%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR133^2 : 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 : n009.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 37.48s 10.44s
% Output : Refutation 37.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 236 ( 61 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 460 ( 91 ~; 21 |; 18 &; 330 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 123 ( 88 ^; 26 !; 9 ?; 123 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IIiioIioI_decl,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(instance_THFTYPE_IiioI_decl,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBinaryPredicate_THFTYPE_i_decl,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lMeasureFn_THFTYPE_i_decl,type,
lMeasureFn_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lTotalValuedRelation_THFTYPE_i_decl,type,
lTotalValuedRelation_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(subclass_THFTYPE_IiioI_decl,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(52,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).
thf(149,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(3,axiom,
instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_058) ).
thf(80,plain,
instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_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(78,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(79,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)],[78]) ).
thf(200,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 ) ) )
| ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[80,79]) ).
thf(201,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 ) ) )
| ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[200]) ).
thf(211,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBinaryPredicate_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ B ) )
!= A ) ) ),
inference(pre_uni,[status(thm)],[201:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ D ) )),bind(C,$thf( lBinaryPredicate_THFTYPE_i ))]]) ).
thf(255,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ B ) )
!= A ) ) )
| ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( A @ lBinaryPredicate_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[80,211]) ).
thf(256,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ B ) )
!= A ) )
| ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( A @ lBinaryPredicate_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[255]) ).
thf(264,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) ) ) ),
inference(pre_uni,[status(thm)],[256:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ B ) ))]]) ).
thf(269,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[264]) ).
thf(1943,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[149,269]) ).
thf(1944,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1943]) ).
thf(1986,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1944]) ).
thf(1989,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(cnf,[status(esa)],[1986]) ).
thf(1990,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(simp,[status(thm)],[1989]) ).
thf(56,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_023) ).
thf(153,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)],[56]) ).
thf(1196,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)],[153,269]) ).
thf(1197,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)],[1196]) ).
thf(1256,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)],[1197]) ).
thf(1278,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[1256]) ).
thf(1299,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[153,1278]) ).
thf(62,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_010) ).
thf(160,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)],[62]) ).
thf(1743,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)],[160,269]) ).
thf(1744,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)],[1743]) ).
thf(1775,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)],[1744]) ).
thf(1788,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[1775]) ).
thf(210,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ( ( ^ [C: $i,D: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
!= A ) ) ),
inference(pre_uni,[status(thm)],[201:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )),bind(C,$thf( C ))]]) ).
thf(234,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ( ( ^ [C: $i,D: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
!= A ) ) ),
inference(simp,[status(thm)],[210]) ).
thf(11,axiom,
instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_067) ).
thf(94,plain,
instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(259,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ B ) )
!= A ) ) )
| ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
!= ( A @ lBinaryPredicate_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[94,211]) ).
thf(260,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ B ) )
!= A ) )
| ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
!= ( A @ lBinaryPredicate_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[259]) ).
thf(261,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) ) ) ),
inference(pre_uni,[status(thm)],[260:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) ))]]) ).
thf(478,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[261,94]) ).
thf(1220,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 )
@ ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[153,478]) ).
thf(1221,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 )
@ ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[1220]) ).
thf(1254,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[1221]) ).
thf(1276,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[1254]) ).
thf(1302,plain,
~ ( ( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[1276,1278]) ).
thf(1303,plain,
( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[1302]) ).
thf(1313,plain,
( ( ^ [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(lifteq,[status(thm)],[1303]) ).
thf(1340,plain,
! [A: $i] : ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ A ),
inference(func_ext,[status(esa)],[1313]) ).
thf(4042,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ( ( ^ [C: $i,D: $i] : $true )
!= A ) ) ),
inference(rewrite,[status(thm)],[234,1340]) ).
thf(4054,plain,
! [B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [C: $i,D: $i] : $true )
!= A ) ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1788,4042]) ).
thf(4055,plain,
! [B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [C: $i,D: $i] : $true )
!= A ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4054]) ).
thf(4205,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ) ) ),
inference(pre_uni,[status(thm)],[4055:[bind(A,$thf( ^ [C: $i] : ^ [D: $i] : ( parent_THFTYPE_IiioI @ C @ lAnna_THFTYPE_i ) )),bind(B,$thf( lSue_THFTYPE_i ))]]) ).
thf(5225,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[1299,4205]) ).
thf(5226,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(simp,[status(thm)],[5225]) ).
thf(5227,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ) ) ) ),
inference(simp,[status(thm)],[5226]) ).
thf(5228,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [A: $i,B: $i] : $true )
= ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ) ) ),
inference(cnf,[status(esa)],[5227]) ).
thf(5229,plain,
( ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[5228]) ).
thf(5230,plain,
( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[5229]) ).
thf(5234,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ),
inference(func_ext,[status(esa)],[5230]) ).
thf(5246,plain,
~ $true,
inference(rewrite,[status(thm)],[1990,5234]) ).
thf(5247,plain,
$false,
inference(simp,[status(thm)],[5246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR133^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % 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
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:55:45 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.98/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.40/1.10 % [INFO] Parsing done (266ms).
% 1.40/1.11 % [INFO] Running in sequential loop mode.
% 2.27/1.49 % [INFO] eprover registered as external prover.
% 2.27/1.50 % [INFO] Scanning for conjecture ...
% 2.62/1.61 % [INFO] Found a conjecture (or negated_conjecture) and 79 axioms. Running axiom selection ...
% 2.83/1.71 % [INFO] Axiom selection finished. Selected 75 axioms (removed 4 axioms).
% 2.83/1.76 % [INFO] Problem is higher-order (TPTP THF).
% 2.83/1.77 % [INFO] Type checking passed.
% 2.83/1.77 % [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 ...
% 37.48/10.44 % [INFO] Killing All external provers ...
% 37.48/10.44 % Time passed: 10086ms (effective reasoning time: 9323ms)
% 37.48/10.44 % 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)>
% 37.48/10.44 % Axioms used in derivation (5): ax_058, ax_023, ax_067, ax_010, ax_019
% 37.48/10.44 % No. of inferences in proof: 62
% 37.48/10.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 10086 ms resp. 9323 ms w/o parsing
% 37.98/10.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.98/10.50 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------