%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR122^2 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:54 AM UTC 2026
% Result : Theorem 10.85s 3.75s
% Output : Refutation 11.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 44
% Syntax : Number of formulae : 118 ( 50 unt; 0 typ; 1 def)
% Number of atoms : 266 ( 70 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 576 ( 75 ~; 60 |; 12 &; 417 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 17 con; 0-3 aty)
% Number of variables : 84 ( 2 ^; 79 !; 2 ?; 84 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(domain_THFTYPE_IIIiioIIiioIoIiioI_decl,type,
domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(domain_THFTYPE_IIiiIiioI_decl,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(domain_THFTYPE_IIiioIiioI_decl,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IIiiIioI_decl,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(instance_THFTYPE_IIiioIioI_decl,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(instance_THFTYPE_IIiooIioI_decl,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(instance_THFTYPE_IiioI_decl,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lAsymmetricRelation_THFTYPE_i_decl,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(lBeginFn_THFTYPE_IiiI_decl,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBinaryPredicate_THFTYPE_i_decl,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(lCardinalityFn_THFTYPE_IiiI_decl,type,
lCardinalityFn_THFTYPE_IiiI: $i > $i ).
thf(lEndFn_THFTYPE_IiiI_decl,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(lEntity_THFTYPE_i_decl,type,
lEntity_THFTYPE_i: $i ).
thf(lInteger_THFTYPE_i_decl,type,
lInteger_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lTemporalRelation_THFTYPE_i_decl,type,
lTemporalRelation_THFTYPE_i: $i ).
thf(lTimeInterval_THFTYPE_i_decl,type,
lTimeInterval_THFTYPE_i: $i ).
thf(lUnaryFunction_THFTYPE_i_decl,type,
lUnaryFunction_THFTYPE_i: $i ).
thf(lWhenFn_THFTYPE_IiiI_decl,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(lYearFn_THFTYPE_i_decl,type,
lYearFn_THFTYPE_i: $i ).
thf(lYear_THFTYPE_i_decl,type,
lYear_THFTYPE_i: $i ).
thf(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(meetsTemporally_THFTYPE_IiioI_decl,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(minus_THFTYPE_IiiiI_decl,type,
minus_THFTYPE_IiiiI: $i > $i > $i ).
thf(n1_THFTYPE_i_decl,type,
n1_THFTYPE_i: $i ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(rangeSubclass_THFTYPE_IiioI_decl,type,
rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).
thf(relatedInternalConcept_THFTYPE_IIiioIIiioIoI_decl,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(relatedInternalConcept_THFTYPE_IiIiiIoI_decl,type,
relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).
thf(temporalPart_THFTYPE_IiioI_decl,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ) ) ) ).
thf(42,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).
thf(106,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(15,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_062) ).
thf(70,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,conjecture,
( 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',con) ).
thf(2,negated_conjecture,
~ ( 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 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(45,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 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(59,plain,
! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,axiom,
rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_058) ).
thf(80,plain,
rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(37,axiom,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_087) ).
thf(95,plain,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(17,axiom,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_140) ).
thf(72,plain,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(30,axiom,
domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_181) ).
thf(87,plain,
domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(35,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).
thf(93,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(147,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(rewrite,[status(thm)],[45,93]) ).
thf(148,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[147]) ).
thf(38,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_049) ).
thf(96,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(158,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
inference(rewrite,[status(thm)],[148,96]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
= ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025) ).
thf(51,plain,
! [A: $i,B: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
= ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( ( ( lBeginFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) )
& ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lEndFn_THFTYPE_IiiI @ B ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_045) ).
thf(67,plain,
! [A: $i,B: $i] :
( ( ( ( lBeginFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) )
& ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lEndFn_THFTYPE_IiiI @ B ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( ( lBeginFn_THFTYPE_IiiI @ A )
!= ( lBeginFn_THFTYPE_IiiI @ B ) )
| ( ( lEndFn_THFTYPE_IiiI @ A )
!= ( lEndFn_THFTYPE_IiiI @ B ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[67]) ).
thf(69,plain,
! [B: $i,A: $i] :
( ( ( lBeginFn_THFTYPE_IiiI @ A )
!= ( lBeginFn_THFTYPE_IiiI @ B ) )
| ( ( lEndFn_THFTYPE_IiiI @ A )
!= ( lEndFn_THFTYPE_IiiI @ B ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[68]) ).
thf(31,axiom,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_148) ).
thf(88,plain,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(7,axiom,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_113) ).
thf(56,plain,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_028) ).
thf(54,plain,
? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(55,plain,
instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i,
inference(cnf,[status(esa)],[54]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
& ( ( minus_THFTYPE_IiiiI @ A @ B )
= n1_THFTYPE_i ) )
=> ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_038) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
& ( ( minus_THFTYPE_IiiiI @ A @ B )
= n1_THFTYPE_i ) )
=> ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(83,plain,
! [B: $i,A: $i] :
( ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
inference(cnf,[status(esa)],[82]) ).
thf(84,plain,
! [B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
inference(lifteq,[status(thm)],[83]) ).
thf(120,plain,
! [B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ~ $true
| ( meetsTemporally_THFTYPE_IiioI @ B @ A )
| ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
!= ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[55,84]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ( meetsTemporally_THFTYPE_IiioI @ B @ A )
| ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
!= ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[120]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ B @ A )
| ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ( sk1 != A )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(simp,[status(thm)],[121]) ).
thf(125,plain,
! [A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ A @ sk1 )
| ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(simp,[status(thm)],[123]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
= ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
inference(cnf,[status(esa)],[51]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
= ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
inference(lifteq,[status(thm)],[52]) ).
thf(141,plain,
! [A: $i] :
( ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
| ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(rewrite,[status(thm)],[125,53]) ).
thf(142,plain,
! [A: $i] :
( ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
| ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(lifteq,[status(thm)],[141]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( A = B )
=> ! [C: $i] :
( ( instance_THFTYPE_IiioI @ C @ A )
= ( instance_THFTYPE_IiioI @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_036) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( A = B )
=> ! [C: $i] :
( ( instance_THFTYPE_IiioI @ C @ A )
= ( instance_THFTYPE_IiioI @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_144) ).
thf(57,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,axiom,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_150) ).
thf(78,plain,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( instance_THFTYPE_IiioI @ B @ C )
= ( instance_THFTYPE_IiioI @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_040) ).
thf(61,plain,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( instance_THFTYPE_IiioI @ B @ C )
= ( instance_THFTYPE_IiioI @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,axiom,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_089) ).
thf(74,plain,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(32,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_117) ).
thf(89,plain,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( ( lEndFn_THFTYPE_IiiI @ B )
= ( lBeginFn_THFTYPE_IiiI @ A ) ) ),
inference(rewrite,[status(thm)],[84,53]) ).
thf(133,plain,
! [B: $i,A: $i] :
( ( ( lEndFn_THFTYPE_IiiI @ B )
= ( lBeginFn_THFTYPE_IiiI @ A ) )
| ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ),
inference(lifteq,[status(thm)],[126]) ).
thf(60,plain,
! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
inference(cnf,[status(esa)],[59]) ).
thf(28,axiom,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_093) ).
thf(85,plain,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(34,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_176) ).
thf(92,plain,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(12,axiom,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_191) ).
thf(65,plain,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(39,axiom,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_129) ).
thf(97,plain,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(16,axiom,
domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_073) ).
thf(71,plain,
domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(169,plain,
( domain_THFTYPE_IIiioIiioI
@ ^ [A: $i,B: $i] :
( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) )
@ n1_THFTYPE_i
@ lTimeInterval_THFTYPE_i ),
inference(rewrite,[status(thm)],[71,53]) ).
thf(44,axiom,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_021) ).
thf(108,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(109,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(cnf,[status(esa)],[108]) ).
thf(22,axiom,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_133) ).
thf(77,plain,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(18,axiom,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_110) ).
thf(73,plain,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(41,axiom,
domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_122) ).
thf(105,plain,
domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(29,axiom,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_190) ).
thf(86,plain,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(26,axiom,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_131) ).
thf(81,plain,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,axiom,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_119) ).
thf(76,plain,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(40,axiom,
! [A: $o,B: $i,C: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ C @ A )
& ( temporalPart_THFTYPE_IiioI @ B @ C ) )
=> ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).
thf(98,plain,
! [A: $o,B: $i,C: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ C @ A )
& ( temporalPart_THFTYPE_IiioI @ B @ C ) )
=> ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(13,axiom,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_128) ).
thf(66,plain,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_116) ).
thf(50,plain,
domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
domain_THFTYPE_IIIiioIIiioIoIiioI @ relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_152) ).
thf(75,plain,
domain_THFTYPE_IIIiioIIiioIoIiioI @ relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_068) ).
thf(58,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(43,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_050) ).
thf(107,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ $true
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( meetsTemporally_THFTYPE_IiioI @ B @ A )
| ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
!= ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[55,84]) ).
thf(119,plain,
! [B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( meetsTemporally_THFTYPE_IiioI @ B @ A )
| ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
!= ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[118]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ B @ A )
| ( ( minus_THFTYPE_IiiiI @ A @ B )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( sk1 != B )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(simp,[status(thm)],[119]) ).
thf(124,plain,
! [A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ sk1 @ A )
| ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(simp,[status(thm)],[122]) ).
thf(135,plain,
! [A: $i] :
( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
= ( lBeginFn_THFTYPE_IiiI @ A ) )
| ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(rewrite,[status(thm)],[124,53]) ).
thf(136,plain,
! [A: $i] :
( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
= ( lBeginFn_THFTYPE_IiiI @ A ) )
| ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(lifteq,[status(thm)],[135]) ).
thf(24,axiom,
domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_111) ).
thf(79,plain,
domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(36,axiom,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_158) ).
thf(94,plain,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(33,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(90,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(110,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ B )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
!= ( holdsDuring_THFTYPE_IiooI @ A @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[109]) ).
thf(111,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ B )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
!= ( holdsDuring_THFTYPE_IiooI @ A @ B ) ) ),
inference(simp,[status(thm)],[110]) ).
thf(182,plain,
$false,
inference(e,[status(thm)],[106,70,45,59,80,95,72,87,158,51,69,88,56,142,46,93,57,78,61,74,89,133,60,85,92,65,97,53,169,109,77,96,73,105,71,54,86,81,76,98,66,108,50,67,75,58,82,107,136,79,94,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR122^2 : 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
% 0.11/0.21 % Computer : n003.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 17:56:43 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.87/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.59/1.09 % [INFO] Parsing done (301ms).
% 1.59/1.10 % [INFO] Running in sequential loop mode.
% 2.70/1.49 % [INFO] eprover registered as external prover.
% 2.94/1.50 % [INFO] Scanning for conjecture ...
% 3.12/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 192 axioms. Running axiom selection ...
% 3.33/1.73 % [INFO] Axiom selection finished. Selected 42 axioms (removed 150 axioms).
% 3.33/1.78 % [INFO] Problem is higher-order (TPTP THF).
% 3.33/1.78 % [INFO] Type checking passed.
% 3.33/1.79 % [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 ...
% 10.85/3.74 % External prover 'e' found a proof!
% 10.85/3.74 % [INFO] Killing All external provers ...
% 10.85/3.74 % Time passed: 3388ms (effective reasoning time: 2632ms)
% 10.85/3.74 % 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)>
% 10.85/3.74 % Axioms used in derivation (42): ax_129, ax_058, ax_110, ax_128, ax_117, ax_122, ax_150, ax_062, ax_148, ax_025, ax_028, ax_131, ax_040, ax_050, ax_023, ax_113, ax_152, ax_089, ax_073, ax_049, ax_038, ax_005, ax_176, ax_021, ax_045, ax_087, ax_181, ax_140, ax_191, ax_158, ax_111, ax_190, ax_116, ax_036, ax_068, ax_119, ax_144, ax_022, ax_133, ax_004, ax_026, ax_093
% 10.85/3.74 % No. of inferences in proof: 117
% 10.85/3.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3388 ms resp. 2632 ms w/o parsing
% 11.39/3.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.39/3.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------