%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR132^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 07:46:36 AM UTC 2026
% Result : Theorem 0.26s 0.30s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 241 ( 4 equ; 0 cnn)
% Maximal formula atoms : 100 ( 6 avg)
% Number of connectives : 1220 ( 199 ~; 244 |; 59 &; 714 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 94 ( 8 ^; 59 !; 27 ?; 94 :)
% 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_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_141,type,
esk2_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_142,type,
esk3_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_143,type,
esk4_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_144,type,
esk5_0: $i ).
thf(decl_145,type,
esk6_0: $i ).
thf(decl_148,type,
esk9_0: $i ).
thf(decl_149,type,
esk10_0: $i ).
thf(decl_150,type,
esk11_0: $i ).
thf(decl_151,type,
esk12_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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.p',ax_052) ).
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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.p',ax_003) ).
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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.p',ax_008) ).
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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.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/sandbox/tmp/tmp.PyBmMDw7Xp/E---3.1_1633252.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 )
& ~ ! [X78: $i,X79: $i] :
( ( X61 @ X78 @ X79 )
<=> $true )
& ~ ! [X80: $i,X81: $i] :
( ( X60 @ X80 @ X81 )
<=> $true ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X61 @ X2 @ lBill_THFTYPE_i )
& ( X60 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X78: $i,X79: $i] :
( ( X61 @ X78 @ X79 )
<=> $true )
& ~ ! [X80: $i,X81: $i] :
( ( X60 @ X80 @ X81 )
<=> $true ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[inference(fof_simplification,[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,
! [X110: $i,X111: $i] :
( ( ( likes_THFTYPE_IiioI @ X110 @ X111 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ esk9_0 @ esk10_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,negated_conjecture,
! [X82: $i > $i > $o,X83: $i > $i > $o,X84: $i,X89: $i,X90: $i,X91: $i,X92: $i,X93: $i,X94: $i,X95: $i,X96: $i] :
( ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ X84 @ lBill_THFTYPE_i ) )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ X84 @ lBill_THFTYPE_i ) )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ X84 @ lBill_THFTYPE_i ) )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ X84 @ lBill_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X83 @ X84 @ lBill_THFTYPE_i ) )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ X84 @ lAnna_THFTYPE_i ) )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ X84 @ lAnna_THFTYPE_i ) )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ X84 @ lAnna_THFTYPE_i ) )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ X84 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X82 @ X84 @ lAnna_THFTYPE_i ) )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X83 @ ( esk1_3 @ X82 @ X83 @ X84 ) @ ( esk2_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| ~ $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X82 @ ( esk3_3 @ X82 @ X83 @ X84 ) @ ( esk4_3 @ X82 @ X83 @ X84 ) )
| $true )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ ( X83 @ X89 @ X90 )
| $true
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( X82 @ X93 @ X94 )
| $true
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ $true
| ( X82 @ X95 @ X96 )
| ~ $true
| ( X83 @ X91 @ X92 )
| ~ ( X83 @ X84 @ lBill_THFTYPE_i )
| ~ ( X82 @ X84 @ lAnna_THFTYPE_i )
| ~ ( 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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])])]) ).
thf(c_0_14,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_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,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X60: $i > $i > $o,X35: $i > $i > $o,X5: $i] :
( ( X35 @ X1 @ X2 )
| ( X60 @ X3 @ X4 )
| ~ $true
| ~ $true
| ~ ( X60 @ X5 @ lBill_THFTYPE_i )
| ~ ( X35 @ X5 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_18,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_14]) ).
thf(c_0_19,negated_conjecture,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_21,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_22,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X60: $i > $i > $o,X35: $i > $i > $o,X5: $i] :
( ( X60 @ X3 @ X4 )
| ( X35 @ X1 @ X2 )
| ~ ( X60 @ X5 @ lBill_THFTYPE_i )
| ~ ( X35 @ X5 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(cn,[status(thm)],[c_0_17]) ).
thf(c_0_23,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_18]) ).
thf(c_0_24,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
thf(c_0_25,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_21]) ).
thf(c_0_26,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_27,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X60: $i > $i > $o,X35: $i > $i > $o,X5: $i] :
( ( X35 @ X1 @ X2 )
| ( X60 @ X3 @ X4 )
| ~ ( X60 @ X5 @ lBill_THFTYPE_i )
| ~ ( X35 @ X5 @ lAnna_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
thf(c_0_28,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_29,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_25]) ).
thf(c_0_30,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_31,plain,
! [X114: $i,X115: $i] :
( ( ( likes_THFTYPE_IiioI @ X114 @ X115 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ esk11_0 @ esk12_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_26])])])])]) ).
thf(c_0_32,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X35: $i > $i > $o] :
( ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( X35 @ X3 @ X4 )
| ~ ( X35 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_33,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(sr,[status(thm)],[c_0_29,c_0_24]) ).
thf(c_0_34,plain,
! [X97: $i,X98: $i] :
( ( ( parent_THFTYPE_IiioI @ X97 @ X98 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_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_30])])])])]) ).
thf(c_0_35,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ esk11_0 @ esk12_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( likes_THFTYPE_IiioI @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_37,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( parent_THFTYPE_IiioI @ esk5_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_38,negated_conjecture,
! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24]) ).
thf(c_0_39,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR132^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 17:55:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.27 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.PyBmMDw7Xp/E---3.1_1633252.p
% 0.26/0.30 % Version: 3.5.1-ho
% 0.26/0.30 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.26/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.26/0.30 % Starting full_lambda_7 with 300s (1) cores
% 0.26/0.30 % Starting new_ho_4 with 300s (1) cores
% 0.26/0.30 % Starting lpo5_fix with 300s (1) cores
% 0.26/0.30 % new_ho_4 with pid 1633287 completed with status 0
% 0.26/0.30 % Result found by new_ho_4
% 0.26/0.30 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.26/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.26/0.30 % Starting full_lambda_7 with 300s (1) cores
% 0.26/0.30 % Starting new_ho_4 with 300s (1) cores
% 0.26/0.30 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true))
% 0.26/0.30 % SinE strategy is GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true)
% 0.26/0.30 % Search class: HGHNF-FFMM31-SHSFFFBN
% 0.26/0.30 % partial match(2): HGHSF-FFMM21-SHSFFFBN
% 0.26/0.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.30 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.30 % SubtermCWHack with pid 1633290 completed with status 0
% 0.26/0.30 % Result found by SubtermCWHack
% 0.26/0.30 % Preprocessing class: HSLMSMSMSSMNHSA.
% 0.26/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.26/0.30 % Starting full_lambda_7 with 300s (1) cores
% 0.26/0.30 % Starting new_ho_4 with 300s (1) cores
% 0.26/0.30 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true))
% 0.26/0.30 % SinE strategy is GSinE(CountFormulas,hypos,5.5,,2,20000,1.0,true)
% 0.26/0.30 % Search class: HGHNF-FFMM31-SHSFFFBN
% 0.26/0.30 % partial match(2): HGHSF-FFMM21-SHSFFFBN
% 0.26/0.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.30 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.30 % Preprocessing time : 0.002 s
% 0.26/0.30
% 0.26/0.30 % Proof found!
% 0.26/0.30 % SZS status Theorem
% 0.26/0.30 % SZS output start CNFRefutation
% See solution above
% 0.26/0.30 % Parsed axioms : 336
% 0.26/0.30 % Removed by relevancy pruning/SinE : 255
% 0.26/0.30 % Initial clauses : 132
% 0.26/0.30 % Removed in clause preprocessing : 28
% 0.26/0.30 % Initial clauses in saturation : 104
% 0.26/0.30 % Processed clauses : 113
% 0.26/0.30 % ...of these trivial : 9
% 0.26/0.30 % ...subsumed : 11
% 0.26/0.30 % ...remaining for further processing : 93
% 0.26/0.30 % Other redundant clauses eliminated : 0
% 0.26/0.30 % Clauses deleted for lack of memory : 0
% 0.26/0.30 % Backward-subsumed : 3
% 0.26/0.30 % Backward-rewritten : 10
% 0.26/0.30 % Generated clauses : 17
% 0.26/0.30 % ...of the previous two non-redundant : 16
% 0.26/0.30 % ...aggressively subsumed : 0
% 0.26/0.30 % Contextual simplify-reflections : 1
% 0.26/0.30 % Paramodulations : 11
% 0.26/0.30 % Factorizations : 0
% 0.26/0.30 % NegExts : 0
% 0.26/0.30 % Equation resolutions : 0
% 0.26/0.30 % Disequality decompositions : 0
% 0.26/0.30 % Total rewrite steps : 20
% 0.26/0.30 % ...of those cached : 10
% 0.26/0.30 % Propositional unsat checks : 0
% 0.26/0.30 % Propositional check models : 0
% 0.26/0.30 % Propositional check unsatisfiable : 0
% 0.26/0.30 % Propositional clauses : 0
% 0.26/0.30 % Propositional clauses after purity: 0
% 0.26/0.30 % Propositional unsat core size : 0
% 0.26/0.30 % Propositional preprocessing time : 0.000
% 0.26/0.30 % Propositional encoding time : 0.000
% 0.26/0.30 % Propositional solver time : 0.000
% 0.26/0.30 % Success case prop preproc time : 0.000
% 0.26/0.30 % Success case prop encoding time : 0.000
% 0.26/0.30 % Success case prop solver time : 0.000
% 0.26/0.30 % Current number of processed clauses : 74
% 0.26/0.30 % Positive orientable unit clauses : 65
% 0.26/0.30 % Positive unorientable unit clauses: 0
% 0.26/0.30 % Negative unit clauses : 1
% 0.26/0.30 % Non-unit-clauses : 8
% 0.26/0.30 % Current number of unprocessed clauses: 6
% 0.26/0.30 % ...number of literals in the above : 20
% 0.26/0.30 % Current number of archived formulas : 0
% 0.26/0.30 % Current number of archived clauses : 19
% 0.26/0.30 % Clause-clause subsumption calls (NU) : 67
% 0.26/0.30 % Rec. Clause-clause subsumption calls : 54
% 0.26/0.30 % Non-unit clause-clause subsumptions : 10
% 0.26/0.30 % Unit Clause-clause subsumption calls : 28
% 0.26/0.30 % Rewrite failures with RHS unbound : 0
% 0.26/0.30 % BW rewrite match attempts : 11
% 0.26/0.30 % BW rewrite match successes : 10
% 0.26/0.30 % Condensation attempts : 0
% 0.26/0.30 % Condensation successes : 0
% 0.26/0.30 % Termbank termtop insertions : 7399
% 0.26/0.30 % Search garbage collected termcells : 1405
% 0.26/0.30
% 0.26/0.30 % -------------------------------------------------
% 0.26/0.30 % User time : 0.008 s
% 0.26/0.30 % System time : 0.004 s
% 0.26/0.30 % Total time : 0.012 s
% 0.26/0.30 % Maximum resident set size: 4420 pages
% 0.26/0.30
% 0.26/0.30 % -------------------------------------------------
% 0.26/0.30 % User time : 0.013 s
% 0.26/0.30 % System time : 0.010 s
% 0.26/0.30 % Total time : 0.023 s
% 0.26/0.30 % Maximum resident set size: 5120 pages
% 0.26/0.30 % E exiting
%------------------------------------------------------------------------------