%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR133^1 : 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 : n014.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 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 169 ( 20 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 487 ( 66 ~; 66 |; 28 &; 325 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 34 !; 9 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_24,type,
lAnna_THFTYPE_i: $i ).
thf(decl_25,type,
lBen_THFTYPE_i: $i ).
thf(decl_26,type,
lBill_THFTYPE_i: $i ).
thf(decl_27,type,
lBob_THFTYPE_i: $i ).
thf(decl_28,type,
lMary_THFTYPE_i: $i ).
thf(decl_29,type,
lSue_THFTYPE_i: $i ).
thf(decl_30,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_31,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_32,type,
n2009_THFTYPE_i: $i ).
thf(decl_33,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.p3lw7t1grv/E---3.1_2996939.p',con) ).
thf(ax_004,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.p3lw7t1grv/E---3.1_2996939.p',ax_004) ).
thf(ax_007,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.p3lw7t1grv/E---3.1_2996939.p',ax_007) ).
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.p3lw7t1grv/E---3.1_2996939.p',ax_003) ).
thf(ax_006,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.p3lw7t1grv/E---3.1_2996939.p',ax_006) ).
thf(ax_005,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.p3lw7t1grv/E---3.1_2996939.p',ax_005) ).
thf(ax_008,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.p3lw7t1grv/E---3.1_2996939.p',ax_008) ).
thf(c_0_7,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_7])]) ).
thf(c_0_9,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_004]) ).
thf(c_0_10,negated_conjecture,
! [X7: $i > $i > $o,X8: $i > $i > $o,X9: $i] :
( ( ~ ( X8 @ X9 @ lBill_THFTYPE_i )
| ~ ( X7 @ X9 @ lAnna_THFTYPE_i )
| ( X8 = X7 )
| ( X8 @ X9 @ lBill_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X8 @ X9 @ lBill_THFTYPE_i ) )
& ( ~ ( X8 @ X9 @ lBill_THFTYPE_i )
| ~ ( X7 @ X9 @ lAnna_THFTYPE_i )
| ( X8 = X7 )
| ( X7 @ X9 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X7 @ X9 @ lAnna_THFTYPE_i ) )
& ( ~ ( X8 @ X9 @ lBill_THFTYPE_i )
| ~ ( X7 @ X9 @ lAnna_THFTYPE_i )
| ( X8 = X7 )
| ( X8 != X7 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X8 != X7 ) )
& ( ~ ( X8 @ X9 @ lBill_THFTYPE_i )
| ~ ( X7 @ X9 @ lAnna_THFTYPE_i )
| ( X8 = X7 )
| ~ ( 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_8])])])]) ).
thf(c_0_11,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_9]) ).
thf(c_0_12,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ( X1 != X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_13,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_11]) ).
thf(c_0_14,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(er,[status(thm)],[c_0_12]) ).
thf(c_0_15,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_007]) ).
thf(c_0_16,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_11]) ).
thf(c_0_17,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_18,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_15]) ).
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,
! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( X1 = X2 )
| ~ ( X1 @ X3 @ lBill_THFTYPE_i )
| ~ ( X2 @ X3 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_21,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
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_18]) ).
thf(c_0_23,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_24,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( X1 = X2 )
| ~ ( X2 @ X3 @ lAnna_THFTYPE_i )
| ~ ( X1 @ X3 @ 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,
inference(sr,[status(thm)],[c_0_22,c_0_14]) ).
thf(c_0_26,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_23]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 = parent_THFTYPE_IiioI )
| ~ ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_28,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_26,c_0_14]) ).
thf(c_0_29,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_006]) ).
thf(c_0_30,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o,X11: $i,X10: $i,X3: $i] :
( ( ( X1 @ X10 @ X11 )
<=> ( X2 @ X10 @ X11 ) )
| ~ ( X2 @ X3 @ lAnna_THFTYPE_i )
| ~ ( X1 @ X3 @ lBill_THFTYPE_i ) ),
inference(arg_cong,[status(thm)],[c_0_24]) ).
thf(c_0_31,negated_conjecture,
likes_THFTYPE_IiioI = parent_THFTYPE_IiioI,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_32,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_29]) ).
thf(c_0_33,negated_conjecture,
! [X9: $i,X1: $i > $i > $o,X2: $i > $i > $o,X3: $i,X6: $i] :
( ( X1 @ X3 @ X6 )
| ~ ( X2 @ X9 @ lAnna_THFTYPE_i )
| ~ ( X1 @ X9 @ lBill_THFTYPE_i )
| ~ ( X2 @ X3 @ X6 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_30]) ).
thf(c_0_34,negated_conjecture,
! [X14: $i,X15: $i] :
( ( likes_THFTYPE_IiioI @ X14 @ X15 )
<=> ( parent_THFTYPE_IiioI @ X14 @ X15 ) ),
inference(arg_cong,[status(thm)],[c_0_31]) ).
thf(c_0_35,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_36,negated_conjecture,
! [X6: $i,X3: $i,X1: $i > $i > $o,X9: $i] :
( ( X3 = X6 )
| ~ ( X1 @ X3 @ lAnna_THFTYPE_i )
| ~ ( X1 @ X6 @ X9 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_33]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i,X6: $i] :
( ( parent_THFTYPE_IiioI @ X3 @ X6 )
| ~ ( likes_THFTYPE_IiioI @ X3 @ X6 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_34]) ).
thf(c_0_38,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_35,c_0_14]) ).
thf(c_0_39,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_005])]) ).
thf(c_0_40,negated_conjecture,
! [X3: $i,X6: $i] :
( ( lSue_THFTYPE_i = X3 )
| ~ ( parent_THFTYPE_IiioI @ X3 @ X6 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
thf(c_0_41,negated_conjecture,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_42,axiom,
( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_008]) ).
thf(c_0_43,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_39]) ).
thf(c_0_44,negated_conjecture,
lSue_THFTYPE_i = lMary_THFTYPE_i,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_45,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_42]) ).
thf(c_0_46,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_43]) ).
thf(c_0_47,negated_conjecture,
! [X3: $i,X6: $i] :
( ( lMary_THFTYPE_i = X3 )
| ~ ( parent_THFTYPE_IiioI @ X3 @ X6 ) ),
inference(rw,[status(thm)],[c_0_40,c_0_44]) ).
thf(c_0_48,negated_conjecture,
parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
thf(c_0_49,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_50,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(sr,[status(thm)],[c_0_46,c_0_14]) ).
thf(c_0_51,negated_conjecture,
lBob_THFTYPE_i = lMary_THFTYPE_i,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_52,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(sr,[status(thm)],[c_0_49,c_0_14]) ).
thf(c_0_53,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR133^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.15 % Computer : n014.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Sep 29 17:55:29 UTC 2026
% 0.09/0.15 % CPUTime :
% 0.09/0.15 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running higher-order theorem proving
% 0.09/0.21 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.p3lw7t1grv/E---3.1_2996939.p
% 0.09/0.23 % Version: 3.5.1-ho
% 0.09/0.23 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.09/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.23 % Starting new_ho_11 with 1500s (5) cores
% 0.09/0.23 % Starting sh5l with 300s (1) cores
% 0.09/0.23 % Starting new_ho_9 with 300s (1) cores
% 0.09/0.23 % Starting ho_unfolding_4 with 300s (1) cores
% 0.09/0.23 % sh5l with pid 2996954 completed with status 0
% 0.09/0.23 % Result found by sh5l
% 0.09/0.23 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.09/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.23 % Starting new_ho_11 with 1500s (5) cores
% 0.09/0.23 % Starting sh5l with 300s (1) cores
% 0.09/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.09/0.23 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.09/0.23 % Search class: HGHSF-FFSM11-SSSFFSBN
% 0.09/0.23 % partial match(1): HGHSF-FFSF11-SSSFFSBN
% 0.09/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.23 % SubtermCWHack with pid 2996959 completed with status 10
% 0.09/0.23 % Starting sh5l with 31s (1) cores
% 0.09/0.23 % sh5l with pid 2996965 completed with status 0
% 0.09/0.23 % Result found by sh5l
% 0.09/0.23 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.09/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.23 % Starting new_ho_11 with 1500s (5) cores
% 0.09/0.23 % Starting sh5l with 300s (1) cores
% 0.09/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.09/0.23 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.09/0.23 % Search class: HGHSF-FFSM11-SSSFFSBN
% 0.09/0.23 % partial match(1): HGHSF-FFSF11-SSSFFSBN
% 0.09/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.23 % SubtermCWHack with pid 2996959 completed with status 10
% 0.09/0.23 % Starting sh5l with 31s (1) cores
% 0.09/0.23 % Preprocessing time : 0.001 s
% 0.09/0.23 % Presaturation interreduction done
% 0.09/0.23
% 0.09/0.23 % Proof found!
% 0.09/0.23 % SZS status Theorem
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23 % Parsed axioms : 23
% 0.09/0.23 % Removed by relevancy pruning/SinE : 12
% 0.09/0.23 % Initial clauses : 28
% 0.09/0.23 % Removed in clause preprocessing : 3
% 0.09/0.23 % Initial clauses in saturation : 25
% 0.09/0.23 % Processed clauses : 73
% 0.09/0.23 % ...of these trivial : 2
% 0.09/0.23 % ...subsumed : 11
% 0.09/0.23 % ...remaining for further processing : 60
% 0.09/0.23 % Other redundant clauses eliminated : 1
% 0.09/0.23 % Clauses deleted for lack of memory : 0
% 0.09/0.23 % Backward-subsumed : 1
% 0.09/0.23 % Backward-rewritten : 21
% 0.09/0.23 % Generated clauses : 58
% 0.09/0.23 % ...of the previous two non-redundant : 55
% 0.09/0.23 % ...aggressively subsumed : 0
% 0.09/0.23 % Contextual simplify-reflections : 0
% 0.09/0.23 % Paramodulations : 31
% 0.09/0.23 % Factorizations : 0
% 0.09/0.23 % NegExts : 0
% 0.09/0.23 % Equation resolutions : 1
% 0.09/0.23 % Disequality decompositions : 0
% 0.09/0.23 % Total rewrite steps : 42
% 0.09/0.23 % ...of those cached : 31
% 0.09/0.23 % Propositional unsat checks : 0
% 0.09/0.23 % Propositional check models : 0
% 0.09/0.23 % Propositional check unsatisfiable : 0
% 0.09/0.23 % Propositional clauses : 0
% 0.09/0.23 % Propositional clauses after purity: 0
% 0.09/0.23 % Propositional unsat core size : 0
% 0.09/0.23 % Propositional preprocessing time : 0.000
% 0.09/0.23 % Propositional encoding time : 0.000
% 0.09/0.23 % Propositional solver time : 0.000
% 0.09/0.23 % Success case prop preproc time : 0.000
% 0.09/0.23 % Success case prop encoding time : 0.000
% 0.09/0.23 % Success case prop solver time : 0.000
% 0.09/0.23 % Current number of processed clauses : 21
% 0.09/0.23 % Positive orientable unit clauses : 9
% 0.09/0.23 % Positive unorientable unit clauses: 0
% 0.09/0.23 % Negative unit clauses : 3
% 0.09/0.23 % Non-unit-clauses : 9
% 0.09/0.23 % Current number of unprocessed clauses: 17
% 0.09/0.23 % ...number of literals in the above : 46
% 0.09/0.23 % Current number of archived formulas : 0
% 0.09/0.23 % Current number of archived clauses : 38
% 0.09/0.23 % Clause-clause subsumption calls (NU) : 78
% 0.09/0.23 % Rec. Clause-clause subsumption calls : 63
% 0.09/0.23 % Non-unit clause-clause subsumptions : 8
% 0.09/0.23 % Unit Clause-clause subsumption calls : 28
% 0.09/0.23 % Rewrite failures with RHS unbound : 0
% 0.09/0.23 % BW rewrite match attempts : 5
% 0.09/0.23 % BW rewrite match successes : 4
% 0.09/0.23 % Condensation attempts : 73
% 0.09/0.23 % Condensation successes : 0
% 0.09/0.23 % Termbank termtop insertions : 3179
% 0.09/0.23 % Search garbage collected termcells : 145
% 0.09/0.23
% 0.09/0.23 % -------------------------------------------------
% 0.09/0.23 % User time : 0.006 s
% 0.09/0.23 % System time : 0.005 s
% 0.09/0.23 % Total time : 0.011 s
% 0.09/0.23 % Maximum resident set size: 3644 pages
% 0.09/0.23
% 0.09/0.23 % -------------------------------------------------
% 0.09/0.23 % User time : 0.008 s
% 0.09/0.23 % System time : 0.009 s
% 0.09/0.23 % Total time : 0.017 s
% 0.09/0.23 % Maximum resident set size: 4608 pages
% 0.09/0.23 % E exiting
%------------------------------------------------------------------------------