TSTP Solution File: KLE142+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE142+2 : 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.cI68INW4Z5 true
% Computer : n003.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 05:38:47 EDT 2023
% Result : Theorem 4.56s 1.24s
% Output : Refutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 135 ( 85 unt; 8 typ; 0 def)
% Number of atoms : 169 ( 84 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 820 ( 40 ~; 36 |; 2 &; 738 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 191 ( 0 ^; 191 !; 0 ?; 191 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(strong_iteration_type,type,
strong_iteration: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(sk__type,type,
sk_: $i ).
thf(goals,conjecture,
! [X0: $i] :
( ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( strong_iteration @ X0 ) ) )
& ( leq @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ ( strong_iteration @ one ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( strong_iteration @ X0 ) ) )
& ( leq @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ ( strong_iteration @ one ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ~ ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( strong_iteration @ sk_ ) ) )
| ~ ( leq @ ( strong_iteration @ ( strong_iteration @ sk_ ) ) @ ( strong_iteration @ one ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(left_annihilation,axiom,
! [A: $i] :
( ( multiplication @ zero @ A )
= zero ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(star_unfold1,axiom,
! [A: $i] :
( ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) )
= ( star @ A ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) )
= ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold1]) ).
thf(zip_derived_cl107,plain,
( ( addition @ one @ zero )
= ( star @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
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_cl112,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl112_001,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl117,plain,
( ~ ( leq @ ( strong_iteration @ ( star @ zero ) ) @ ( strong_iteration @ ( strong_iteration @ sk_ ) ) )
| ~ ( leq @ ( strong_iteration @ ( strong_iteration @ sk_ ) ) @ ( strong_iteration @ ( star @ zero ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl112,zip_derived_cl112]) ).
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_cl112_002,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( ( multiplication @ X0 @ ( star @ zero ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
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_cl112_003,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ( multiplication @ ( star @ zero ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl112]) ).
thf(infty_coinduction,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ C @ ( addition @ ( multiplication @ A @ C ) @ B ) )
=> ( leq @ C @ ( multiplication @ ( strong_iteration @ A ) @ B ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
| ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[infty_coinduction]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( addition @ X0 @ X1 ) )
| ( leq @ X0 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl15]) ).
thf(zip_derived_cl430,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ ( addition @ X1 @ X0 ) )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl163]) ).
thf(idempotence,axiom,
! [A: $i] :
( ( addition @ A @ A )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
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_cl204,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_cl446,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl204]) ).
thf(zip_derived_cl447,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl446]) ).
thf(zip_derived_cl572,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ ( star @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl447]) ).
thf(zip_derived_cl573,plain,
~ ( leq @ ( strong_iteration @ ( star @ zero ) ) @ ( strong_iteration @ ( strong_iteration @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl572]) ).
thf(zip_derived_cl114_004,plain,
! [X0: $i] :
( ( multiplication @ X0 @ ( star @ zero ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(zip_derived_cl18_005,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(star_induction1,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ ( addition @ ( multiplication @ A @ C ) @ B ) @ C )
=> ( leq @ ( multiplication @ ( star @ A ) @ B ) @ C ) ) ).
thf(zip_derived_cl12,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_induction1]) ).
thf(zip_derived_cl28,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_cl12]) ).
thf(zip_derived_cl112_007,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ ( star @ zero ) ) @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl112]) ).
thf(zip_derived_cl9_008,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(infty_unfold1,axiom,
! [A: $i] :
( ( strong_iteration @ A )
= ( addition @ ( multiplication @ A @ ( strong_iteration @ A ) ) @ one ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) @ one ) ),
inference(cnf,[status(esa)],[infty_unfold1]) ).
thf(zip_derived_cl112_009,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
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_cl245,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ zero ) @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl112,zip_derived_cl0]) ).
thf(zip_derived_cl250,plain,
( ( strong_iteration @ zero )
= ( addition @ ( star @ zero ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl245]) ).
thf(zip_derived_cl2_010,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl253,plain,
( ( strong_iteration @ zero )
= ( star @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl2]) ).
thf(zip_derived_cl18_011,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl245_012,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ zero ) @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl112,zip_derived_cl0]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl12_014,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_induction1]) ).
thf(zip_derived_cl52,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_cl12]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] :
( ~ ( leq @ ( strong_iteration @ X0 ) @ ( strong_iteration @ X0 ) )
| ( leq @ ( multiplication @ ( star @ X0 ) @ ( star @ zero ) ) @ ( strong_iteration @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl52]) ).
thf(zip_derived_cl114_015,plain,
! [X0: $i] :
( ( multiplication @ X0 @ ( star @ zero ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(zip_derived_cl254,plain,
! [X0: $i] :
( ~ ( leq @ ( strong_iteration @ X0 ) @ ( strong_iteration @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl114]) ).
thf(zip_derived_cl294,plain,
! [X0: $i] :
( ( ( addition @ ( strong_iteration @ X0 ) @ ( strong_iteration @ X0 ) )
!= ( strong_iteration @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl254]) ).
thf(zip_derived_cl3_016,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
thf(zip_derived_cl297,plain,
! [X0: $i] :
( ( ( strong_iteration @ X0 )
!= ( strong_iteration @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl3]) ).
thf(zip_derived_cl298,plain,
! [X0: $i] : ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl313,plain,
leq @ ( star @ zero ) @ ( star @ zero ),
inference('sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl298]) ).
thf(star_unfold2,axiom,
! [A: $i] :
( ( addition @ one @ ( multiplication @ ( star @ A ) @ A ) )
= ( star @ A ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) )
= ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold2]) ).
thf(zip_derived_cl112_017,plain,
( ( star @ zero )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( addition @ ( star @ zero ) @ ( multiplication @ ( star @ X0 ) @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl112]) ).
thf(zip_derived_cl204_018,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_cl272,plain,
! [X0: $i] :
( ( addition @ ( star @ zero ) @ ( star @ X0 ) )
= ( addition @ ( star @ zero ) @ ( multiplication @ ( star @ X0 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl204]) ).
thf(zip_derived_cl233_019,plain,
! [X0: $i] :
( ( addition @ ( star @ zero ) @ ( multiplication @ ( star @ X0 ) @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl112]) ).
thf(zip_derived_cl279,plain,
! [X0: $i] :
( ( addition @ ( star @ zero ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl233]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( star @ zero ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl0]) ).
thf(zip_derived_cl119_021,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ ( star @ zero ) ) @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl112]) ).
thf(zip_derived_cl370,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( multiplication @ ( star @ ( star @ zero ) ) @ ( star @ zero ) ) @ ( star @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl119]) ).
thf(zip_derived_cl114_022,plain,
! [X0: $i] :
( ( multiplication @ X0 @ ( star @ zero ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(zip_derived_cl376,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( star @ ( star @ zero ) ) @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl114]) ).
thf(zip_derived_cl378,plain,
leq @ ( star @ ( star @ zero ) ) @ ( star @ zero ),
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl376]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl451,plain,
( ( addition @ ( star @ ( star @ zero ) ) @ ( star @ zero ) )
= ( star @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl17]) ).
thf(zip_derived_cl284_023,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ ( star @ zero ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl0]) ).
thf(zip_derived_cl461,plain,
( ( star @ zero )
= ( star @ ( star @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl284]) ).
thf(zip_derived_cl115_024,plain,
! [X0: $i] :
( ( multiplication @ ( star @ zero ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl461,zip_derived_cl115]) ).
thf(zip_derived_cl492,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( addition @ X0 @ X1 ) @ X0 )
!= X0 )
| ( leq @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl468]) ).
thf(zip_derived_cl1_025,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_026,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl204_027,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_cl265,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl204]) ).
thf(zip_derived_cl507,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
!= X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl492,zip_derived_cl1,zip_derived_cl265]) ).
thf(zip_derived_cl265_028,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl204]) ).
thf(zip_derived_cl114_029,plain,
! [X0: $i] :
( ( multiplication @ X0 @ ( star @ zero ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(zip_derived_cl0_030,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(star_induction2,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ ( addition @ ( multiplication @ C @ A ) @ B ) @ C )
=> ( leq @ ( multiplication @ B @ ( star @ A ) ) @ C ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ X0 @ ( star @ X1 ) ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X2 @ X1 ) @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction2]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ ( addition @ X2 @ ( multiplication @ X1 @ X0 ) ) @ X1 )
| ( leq @ ( multiplication @ X2 @ ( star @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl13]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ X0 )
| ( leq @ ( multiplication @ X1 @ ( star @ ( star @ zero ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl53]) ).
thf(zip_derived_cl461_031,plain,
( ( star @ zero )
= ( star @ ( star @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl284]) ).
thf(zip_derived_cl114_032,plain,
! [X0: $i] :
( ( multiplication @ X0 @ ( star @ zero ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl461,zip_derived_cl114]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ ( addition @ X0 @ X1 ) )
| ( leq @ X1 @ ( addition @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl471]) ).
thf(zip_derived_cl752,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( addition @ X1 @ X0 ) @ ( addition @ X0 @ X1 ) )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X0 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl513]) ).
thf(zip_derived_cl1_033,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_cl204_034,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_cl265_035,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl204]) ).
thf(zip_derived_cl789,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X0 @ ( addition @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl1,zip_derived_cl204,zip_derived_cl265]) ).
thf(zip_derived_cl790,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl789]) ).
thf(zip_derived_cl15_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
| ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[infty_coinduction]) ).
thf(zip_derived_cl998,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl15]) ).
thf(zip_derived_cl17_037,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1243,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X0 ) )
= ( multiplication @ ( strong_iteration @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl998,zip_derived_cl17]) ).
thf(zip_derived_cl0_038,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_039,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_cl790_040,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl789]) ).
thf(zip_derived_cl1006,plain,
! [X0: $i,X1: $i,X2: $i] : ( leq @ X0 @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl790]) ).
thf(zip_derived_cl1601,plain,
! [X0: $i,X1: $i,X2: $i] : ( leq @ X1 @ ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1006]) ).
thf(zip_derived_cl3464,plain,
! [X0: $i,X1: $i,X2: $i] : ( leq @ X0 @ ( addition @ X2 @ ( multiplication @ ( strong_iteration @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1243,zip_derived_cl1601]) ).
thf(zip_derived_cl0_041,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl15_042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
| ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[infty_coinduction]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ X0 @ ( addition @ X2 @ ( multiplication @ X1 @ X0 ) ) )
| ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).
thf(zip_derived_cl5294,plain,
! [X0: $i,X1: $i,X2: $i] : ( leq @ X0 @ ( multiplication @ ( strong_iteration @ ( strong_iteration @ X1 ) ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3464,zip_derived_cl128]) ).
thf(zip_derived_cl5453,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( strong_iteration @ ( strong_iteration @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl5294]) ).
thf(zip_derived_cl5461,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl573,zip_derived_cl5453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : KLE142+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cI68INW4Z5 true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 11:22:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.56/1.24 % Solved by fo/fo7.sh.
% 4.56/1.24 % done 1393 iterations in 0.484s
% 4.56/1.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.56/1.24 % SZS output start Refutation
% See solution above
% 4.56/1.24
% 4.56/1.24
% 4.56/1.24 % Terminating...
% 5.20/1.34 % Runner terminated.
% 5.20/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------