ( epred3_1 @ X9 @ X3 )
| ~ ( epred3_1 @ X9 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_21,negated_conjecture,
! [X1: a > $o] :
( ( epred3_1 @ epred2_1 @ ( esk1_2 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) @ X1 ) )
| ( X1 @ ( esk1_2 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) @ X1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_22,negated_conjecture,
! [X3: a,X5: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ X5 )
| ~ ( epred2_1 @ X3 @ ( esk2_1 @ ( epred2_1 @ X5 ) ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,negated_conjecture,
! [X9: a > a > $o,X3: a] :
( ( X9 @ ( esk5_1 @ X9 ) @ X3 )
| ( epred1_0 @ ( epred3_1 @ X9 ) )
| ~ ( epred3_1 @ X9 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
thf(c_0_24,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk1_2 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) @ ( epred3_1 @ epred2_1 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(ef,[status(thm)],[c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X3: a] : ( epred2_1 @ X3 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
thf(c_0_26,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ X3 @ ( esk2_1 @ ( epred2_1 @ X5 ) ) )
| ~ ( epred2_1 @ X5 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_22]) ).
thf(c_0_27,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ X3 @ ( esk5_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_23]) ).
thf(c_0_28,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ ( esk1_2 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) @ ( epred3_1 @ epred2_1 ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
thf(c_0_29,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk2_1 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_16,c_0_25]) ).
thf(c_0_30,negated_conjecture,
! [X3: a,X5: a] :
( ( epred2_1 @ X3 @ ( esk2_1 @ ( epred2_1 @ X5 ) ) )
| ~ ( epred2_1 @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
thf(c_0_31,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk5_1 @ epred2_1 ) @ X3 )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
thf(c_0_32,negated_conjecture,
( ( epred3_1 @ epred2_1 @ ( esk2_1 @ ( epred2_1 @ ( esk1_2 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) @ ( epred3_1 @ epred2_1 ) ) ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_11]),c_0_5])]) ).
thf(c_0_33,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
thf(c_0_34,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ X5 )
| ~ ( epred2_1 @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_30]) ).
thf(c_0_35,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ X5 )
| ~ ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X5 ) ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
thf(c_0_36,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) ) @ X3 )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
thf(c_0_37,negated_conjecture,
! [X4: ( a > $o ) > $o,X2: a > $o,X1: a > $o] :
( ( X4 @ X2 )
| ~ ( X1 @ ( esk1_2 @ X1 @ X2 ) )
| ~ ( X2 @ ( esk1_2 @ X1 @ X2 ) )
| ~ ( X4 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_38,negated_conjecture,
( ( epred2_1 @ ( esk5_1 @ epred2_1 ) @ ( esk1_2 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) @ ( epred3_1 @ epred2_1 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_39,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( epred3_1 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ X3 @ ( esk5_1 @ epred2_1 ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_40,negated_conjecture,
! [X3: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ ( esk5_1 @ epred2_1 ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_41,negated_conjecture,
! [X4: ( a > $o ) > $o] :
( ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ( X4 @ ( epred3_1 @ epred2_1 ) )
| ~ ( X4 @ ( epred2_1 @ ( esk5_1 @ epred2_1 ) ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_24]),c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) )
| ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_43,negated_conjecture,
! [X1: a > $o,X5: a,X3: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ X5 )
| ~ ( epred1_0 @ X1 )
| ~ ( X1 @ X5 )
| ~ ( X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
thf(c_0_44,negated_conjecture,
epred1_0 @ ( epred3_1 @ epred2_1 ),
inference(spm,[status(thm)],[c_0_41,c_0_5]) ).
thf(c_0_45,negated_conjecture,
! [X3: a,X9: a > a > $o] :
( ( epred3_1 @ X9 @ ( esk3_1 @ X9 ) )
| ~ ( epred3_1 @ X9 @ X3 )
| ~ ( epred1_0 @ ( epred3_1 @ X9 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_46,negated_conjecture,
! [X5: a,X3: a] :
( ( epred2_1 @ ( esk2_1 @ ( epred2_1 @ X3 ) ) @ X5 )
| ~ ( epred3_1 @ epred2_1 @ X5 )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_42]),c_0_43]) ).
thf(c_0_47,negated_conjecture,
! [X1: a > $o,X3: a,X5: a] :
( ( epred3_1 @ epred2_1 @ X3 )
| ~ ( epred3_1 @ epred2_1 @ X5 )
| ~ ( epred1_0 @ X1 )
| ~ ( X1 @ X3 )
| ~ ( X1 @ X5 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_44]) ).
thf(c_0_48,negated_conjecture,
! [X9: a > a > $o] :
( ( epred3_1 @ X9 @ ( esk3_1 @ X9 ) )
| ~ ( epred1_0 @ ( epred3_1 @ X9 ) ) ),
inference(spm,[status(thm)],[c_0_45,c_0_11]) ).
thf(c_0_49,negated_conjecture,
! [X3: a,X9: a > a > $o] :
( ~ ( epred3_1 @ X9 @ ( esk4_1 @ X9 ) )
| ~ ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ~ ( epred3_1 @ X9 @ X3 )
| ~ ( epred1_0 @ ( epred3_1 @ X9 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_50,negated_conjecture,
! [X3: a,X5: a] :
( ( epred2_1 @ X3 @ X5 )
| ~ ( epred3_1 @ epred2_1 @ X3 )
| ~ ( epred3_1 @ epred2_1 @ X5 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_46]) ).
thf(c_0_51,negated_conjecture,
! [X1: a > $o,X3: a] :
( ( epred3_1 @ epred2_1 @ X3 )
| ~ ( X1 @ ( esk3_1 @ epred2_1 ) )
| ~ ( epred1_0 @ X1 )
| ~ ( X1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_44])]) ).
thf(c_0_52,negated_conjecture,
! [X3: a,X9: a > a > $o] :
( ( epred3_1 @ X9 @ ( esk4_1 @ X9 ) )
| ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ~ ( epred3_1 @ X9 @ X3 )
| ~ ( epred1_0 @ ( epred3_1 @ X9 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_53,negated_conjecture,
! [X3: a] :
( ~ ( epred3_1 @ epred2_1 @ ( esk4_1 @ epred2_1 ) )
| ~ ( epred1_0 @ ( epred3_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_48]) ).
thf(c_0_54,negated_conjecture,
! [X3: a] :
( ( epred3_1 @ epred2_1 @ X3 )
| ~ ( epred2_1 @ ( esk3_1 @ epred2_1 ) @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_7]),c_0_5])]) ).
thf(c_0_55,negated_conjecture,
! [X9: a > a > $o] :
( ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( epred3_1 @ X9 @ ( esk4_1 @ X9 ) )
| ~ ( epred1_0 @ ( epred3_1 @ X9 ) ) ),
inference(spm,[status(thm)],[c_0_52,c_0_11]) ).
thf(c_0_56,negated_conjecture,
! [X3: a] :
( ~ ( epred3_1 @ epred2_1 @ ( esk4_1 @ epred2_1 ) )
| ~ ( epred3_1 @ epred2_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_44])]) ).
thf(c_0_57,negated_conjecture,
epred3_1 @ epred2_1 @ ( esk4_1 @ epred2_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_44])]) ).
thf(c_0_58,negated_conjecture,
! [X3: a] :
~ ( epred3_1 @ epred2_1 @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
thf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_57,c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV023^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n020.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 15:01:49 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 Running higher-order theorem proving
% 0.28/0.33 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.LfoB4Cms8t/E---3.1_1161870.p
% 26.81/3.79 % Version: 3.5.1-ho
% 26.81/3.79 % Preprocessing class: HSMSSMSSSSSNHHA.
% 26.81/3.79 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 26.81/3.79 % Starting full_lambda_6 with 900s (3) cores
% 26.81/3.79 % Starting post_as_ho1 with 300s (1) cores
% 26.81/3.79 % Starting lpo6_lambda_fix with 300s (1) cores
% 26.81/3.79 % Starting ho_unfolding_1 with 300s (1) cores
% 26.81/3.79 % Starting new_ho_10_unif with 300s (1) cores
% 26.81/3.79 % Starting ho_unfolding_2 with 300s (1) cores
% 26.81/3.79 % lpo6_lambda_fix with pid 1161885 completed with status 0
% 26.81/3.79 % Result found by lpo6_lambda_fix
% 26.81/3.79 % Preprocessing class: HSMSSMSSSSSNHHA.
% 26.81/3.79 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 26.81/3.79 % Starting full_lambda_6 with 900s (3) cores
% 26.81/3.79 % Starting post_as_ho1 with 300s (1) cores
% 26.81/3.79 % Starting lpo6_lambda_fix with 300s (1) cores
% 26.81/3.79 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 26.81/3.79 % No SInE strategy applied
% 26.81/3.79 % Search class: HGHNS-FFSF21-SHHFFMBN
% 26.81/3.79 % partial match(1): HGHNF-FFSF21-SHHFFMBN
% 26.81/3.79 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 26.81/3.79 % Starting SubtermCWHack with 28s (1) cores
% 26.81/3.79 % SubtermCWHack with pid 1161893 completed with status 0
% 26.81/3.79 % Result found by SubtermCWHack
% 26.81/3.79 % Preprocessing class: HSMSSMSSSSSNHHA.
% 26.81/3.79 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 26.81/3.79 % Starting full_lambda_6 with 900s (3) cores
% 26.81/3.79 % Starting post_as_ho1 with 300s (1) cores
% 26.81/3.79 % Starting lpo6_lambda_fix with 300s (1) cores
% 26.81/3.79 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 26.81/3.79 % No SInE strategy applied
% 26.81/3.79 % Search class: HGHNS-FFSF21-SHHFFMBN
% 26.81/3.79 % partial match(1): HGHNF-FFSF21-SHHFFMBN
% 26.81/3.79 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 26.81/3.79 % Starting SubtermCWHack with 28s (1) cores
% 26.81/3.79 % Preprocessing time : 0.002 s
% 26.81/3.79
% 26.81/3.79 % Proof found!
% 26.81/3.79 % SZS status Theorem
% 26.81/3.79 % SZS output start CNFRefutation
% See solution above
% 26.81/3.79 % Parsed axioms : 2
% 26.81/3.79 % Removed by relevancy pruning/SinE : 0
% 26.81/3.79 % Initial clauses : 13
% 26.81/3.79 % Removed in clause preprocessing : 1
% 26.81/3.79 % Initial clauses in saturation : 12
% 26.81/3.79 % Processed clauses : 7829
% 26.81/3.79 % ...of these trivial : 34
% 26.81/3.79 % ...subsumed : 6960
% 26.81/3.79 % ...remaining for further processing : 835
% 26.81/3.79 % Other redundant clauses eliminated : 0
% 26.81/3.79 % Clauses deleted for lack of memory : 0
% 26.81/3.79 % Backward-subsumed : 44
% 26.81/3.79 % Backward-rewritten : 225
% 26.81/3.79 % Generated clauses : 83209
% 26.81/3.79 % ...of the previous two non-redundant : 71386
% 26.81/3.79 % ...aggressively subsumed : 0
% 26.81/3.79 % Contextual simplify-reflections : 3
% 26.81/3.79 % Paramodulations : 83164
% 26.81/3.79 % Factorizations : 44
% 26.81/3.79 % NegExts : 0
% 26.81/3.79 % Equation resolutions : 0
% 26.81/3.79 % Disequality decompositions : 0
% 26.81/3.79 % Total rewrite steps : 14175
% 26.81/3.79 % ...of those cached : 13899
% 26.81/3.79 % Propositional unsat checks : 0
% 26.81/3.79 % Propositional check models : 0
% 26.81/3.79 % Propositional check unsatisfiable : 0
% 26.81/3.79 % Propositional clauses : 0
% 26.81/3.79 % Propositional clauses after purity: 0
% 26.81/3.79 % Propositional unsat core size : 0
% 26.81/3.79 % Propositional preprocessing time : 0.000
% 26.81/3.79 % Propositional encoding time : 0.000
% 26.81/3.79 % Propositional solver time : 0.000
% 26.81/3.79 % Success case prop preproc time : 0.000
% 26.81/3.79 % Success case prop encoding time : 0.000
% 26.81/3.79 % Success case prop solver time : 0.000
% 26.81/3.79 % Current number of processed clauses : 565
% 26.81/3.79 % Positive orientable unit clauses : 16
% 26.81/3.79 % Positive unorientable unit clauses: 0
% 26.81/3.79 % Negative unit clauses : 1
% 26.81/3.79 % Non-unit-clauses : 548
% 26.81/3.79 % Current number of unprocessed clauses: 63565
% 26.81/3.79 % ...number of literals in the above : 283336
% 26.81/3.79 % Current number of archived formulas : 0
% 26.81/3.79 % Current number of archived clauses : 270
% 26.81/3.79 % Clause-clause subsumption calls (NU) : 819355
% 26.81/3.79 % Rec. Clause-clause subsumption calls : 445427
% 26.81/3.79 % Non-unit clause-clause subsumptions : 6965
% 26.81/3.79 % Unit Clause-clause subsumption calls : 116
% 26.81/3.79 % Rewrite failures with RHS unbound : 0
% 26.81/3.79 % BW rewrite match attempts : 222
% 26.81/3.79 % BW rewrite match successes : 2
% 26.81/3.79 % Condensation attempts : 0
% 26.81/3.79 % Condensation successes : 0
% 26.81/3.79 % Termbank termtop insertions : 1979528
% 26.81/3.79 % Search garbage collected termcells : 710
% 26.81/3.79
% 26.81/3.79 % -------------------------------------------------
% 26.81/3.79 % User time : 3.354 s
% 26.81/3.79 % System time : 0.062 s
% 26.81/3.79 % Total time : 3.416 s
% 26.81/3.79 % Maximum resident set size: 3896 pages
% 26.81/3.79
% 26.81/3.79 % -------------------------------------------------
% 26.81/3.79 % User time : 3.354 s
% 26.81/3.79 % System time : 0.069 s
% 26.81/3.79 % Total time : 3.423 s
% 26.81/3.79 % Maximum resident set size: 4864 pages
% 26.81/3.79 % E exiting
%------------------------------------------------------------------------------