TSTP Solution File: CSR119^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR119^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 21:36:33 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 108 ( 16 unt; 8 typ; 0 def)
% Number of atoms : 996 ( 360 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 919 ( 25 ~; 210 |; 3 &; 681 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 148 ( 0 ^ 144 !; 4 ?; 148 :)
% 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(1,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(2,conjecture,
? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(3,negated_conjecture,
( ( ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ~ ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [Y: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [Y: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(11,plain,
! [SV1: $i] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV1 @ lBill_THFTYPE_i ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV1 @ lBill_THFTYPE_i ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV2: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i ) )
= $false ),
inference(rename,[status(thm)],[12]) ).
thf(14,plain,
! [SV2: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
= $false ),
inference(res,[status(thm)],[13,10]) ).
thf(15,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true ) ),
inference(extuni,[status(esa)],[14]) ).
thf(16,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ) ),
inference(extuni,[status(esa)],[14]) ).
thf(17,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV2 @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(rename,[status(thm)],[23]) ).
thf(29,plain,
! [SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(fac_restr,[status(thm)],[26]) ).
thf(30,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extuni,[status(esa)],[29:[bind(SV3,$thf( lMary_THFTYPE_i ))]]) ).
thf(31,plain,
! [SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true ) ),
inference(rename,[status(thm)],[24]) ).
thf(34,plain,
! [SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true )
| ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i ) )
= $false ) ),
inference(fac_restr,[status(thm)],[31]) ).
thf(35,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(extuni,[status(esa)],[34:[bind(SV4,$thf( lSue_THFTYPE_i ))]]) ).
thf(36,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(rename,[status(thm)],[25]) ).
thf(39,plain,
! [SV5: $i,SV4: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,31]) ).
thf(40,plain,
! [SV5: $i,SV4: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,31]) ).
thf(41,plain,
! [SV5: $i,SV4: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,31]) ).
thf(42,plain,
! [SV5: $i,SV4: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,31]) ).
thf(44,plain,
! [SV5: $i,SV3: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,26]) ).
thf(46,plain,
! [SV5: $i,SV3: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,26]) ).
thf(47,plain,
! [SV5: $i,SV3: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,26]) ).
thf(48,plain,
! [SV5: $i,SV3: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true ) ),
inference(res,[status(thm)],[36,26]) ).
thf(52,plain,
! [SV5: $i,SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(53,plain,
! [SV5: $i,SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[47]) ).
thf(54,plain,
! [SV3: $i] :
( ( ( likes_THFTYPE_IiioI @ SV3 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[46:[bind(SV5,$thf( lMary_THFTYPE_i ))]]) ).
thf(56,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[44:[bind(SV3,$thf( lMary_THFTYPE_i ))]]) ).
thf(58,plain,
! [SV5: $i,SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[42]) ).
thf(59,plain,
! [SV5: $i,SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[41]) ).
thf(60,plain,
! [SV4: $i] :
( ( ( likes_THFTYPE_IiioI @ SV4 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[40:[bind(SV5,$thf( lSue_THFTYPE_i ))]]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[39:[bind(SV4,$thf( lSue_THFTYPE_i ))]]) ).
thf(64,plain,
! [SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[30,36]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[30,36]) ).
thf(66,plain,
! [SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[30,36]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[66]) ).
thf(69,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(70,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV5,$thf( lMary_THFTYPE_i ))]]) ).
thf(71,plain,
! [SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[35,36]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[35,36]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[35,36]) ).
thf(75,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[73]) ).
thf(76,plain,
! [SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[72]) ).
thf(77,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV5,$thf( lSue_THFTYPE_i ))]]) ).
thf(78,plain,
! [SV6: $i,SV7: $i] :
( ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(rename,[status(thm)],[52]) ).
thf(85,plain,
! [SV6: $i,SV7: $i,SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[78,36]) ).
thf(86,plain,
! [SV6: $i,SV7: $i,SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[78,36]) ).
thf(87,plain,
! [SV6: $i,SV7: $i,SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[78,36]) ).
thf(90,plain,
! [SV6: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[78,35]) ).
thf(93,plain,
! [SV6: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[78,30]) ).
thf(98,plain,
! [SV7: $i] :
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[93:[bind(SV6,$thf( lMary_THFTYPE_i ))]]) ).
thf(99,plain,
! [SV7: $i] :
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[90:[bind(SV6,$thf( lSue_THFTYPE_i ))]]) ).
thf(100,plain,
! [SV6: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV7,$thf( lSue_THFTYPE_i ))]]) ).
thf(101,plain,
! [SV6: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV7,$thf( lMary_THFTYPE_i ))]]) ).
thf(102,plain,
! [SV6: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV7,$thf( SV5 ))]]) ).
thf(107,plain,
! [SV6: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[100]) ).
thf(108,plain,
! [SV6: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[102]) ).
thf(109,plain,
! [SV8: $i,SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(rename,[status(thm)],[53]) ).
thf(115,plain,
! [SV8: $i,SV9: $i,SV6: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,78]) ).
thf(116,plain,
! [SV8: $i,SV9: $i,SV6: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,78]) ).
thf(117,plain,
! [SV8: $i,SV9: $i,SV6: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,78]) ).
thf(118,plain,
! [SV8: $i,SV9: $i,SV6: $i,SV7: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,78]) ).
thf(119,plain,
! [SV8: $i,SV9: $i,SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,36]) ).
thf(120,plain,
! [SV8: $i,SV9: $i,SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,36]) ).
thf(121,plain,
! [SV8: $i,SV9: $i,SV5: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,36]) ).
thf(122,plain,
! [SV8: $i,SV9: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,35]) ).
thf(123,plain,
! [SV8: $i,SV9: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,35]) ).
thf(124,plain,
! [SV8: $i,SV9: $i] :
( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,30]) ).
thf(125,plain,
! [SV8: $i,SV9: $i] :
( ( ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(res,[status(thm)],[109,30]) ).
thf(129,plain,
! [SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[125:[bind(SV8,$thf( lMary_THFTYPE_i ))]]) ).
thf(130,plain,
! [SV9: $i,SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true )
| ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[124]) ).
thf(131,plain,
! [SV9: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[123:[bind(SV8,$thf( lSue_THFTYPE_i ))]]) ).
thf(132,plain,
! [SV9: $i,SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[122]) ).
thf(133,plain,
! [SV8: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[121:[bind(SV9,$thf( lSue_THFTYPE_i ))]]) ).
thf(134,plain,
! [SV8: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[120:[bind(SV9,$thf( lMary_THFTYPE_i ))]]) ).
thf(135,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[119:[bind(SV9,$thf( SV5 ))]]) ).
thf(136,plain,
! [SV9: $i,SV6: $i] :
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[118:[bind(SV8,$thf( SV7 ))]]) ).
thf(137,plain,
! [SV9: $i,SV8: $i,SV6: $i] :
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV9 @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[117:[bind(SV7,$thf( lSue_THFTYPE_i ))]]) ).
thf(138,plain,
! [SV8: $i,SV7: $i] :
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV9,$thf( SV6 ))]]) ).
thf(139,plain,
! [SV8: $i,SV7: $i,SV6: $i] :
( ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV6 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV7 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[115:[bind(SV9,$thf( lMary_THFTYPE_i ))]]) ).
thf(144,plain,
! [SV8: $i,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[134]) ).
thf(145,plain,
! [SV8: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ( ( likes_THFTYPE_IiioI @ SV8 @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[135]) ).
thf(146,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,145,144,139,138,137,136,133,132,131,130,129,109,108,107,101,99,98,78,77,76,75,70,69,68,61,60,59,58,56,54,36,35,30,13]) ).
thf(147,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR119^1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 08:31:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 1
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (rf:0,axioms:1,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.47/0.64
% 0.47/0.64 ********************************
% 0.47/0.64 * All subproblems solved! *
% 0.47/0.64 ********************************
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:146,loop_count:10,foatp_calls:2,translation:fof_full)
% 0.47/0.66
% 0.47/0.66 %**** Beginning of derivation protocol ****
% 0.47/0.66 % SZS output start CNFRefutation
% See solution above
% 0.47/0.66
% 0.47/0.66 %**** End of derivation protocol ****
% 0.47/0.66 %**** no. of clauses in derivation: 100 ****
% 0.47/0.66 %**** clause counter: 146 ****
% 0.47/0.66
% 0.47/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:146,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------