%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR131^2 : 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 : n012.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 0.08s 0.15s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 159 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 599 ( 83 ~; 81 |; 36 &; 397 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 68 ( 0 ^; 59 !; 9 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_29,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_34,type,
lAnna_THFTYPE_i: $i ).
thf(decl_37,type,
lBen_THFTYPE_i: $i ).
thf(decl_38,type,
lBill_THFTYPE_i: $i ).
thf(decl_40,type,
lBob_THFTYPE_i: $i ).
thf(decl_43,type,
lMary_THFTYPE_i: $i ).
thf(decl_47,type,
lSue_THFTYPE_i: $i ).
thf(decl_54,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_55,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_59,type,
n2009_THFTYPE_i: $i ).
thf(decl_61,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_70,type,
esk1_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_71,type,
esk2_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_72,type,
esk3_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_73,type,
esk4_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(con,conjecture,
? [X36: $i > $i > $o,X37: $i > $i > $o,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X37 @ X2 @ lBill_THFTYPE_i )
& ( X36 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X38: $i,X39: $i] : ( X37 @ X38 @ X39 )
& ~ ! [X38: $i,X39: $i] : ( X36 @ X38 @ X39 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.14HnNepuOc/E---3.1_460852.p',con) ).
thf(ax_014,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.14HnNepuOc/E---3.1_460852.p',ax_014) ).
thf(ax_009,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.14HnNepuOc/E---3.1_460852.p',ax_009) ).
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.14HnNepuOc/E---3.1_460852.p',ax_003) ).
thf(ax_028,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.14HnNepuOc/E---3.1_460852.p',ax_028) ).
thf(ax_026,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.14HnNepuOc/E---3.1_460852.p',ax_026) ).
thf(ax_031,axiom,
! [X28: $i,X29: $o] :
( ( holdsDuring_THFTYPE_IiooI @ X28 @ ~ X29 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ X29 ) ),
file('/export/starexec/sandbox2/tmp/tmp.14HnNepuOc/E---3.1_460852.p',ax_031) ).
thf(c_0_7,negated_conjecture,
~ ? [X36: $i > $i > $o,X37: $i > $i > $o,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X37 @ X2 @ lBill_THFTYPE_i )
& ( X36 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X38: $i,X39: $i] : ( X37 @ X38 @ X39 )
& ~ ! [X38: $i,X39: $i] : ( X36 @ X38 @ X39 ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,axiom,
( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_014]) ).
thf(c_0_9,negated_conjecture,
~ ? [X36: $i > $i > $o,X37: $i > $i > $o,X2: $i] :
( ( ~ ( ( X37 @ X2 @ lBill_THFTYPE_i )
& ( X36 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X38: $i,X39: $i] : ( X37 @ X38 @ X39 )
& ~ ! [X38: $i,X39: $i] : ( X36 @ X38 @ X39 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X37 @ X2 @ lBill_THFTYPE_i )
& ( X36 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X38: $i,X39: $i] : ( X37 @ X38 @ X39 )
& ~ ! [X38: $i,X39: $i] : ( X36 @ X38 @ X39 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lBob_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_11,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_009]) ).
thf(c_0_12,negated_conjecture,
! [X45: $i > $i > $o,X46: $i > $i > $o,X47: $i,X52: $i,X53: $i,X54: $i,X55: $i] :
( ( ~ ( X46 @ X47 @ lBill_THFTYPE_i )
| ~ ( X45 @ X47 @ lAnna_THFTYPE_i )
| ( X46 @ X52 @ X53 )
| ( X45 @ X54 @ X55 )
| ( X46 @ X47 @ lBill_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X46 @ X47 @ lBill_THFTYPE_i ) )
& ( ~ ( X46 @ X47 @ lBill_THFTYPE_i )
| ~ ( X45 @ X47 @ lAnna_THFTYPE_i )
| ( X46 @ X52 @ X53 )
| ( X45 @ X54 @ X55 )
| ( X45 @ X47 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X45 @ X47 @ lAnna_THFTYPE_i ) )
& ( ~ ( X46 @ X47 @ lBill_THFTYPE_i )
| ~ ( X45 @ X47 @ lAnna_THFTYPE_i )
| ( X46 @ X52 @ X53 )
| ( X45 @ X54 @ X55 )
| ~ ( X46 @ ( esk1_3 @ X45 @ X46 @ X47 ) @ ( esk2_3 @ X45 @ X46 @ X47 ) ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X46 @ ( esk1_3 @ X45 @ X46 @ X47 ) @ ( esk2_3 @ X45 @ X46 @ X47 ) ) )
& ( ~ ( X46 @ X47 @ lBill_THFTYPE_i )
| ~ ( X45 @ X47 @ lAnna_THFTYPE_i )
| ( X46 @ X52 @ X53 )
| ( X45 @ X54 @ X55 )
| ~ ( X45 @ ( esk3_3 @ X45 @ X46 @ X47 ) @ ( esk4_3 @ X45 @ X46 @ X47 ) ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X45 @ ( esk3_3 @ X45 @ X46 @ X47 ) @ ( esk4_3 @ X45 @ X46 @ X47 ) ) )
& ( ~ ( X46 @ X47 @ lBill_THFTYPE_i )
| ~ ( X45 @ X47 @ lAnna_THFTYPE_i )
| ( X46 @ X52 @ X53 )
| ( X45 @ X54 @ X55 )
| ~ ( 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(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).
thf(c_0_13,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,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_11]) ).
thf(c_0_16,negated_conjecture,
! [X36: $i > $i > $o,X1: $i] :
( ( X36 @ X1 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_18,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X36: $i > $i > $o,X1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( X36 @ X1 @ lAnna_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_20,negated_conjecture,
! [X4: $i,X3: $i,X5: $i,X36: $i > $i > $o,X37: $i > $i > $o,X2: $i,X1: $i] :
( ( X36 @ X2 @ X3 )
| ( X37 @ X4 @ X5 )
| ~ ( X36 @ X1 @ lBill_THFTYPE_i )
| ~ ( X37 @ X1 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_21,negated_conjecture,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_22,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_23,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_028])]) ).
thf(c_0_24,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X37: $i > $i > $o,X36: $i > $i > $o,X5: $i] :
( ( X36 @ X1 @ X2 )
| ( X37 @ X3 @ X4 )
| ~ ( X37 @ X5 @ lAnna_THFTYPE_i )
| ~ ( X36 @ X5 @ lBill_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
thf(c_0_25,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_15]) ).
thf(c_0_26,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_22]) ).
thf(c_0_27,plain,
( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_026])]) ).
thf(c_0_28,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_23]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X36: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( X36 @ X3 @ X4 )
| ~ ( X36 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_30,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_26]) ).
thf(c_0_31,plain,
! [X28: $i,X29: $o] :
( ( ( X29
| ( holdsDuring_THFTYPE_IiooI @ X28 @ $true ) )
& ( ~ X29
| ( holdsDuring_THFTYPE_IiooI @ X28 @ $false ) ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X28 @ X29 ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_031])]) ).
thf(c_0_32,plain,
( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_27]) ).
thf(c_0_33,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( parent_THFTYPE_IiioI @ X3 @ X4 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,plain,
! [X56: $i,X57: $o] :
( ( X57
| ~ X57
| ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ X57 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ $false )
| ~ X57
| ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ X57 ) )
& ( X57
| ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ X57 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X56 @ X57 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
thf(c_0_36,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i,X2: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ( parent_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_38,plain,
! [X1: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_35])])]) ).
thf(c_0_39,negated_conjecture,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR131^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 17:55:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.13 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.14HnNepuOc/E---3.1_460852.p
% 0.08/0.15 % Version: 3.5.1-ho
% 0.08/0.15 % Preprocessing class: HSLSSMSMSSSNSSA.
% 0.08/0.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.15 % Starting new_ho_10_unif with 1500s (5) cores
% 0.08/0.15 % Starting sh3l with 300s (1) cores
% 0.08/0.15 % Starting new_ho_6 with 300s (1) cores
% 0.08/0.15 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.08/0.15 % sh3l with pid 460866 completed with status 0
% 0.08/0.15 % Result found by sh3l
% 0.08/0.15 % Preprocessing class: HSLSSMSMSSSNSSA.
% 0.08/0.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.15 % Starting new_ho_10_unif with 1500s (5) cores
% 0.08/0.15 % Starting sh3l with 300s (1) cores
% 0.08/0.15 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.08/0.15 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.08/0.15 % Search class: HGHNF-FFMM32-SSSFFSBN
% 0.08/0.15 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.15 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.15 % SubtermCWHack with pid 460869 completed with status 0
% 0.08/0.15 % Result found by SubtermCWHack
% 0.08/0.15 % Preprocessing class: HSLSSMSMSSSNSSA.
% 0.08/0.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.15 % Starting new_ho_10_unif with 1500s (5) cores
% 0.08/0.15 % Starting sh3l with 300s (1) cores
% 0.08/0.15 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.08/0.15 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.08/0.15 % Search class: HGHNF-FFMM32-SSSFFSBN
% 0.08/0.15 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.15 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.15 % Preprocessing time : 0.001 s
% 0.08/0.15
% 0.08/0.15 % Proof found!
% 0.08/0.15 % SZS status Theorem
% 0.08/0.15 % SZS output start CNFRefutation
% See solution above
% 0.08/0.15 % Parsed axioms : 128
% 0.08/0.15 % Removed by relevancy pruning/SinE : 106
% 0.08/0.15 % Initial clauses : 54
% 0.08/0.15 % Removed in clause preprocessing : 3
% 0.08/0.15 % Initial clauses in saturation : 51
% 0.08/0.15 % Processed clauses : 57
% 0.08/0.15 % ...of these trivial : 0
% 0.08/0.15 % ...subsumed : 24
% 0.08/0.15 % ...remaining for further processing : 33
% 0.08/0.15 % Other redundant clauses eliminated : 0
% 0.08/0.15 % Clauses deleted for lack of memory : 0
% 0.08/0.15 % Backward-subsumed : 8
% 0.08/0.15 % Backward-rewritten : 21
% 0.08/0.15 % Generated clauses : 33
% 0.08/0.15 % ...of the previous two non-redundant : 29
% 0.08/0.15 % ...aggressively subsumed : 0
% 0.08/0.15 % Contextual simplify-reflections : 0
% 0.08/0.15 % Paramodulations : 33
% 0.08/0.15 % Factorizations : 0
% 0.08/0.15 % NegExts : 0
% 0.08/0.15 % Equation resolutions : 0
% 0.08/0.15 % Disequality decompositions : 0
% 0.08/0.15 % Total rewrite steps : 23
% 0.08/0.15 % ...of those cached : 21
% 0.08/0.15 % Propositional unsat checks : 0
% 0.08/0.15 % Propositional check models : 0
% 0.08/0.15 % Propositional check unsatisfiable : 0
% 0.08/0.15 % Propositional clauses : 0
% 0.08/0.15 % Propositional clauses after purity: 0
% 0.08/0.15 % Propositional unsat core size : 0
% 0.08/0.15 % Propositional preprocessing time : 0.000
% 0.08/0.15 % Propositional encoding time : 0.000
% 0.08/0.15 % Propositional solver time : 0.000
% 0.08/0.15 % Success case prop preproc time : 0.000
% 0.08/0.15 % Success case prop encoding time : 0.000
% 0.08/0.15 % Success case prop solver time : 0.000
% 0.08/0.15 % Current number of processed clauses : 4
% 0.08/0.15 % Positive orientable unit clauses : 2
% 0.08/0.15 % Positive unorientable unit clauses: 0
% 0.08/0.15 % Negative unit clauses : 0
% 0.08/0.15 % Non-unit-clauses : 2
% 0.08/0.15 % Current number of unprocessed clauses: 7
% 0.08/0.15 % ...number of literals in the above : 28
% 0.08/0.15 % Current number of archived formulas : 0
% 0.08/0.15 % Current number of archived clauses : 29
% 0.08/0.15 % Clause-clause subsumption calls (NU) : 105
% 0.08/0.15 % Rec. Clause-clause subsumption calls : 96
% 0.08/0.15 % Non-unit clause-clause subsumptions : 31
% 0.08/0.15 % Unit Clause-clause subsumption calls : 8
% 0.08/0.15 % Rewrite failures with RHS unbound : 0
% 0.08/0.15 % BW rewrite match attempts : 2
% 0.08/0.15 % BW rewrite match successes : 2
% 0.08/0.15 % Condensation attempts : 0
% 0.08/0.15 % Condensation successes : 0
% 0.08/0.15 % Termbank termtop insertions : 4292
% 0.08/0.15 % Search garbage collected termcells : 578
% 0.08/0.15
% 0.08/0.15 % -------------------------------------------------
% 0.08/0.15 % User time : 0.004 s
% 0.08/0.15 % System time : 0.002 s
% 0.08/0.15 % Total time : 0.005 s
% 0.08/0.15 % Maximum resident set size: 3740 pages
% 0.08/0.15
% 0.08/0.15 % -------------------------------------------------
% 0.08/0.15 % User time : 0.005 s
% 0.08/0.15 % System time : 0.004 s
% 0.08/0.15 % Total time : 0.009 s
% 0.08/0.15 % Maximum resident set size: 4864 pages
% 0.08/0.15 % E exiting
%------------------------------------------------------------------------------