%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR132^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 07:46:46 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 205 ( 32 equ; 0 cnn)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 466 ( 71 ~; 70 |; 34 &; 291 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 118 ( 64 ^; 27 !; 27 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_44,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_58,type,
lAnna_THFTYPE_i: $i ).
thf(decl_63,type,
lBill_THFTYPE_i: $i ).
thf(decl_86,type,
lMary_THFTYPE_i: $i ).
thf(decl_96,type,
lSue_THFTYPE_i: $i ).
thf(decl_106,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_107,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_113,type,
n2009_THFTYPE_i: $i ).
thf(decl_117,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_140,type,
esk1_0: $i ).
thf(decl_141,type,
esk2_0: $i ).
thf(decl_144,type,
esk5_0: $i ).
thf(decl_145,type,
esk6_0: $i ).
thf(decl_146,type,
esk7_0: $i ).
thf(decl_147,type,
esk8_0: $i ).
thf(con,conjecture,
? [X60: $i > $i > $o,X61: $i > $i > $o,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X61 @ X2 @ lBill_THFTYPE_i )
& ( X60 @ X2 @ lAnna_THFTYPE_i )
& ( X61
!= ( ^ [X3: $i,X62: $i] : $true ) )
& ( X60
!= ( ^ [X3: $i,X62: $i] : $true ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',con) ).
thf(ax_048,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',ax_048) ).
thf(ax_052,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',ax_052) ).
thf(ax_008,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',ax_008) ).
thf(ax_003,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',ax_003) ).
thf(ax_053,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',ax_053) ).
thf(ax_027,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X1: $i,X2: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mryTEwCVuG/E---3.1_3887005.p',ax_027) ).
thf(c_0_7,negated_conjecture,
~ ? [X60: $i > $i > $o,X61: $i > $i > $o,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X61 @ X2 @ lBill_THFTYPE_i )
& ( X60 @ X2 @ lAnna_THFTYPE_i )
& ( X61
!= ( ^ [X3: $i,X62: $i] : $true ) )
& ( X60
!= ( ^ [X3: $i,X62: $i] : $true ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,axiom,
( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_048]) ).
thf(c_0_9,plain,
( ( ~ ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_052])]) ).
thf(c_0_10,negated_conjecture,
~ ? [X60: $i > $i > $o,X61: $i > $i > $o,X2: $i] :
( ( ~ ( ( X61 @ X2 @ lBill_THFTYPE_i )
& ( X60 @ X2 @ lAnna_THFTYPE_i )
& ( X61
!= ( ^ [Z0: $i,Z1: $i] : $true ) )
& ( X60
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X61 @ X2 @ lBill_THFTYPE_i )
& ( X60 @ X2 @ lAnna_THFTYPE_i )
& ( X61
!= ( ^ [Z0: $i,Z1: $i] : $true ) )
& ( X60
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])]) ).
thf(c_0_11,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X81: $i,X82: $i] :
( ( ( likes_THFTYPE_IiioI @ X81 @ X82 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ esk5_0 @ esk6_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
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_9])])])])]) ).
thf(c_0_13,axiom,
( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_008]) ).
thf(c_0_14,negated_conjecture,
! [X68: $i > $i > $o,X69: $i > $i > $o,X70: $i] :
( ( ~ ( X69 @ X70 @ lBill_THFTYPE_i )
| ~ ( X68 @ X70 @ lAnna_THFTYPE_i )
| ( X69
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X69 @ X70 @ lBill_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X69 @ X70 @ lBill_THFTYPE_i ) )
& ( ~ ( X69 @ X70 @ lBill_THFTYPE_i )
| ~ ( X68 @ X70 @ lAnna_THFTYPE_i )
| ( X69
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68 @ X70 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X68 @ X70 @ lAnna_THFTYPE_i ) )
& ( ~ ( X69 @ X70 @ lBill_THFTYPE_i )
| ~ ( X68 @ X70 @ lAnna_THFTYPE_i )
| ( X69
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X69
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X69
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) )
& ( ~ ( X69 @ X70 @ lBill_THFTYPE_i )
| ~ ( X68 @ X70 @ lAnna_THFTYPE_i )
| ( X69
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X68
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) )
& ( ~ ( X69 @ X70 @ lBill_THFTYPE_i )
| ~ ( X68 @ X70 @ lAnna_THFTYPE_i )
| ( X69
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X68
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
thf(c_0_15,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X1: $i,X2: $i] :
( ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X35: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ( X35
!= ( ^ [Z0: $i,Z1: $i] : $true ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,axiom,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_003]) ).
thf(c_0_20,negated_conjecture,
! [X60: $i > $i > $o,X35: $i > $i > $o,X1: $i] :
( ( X35
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X60
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ~ ( X35 @ X1 @ lBill_THFTYPE_i )
| ~ ( X60 @ X1 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_21,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_22,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(er,[status(thm)],[c_0_18]) ).
thf(c_0_24,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
thf(c_0_25,negated_conjecture,
! [X60: $i > $i > $o,X35: $i > $i > $o,X1: $i] :
( ( X35
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ( X60
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ~ ( X60 @ X1 @ lAnna_THFTYPE_i )
| ~ ( X35 @ X1 @ lBill_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
thf(c_0_26,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_27,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_28,negated_conjecture,
! [X35: $i > $i > $o] :
( ( ( ^ [Z0: $i,Z1: $i] : $true )
= parent_THFTYPE_IiioI )
| ( X35
= ( ^ [Z0: $i,Z1: $i] : $true ) )
| ~ ( X35 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_29,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_27,c_0_23]) ).
thf(c_0_30,plain,
( ( ~ ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_053])]) ).
thf(c_0_31,negated_conjecture,
( ( ( ^ [Z0: $i,Z1: $i] : $true )
= likes_THFTYPE_IiioI )
| ( ( ^ [Z0: $i,Z1: $i] : $true )
= parent_THFTYPE_IiioI ) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_32,plain,
( ( ~ ? [X1: $i,X2: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ? [X1: $i,X2: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_027])]) ).
thf(c_0_33,plain,
! [X85: $i,X86: $i] :
( ( ( likes_THFTYPE_IiioI @ X85 @ X86 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ esk7_0 @ esk8_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
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_30])])])])]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i,X2: $i] :
( ( ( ^ [Z0: $i,Z1: $i] : $true )
= parent_THFTYPE_IiioI )
| ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(arg_cong,[status(thm)],[c_0_31]) ).
thf(c_0_35,plain,
! [X71: $i,X72: $i] :
( ( ( parent_THFTYPE_IiioI @ X71 @ X72 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ esk1_0 @ esk2_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
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_32])])])])]) ).
thf(c_0_36,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ esk7_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( parent_THFTYPE_IiioI @ X3 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_34]) ).
thf(c_0_38,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( parent_THFTYPE_IiioI @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_23]) ).
thf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR132^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n015.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Sep 29 17:59:03 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running higher-order theorem proving
% 0.11/0.24 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.mryTEwCVuG/E---3.1_3887005.p
% 0.20/0.27 % Version: 3.5.1-ho
% 0.20/0.27 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.20/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.20/0.27 % Starting full_lambda_7 with 300s (1) cores
% 0.20/0.27 % Starting new_ho_4 with 300s (1) cores
% 0.20/0.27 % Starting lpo5_fix with 300s (1) cores
% 0.20/0.27 % full_lambda_7 with pid 3887019 completed with status 0
% 0.20/0.27 % Result found by full_lambda_7
% 0.20/0.27 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.20/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.20/0.27 % Starting full_lambda_7 with 300s (1) cores
% 0.20/0.27 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.20/0.27 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.20/0.27 % Search class: HGHSF-FFMM11-SHSFFFBN
% 0.20/0.27 % partial match(1): HGHSF-FFMM11-SSSFFFBN
% 0.20/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.27 % SubtermCWHack with pid 3887022 completed with status 0
% 0.20/0.27 % Result found by SubtermCWHack
% 0.20/0.27 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.20/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.20/0.27 % Starting full_lambda_7 with 300s (1) cores
% 0.20/0.27 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.20/0.27 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.20/0.27 % Search class: HGHSF-FFMM11-SHSFFFBN
% 0.20/0.27 % partial match(1): HGHSF-FFMM11-SSSFFFBN
% 0.20/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.27 % Preprocessing time : 0.002 s
% 0.20/0.27
% 0.20/0.27 % Proof found!
% 0.20/0.27 % SZS status Theorem
% 0.20/0.27 % SZS output start CNFRefutation
% See solution above
% 0.20/0.27 % Parsed axioms : 336
% 0.20/0.27 % Removed by relevancy pruning/SinE : 304
% 0.20/0.27 % Initial clauses : 58
% 0.20/0.27 % Removed in clause preprocessing : 5
% 0.20/0.27 % Initial clauses in saturation : 53
% 0.20/0.27 % Processed clauses : 68
% 0.20/0.27 % ...of these trivial : 9
% 0.20/0.27 % ...subsumed : 12
% 0.20/0.27 % ...remaining for further processing : 47
% 0.20/0.27 % Other redundant clauses eliminated : 1
% 0.20/0.27 % Clauses deleted for lack of memory : 0
% 0.20/0.27 % Backward-subsumed : 2
% 0.20/0.27 % Backward-rewritten : 8
% 0.20/0.27 % Generated clauses : 50
% 0.20/0.27 % ...of the previous two non-redundant : 46
% 0.20/0.27 % ...aggressively subsumed : 0
% 0.20/0.27 % Contextual simplify-reflections : 1
% 0.20/0.27 % Paramodulations : 21
% 0.20/0.27 % Factorizations : 1
% 0.20/0.27 % NegExts : 0
% 0.20/0.27 % Equation resolutions : 1
% 0.20/0.27 % Disequality decompositions : 0
% 0.20/0.27 % Total rewrite steps : 18
% 0.20/0.27 % ...of those cached : 9
% 0.20/0.27 % Propositional unsat checks : 0
% 0.20/0.27 % Propositional check models : 0
% 0.20/0.27 % Propositional check unsatisfiable : 0
% 0.20/0.27 % Propositional clauses : 0
% 0.20/0.27 % Propositional clauses after purity: 0
% 0.20/0.27 % Propositional unsat core size : 0
% 0.20/0.27 % Propositional preprocessing time : 0.000
% 0.20/0.27 % Propositional encoding time : 0.000
% 0.20/0.27 % Propositional solver time : 0.000
% 0.20/0.27 % Success case prop preproc time : 0.000
% 0.20/0.27 % Success case prop encoding time : 0.000
% 0.20/0.27 % Success case prop solver time : 0.000
% 0.20/0.27 % Current number of processed clauses : 30
% 0.20/0.27 % Positive orientable unit clauses : 20
% 0.20/0.27 % Positive unorientable unit clauses: 0
% 0.20/0.27 % Negative unit clauses : 1
% 0.20/0.27 % Non-unit-clauses : 9
% 0.20/0.27 % Current number of unprocessed clauses: 31
% 0.20/0.27 % ...number of literals in the above : 98
% 0.20/0.27 % Current number of archived formulas : 0
% 0.20/0.27 % Current number of archived clauses : 16
% 0.20/0.27 % Clause-clause subsumption calls (NU) : 41
% 0.20/0.27 % Rec. Clause-clause subsumption calls : 34
% 0.20/0.27 % Non-unit clause-clause subsumptions : 9
% 0.20/0.27 % Unit Clause-clause subsumption calls : 16
% 0.20/0.27 % Rewrite failures with RHS unbound : 0
% 0.20/0.27 % BW rewrite match attempts : 10
% 0.20/0.27 % BW rewrite match successes : 9
% 0.20/0.27 % Condensation attempts : 0
% 0.20/0.27 % Condensation successes : 0
% 0.20/0.27 % Termbank termtop insertions : 5328
% 0.20/0.27 % Search garbage collected termcells : 1192
% 0.20/0.27
% 0.20/0.27 % -------------------------------------------------
% 0.20/0.27 % User time : 0.009 s
% 0.20/0.27 % System time : 0.003 s
% 0.20/0.27 % Total time : 0.012 s
% 0.20/0.27 % Maximum resident set size: 4164 pages
% 0.20/0.27
% 0.20/0.27 % -------------------------------------------------
% 0.20/0.27 % User time : 0.014 s
% 0.20/0.27 % System time : 0.010 s
% 0.20/0.27 % Total time : 0.023 s
% 0.20/0.27 % Maximum resident set size: 4864 pages
% 0.20/0.27 % E exiting
%------------------------------------------------------------------------------