%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR148^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 Oct 7 10:16:16 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 69 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 388 ( 130 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 420 ( 48 ~; 73 |; 0 &; 294 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 116 ( 0 ^; 108 !; 8 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i > $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i > $i ).
thf(1,axiom,
! [P: $o,Y: $i] :
( P
=> ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(2,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [X: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(4,conjecture,
? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(5,negated_conjecture,
( ( ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [P: $o,Y: $i] :
( P
=> ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [X: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [X: $i,Y: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [P: $o] :
( ~ P
| ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(14,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [X: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [P: $o] :
( ~ P
| ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $o] :
( ( ~ SV1
| ! [SY5: $i] : ( holdsDuring_THFTYPE_IiooI @ SY5 @ SV1 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ $true
| ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV2: $i] :
( ( ! [SY6: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SY6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $true )
| ( ( ! [SY5: $i] : ( holdsDuring_THFTYPE_IiooI @ SY5 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(25,plain,
! [SV2: $i,SV3: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV3 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ! [SY5: $i] : ( holdsDuring_THFTYPE_IiooI @ SY5 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( $true = $false )
| ( ( ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV2: $i,SV3: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV3 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 )
= $true )
| ( SV1 = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV5: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= $true )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV1,$thf( $true ))]]) ).
thf(35,plain,
! [SV7: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV7 )
= $true )
| ( ( ~ SV7 ) = $false ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV1,$thf( ~ ( SV7 ) ))]]) ).
thf(36,plain,
! [SV1: $o,SV4: $i] :
( ( SV1 = $false )
| ( ( SV1
= ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[30]) ).
thf(37,plain,
! [SV4: $i,SV1: $o] :
( ( ( ~ ( SV1
| ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) )
| ~ ( ~ SV1
| ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $false )
| ( SV1 = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV4: $i,SV1: $o] :
( ( ( ~ ( ~ SV1
| ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) ) )
= $false )
| ( SV1 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV4: $i,SV1: $o] :
( ( ( ~ SV1
| ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) )
= $true )
| ( SV1 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV4: $i,SV1: $o] :
( ( ( ~ SV1 ) = $true )
| ( ( ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) )
= $true )
| ( SV1 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV4: $i,SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) )
= $true )
| ( SV1 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV1: $o,SV4: $i] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 ) )
= $false )
| ( SV1 = $false )
| ( SV1 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV1: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 )
= $true )
| ( SV1 = $false )
| ( SV1 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(49,plain,
! [SV4: $i,SV7: $o] :
( ( SV7 = $true )
| ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(50,plain,
! [SV5: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ),
inference(sim,[status(thm)],[31]) ).
thf(51,plain,
! [SV1: $o,SV4: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV1 )
= $true )
| ( SV1 = $false ) ),
inference(sim,[status(thm)],[48]) ).
thf(52,plain,
! [SV5: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
= $true ),
inference(sim,[status(thm)],[31]) ).
thf(53,plain,
! [SV4: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
= $true ),
inference(sim,[status(thm)],[33]) ).
thf(54,plain,
! [SV8: $i,SV9: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV9 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 ) )
= $false ),
inference(rename,[status(thm)],[29]) ).
thf(55,plain,
! [SV8: $i,SV9: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV9 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ) )
= $false ),
inference(res,[status(thm)],[54,17]) ).
thf(57,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[55:[bind(SV9,$thf( n2009_THFTYPE_i ))]]) ).
thf(58,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[55:[bind(SV9,$thf( n2009_THFTYPE_i ))]]) ).
thf(59,plain,
! [SV9: $i,SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $true )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[55]) ).
thf(60,plain,
! [SV9: $i,SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
= $false )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[55]) ).
thf(61,plain,
! [SV8: $i,SV9: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV9 @ SV8 ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV9 @ SV8 ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(62,plain,
! [SV9: $i,SV8: $i,SV10: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV10 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV8: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV8 ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV8 ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(64,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV11 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV8: $i,SV9: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV9 @ SV8 ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(66,plain,
! [SV8: $i,SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV9 @ SV8 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(67,plain,
! [SV9: $i,SV8: $i,SV10: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV10 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV8: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV8 ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV8 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(70,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV11 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV8: $i,SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV9 @ SV8 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(72,plain,
! [SV9: $i,SV8: $i,SV10: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV10 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV10 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true )
| ( ( ( lYearFn_THFTYPE_IiiI @ SV9 )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV8 ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV8: $i,SV11: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV11 )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV12: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
= $true ),
inference(rename,[status(thm)],[50]) ).
thf(76,plain,
! [SV12: $i,SV8: $i,SV9: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV9 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 ) ) )
= $false ),
inference(res,[status(thm)],[75,54]) ).
thf(78,plain,
! [SV8: $i] :
( ( $true = $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[76:[bind(SV12,$thf( lYearFn_THFTYPE_IiiI @ SV9 ))]]) ).
thf(79,plain,
! [SV8: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
= $false ),
inference(sim,[status(thm)],[78]) ).
thf(80,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,79,75,74,73,72,71,69,66,54,53,52,51,49,30,17]) ).
thf(81,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR148^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.16 % Computer : n020.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Oct 6 18:56:36 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.25
% 0.10/0.25 No.of.Axioms: 3
% 0.10/0.25
% 0.10/0.25 Length.of.Defs: 0
% 0.10/0.25
% 0.10/0.25 Contains.Choice.Funs: false
% 0.10/0.25 .
% 0.10/0.25
% 0.10/0.25 ********************************
% 0.10/0.25 * All subproblems solved! *
% 0.10/0.25 ********************************
% 0.10/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:80,loop_count:5,foatp_calls:3,translation:fof_full)
% 0.10/0.25
% 0.10/0.25 %**** Beginning of derivation protocol ****
% 0.10/0.25 % SZS output start CNFRefutation
% See solution above
% 0.10/0.25
% 0.10/0.25 %**** End of derivation protocol ****
% 0.10/0.25 %**** no. of clauses in derivation: 69 ****
% 0.10/0.25 %**** clause counter: 80 ****
% 0.10/0.25
% 0.10/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:80,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------