TSTP Solution File: SET675+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Yk57NQb4Xp true
% Computer : n029.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 : Thu Aug 31 16:15:32 EDT 2023
% Result : Theorem 0.92s 0.84s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 30
% Syntax : Number of formulae : 102 ( 31 unt; 18 typ; 0 def)
% Number of atoms : 192 ( 63 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 978 ( 91 ~; 69 |; 5 &; 779 @)
% ( 1 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 113 ( 0 ^; 113 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(inverse2_type,type,
inverse2: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(image_type,type,
image: $i > $i > $i ).
thf(image4_type,type,
image4: $i > $i > $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(inverse4_type,type,
inverse4: $i > $i > $i > $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(p12,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ilf_type @ B @ binary_relation_type )
<=> ( ( relation_like @ B )
& ( ilf_type @ B @ set_type ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( relation_like @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl15]) ).
thf(p35,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl56,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl535,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl56]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( inverse2 @ B @ ( range_of @ B ) )
= ( domain_of @ B ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ( inverse2 @ X0 @ ( range_of @ X0 ) )
= ( domain_of @ X0 ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(p29,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl56_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl56,zip_derived_cl56]) ).
thf(p27,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( domain @ B @ C @ D )
= ( domain_of @ D ) ) ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl56,zip_derived_cl56]) ).
thf(p3,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( ( image4 @ B @ C @ D @ B )
= ( range @ B @ C @ D ) )
& ( ( inverse4 @ B @ C @ D @ C )
= ( domain @ B @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( image4 @ X1 @ X0 @ X2 @ X1 )
= ( range @ X1 @ X0 @ X2 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl56_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( image4 @ X1 @ X0 @ X2 @ X1 )
= ( range @ X1 @ X0 @ X2 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( inverse4 @ X1 @ X0 @ X2 @ X0 )
= ( domain @ X1 @ X0 @ X2 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl56_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( inverse4 @ X1 @ X0 @ X2 @ X0 )
= ( domain @ X1 @ X0 @ X2 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl56,zip_derived_cl56]) ).
thf(p31,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( image4 @ B @ C @ D @ E )
= ( image @ D @ E ) ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( image4 @ X3 @ X0 @ X2 @ X1 )
= ( image @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl56_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( image4 @ X3 @ X0 @ X2 @ X1 )
= ( image @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56]) ).
thf(p33,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( inverse4 @ B @ C @ D @ E )
= ( inverse2 @ D @ E ) ) ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( inverse4 @ X3 @ X0 @ X2 @ X1 )
= ( inverse2 @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl56_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( inverse4 @ X3 @ X0 @ X2 @ X1 )
= ( inverse2 @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56]) ).
thf(prove_relset_1_39,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ C @ B ) )
=> ( ( ( image4 @ C @ B @ D @ ( inverse4 @ C @ B @ D @ B ) )
= ( range @ C @ B @ D ) )
& ( ( inverse4 @ C @ B @ D @ ( image4 @ C @ B @ D @ C ) )
= ( domain @ C @ B @ D ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ C @ B ) )
=> ( ( ( image4 @ C @ B @ D @ ( inverse4 @ C @ B @ D @ B ) )
= ( range @ C @ B @ D ) )
& ( ( inverse4 @ C @ B @ D @ ( image4 @ C @ B @ D @ C ) )
= ( domain @ C @ B @ D ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_39]) ).
thf(zip_derived_cl59,plain,
( ( ( image4 @ sk__11 @ sk__10 @ sk__12 @ ( inverse4 @ sk__11 @ sk__10 @ sk__12 @ sk__10 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) )
| ( ( inverse4 @ sk__11 @ sk__10 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl784,plain,
( ( ( inverse2 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) )
| ( ( image4 @ sk__11 @ sk__10 @ sk__12 @ ( inverse4 @ sk__11 @ sk__10 @ sk__12 @ sk__10 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl766,zip_derived_cl59]) ).
thf(zip_derived_cl58,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl787,plain,
( ( ( inverse2 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) )
| ( ( image4 @ sk__11 @ sk__10 @ sk__12 @ ( inverse4 @ sk__11 @ sk__10 @ sk__12 @ sk__10 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl58]) ).
thf(zip_derived_cl865,plain,
( ( ( image @ sk__12 @ ( inverse4 @ sk__11 @ sk__10 @ sk__12 @ sk__10 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) )
| ( ( inverse2 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl763,zip_derived_cl787]) ).
thf(zip_derived_cl58_015,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl868,plain,
( ( ( image @ sk__12 @ ( inverse4 @ sk__11 @ sk__10 @ sk__12 @ sk__10 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) )
| ( ( inverse2 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl865,zip_derived_cl58]) ).
thf(zip_derived_cl871,plain,
( ( ( image @ sk__12 @ ( domain @ sk__11 @ sk__10 @ sk__12 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) )
| ( ( inverse2 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl868]) ).
thf(zip_derived_cl58_016,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl873,plain,
( ( ( image @ sk__12 @ ( domain @ sk__11 @ sk__10 @ sk__12 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) )
| ( ( inverse2 @ sk__12 @ ( image4 @ sk__11 @ sk__10 @ sk__12 @ sk__11 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl871,zip_derived_cl58]) ).
thf(zip_derived_cl893,plain,
( ( ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) )
| ( ( image @ sk__12 @ ( domain @ sk__11 @ sk__10 @ sk__12 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl873]) ).
thf(zip_derived_cl58_017,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl895,plain,
( ( ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) )
| ( ( image @ sk__12 @ ( domain @ sk__11 @ sk__10 @ sk__12 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl58]) ).
thf(zip_derived_cl896,plain,
( ( ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) )
!= ( domain @ sk__11 @ sk__10 @ sk__12 ) )
| ( ( image @ sk__12 @ ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl895]) ).
thf(zip_derived_cl900,plain,
( ( ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) )
!= ( domain_of @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) )
| ( ( image @ sk__12 @ ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl896]) ).
thf(zip_derived_cl58_018,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl901,plain,
( ( ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) )
!= ( domain_of @ sk__12 ) )
| ( ( image @ sk__12 @ ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl900,zip_derived_cl58]) ).
thf(zip_derived_cl902,plain,
( ( ( inverse2 @ sk__12 @ ( range @ sk__11 @ sk__10 @ sk__12 ) )
!= ( domain_of @ sk__12 ) )
| ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl901]) ).
thf(zip_derived_cl903,plain,
( ( ( inverse2 @ sk__12 @ ( image @ sk__12 @ ( domain_of @ sk__12 ) ) )
!= ( domain_of @ sk__12 ) )
| ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range @ sk__11 @ sk__10 @ sk__12 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl902]) ).
thf(zip_derived_cl904,plain,
( ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range_of @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) )
| ( ( inverse2 @ sk__12 @ ( image @ sk__12 @ ( domain_of @ sk__12 ) ) )
!= ( domain_of @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl903]) ).
thf(zip_derived_cl58_019,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl905,plain,
( ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range_of @ sk__12 ) )
| ( ( inverse2 @ sk__12 @ ( image @ sk__12 @ ( domain_of @ sk__12 ) ) )
!= ( domain_of @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl904,zip_derived_cl58]) ).
thf(zip_derived_cl906,plain,
( ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range_of @ sk__12 ) )
| ( ( inverse2 @ sk__12 @ ( range_of @ sk__12 ) )
!= ( domain_of @ sk__12 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl905]) ).
thf(zip_derived_cl907,plain,
( ( ( domain_of @ sk__12 )
!= ( domain_of @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ binary_relation_type )
| ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range_of @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl906]) ).
thf(zip_derived_cl908,plain,
( ( ( image @ sk__12 @ ( domain_of @ sk__12 ) )
!= ( range_of @ sk__12 ) )
| ~ ( ilf_type @ sk__12 @ binary_relation_type ) ),
inference(simplify,[status(thm)],[zip_derived_cl907]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( image @ B @ ( domain_of @ B ) )
= ( range_of @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( ( image @ X0 @ ( domain_of @ X0 ) )
= ( range_of @ X0 ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl909,plain,
~ ( ilf_type @ sk__12 @ binary_relation_type ),
inference(clc,[status(thm)],[zip_derived_cl908,zip_derived_cl0]) ).
thf(zip_derived_cl911,plain,
~ ( relation_like @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl909]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
& ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl56_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl56,zip_derived_cl56]) ).
thf(p23,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( relation_like @ D ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p23]) ).
thf(zip_derived_cl56_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl56_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl558]) ).
thf(zip_derived_cl58_024,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl592,plain,
relation_like @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl589,zip_derived_cl58]) ).
thf(zip_derived_cl912,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl911,zip_derived_cl592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Yk57NQb4Xp true
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:20:55 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.92/0.84 % Solved by fo/fo3_bce.sh.
% 0.92/0.84 % BCE start: 61
% 0.92/0.84 % BCE eliminated: 0
% 0.92/0.84 % PE start: 61
% 0.92/0.84 logic: eq
% 0.92/0.84 % PE eliminated: -7
% 0.92/0.84 % done 153 iterations in 0.068s
% 0.92/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.92/0.84 % SZS output start Refutation
% See solution above
% 0.92/0.84
% 0.92/0.84
% 0.92/0.84 % Terminating...
% 1.39/0.89 % Runner terminated.
% 1.39/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------