TSTP Solution File: CSR137^2 by Leo-III---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 : Mon May 20 19:29:46 EDT 2024
% Result : Theorem 14.86s 4.82s
% Output : Refutation 14.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 72
% Syntax : Number of formulae : 151 ( 62 unt; 27 typ; 0 def)
% Number of atoms : 219 ( 28 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 569 ( 71 ~; 36 |; 26 &; 413 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 71 ( 71 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 14 con; 0-3 aty)
% Number of variables : 136 ( 0 ^ 124 !; 12 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(attribute_THFTYPE_i_type,type,
attribute_THFTYPE_i: $i ).
thf(domain_THFTYPE_IIiioIiioI_type,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(domain_THFTYPE_IiiioI_type,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(equal_THFTYPE_i_type,type,
equal_THFTYPE_i: $i ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $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(lAnna_THFTYPE_i_type,type,
lAnna_THFTYPE_i: $i ).
thf(lAsymmetricRelation_THFTYPE_i_type,type,
lAsymmetricRelation_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_type,type,
lBen_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lBinaryPredicate_THFTYPE_i_type,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_type,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lOrganism_THFTYPE_i_type,type,
lOrganism_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n1_THFTYPE_i_type,type,
n1_THFTYPE_i: $i ).
thf(n2_THFTYPE_i_type,type,
n2_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_type,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(range_THFTYPE_IiioI_type,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(subclass_THFTYPE_IiioI_type,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(subrelation_THFTYPE_IIioIIioIoI_type,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(subrelation_THFTYPE_IiioI_type,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(8,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(56,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).
thf(60,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(53,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(55,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(47,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(48,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B @ D @ E )
| ( A @ F @ G ) ),
inference(cnf,[status(esa)],[47]) ).
thf(134,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B @ D @ E )
| ( A @ F @ G )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[55,48]) ).
thf(210,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( A @ C @ D ) ),
inference(pre_uni,[status(thm)],[134:[bind(A,$thf( A )),bind(B,$thf( ^ [H: $i] : ^ [I: $i] : ( parent_THFTYPE_IiioI @ H @ lAnna_THFTYPE_i ) )),bind(C,$thf( lMary_THFTYPE_i )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G ))]]) ).
thf(299,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( A @ C @ D ) ),
inference(simp,[status(thm)],[210]) ).
thf(13,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_010) ).
thf(65,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(66,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[65]) ).
thf(323,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( ( A @ C @ D )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[299,66]) ).
thf(384,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[323:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ E ) )),bind(B,$thf( B )),bind(C,$thf( lBen_THFTYPE_i )),bind(D,$thf( D ))]]) ).
thf(392,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[384]) ).
thf(530,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[392,66]) ).
thf(545,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
| ( A != lBob_THFTYPE_i )
| ( lBen_THFTYPE_i != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[530]) ).
thf(569,plain,
( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i )
| ( lBen_THFTYPE_i != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[545]) ).
thf(10,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(59,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(42,axiom,
instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_039) ).
thf(112,plain,
instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(5,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(51,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_012) ).
thf(69,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subrelation_THFTYPE_IiioI @ B @ D )
& ( domain_THFTYPE_IiiioI @ D @ A @ C ) )
=> ( domain_THFTYPE_IiiioI @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_030) ).
thf(101,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subrelation_THFTYPE_IiioI @ B @ D )
& ( domain_THFTYPE_IiiioI @ D @ A @ C ) )
=> ( domain_THFTYPE_IiiioI @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(28,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_025) ).
thf(93,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(94,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[93]) ).
thf(505,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(paramod_ordered,[status(thm)],[69,94]) ).
thf(513,plain,
( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
| ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[505]) ).
thf(518,plain,
lSue_THFTYPE_i != lBob_THFTYPE_i,
inference(simp,[status(thm)],[513]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( parent_THFTYPE_IiioI @ B @ C )
& ( subclass_THFTYPE_IiioI @ A @ lOrganism_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ C @ A ) )
=> ( instance_THFTYPE_IiioI @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_023) ).
thf(88,plain,
! [A: $i,B: $i,C: $i] :
( ( ( parent_THFTYPE_IiioI @ B @ C )
& ( subclass_THFTYPE_IiioI @ A @ lOrganism_THFTYPE_i )
& ( instance_THFTYPE_IiioI @ C @ A ) )
=> ( instance_THFTYPE_IiioI @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(45,axiom,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_042) ).
thf(115,plain,
instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(49,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(52,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[51]) ).
thf(118,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(paramod_ordered,[status(thm)],[49,52]) ).
thf(119,plain,
( ( lSue_THFTYPE_i != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[118]) ).
thf(120,plain,
lMary_THFTYPE_i != lBill_THFTYPE_i,
inference(simp,[status(thm)],[119]) ).
thf(40,axiom,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_037) ).
thf(110,plain,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(441,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(paramod_ordered,[status(thm)],[59,66]) ).
thf(445,plain,
( ( lMary_THFTYPE_i != lBob_THFTYPE_i )
| ( lBen_THFTYPE_i != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[441]) ).
thf(460,plain,
lMary_THFTYPE_i != lBob_THFTYPE_i,
inference(simp,[status(thm)],[445]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subclass_THFTYPE_IiioI @ A @ B )
& ( instance_THFTYPE_IiioI @ C @ A ) )
=> ( instance_THFTYPE_IiioI @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(57,plain,
! [A: $i,B: $i,C: $i] :
( ( ( subclass_THFTYPE_IiioI @ A @ B )
& ( instance_THFTYPE_IiioI @ C @ A ) )
=> ( instance_THFTYPE_IiioI @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_017) ).
thf(78,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_033) ).
thf(106,plain,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( range_THFTYPE_IiioI @ B @ A )
& ( range_THFTYPE_IiioI @ B @ C ) )
=> ( ( subclass_THFTYPE_IiioI @ A @ C )
| ( subclass_THFTYPE_IiioI @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_020) ).
thf(84,plain,
! [A: $i,B: $i,C: $i] :
( ( ( range_THFTYPE_IiioI @ B @ A )
& ( range_THFTYPE_IiioI @ B @ C ) )
=> ( ( subclass_THFTYPE_IiioI @ A @ C )
| ( subclass_THFTYPE_IiioI @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(12,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_009) ).
thf(61,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)],[12]) ).
thf(46,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_043) ).
thf(116,plain,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(18,axiom,
! [A: $i] :
( ( instance_THFTYPE_IiioI @ A @ lOrganism_THFTYPE_i )
=> ? [B: $i] : ( parent_THFTYPE_IiioI @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_015) ).
thf(74,plain,
! [A: $i] :
( ( instance_THFTYPE_IiioI @ A @ lOrganism_THFTYPE_i )
=> ? [B: $i] : ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(16,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_013) ).
thf(70,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(30,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_027) ).
thf(97,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(39,axiom,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_036) ).
thf(109,plain,
instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(19,axiom,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_016) ).
thf(76,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(77,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(cnf,[status(esa)],[76]) ).
thf(17,axiom,
! [A: $i > $o,B: $i,C: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ C @ A )
& ( C @ B ) )
=> ( A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_014) ).
thf(71,plain,
! [A: $i > $o,B: $i,C: $i > $o] :
( ( ( subrelation_THFTYPE_IIioIIioIoI @ C @ A )
& ( C @ B ) )
=> ( A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(72,plain,
! [A: $i > $o,B: $i] :
( ? [C: $i > $o] :
( ( subrelation_THFTYPE_IIioIIioIoI @ C @ A )
& ( C @ B ) )
=> ( A @ B ) ),
inference(miniscope,[status(thm)],[71]) ).
thf(73,plain,
! [C: $i > $o,B: $i,A: $i > $o] :
( ~ ( subrelation_THFTYPE_IIioIIioIoI @ C @ A )
| ~ ( C @ B )
| ( A @ B ) ),
inference(cnf,[status(esa)],[72]) ).
thf(35,axiom,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_032) ).
thf(105,plain,
instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(24,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_021) ).
thf(86,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(43,axiom,
instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_040) ).
thf(113,plain,
instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( domain_THFTYPE_IiiioI @ C @ A @ B )
& ( domain_THFTYPE_IiiioI @ C @ A @ D ) )
=> ( ( subclass_THFTYPE_IiioI @ B @ D )
| ( subclass_THFTYPE_IiioI @ D @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_028) ).
thf(98,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( domain_THFTYPE_IiiioI @ C @ A @ B )
& ( domain_THFTYPE_IiiioI @ C @ A @ D ) )
=> ( ( subclass_THFTYPE_IiioI @ B @ D )
| ( subclass_THFTYPE_IiioI @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subrelation_THFTYPE_IiioI @ C @ A )
& ( range_THFTYPE_IiioI @ A @ B ) )
=> ( range_THFTYPE_IiioI @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_024) ).
thf(91,plain,
! [A: $i,B: $i,C: $i] :
( ( ( subrelation_THFTYPE_IiioI @ C @ A )
& ( range_THFTYPE_IiioI @ A @ B ) )
=> ( range_THFTYPE_IiioI @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(38,axiom,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_035) ).
thf(108,plain,
domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(22,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_019) ).
thf(80,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)],[22]) ).
thf(29,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).
thf(95,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(4,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(50,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_011) ).
thf(67,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(25,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_022) ).
thf(87,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(320,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ B @ lAnna_THFTYPE_i )
| ( ( A @ C @ D )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[299,52]) ).
thf(358,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[320:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : ( likes_THFTYPE_IiioI @ E @ lMary_THFTYPE_i ) )),bind(B,$thf( B )),bind(C,$thf( lSue_THFTYPE_i )),bind(D,$thf( D ))]]) ).
thf(421,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[358]) ).
thf(1125,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[421,94]) ).
thf(1126,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lMary_THFTYPE_i ),
inference(pattern_uni,[status(thm)],[1125:[bind(A,$thf( lBob_THFTYPE_i ))]]) ).
thf(34,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_031) ).
thf(104,plain,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(44,axiom,
instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_041) ).
thf(114,plain,
instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(75,plain,
! [A: $i] :
( ~ ( instance_THFTYPE_IiioI @ A @ lOrganism_THFTYPE_i )
| ( parent_THFTYPE_IiioI @ A @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[74]) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( subclass_THFTYPE_IiioI @ A @ B )
| ~ ( instance_THFTYPE_IiioI @ C @ A )
| ( instance_THFTYPE_IiioI @ C @ B ) ),
inference(cnf,[status(esa)],[57]) ).
thf(37,axiom,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_034) ).
thf(107,plain,
instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(21,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_018) ).
thf(79,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(41,axiom,
instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_038) ).
thf(111,plain,
instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(32,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_029) ).
thf(100,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(1451,plain,
$false,
inference(e,[status(thm)],[56,60,53,569,59,112,51,47,69,101,518,88,115,120,52,110,460,93,57,78,106,84,61,116,74,392,70,65,97,109,77,73,105,71,49,86,113,76,98,91,66,108,299,80,48,95,50,67,87,1126,104,55,114,75,58,107,79,94,111,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR137^2 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 02:24:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.22/1.13 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.82/1.36 % [INFO] Parsing done (225ms).
% 1.82/1.38 % [INFO] Running in sequential loop mode.
% 2.53/1.83 % [INFO] eprover registered as external prover.
% 2.53/1.84 % [INFO] cvc4 registered as external prover.
% 2.53/1.85 % [INFO] Scanning for conjecture ...
% 2.78/1.97 % [INFO] Found a conjecture (or negated_conjecture) and 44 axioms. Running axiom selection ...
% 2.87/2.01 % [INFO] Axiom selection finished. Selected 44 axioms (removed 0 axioms).
% 3.15/2.06 % [INFO] Problem is higher-order (TPTP THF).
% 3.15/2.07 % [INFO] Type checking passed.
% 3.15/2.08 % [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 ...
% 14.86/4.81 % External prover 'e' found a proof!
% 14.86/4.81 % [INFO] Killing All external provers ...
% 14.86/4.81 % Time passed: 4283ms (effective reasoning time: 3427ms)
% 14.86/4.81 % 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)>
% 14.86/4.82 % Axioms used in derivation (44): ax_040, ax_020, ax_012, ax_023, ax_038, ax_027, ax_031, ax_042, ax_019, ax, ax_039, ax_008, ax_004, ax_007, ax_037, ax_025, ax_014, ax_028, ax_003, ax_017, ax_033, ax_006, ax_001, ax_032, ax_009, ax_043, ax_002, ax_024, ax_013, ax_005, ax_021, ax_010, ax_016, ax_034, ax_041, ax_030, ax_036, ax_011, ax_015, ax_022, ax_026, ax_035, ax_029, ax_018
% 14.86/4.82 % No. of inferences in proof: 124
% 14.86/4.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4283 ms resp. 3427 ms w/o parsing
% 14.96/4.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.96/4.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------