TSTP Solution File: KLE039+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE039+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.j9FGnLeUYn true
% Computer : n024.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 05:38:26 EDT 2023
% Result : Theorem 234.26s 34.43s
% Output : Refutation 234.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 196 ( 157 unt; 7 typ; 0 def)
% Number of atoms : 221 ( 151 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1220 ( 33 ~; 30 |; 0 &;1155 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 326 ( 0 ^; 326 !; 0 ?; 326 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(goals,conjecture,
! [X0: $i] :
( ( star @ ( star @ X0 ) )
= ( star @ X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( star @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl17,plain,
( ( star @ ( star @ sk_ ) )
!= ( star @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(star_unfold_right,axiom,
! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) ) @ ( star @ A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_right]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl263,plain,
! [X0: $i] :
( ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(additive_commutativity,axiom,
! [A: $i,B: $i] :
( ( addition @ A @ B )
= ( addition @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl48578,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl0]) ).
thf(additive_associativity,axiom,
! [C: $i,B: $i,A: $i] :
( ( addition @ A @ ( addition @ B @ C ) )
= ( addition @ ( addition @ A @ B ) @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(additive_idempotence,axiom,
! [A: $i] :
( ( addition @ A @ A )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl57]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) )
= ( addition @ X0 @ ( addition @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl69]) ).
thf(zip_derived_cl91991,plain,
! [X0: $i] :
( ( addition @ ( multiplication @ X0 @ ( star @ X0 ) ) @ ( star @ X0 ) )
= ( addition @ ( multiplication @ X0 @ ( star @ X0 ) ) @ ( addition @ ( star @ X0 ) @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl48578,zip_derived_cl96]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ ( addition @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl50]) ).
thf(zip_derived_cl48578_008,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl0]) ).
thf(zip_derived_cl92244,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( multiplication @ X0 @ ( star @ X0 ) ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl91991,zip_derived_cl0,zip_derived_cl0,zip_derived_cl221,zip_derived_cl48578]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(star_induction_left,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ ( addition @ ( multiplication @ A @ B ) @ C ) @ B )
=> ( leq @ ( multiplication @ ( star @ A ) @ C ) @ B ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_left]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ ( addition @ X2 @ ( multiplication @ X1 @ X0 ) ) @ X0 )
| ( leq @ ( multiplication @ ( star @ X1 ) @ X2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).
thf(zip_derived_cl93658,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) ) @ ( star @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92244,zip_derived_cl42]) ).
thf(zip_derived_cl3_010,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl69_011,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl57]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(multiplicative_left_identity,axiom,
! [A: $i] :
( ( multiplication @ one @ A )
= A ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl15_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_left]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl26]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ ( addition @ X0 @ X1 ) )
| ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ ( addition @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl109]) ).
thf(zip_derived_cl404,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( addition @ X0 @ X1 ) @ ( addition @ X1 @ X0 ) )
!= ( addition @ X1 @ X0 ) )
| ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl123]) ).
thf(zip_derived_cl1_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl57_015,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl3_016,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl50_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl236,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl50]) ).
thf(zip_derived_cl433,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ ( addition @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl1,zip_derived_cl57,zip_derived_cl236]) ).
thf(zip_derived_cl434,plain,
! [X0: $i,X1: $i] : ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl433]) ).
thf(zip_derived_cl2830,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl434]) ).
thf(zip_derived_cl236_018,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl50]) ).
thf(zip_derived_cl12_019,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl6_020,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(additive_identity,axiom,
! [A: $i] :
( ( addition @ A @ zero )
= A ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl15_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_left]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( multiplication @ X1 @ X0 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ X1 ) @ zero ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).
thf(right_annihilation,axiom,
! [A: $i] :
( ( multiplication @ A @ zero )
= zero ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( multiplication @ X0 @ zero )
= zero ),
inference(cnf,[status(esa)],[right_annihilation]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( multiplication @ X1 @ X0 ) @ X0 )
| ( leq @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl9]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( leq @ X0 @ X0 )
| ( leq @ zero @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl27]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( ( addition @ X0 @ X0 )
!= X0 )
| ( leq @ zero @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl32]) ).
thf(zip_derived_cl3_022,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( leq @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl3]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] : ( leq @ zero @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl11_023,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl11]) ).
thf(zip_derived_cl50_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ zero @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl50]) ).
thf(zip_derived_cl564,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X0 )
= ( addition @ zero @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl230]) ).
thf(zip_derived_cl41_025,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl11]) ).
thf(zip_derived_cl577,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X0 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl41]) ).
thf(zip_derived_cl6_026,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl13_027,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_right]) ).
thf(zip_derived_cl266,plain,
leq @ ( addition @ one @ ( star @ one ) ) @ ( star @ one ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf(zip_derived_cl11_028,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl282,plain,
( ( addition @ ( addition @ one @ ( star @ one ) ) @ ( star @ one ) )
= ( star @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl11]) ).
thf(zip_derived_cl1444,plain,
( ( addition @ one @ ( star @ one ) )
= ( star @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl577,zip_derived_cl282]) ).
thf(zip_derived_cl57_029,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl230_030,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ zero @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl50]) ).
thf(zip_derived_cl565,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ zero @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl230]) ).
thf(zip_derived_cl41_031,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl11]) ).
thf(zip_derived_cl578,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl41]) ).
thf(zip_derived_cl1483,plain,
( ( addition @ ( star @ one ) @ one )
= ( addition @ one @ ( star @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1444,zip_derived_cl578]) ).
thf(zip_derived_cl1444_032,plain,
( ( addition @ one @ ( star @ one ) )
= ( star @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl577,zip_derived_cl282]) ).
thf(zip_derived_cl1498,plain,
( ( addition @ ( star @ one ) @ one )
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl1483,zip_derived_cl1444]) ).
thf(multiplicative_right_identity,axiom,
! [A: $i] :
( ( multiplication @ A @ one )
= A ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl2830_033,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl434]) ).
thf(zip_derived_cl2878,plain,
leq @ ( star @ one ) @ one,
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl2830]) ).
thf(zip_derived_cl11_034,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl2880,plain,
( ( addition @ ( star @ one ) @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl2878,zip_derived_cl11]) ).
thf(zip_derived_cl2881,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl1498,zip_derived_cl2880]) ).
thf(zip_derived_cl6_035,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl2961,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl2830,zip_derived_cl2881,zip_derived_cl6]) ).
thf(zip_derived_cl93853,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) ) @ ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl93658,zip_derived_cl2961]) ).
thf(zip_derived_cl11_036,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl103524,plain,
! [X0: $i] :
( ( addition @ ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93853,zip_derived_cl11]) ).
thf(zip_derived_cl15_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_left]) ).
thf(zip_derived_cl159524,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( multiplication @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ) @ ( star @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl103524,zip_derived_cl15]) ).
thf(zip_derived_cl2961_038,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl2830,zip_derived_cl2881,zip_derived_cl6]) ).
thf(zip_derived_cl48578_039,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl0]) ).
thf(zip_derived_cl50_040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl69_041,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl57]) ).
thf(zip_derived_cl230_042,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ zero @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl50]) ).
thf(zip_derived_cl563,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X0 @ X1 ) @ X1 )
= ( addition @ zero @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl230]) ).
thf(zip_derived_cl41_043,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl11]) ).
thf(zip_derived_cl576,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X0 @ X1 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl563,zip_derived_cl41]) ).
thf(zip_derived_cl576_044,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X0 @ X1 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl563,zip_derived_cl41]) ).
thf(zip_derived_cl806,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl576]) ).
thf(zip_derived_cl236_045,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl50]) ).
thf(zip_derived_cl823,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl806,zip_derived_cl236]) ).
thf(zip_derived_cl1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) @ X1 )
= ( addition @ ( addition @ X0 @ X2 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl823]) ).
thf(zip_derived_cl1_046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl1264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) @ X1 )
= ( addition @ X0 @ ( addition @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1239,zip_derived_cl1]) ).
thf(zip_derived_cl91998,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ one )
= ( addition @ ( multiplication @ X0 @ ( star @ X0 ) ) @ ( addition @ ( star @ X0 ) @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl48578,zip_derived_cl1264]) ).
thf(zip_derived_cl0_047,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_048,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl221_049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ ( addition @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl50]) ).
thf(zip_derived_cl48578_050,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl0]) ).
thf(zip_derived_cl92250,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl91998,zip_derived_cl0,zip_derived_cl0,zip_derived_cl221,zip_derived_cl48578]) ).
thf(zip_derived_cl578_051,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl41]) ).
thf(zip_derived_cl50_052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl578_053,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl41]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) @ X1 )
= ( addition @ X1 @ ( addition @ X0 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl578]) ).
thf(zip_derived_cl0_054,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl29042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X2 @ X1 ) @ ( addition @ X0 @ X2 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1141,zip_derived_cl55]) ).
thf(zip_derived_cl42556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X1 @ X2 ) @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl29042]) ).
thf(zip_derived_cl236_056,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl50]) ).
thf(zip_derived_cl1_057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ ( addition @ X1 @ X0 ) @ X2 ) )
= ( addition @ ( addition @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl1]) ).
thf(zip_derived_cl1_058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl1_059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ ( addition @ X0 @ X2 ) ) )
= ( addition @ X1 @ ( addition @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl42780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X1 @ X2 ) @ ( addition @ X1 @ X0 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42556,zip_derived_cl390]) ).
thf(zip_derived_cl92415,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ one @ X1 ) @ ( star @ X0 ) )
= ( addition @ X1 @ ( addition @ one @ ( star @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl92250,zip_derived_cl42780]) ).
thf(zip_derived_cl92250_060,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl91998,zip_derived_cl0,zip_derived_cl0,zip_derived_cl221,zip_derived_cl48578]) ).
thf(zip_derived_cl92608,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ one @ X1 ) @ ( star @ X0 ) )
= ( addition @ X1 @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92415,zip_derived_cl92250]) ).
thf(star_unfold_left,axiom,
! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ ( star @ A ) @ A ) ) @ ( star @ A ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_left]) ).
thf(zip_derived_cl11_061,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl6022,plain,
! [X0: $i] :
( ( addition @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl101264,plain,
! [X0: $i] :
( ( addition @ ( multiplication @ ( star @ X0 ) @ X0 ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl92608,zip_derived_cl6022]) ).
thf(zip_derived_cl92250_062,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl91998,zip_derived_cl0,zip_derived_cl0,zip_derived_cl221,zip_derived_cl48578]) ).
thf(zip_derived_cl0_063,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(right_distributivity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( addition @ B @ C ) )
= ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[right_distributivity]) ).
thf(zip_derived_cl6492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X2 @ ( addition @ X1 @ X0 ) )
= ( addition @ ( multiplication @ X2 @ X0 ) @ ( multiplication @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).
thf(zip_derived_cl92385,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X1 @ ( star @ X0 ) )
= ( addition @ ( multiplication @ X1 @ ( star @ X0 ) ) @ ( multiplication @ X1 @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl92250,zip_derived_cl6492]) ).
thf(zip_derived_cl5_064,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl0_065,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl92588,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X1 @ ( star @ X0 ) )
= ( addition @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92385,zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl578_066,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl41]) ).
thf(zip_derived_cl97592,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( multiplication @ X1 @ ( star @ X0 ) ) @ X1 )
= ( addition @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl92588,zip_derived_cl578]) ).
thf(zip_derived_cl92588_067,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X1 @ ( star @ X0 ) )
= ( addition @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92385,zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl97897,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( multiplication @ X1 @ ( star @ X0 ) ) @ X1 )
= ( multiplication @ X1 @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97592,zip_derived_cl92588]) ).
thf(zip_derived_cl113889,plain,
! [X0: $i] :
( ( star @ ( star @ X0 ) )
= ( multiplication @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl101264,zip_derived_cl97897]) ).
thf(zip_derived_cl159762,plain,
! [X0: $i] : ( leq @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl159524,zip_derived_cl2961,zip_derived_cl113889]) ).
thf(zip_derived_cl11_068,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl160196,plain,
! [X0: $i] :
( ( addition @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl159762,zip_derived_cl11]) ).
thf(zip_derived_cl92244_069,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( multiplication @ X0 @ ( star @ X0 ) ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl91991,zip_derived_cl0,zip_derived_cl0,zip_derived_cl221,zip_derived_cl48578]) ).
thf(zip_derived_cl92588_070,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X1 @ ( star @ X0 ) )
= ( addition @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl92385,zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl50_071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl578_072,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl41]) ).
thf(zip_derived_cl26_073,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl2881_074,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl1498,zip_derived_cl2880]) ).
thf(zip_derived_cl6_075,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl2936,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl2881,zip_derived_cl6]) ).
thf(zip_derived_cl2991,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl2936]) ).
thf(zip_derived_cl2961_076,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl2830,zip_derived_cl2881,zip_derived_cl6]) ).
thf(zip_derived_cl3013,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2991,zip_derived_cl2961]) ).
thf(zip_derived_cl3400,plain,
! [X0: $i,X1: $i,X2: $i] : ( leq @ X1 @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl3013]) ).
thf(zip_derived_cl97615,plain,
! [X0: $i,X1: $i,X2: $i] : ( leq @ X1 @ ( addition @ X2 @ ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl92588,zip_derived_cl3400]) ).
thf(zip_derived_cl106175,plain,
! [X0: $i] : ( leq @ X0 @ ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl92244,zip_derived_cl97615]) ).
thf(zip_derived_cl11_077,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl106212,plain,
! [X0: $i] :
( ( addition @ X0 @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106175,zip_derived_cl11]) ).
thf(zip_derived_cl578_078,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl41]) ).
thf(zip_derived_cl106242,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ X0 )
= ( addition @ X0 @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl106212,zip_derived_cl578]) ).
thf(zip_derived_cl106212_079,plain,
! [X0: $i] :
( ( addition @ X0 @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl106175,zip_derived_cl11]) ).
thf(zip_derived_cl106536,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ X0 )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl106242,zip_derived_cl106212]) ).
thf(zip_derived_cl160556,plain,
! [X0: $i] :
( ( star @ X0 )
= ( star @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl160196,zip_derived_cl106536]) ).
thf(zip_derived_cl161303,plain,
( ( star @ sk_ )
!= ( star @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl160556]) ).
thf(zip_derived_cl161304,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl161303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE039+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.j9FGnLeUYn true
% 0.14/0.35 % Computer : n024.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 : Tue Aug 29 11:55:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 234.26/34.43 % Solved by fo/fo7.sh.
% 234.26/34.43 % done 29472 iterations in 33.654s
% 234.26/34.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 234.26/34.43 % SZS output start Refutation
% See solution above
% 234.26/34.43
% 234.26/34.43
% 234.26/34.43 % Terminating...
% 235.13/34.54 % Runner terminated.
% 235.13/34.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------