TSTP Solution File: CSR124^2 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR124^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 : 300s
% DateTime : Tue May 7 07:38:52 EDT 2024
% Result : Theorem 6.40s 2.53s
% Output : Refutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 78
% Syntax : Number of formulae : 145 ( 43 unt; 36 typ; 0 def)
% Number of atoms : 243 ( 55 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 519 ( 65 ~; 48 |; 12 &; 382 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 17 con; 0-3 aty)
% Number of variables : 71 ( 0 ^ 69 !; 2 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(domain_THFTYPE_IIIiioIIiioIoIiioI_type,type,
domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(domain_THFTYPE_IIiiIiioI_type,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(domain_THFTYPE_IIiioIiioI_type,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IIiiIioI_type,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(instance_THFTYPE_IIiioIioI_type,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(instance_THFTYPE_IIiooIioI_type,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(instance_THFTYPE_IiioI_type,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lAsymmetricRelation_THFTYPE_i_type,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(lBeginFn_THFTYPE_IiiI_type,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lBinaryPredicate_THFTYPE_i_type,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(lCardinalityFn_THFTYPE_IiiI_type,type,
lCardinalityFn_THFTYPE_IiiI: $i > $i ).
thf(lEndFn_THFTYPE_IiiI_type,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(lEntity_THFTYPE_i_type,type,
lEntity_THFTYPE_i: $i ).
thf(lInteger_THFTYPE_i_type,type,
lInteger_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(lTemporalRelation_THFTYPE_i_type,type,
lTemporalRelation_THFTYPE_i: $i ).
thf(lTimeInterval_THFTYPE_i_type,type,
lTimeInterval_THFTYPE_i: $i ).
thf(lUnaryFunction_THFTYPE_i_type,type,
lUnaryFunction_THFTYPE_i: $i ).
thf(lWhenFn_THFTYPE_IiiI_type,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(lYearFn_THFTYPE_i_type,type,
lYearFn_THFTYPE_i: $i ).
thf(lYear_THFTYPE_i_type,type,
lYear_THFTYPE_i: $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(meetsTemporally_THFTYPE_IiioI_type,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(minus_THFTYPE_IiiiI_type,type,
minus_THFTYPE_IiiiI: $i > $i > $i ).
thf(n1_THFTYPE_i_type,type,
n1_THFTYPE_i: $i ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(rangeSubclass_THFTYPE_IiioI_type,type,
rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).
thf(relatedInternalConcept_THFTYPE_IIiioIIiioIoI_type,type,
relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(relatedInternalConcept_THFTYPE_IiIiiIoI_type,type,
relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).
thf(temporalPart_THFTYPE_IiioI_type,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(16,axiom,
? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_029) ).
thf(69,plain,
? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(70,plain,
instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i,
inference(cnf,[status(esa)],[69]) ).
thf(30,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/sandbox/benchmark/theBenchmark.p',ax_039) ).
thf(84,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)],[30]) ).
thf(85,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)],[84]) ).
thf(86,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)],[85]) ).
thf(116,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(paramod_ordered,[status(thm)],[70,86]) ).
thf(118,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)],[116]) ).
thf(120,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)],[118]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( instance_THFTYPE_IiioI @ B @ C )
= ( instance_THFTYPE_IiioI @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_041) ).
thf(56,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)],[10]) ).
thf(7,axiom,
! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(52,plain,
! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,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/sandbox/benchmark/theBenchmark.p',ax_046) ).
thf(60,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)],[11]) ).
thf(53,plain,
! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
inference(cnf,[status(esa)],[52]) ).
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/sandbox/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(44,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(5,axiom,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_127) ).
thf(50,plain,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,axiom,
domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_110) ).
thf(72,plain,
domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(31,axiom,
domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_180) ).
thf(87,plain,
domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(9,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_061) ).
thf(55,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_190) ).
thf(51,plain,
instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(35,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_024) ).
thf(91,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(134,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(rewrite,[status(thm)],[44,91]) ).
thf(135,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[134]) ).
thf(136,plain,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[91,135]) ).
thf(137,plain,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( lBill_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[136]) ).
thf(138,plain,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[137]) ).
thf(32,axiom,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_128) ).
thf(88,plain,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A = B )
=> ! [C: $i] :
( ( instance_THFTYPE_IiioI @ C @ A )
= ( instance_THFTYPE_IiioI @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_037) ).
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)],[4]) ).
thf(37,axiom,
domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_121) ).
thf(93,plain,
domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(24,axiom,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_109) ).
thf(78,plain,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(43,axiom,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_086) ).
thf(106,plain,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(33,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(89,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)],[33]) ).
thf(20,axiom,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_088) ).
thf(74,plain,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_116) ).
thf(92,plain,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
= ( ( lEndFn_THFTYPE_IiiI @ A )
= ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).
thf(65,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)],[14]) ).
thf(40,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_175) ).
thf(97,plain,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(23,axiom,
domain_THFTYPE_IIIiioIIiioIoIiioI @ relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_151) ).
thf(77,plain,
domain_THFTYPE_IIIiioIIiioIoIiioI @ relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(39,axiom,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_022) ).
thf(95,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(96,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(cnf,[status(esa)],[95]) ).
thf(19,axiom,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_147) ).
thf(73,plain,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(42,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_023) ).
thf(105,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(3,axiom,
domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_072) ).
thf(45,plain,
domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_143) ).
thf(64,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,axiom,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_139) ).
thf(71,plain,
instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(8,axiom,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_112) ).
thf(54,plain,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,axiom,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_092) ).
thf(81,plain,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(22,axiom,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_132) ).
thf(76,plain,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(41,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/sandbox/benchmark/theBenchmark.p',ax_027) ).
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)],[41]) ).
thf(107,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)],[96]) ).
thf(108,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ B )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
!= ( holdsDuring_THFTYPE_IiooI @ A @ B ) ) ),
inference(simp,[status(thm)],[107]) ).
thf(26,axiom,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_149) ).
thf(80,plain,
instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(12,axiom,
domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_115) ).
thf(63,plain,
domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(21,axiom,
rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_057) ).
thf(75,plain,
rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(115,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(paramod_ordered,[status(thm)],[70,86]) ).
thf(117,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)],[115]) ).
thf(119,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)],[117]) ).
thf(28,axiom,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_130) ).
thf(82,plain,
instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ( ( minus_THFTYPE_IiiiI @ B @ C )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ( meetsTemporally_THFTYPE_IiioI @ C @ B )
| ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
!= ( instance_THFTYPE_IiioI @ C @ lYear_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[53,86]) ).
thf(124,plain,
! [C: $i,B: $i,A: $i] :
( ( meetsTemporally_THFTYPE_IiioI @ C @ B )
| ( ( minus_THFTYPE_IiiiI @ B @ C )
!= n1_THFTYPE_i )
| ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
| ( A != C )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(simp,[status(thm)],[122]) ).
thf(126,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 )
| ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
inference(simp,[status(thm)],[124]) ).
thf(25,axiom,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_118) ).
thf(79,plain,
instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(38,axiom,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_157) ).
thf(94,plain,
instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(15,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_067) ).
thf(68,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(61,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)],[60]) ).
thf(62,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)],[61]) ).
thf(34,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(90,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)],[34]) ).
thf(29,axiom,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_189) ).
thf(83,plain,
instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(147,plain,
$false,
inference(e,[status(thm)],[120,56,52,60,53,44,50,72,87,55,51,69,138,88,46,93,78,106,84,89,74,92,65,97,77,96,73,105,45,64,71,54,86,81,76,98,91,108,135,80,63,95,75,119,82,126,79,94,68,62,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR124^2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n016.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 15:47:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.08/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.54/1.15 % [INFO] Parsing done (216ms).
% 1.54/1.16 % [INFO] Running in sequential loop mode.
% 2.16/1.39 % [INFO] eprover registered as external prover.
% 2.16/1.39 % [INFO] cvc4 registered as external prover.
% 2.16/1.39 % [INFO] Scanning for conjecture ...
% 2.38/1.47 % [INFO] Found a conjecture and 191 axioms. Running axiom selection ...
% 2.56/1.54 % [INFO] Axiom selection finished. Selected 41 axioms (removed 150 axioms).
% 2.56/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.56/1.57 % [INFO] Type checking passed.
% 2.56/1.57 % [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 ...
% 6.40/2.52 % External prover 'e' found a proof!
% 6.40/2.52 % [INFO] Killing All external provers ...
% 6.40/2.52 % Time passed: 1978ms (effective reasoning time: 1360ms)
% 6.40/2.52 % 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)>
% 6.40/2.53 % Axioms used in derivation (41): ax_115, ax_175, ax_006, ax_147, ax_027, ax_086, ax_041, ax_022, ax_046, ax_037, ax_189, ax_092, ax_121, ax_157, ax_132, ax_088, ax_143, ax_118, ax_023, ax_061, ax_110, ax_024, ax_128, ax_112, ax_005, ax_139, ax_067, ax_072, ax_151, ax_039, ax_190, ax_116, ax_127, ax_109, ax_149, ax_004, ax_130, ax_057, ax_026, ax_029, ax_180
% 6.40/2.53 % No. of inferences in proof: 109
% 6.40/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1978 ms resp. 1360 ms w/o parsing
% 6.40/2.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.40/2.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------