%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR133^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n019.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 07:46:56 AM UTC 2026
% Result : Theorem 18.67s 5.07s
% Output : Refutation 18.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 7
% Syntax : Number of formulae : 118 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 506 ( 131 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 990 ( 165 ~; 49 |; 29 &; 747 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 266 ( 192 ^; 65 !; 9 ?; 266 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_decl,type,
lBen_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(12,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009) ).
thf(24,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(15,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) ),
inference(cnf,[status(esa)],[13]) ).
thf(43,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,14]) ).
thf(44,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[43]) ).
thf(54,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
!= A ) ) ),
inference(pre_uni,[status(thm)],[44:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(538,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
!= A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,54]) ).
thf(539,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
!= A ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[538]) ).
thf(555,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ) ) ),
inference(pre_uni,[status(thm)],[539:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ))]]) ).
thf(593,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[555]) ).
thf(597,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[24,593]) ).
thf(598,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[597]) ).
thf(620,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[598]) ).
thf(634,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(cnf,[status(esa)],[620]) ).
thf(635,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(simp,[status(thm)],[634]) ).
thf(615,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[15,593]) ).
thf(616,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[615]) ).
thf(624,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[616]) ).
thf(627,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[624]) ).
thf(641,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[15,627]) ).
thf(10,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).
thf(22,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(603,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[22,593]) ).
thf(604,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[603]) ).
thf(623,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[604]) ).
thf(639,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[623]) ).
thf(7,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(19,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[19,14]) ).
thf(38,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[37]) ).
thf(63,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= A ) ) ),
inference(pre_uni,[status(thm)],[38:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(613,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[19,593]) ).
thf(614,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[613]) ).
thf(617,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[614]) ).
thf(631,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[617]) ).
thf(1053,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= A ) ) ),
inference(rewrite,[status(thm)],[63,631]) ).
thf(1068,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= A ) ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[639,1053]) ).
thf(1069,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= A ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1068]) ).
thf(1078,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ) ),
inference(pre_uni,[status(thm)],[1069:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(1160,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[641,1078]) ).
thf(1161,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(simp,[status(thm)],[1160]) ).
thf(1163,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ) ) ),
inference(simp,[status(thm)],[1161]) ).
thf(1165,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ) ),
inference(cnf,[status(esa)],[1163]) ).
thf(1166,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[1165]) ).
thf(1167,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1166]) ).
thf(1169,plain,
! [A: $i] :
( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i ) ),
inference(func_ext,[status(esa)],[1167]) ).
thf(1195,plain,
! [A: $i] :
( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[641,1169]) ).
thf(1196,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i )
= ( ^ [A: $i] : $true ) ),
inference(pattern_uni,[status(thm)],[1195:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(1203,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(rewrite,[status(thm)],[1167,1196]) ).
thf(1218,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(func_ext,[status(esa)],[1203]) ).
thf(6,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(18,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(605,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[18,593]) ).
thf(606,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[605]) ).
thf(618,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[606]) ).
thf(632,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[618]) ).
thf(4,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(16,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(33,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& $true
& ( B != A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,14]) ).
thf(34,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( B != A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[33]) ).
thf(71,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ) ) ) ),
inference(pre_uni,[status(thm)],[34:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )),bind(B,$thf( B )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(87,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ) ) ) ),
inference(simp,[status(thm)],[71]) ).
thf(1204,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(func_ext,[status(esa)],[1196]) ).
thf(1770,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) ) ) ) ),
inference(rewrite,[status(thm)],[87,1204]) ).
thf(1779,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[632,1770]) ).
thf(1780,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( A
!= ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1779]) ).
thf(1794,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ) ) ),
inference(pre_uni,[status(thm)],[1780:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(64,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= A ) ) ),
inference(pre_uni,[status(thm)],[38:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ E ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(123,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= A ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,64]) ).
thf(124,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= A ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(131,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ) ),
inference(pre_uni,[status(thm)],[124:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) ))]]) ).
thf(178,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,131]) ).
thf(179,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ) ) ),
inference(simp,[status(thm)],[178]) ).
thf(182,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ) ) ),
inference(simp,[status(thm)],[179]) ).
thf(187,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ) ),
inference(simp,[status(thm)],[182]) ).
thf(749,plain,
~ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ) ),
inference(rewrite,[status(thm)],[187,631]) ).
thf(750,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) ) ),
inference(simp,[status(thm)],[749]) ).
thf(762,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) ) ),
inference(lifteq,[status(thm)],[750]) ).
thf(1222,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[762,1203]) ).
thf(1225,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : A )
!= ( ^ [A: $i,B: $i] : A ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[1222]) ).
thf(1231,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[1225]) ).
thf(1066,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= A ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[627,1053]) ).
thf(1067,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= A ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1066]) ).
thf(1082,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(pre_uni,[status(thm)],[1067:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(1376,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(rewrite,[status(thm)],[1082,1218]) ).
thf(1377,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1218,1376]) ).
thf(1378,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ) ),
inference(simp,[status(thm)],[1377]) ).
thf(1379,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ) ),
inference(simp,[status(thm)],[1378]) ).
thf(1380,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : $true )
= ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(cnf,[status(esa)],[1379]) ).
thf(1381,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[1380]) ).
thf(1382,plain,
( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[1381]) ).
thf(1386,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
inference(func_ext,[status(esa)],[1382]) ).
thf(1387,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
inference(simp,[status(thm)],[1386]) ).
thf(1393,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ) ),
inference(rewrite,[status(thm)],[762,1387]) ).
thf(1452,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(rewrite,[status(thm)],[1393,1218]) ).
thf(1455,plain,
! [B: $i,A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ),
inference(func_ext,[status(esa)],[1452]) ).
thf(1465,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[1455,593]) ).
thf(1466,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1465]) ).
thf(1483,plain,
! [B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[1466]) ).
thf(1493,plain,
! [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ),
inference(simp,[status(thm)],[1483]) ).
thf(1669,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[1231,1493,1387]) ).
thf(1670,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[1669]) ).
thf(1858,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[1794,1670]) ).
thf(1859,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1218,1858]) ).
thf(1860,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[1859]) ).
thf(1861,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[1860]) ).
thf(1862,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[1861]) ).
thf(1863,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[1862]) ).
thf(1864,plain,
( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[1863]) ).
thf(1868,plain,
! [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(func_ext,[status(esa)],[1864]) ).
thf(1869,plain,
! [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[1868]) ).
thf(1877,plain,
~ $true,
inference(rewrite,[status(thm)],[635,1869]) ).
thf(1878,plain,
$false,
inference(simp,[status(thm)],[1877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR133^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.12/0.19 % Computer : n019.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 17:55:47 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.89/0.77 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.98 % [INFO] Parsing done (206ms).
% 1.25/0.99 % [INFO] Running in sequential loop mode.
% 1.94/1.38 % [INFO] eprover registered as external prover.
% 1.94/1.39 % [INFO] Scanning for conjecture ...
% 2.16/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 2.34/1.53 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 2.34/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.34/1.55 % [INFO] Type checking passed.
% 2.34/1.55 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 18.67/5.06 % [INFO] Killing All external provers ...
% 18.67/5.07 % Time passed: 4737ms (effective reasoning time: 4064ms)
% 18.67/5.07 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 18.67/5.07 % Axioms used in derivation (6): ax_007, ax_003, ax_001, ax_009, ax, ax_004
% 18.67/5.07 % No. of inferences in proof: 118
% 18.67/5.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4737 ms resp. 4064 ms w/o parsing
% 18.67/5.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.67/5.11 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------