%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR131^1 : 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 : n003.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 0.10s 0.26s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 150 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 568 ( 69 ~; 72 |; 34 &; 393 @)
% ( 0 <=>; 0 =>; 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 : 16 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 61 ( 0 ^; 52 !; 9 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_24,type,
lAnna_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(decl_34,type,
esk1_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_35,type,
esk2_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_36,type,
esk3_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_37,type,
esk4_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
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 )
& ~ ! [X4: $i,X5: $i] : ( X2 @ X4 @ X5 )
& ~ ! [X4: $i,X5: $i] : ( X1 @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BEipFw3GuE/E---3.1_2843113.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.BEipFw3GuE/E---3.1_2843113.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.BEipFw3GuE/E---3.1_2843113.p',ax_007) ).
thf(ax,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.BEipFw3GuE/E---3.1_2843113.p',ax) ).
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.BEipFw3GuE/E---3.1_2843113.p',ax_006) ).
thf(ax_009,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.BEipFw3GuE/E---3.1_2843113.p',ax_009) ).
thf(ax_002,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.BEipFw3GuE/E---3.1_2843113.p',ax_002) ).
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 )
& ~ ! [X4: $i,X5: $i] : ( X2 @ X4 @ X5 )
& ~ ! [X4: $i,X5: $i] : ( X1 @ X4 @ X5 ) ) ),
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_004]) ).
thf(c_0_9,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ~ ! [X4: $i,X5: $i] : ( X2 @ X4 @ X5 )
& ~ ! [X4: $i,X5: $i] : ( X1 @ X4 @ X5 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ~ ! [X4: $i,X5: $i] : ( X2 @ X4 @ X5 )
& ~ ! [X4: $i,X5: $i] : ( X1 @ X4 @ X5 ) )
| ( 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_007]) ).
thf(c_0_12,negated_conjecture,
! [X9: $i > $i > $o,X10: $i > $i > $o,X11: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( ( ~ ( X10 @ X11 @ lBill_THFTYPE_i )
| ~ ( X9 @ X11 @ lAnna_THFTYPE_i )
| ( X10 @ X16 @ X17 )
| ( X9 @ X18 @ X19 )
| ( X10 @ X11 @ lBill_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X10 @ X11 @ lBill_THFTYPE_i ) )
& ( ~ ( X10 @ X11 @ lBill_THFTYPE_i )
| ~ ( X9 @ X11 @ lAnna_THFTYPE_i )
| ( X10 @ X16 @ X17 )
| ( X9 @ X18 @ X19 )
| ( X9 @ X11 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X9 @ X11 @ lAnna_THFTYPE_i ) )
& ( ~ ( X10 @ X11 @ lBill_THFTYPE_i )
| ~ ( X9 @ X11 @ lAnna_THFTYPE_i )
| ( X10 @ X16 @ X17 )
| ( X9 @ X18 @ X19 )
| ~ ( X10 @ ( esk1_3 @ X9 @ X10 @ X11 ) @ ( esk2_3 @ X9 @ X10 @ X11 ) ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X10 @ ( esk1_3 @ X9 @ X10 @ X11 ) @ ( esk2_3 @ X9 @ X10 @ X11 ) ) )
& ( ~ ( X10 @ X11 @ lBill_THFTYPE_i )
| ~ ( X9 @ X11 @ lAnna_THFTYPE_i )
| ( X10 @ X16 @ X17 )
| ( X9 @ X18 @ X19 )
| ~ ( X9 @ ( esk3_3 @ X9 @ X10 @ X11 ) @ ( esk4_3 @ X9 @ X10 @ X11 ) ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X9 @ ( esk3_3 @ X9 @ X10 @ X11 ) @ ( esk4_3 @ X9 @ X10 @ X11 ) ) )
& ( ~ ( X10 @ X11 @ lBill_THFTYPE_i )
| ~ ( X9 @ X11 @ lAnna_THFTYPE_i )
| ( X10 @ X16 @ X17 )
| ( X9 @ X18 @ X19 )
| ~ ( 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,
! [X1: $i > $i > $o,X3: $i] :
( ( X1 @ X3 @ 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,axiom,
( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax]) ).
thf(c_0_19,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_20,negated_conjecture,
! [X1: $i > $i > $o,X3: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( X1 @ X3 @ lAnna_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
thf(c_0_22,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_12]) ).
thf(c_0_23,negated_conjecture,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_24,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_25,negated_conjecture,
! [X11: $i,X1: $i > $i > $o,X2: $i > $i > $o,X8: $i,X5: $i,X4: $i,X3: $i] :
( ( X1 @ X4 @ X5 )
| ( X2 @ X8 @ X11 )
| ~ ( 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_12]) ).
thf(c_0_26,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_27,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
thf(c_0_28,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_24]) ).
thf(c_0_29,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_009])]) ).
thf(c_0_30,negated_conjecture,
! [X4: $i,X3: $i,X8: $i,X5: $i,X2: $i > $i > $o,X1: $i > $i > $o,X11: $i] :
( ( X1 @ X3 @ X4 )
| ( X2 @ X5 @ X8 )
| ~ ( X2 @ X11 @ lAnna_THFTYPE_i )
| ~ ( X1 @ X11 @ lBill_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_23])]) ).
thf(c_0_31,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_32,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_28]) ).
thf(c_0_33,plain,
( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_002])]) ).
thf(c_0_34,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_29]) ).
thf(c_0_35,negated_conjecture,
! [X4: $i,X3: $i,X8: $i,X5: $i,X1: $i > $i > $o] :
( ( parent_THFTYPE_IiioI @ X3 @ X4 )
| ( X1 @ X5 @ X8 )
| ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_36,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_32,c_0_27]) ).
thf(c_0_37,plain,
( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_33]) ).
thf(c_0_38,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_34]) ).
thf(c_0_39,negated_conjecture,
! [X3: $i,X4: $i,X5: $i,X8: $i] :
( ( likes_THFTYPE_IiioI @ X3 @ X4 )
| ( parent_THFTYPE_IiioI @ X5 @ X8 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_40,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_41,negated_conjecture,
! [X3: $i,X4: $i] : ( parent_THFTYPE_IiioI @ X3 @ X4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_27]) ).
thf(c_0_42,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR131^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n003.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 17:57:29 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.23 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.BEipFw3GuE/E---3.1_2843113.p
% 0.10/0.26 % Version: 3.5.1-ho
% 0.10/0.26 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.10/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting new_ho_11 with 1500s (5) cores
% 0.10/0.26 % Starting sh5l with 300s (1) cores
% 0.10/0.26 % Starting new_ho_9 with 300s (1) cores
% 0.10/0.26 % Starting ho_unfolding_4 with 300s (1) cores
% 0.10/0.26 % sh5l with pid 2843145 completed with status 0
% 0.10/0.26 % Result found by sh5l
% 0.10/0.26 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.10/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting new_ho_11 with 1500s (5) cores
% 0.10/0.26 % Starting sh5l with 300s (1) cores
% 0.10/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.26 % Search class: HGHNF-FFMM32-SSSFFSBN
% 0.10/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.26 % SubtermCWHack with pid 2843154 completed with status 0
% 0.10/0.26 % Result found by SubtermCWHack
% 0.10/0.26 % Preprocessing class: HSMSSMSSSSSNSSN.
% 0.10/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting new_ho_11 with 1500s (5) cores
% 0.10/0.26 % Starting sh5l with 300s (1) cores
% 0.10/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.26 % Search class: HGHNF-FFMM32-SSSFFSBN
% 0.10/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.26 % Preprocessing time : 0.002 s
% 0.10/0.26
% 0.10/0.26 % Proof found!
% 0.10/0.26 % SZS status Theorem
% 0.10/0.26 % SZS output start CNFRefutation
% See solution above
% 0.10/0.26 % Parsed axioms : 23
% 0.10/0.26 % Removed by relevancy pruning/SinE : 12
% 0.10/0.26 % Initial clauses : 30
% 0.10/0.26 % Removed in clause preprocessing : 2
% 0.10/0.26 % Initial clauses in saturation : 28
% 0.10/0.26 % Processed clauses : 38
% 0.10/0.26 % ...of these trivial : 0
% 0.10/0.26 % ...subsumed : 0
% 0.10/0.26 % ...remaining for further processing : 38
% 0.10/0.26 % Other redundant clauses eliminated : 0
% 0.10/0.26 % Clauses deleted for lack of memory : 0
% 0.10/0.26 % Backward-subsumed : 5
% 0.10/0.26 % Backward-rewritten : 18
% 0.10/0.26 % Generated clauses : 31
% 0.10/0.26 % ...of the previous two non-redundant : 30
% 0.10/0.26 % ...aggressively subsumed : 0
% 0.10/0.26 % Contextual simplify-reflections : 0
% 0.10/0.26 % Paramodulations : 24
% 0.10/0.26 % Factorizations : 0
% 0.10/0.26 % NegExts : 0
% 0.10/0.26 % Equation resolutions : 0
% 0.10/0.26 % Disequality decompositions : 0
% 0.10/0.26 % Total rewrite steps : 14
% 0.10/0.26 % ...of those cached : 5
% 0.10/0.26 % Propositional unsat checks : 0
% 0.10/0.26 % Propositional check models : 0
% 0.10/0.26 % Propositional check unsatisfiable : 0
% 0.10/0.26 % Propositional clauses : 0
% 0.10/0.26 % Propositional clauses after purity: 0
% 0.10/0.26 % Propositional unsat core size : 0
% 0.10/0.26 % Propositional preprocessing time : 0.000
% 0.10/0.26 % Propositional encoding time : 0.000
% 0.10/0.26 % Propositional solver time : 0.000
% 0.10/0.26 % Success case prop preproc time : 0.000
% 0.10/0.26 % Success case prop encoding time : 0.000
% 0.10/0.26 % Success case prop solver time : 0.000
% 0.10/0.26 % Current number of processed clauses : 8
% 0.10/0.26 % Positive orientable unit clauses : 5
% 0.10/0.26 % Positive unorientable unit clauses: 0
% 0.10/0.26 % Negative unit clauses : 1
% 0.10/0.26 % Non-unit-clauses : 2
% 0.10/0.26 % Current number of unprocessed clauses: 8
% 0.10/0.26 % ...number of literals in the above : 28
% 0.10/0.26 % Current number of archived formulas : 0
% 0.10/0.26 % Current number of archived clauses : 30
% 0.10/0.26 % Clause-clause subsumption calls (NU) : 91
% 0.10/0.26 % Rec. Clause-clause subsumption calls : 84
% 0.10/0.26 % Non-unit clause-clause subsumptions : 1
% 0.10/0.26 % Unit Clause-clause subsumption calls : 20
% 0.10/0.26 % Rewrite failures with RHS unbound : 0
% 0.10/0.26 % BW rewrite match attempts : 9
% 0.10/0.26 % BW rewrite match successes : 9
% 0.10/0.26 % Condensation attempts : 0
% 0.10/0.26 % Condensation successes : 0
% 0.10/0.26 % Termbank termtop insertions : 2240
% 0.10/0.26 % Search garbage collected termcells : 212
% 0.10/0.26
% 0.10/0.26 % -------------------------------------------------
% 0.10/0.26 % User time : 0.012 s
% 0.10/0.26 % System time : 0.001 s
% 0.10/0.26 % Total time : 0.013 s
% 0.10/0.26 % Maximum resident set size: 3900 pages
% 0.10/0.26
% 0.10/0.26 % -------------------------------------------------
% 0.10/0.26 % User time : 0.012 s
% 0.10/0.26 % System time : 0.008 s
% 0.10/0.26 % Total time : 0.020 s
% 0.10/0.26 % Maximum resident set size: 4864 pages
% 0.10/0.26 % E exiting
%------------------------------------------------------------------------------