%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV223^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 08:36:19 AM UTC 2026
% Result : Theorem 0.23s 0.27s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 1
% Syntax : Number of formulae : 65 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 208 ( 68 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 531 ( 102 ~; 122 |; 37 &; 266 @)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 118 ( 19 ^; 62 !; 37 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_23,type,
f: b > a ).
thf(decl_24,type,
w: ( b > $o ) > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
epred2_0: a > $o ).
thf(decl_27,type,
epred3_0: b > $o ).
thf(decl_28,type,
esk2_0: b ).
thf(decl_29,type,
epred4_0: b > $o ).
thf(decl_31,type,
esk3_1: a > b ).
thf(decl_32,type,
esk4_1: a > b ).
thf(decl_33,type,
esk5_1: a > b ).
thf(cX5204_pme,conjecture,
( ( ^ [X1: a] :
? [X2: b] :
( ? [X3: b > $o] :
( ( w @ X3 )
& ( X3 @ X2 ) )
& ( X1
= ( f @ X2 ) ) ) )
= ( ^ [X4: a] :
? [X5: a > $o] :
( ? [X6: b > $o] :
( ( w @ X6 )
& ( X5
= ( ^ [X1: a] :
? [X7: b] :
( ( X6 @ X7 )
& ( X1
= ( f @ X7 ) ) ) ) ) )
& ( X5 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JDsv4gRVL2/E---3.1_1382096.p',cX5204_pme) ).
thf(c_0_1,negated_conjecture,
( ( ^ [X1: a] :
? [X2: b] :
( ? [X3: b > $o] :
( ( w @ X3 )
& ( X3 @ X2 ) )
& ( X1
= ( f @ X2 ) ) ) )
!= ( ^ [X4: a] :
? [X5: a > $o] :
( ? [X6: b > $o] :
( ( w @ X6 )
& ( X5
= ( ^ [X1: a] :
? [X7: b] :
( ( X6 @ X7 )
& ( X1
= ( f @ X7 ) ) ) ) ) )
& ( X5 @ X4 ) ) ) ),
inference(assume_negation,[status(cth)],[cX5204_pme]) ).
thf(c_0_2,negated_conjecture,
( ( ^ [Z0: a] :
? [X2: b] :
( ? [X3: b > $o] :
( ( w @ X3 )
& ( X3 @ X2 ) )
& ( Z0
= ( f @ X2 ) ) ) )
!= ( ^ [Z0: a] :
? [X5: a > $o] :
( ? [X6: b > $o] :
( ( w @ X6 )
& ( X5
= ( ^ [Z1: a] :
? [X7: b] :
( ( X6 @ X7 )
& ( Z1
= ( f @ X7 ) ) ) ) ) )
& ( X5 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( ( ^ [Z0: a] :
? [X2: b] :
( ? [X3: b > $o] :
( ( w @ X3 )
& ( X3 @ X2 ) )
& ( Z0
= ( f @ X2 ) ) ) )
!= ( ^ [Z0: a] :
? [X5: a > $o] :
( ? [X6: b > $o] :
( ( w @ X6 )
& ( X5
= ( ^ [Z1: a] :
? [X7: b] :
( ( X6 @ X7 )
& ( Z1
= ( f @ X7 ) ) ) ) ) )
& ( X5 @ Z0 ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( ^ [Z0: a] :
? [X45: b] :
( ? [X46: b > $o] :
( ( w @ X46 )
& ( X46 @ X45 ) )
& ( Z0
= ( f @ X45 ) ) ) )
!= ( ^ [Z0: a] :
? [X47: a > $o] :
( ? [X48: b > $o] :
( ( w @ X48 )
& ( X47
= ( ^ [Z1: a] :
? [X49: b] :
( ( X48 @ X49 )
& ( Z1
= ( f @ X49 ) ) ) ) ) )
& ( X47 @ Z0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ? [X50: a > $o] :
( ? [X51: b > $o] :
( ( w @ X51 )
& ( X50
= ( ^ [Z0: a] :
? [X52: b] :
( ( X51 @ X52 )
& ( Z0
= ( f @ X52 ) ) ) ) ) )
& ( X50 @ esk1_0 ) )
<~> ? [X53: b] :
( ? [X54: b > $o] :
( ( w @ X54 )
& ( X54 @ X53 ) )
& ( esk1_0
= ( f @ X53 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( ( f @ X2 )
!= esk1_0 )
| ~ ? [X55: b] :
( ( X3 @ X55 )
& ( esk1_0
= ( f @ X55 ) ) )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ X2 ) ),
inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]) ).
thf(c_0_7,negated_conjecture,
! [X6: b > $o,X7: b,X3: b > $o,X2: b] :
( ( ( f @ X2 )
!= esk1_0 )
| ( ( f @ X7 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X3 @ X7 )
| ~ ( X6 @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_6]) ).
thf(c_0_8,negated_conjecture,
( ( ( f @ esk2_0 )
= esk1_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( epred2_0 @ esk1_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_10,negated_conjecture,
( ( ( ^ [Z0: a] :
? [X56: b] :
( ( epred3_0 @ X56 )
& ( Z0
= ( f @ X56 ) ) ) )
= epred2_0 )
| ( epred4_0 @ esk2_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_11,negated_conjecture,
! [X6: b > $o,X3: b > $o] :
( ( epred2_0 @ esk1_0 )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
thf(c_0_12,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( w @ epred4_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_13,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred4_0 @ esk2_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_14,negated_conjecture,
! [X27: a] :
( ( ? [X57: b] :
( ( epred3_0 @ X57 )
& ( X27
= ( f @ X57 ) ) )
<=> ( epred2_0 @ X27 ) )
| ( epred4_0 @ esk2_0 ) ),
inference(arg_cong,[status(thm)],[c_0_10]) ).
thf(c_0_15,negated_conjecture,
! [X3: b > $o] :
( ( epred2_0 @ esk1_0 )
| ~ ( w @ X3 )
| ~ ( X3 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
thf(c_0_16,negated_conjecture,
( ( ( ^ [Z0: a] :
? [X58: b] :
( ( epred3_0 @ X58 )
& ( Z0
= ( f @ X58 ) ) ) )
= epred2_0 )
| ( ( f @ esk2_0 )
= esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_17,negated_conjecture,
! [X1: a] :
( ( ( f @ ( esk4_1 @ X1 ) )
= X1 )
| ( epred4_0 @ esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_14]) ).
thf(c_0_18,negated_conjecture,
epred2_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X26: a] :
( ( ? [X59: b] :
( ( epred3_0 @ X59 )
& ( X26
= ( f @ X59 ) ) )
<=> ( epred2_0 @ X26 ) )
| ( ( f @ esk2_0 )
= esk1_0 ) ),
inference(arg_cong,[status(thm)],[c_0_16]) ).
thf(c_0_20,negated_conjecture,
( ( ( f @ ( esk4_1 @ esk1_0 ) )
= esk1_0 )
| ( epred4_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_21,negated_conjecture,
! [X1: a] :
( ( epred3_0 @ ( esk4_1 @ X1 ) )
| ( epred4_0 @ esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_14]) ).
thf(c_0_22,negated_conjecture,
! [X1: a] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ( epred3_0 @ ( esk3_1 @ X1 ) )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_19]) ).
thf(c_0_23,negated_conjecture,
( ( ( ^ [Z0: a] :
? [X60: b] :
( ( epred3_0 @ X60 )
& ( Z0
= ( f @ X60 ) ) ) )
= epred2_0 )
| ( w @ epred4_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_24,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( epred4_0 @ esk2_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( X3 @ ( esk4_1 @ esk1_0 ) )
| ~ ( w @ X6 )
| ~ ( w @ X3 )
| ~ ( X6 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_20]) ).
thf(c_0_25,negated_conjecture,
( ( epred3_0 @ ( esk4_1 @ esk1_0 ) )
| ( epred4_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
thf(c_0_26,negated_conjecture,
( ( w @ epred3_0 )
| ( epred4_0 @ esk2_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_27,negated_conjecture,
( ( ( f @ esk2_0 )
= esk1_0 )
| ( epred3_0 @ ( esk3_1 @ esk1_0 ) ) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
thf(c_0_28,negated_conjecture,
! [X28: a] :
( ( ? [X61: b] :
( ( epred3_0 @ X61 )
& ( X28
= ( f @ X61 ) ) )
<=> ( epred2_0 @ X28 ) )
| ( w @ epred4_0 ) ),
inference(arg_cong,[status(thm)],[c_0_23]) ).
thf(c_0_29,negated_conjecture,
! [X3: b > $o,X2: b] :
( ( epred4_0 @ esk2_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( X3 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
thf(c_0_30,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( epred3_0 @ ( esk3_1 @ esk1_0 ) )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_27]) ).
thf(c_0_31,negated_conjecture,
! [X1: a] :
( ( epred3_0 @ ( esk5_1 @ X1 ) )
| ( w @ epred4_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_28]) ).
thf(c_0_32,negated_conjecture,
! [X3: b > $o] :
( ( epred4_0 @ esk2_0 )
| ~ ( X3 @ ( esk4_1 @ esk1_0 ) )
| ~ ( w @ X3 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_20]) ).
thf(c_0_33,negated_conjecture,
! [X1: a] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ( ( f @ ( esk3_1 @ X1 ) )
= X1 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_19]) ).
thf(c_0_34,negated_conjecture,
! [X6: b > $o,X3: b > $o] :
( ( epred3_0 @ ( esk3_1 @ esk1_0 ) )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
thf(c_0_35,negated_conjecture,
( ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ( w @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_18]) ).
thf(c_0_36,negated_conjecture,
epred4_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26]) ).
thf(c_0_37,negated_conjecture,
( ( ( f @ ( esk3_1 @ esk1_0 ) )
= esk1_0 )
| ( ( f @ esk2_0 )
= esk1_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_18]) ).
thf(c_0_38,negated_conjecture,
! [X3: b > $o] :
( ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ( epred3_0 @ ( esk3_1 @ esk1_0 ) )
| ~ ( w @ X3 )
| ~ ( X3 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
thf(c_0_39,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( X3 @ ( esk3_1 @ esk1_0 ) )
| ~ ( w @ X6 )
| ~ ( w @ X3 )
| ~ ( X6 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_37]) ).
thf(c_0_40,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ esk1_0 ) )
| ( epred3_0 @ ( esk5_1 @ esk1_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_36])]) ).
thf(c_0_41,negated_conjecture,
( ( ( f @ esk2_0 )
= esk1_0 )
| ( w @ epred3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_42,negated_conjecture,
! [X3: b > $o,X2: b] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( X3 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
thf(c_0_43,negated_conjecture,
! [X3: b > $o] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ~ ( X3 @ ( esk3_1 @ esk1_0 ) )
| ~ ( w @ X3 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_37]) ).
thf(c_0_44,negated_conjecture,
( ( ( f @ esk2_0 )
= esk1_0 )
| ( epred3_0 @ ( esk5_1 @ esk1_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_41]) ).
thf(c_0_45,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_44]) ).
thf(c_0_46,negated_conjecture,
! [X1: a] :
( ( ( f @ ( esk5_1 @ X1 ) )
= X1 )
| ( w @ epred4_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_28]) ).
thf(c_0_47,negated_conjecture,
! [X6: b > $o,X3: b > $o] :
( ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
thf(c_0_48,negated_conjecture,
( ( ( f @ ( esk5_1 @ esk1_0 ) )
= esk1_0 )
| ( w @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_18]) ).
thf(c_0_49,negated_conjecture,
! [X3: b > $o] :
( ( epred3_0 @ ( esk5_1 @ esk1_0 ) )
| ~ ( w @ X3 )
| ~ ( X3 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_35]),c_0_36])]) ).
thf(c_0_50,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( w @ epred4_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( X3 @ ( esk5_1 @ esk1_0 ) )
| ~ ( w @ X6 )
| ~ ( w @ X3 )
| ~ ( X6 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_48]) ).
thf(c_0_51,negated_conjecture,
epred3_0 @ ( esk5_1 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_36])]) ).
thf(c_0_52,negated_conjecture,
( ( w @ epred3_0 )
| ( w @ epred4_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_53,negated_conjecture,
! [X3: b > $o,X2: b] :
( ( w @ epred4_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( X3 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
thf(c_0_54,negated_conjecture,
! [X3: b > $o] :
( ( w @ epred4_0 )
| ~ ( X3 @ ( esk5_1 @ esk1_0 ) )
| ~ ( w @ X3 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
thf(c_0_55,negated_conjecture,
w @ epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_52]) ).
thf(c_0_56,negated_conjecture,
! [X3: b > $o] :
( ( epred3_0 @ ( esk3_1 @ esk1_0 ) )
| ~ ( w @ X3 )
| ~ ( X3 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_55]),c_0_36])]) ).
thf(c_0_57,negated_conjecture,
epred3_0 @ ( esk3_1 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_36])]) ).
thf(c_0_58,negated_conjecture,
! [X3: b > $o,X2: b] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( X3 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_41]) ).
thf(c_0_59,negated_conjecture,
! [X3: b > $o] :
( ( ( f @ esk2_0 )
= esk1_0 )
| ~ ( X3 @ ( esk3_1 @ esk1_0 ) )
| ~ ( w @ X3 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
thf(c_0_60,negated_conjecture,
( ( f @ esk2_0 )
= esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_41]) ).
thf(c_0_61,negated_conjecture,
! [X6: b > $o,X3: b > $o,X2: b] :
( ( ( f @ X2 )
!= esk1_0 )
| ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_60]) ).
thf(c_0_62,negated_conjecture,
! [X6: b > $o,X3: b > $o] :
( ~ ( w @ X3 )
| ~ ( w @ X6 )
| ~ ( X6 @ esk2_0 )
| ~ ( X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
thf(c_0_63,negated_conjecture,
! [X3: b > $o] :
( ~ ( w @ X3 )
| ~ ( X3 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_55]),c_0_36])]) ).
thf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_55]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV223^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/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 15:29:21 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.JDsv4gRVL2/E---3.1_1382096.p
% 0.23/0.27 % Version: 3.5.1-ho
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.23/0.27 % Starting post_as_ho10 with 300s (1) cores
% 0.23/0.27 % Starting new_bool_9 with 300s (1) cores
% 0.23/0.27 % Starting sh5l with 300s (1) cores
% 0.23/0.27 % ehoh_best_nonlift_nonlambdatoforall with pid 1382138 completed with status 0
% 0.23/0.27 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.23/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.27 % No SInE strategy applied
% 0.23/0.27 % Search class: HUUPF-FFSF11-DSSFFFNN
% 0.23/0.27 % partial match(1): HUUPF-FFSF11-MSSFFFNN
% 0.23/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.23/0.27 % Starting sh5l with 136s (1) cores
% 0.23/0.27 % Starting new_bool_1 with 136s (1) cores
% 0.23/0.27 % Starting new_bool_2 with 136s (1) cores
% 0.23/0.27 % SubtermCWHack with pid 1382145 completed with status 10
% 0.23/0.27 % Starting new_bool_9 with 136s (1) cores
% 0.23/0.27 % ehoh_best_nonlift_nonlambdatoforall with pid 1382147 completed with status 0
% 0.23/0.27 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.23/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.27 % No SInE strategy applied
% 0.23/0.27 % Search class: HUUPF-FFSF11-DSSFFFNN
% 0.23/0.27 % partial match(1): HUUPF-FFSF11-MSSFFFNN
% 0.23/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.23/0.27 % Preprocessing time : 0.001 s
% 0.23/0.27 % Presaturation interreduction done
% 0.23/0.27
% 0.23/0.27 % Proof found!
% 0.23/0.27 % SZS status Theorem
% 0.23/0.27 % SZS output start CNFRefutation
% See solution above
% 0.23/0.27 % Parsed axioms : 5
% 0.23/0.27 % Removed by relevancy pruning/SinE : 0
% 0.23/0.27 % Initial clauses : 5
% 0.23/0.27 % Removed in clause preprocessing : 4
% 0.23/0.27 % Initial clauses in saturation : 1
% 0.23/0.27 % Processed clauses : 91
% 0.23/0.27 % ...of these trivial : 0
% 0.23/0.27 % ...subsumed : 6
% 0.23/0.27 % ...remaining for further processing : 85
% 0.23/0.27 % Other redundant clauses eliminated : 4
% 0.23/0.27 % Clauses deleted for lack of memory : 0
% 0.23/0.27 % Backward-subsumed : 28
% 0.23/0.27 % Backward-rewritten : 40
% 0.23/0.27 % Generated clauses : 174
% 0.23/0.27 % ...of the previous two non-redundant : 163
% 0.23/0.27 % ...aggressively subsumed : 0
% 0.23/0.27 % Contextual simplify-reflections : 10
% 0.23/0.27 % Paramodulations : 136
% 0.23/0.27 % Factorizations : 0
% 0.23/0.27 % NegExts : 5
% 0.23/0.27 % Equation resolutions : 4
% 0.23/0.27 % Disequality decompositions : 0
% 0.23/0.27 % Total rewrite steps : 70
% 0.23/0.27 % ...of those cached : 64
% 0.23/0.27 % Propositional unsat checks : 0
% 0.23/0.27 % Propositional check models : 0
% 0.23/0.27 % Propositional check unsatisfiable : 0
% 0.23/0.27 % Propositional clauses : 0
% 0.23/0.27 % Propositional clauses after purity: 0
% 0.23/0.27 % Propositional unsat core size : 0
% 0.23/0.27 % Propositional preprocessing time : 0.000
% 0.23/0.27 % Propositional encoding time : 0.000
% 0.23/0.27 % Propositional solver time : 0.000
% 0.23/0.27 % Success case prop preproc time : 0.000
% 0.23/0.27 % Success case prop encoding time : 0.000
% 0.23/0.27 % Success case prop solver time : 0.000
% 0.23/0.27 % Current number of processed clauses : 9
% 0.23/0.27 % Positive orientable unit clauses : 6
% 0.23/0.27 % Positive unorientable unit clauses: 0
% 0.23/0.27 % Negative unit clauses : 1
% 0.23/0.27 % Non-unit-clauses : 2
% 0.23/0.27 % Current number of unprocessed clauses: 26
% 0.23/0.27 % ...number of literals in the above : 126
% 0.23/0.27 % Current number of archived formulas : 0
% 0.23/0.27 % Current number of archived clauses : 76
% 0.23/0.27 % Clause-clause subsumption calls (NU) : 573
% 0.23/0.27 % Rec. Clause-clause subsumption calls : 164
% 0.23/0.27 % Non-unit clause-clause subsumptions : 38
% 0.23/0.27 % Unit Clause-clause subsumption calls : 41
% 0.23/0.27 % Rewrite failures with RHS unbound : 0
% 0.23/0.27 % BW rewrite match attempts : 6
% 0.23/0.27 % BW rewrite match successes : 6
% 0.23/0.27 % Condensation attempts : 0
% 0.23/0.27 % Condensation successes : 0
% 0.23/0.27 % Termbank termtop insertions : 7261
% 0.23/0.27 % Search garbage collected termcells : 27
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.010 s
% 0.23/0.27 % System time : 0.003 s
% 0.23/0.27 % Total time : 0.014 s
% 0.23/0.27 % Maximum resident set size: 3636 pages
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.025 s
% 0.23/0.27 % System time : 0.011 s
% 0.23/0.27 % Total time : 0.036 s
% 0.23/0.27 % Maximum resident set size: 4864 pages
% 0.23/0.27 % E exiting
%------------------------------------------------------------------------------