TSTP Solution File: KLE141+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE141+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.5euQwYl45y true
% Computer : n013.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 5.87s 1.47s
% Output : Refutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 107 ( 69 unt; 8 typ; 0 def)
% Number of atoms : 129 ( 73 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 542 ( 30 ~; 27 |; 0 &; 482 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 118 ( 0 ^; 118 !; 0 ?; 118 :)
% 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] :
( ( multiplication @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( multiplication @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ( multiplication @ ( strong_iteration @ one ) @ sk_ )
!= ( strong_iteration @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
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(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_cl106,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( multiplication @ X1 @ X0 ) )
| ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).
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(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_cl133,plain,
( ( addition @ one @ ( star @ one ) )
= ( star @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
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(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_cl5_001,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_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_cl79,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ one )
| ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).
thf(zip_derived_cl2811,plain,
! [X0: $i] :
( ( leq @ ( star @ X0 ) @ one )
| ~ ( leq @ ( addition @ X0 @ one ) @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl79]) ).
thf(zip_derived_cl3136,plain,
( ~ ( leq @ one @ one )
| ( leq @ ( star @ one ) @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2811]) ).
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(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_cl46,plain,
( ( strong_iteration @ zero )
= ( addition @ zero @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl14]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
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_cl23,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl48,plain,
( ( strong_iteration @ zero )
= one ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl23]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) )
= ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold1]) ).
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_cl15_005,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_cl103,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_cl290,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ one ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl103]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl298,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl5]) ).
thf(zip_derived_cl304,plain,
! [X0: $i] :
( ( ( addition @ ( star @ X0 ) @ ( star @ X0 ) )
!= ( star @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl298]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
thf(zip_derived_cl307,plain,
! [X0: $i] :
( ( ( star @ X0 )
!= ( star @ X0 ) )
| ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl3]) ).
thf(zip_derived_cl308,plain,
! [X0: $i] : ( leq @ ( star @ X0 ) @ ( strong_iteration @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl307]) ).
thf(zip_derived_cl437,plain,
leq @ ( star @ zero ) @ one,
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl308]) ).
thf(zip_derived_cl9_008,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl10_009,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) )
= ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold1]) ).
thf(zip_derived_cl131,plain,
( ( addition @ one @ zero )
= ( star @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl2_010,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl134,plain,
( one
= ( star @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl2]) ).
thf(zip_derived_cl439,plain,
leq @ one @ one,
inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl134]) ).
thf(zip_derived_cl3150,plain,
leq @ ( star @ one ) @ one,
inference(demod,[status(thm)],[zip_derived_cl3136,zip_derived_cl439]) ).
thf(zip_derived_cl17_011,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl3184,plain,
( ( addition @ ( star @ one ) @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl3150,zip_derived_cl17]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl3189,plain,
( ( addition @ one @ ( star @ one ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl3184,zip_derived_cl0]) ).
thf(zip_derived_cl3224,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl3189]) ).
thf(isolation,axiom,
! [A: $i] :
( ( strong_iteration @ A )
= ( addition @ ( star @ A ) @ ( multiplication @ ( strong_iteration @ A ) @ zero ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ X0 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(cnf,[status(esa)],[isolation]) ).
thf(zip_derived_cl3267,plain,
( ( strong_iteration @ one )
= ( addition @ one @ ( multiplication @ ( strong_iteration @ one ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3224,zip_derived_cl16]) ).
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_cl6_014,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl12_015,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_cl81,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_cl3224_016,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl3189]) ).
thf(zip_derived_cl6_017,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl3247,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl3224,zip_derived_cl6]) ).
thf(zip_derived_cl3370,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3247]) ).
thf(zip_derived_cl3639,plain,
( ~ ( leq @ ( strong_iteration @ one ) @ ( multiplication @ ( strong_iteration @ one ) @ zero ) )
| ( leq @ one @ ( multiplication @ ( strong_iteration @ one ) @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3267,zip_derived_cl3370]) ).
thf(zip_derived_cl4568,plain,
( ~ ( leq @ ( strong_iteration @ one ) @ ( multiplication @ one @ ( strong_iteration @ one ) ) )
| ( leq @ one @ ( multiplication @ ( strong_iteration @ one ) @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl3639]) ).
thf(zip_derived_cl6_018,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl3_019,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_cl35,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_cl18_020,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl3247_021,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl3224,zip_derived_cl6]) ).
thf(zip_derived_cl3368,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( addition @ X0 @ X1 ) @ X0 )
!= X0 )
| ( leq @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl3247]) ).
thf(zip_derived_cl1_022,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_cl3403,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
!= X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3368,zip_derived_cl1]) ).
thf(zip_derived_cl3453,plain,
! [X0: $i] :
( ( ( addition @ X0 @ X0 )
!= X0 )
| ( leq @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl3403]) ).
thf(zip_derived_cl3_023,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
thf(zip_derived_cl3497,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( leq @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3453,zip_derived_cl3]) ).
thf(zip_derived_cl3498,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl3497]) ).
thf(zip_derived_cl4573,plain,
leq @ one @ ( multiplication @ ( strong_iteration @ one ) @ zero ),
inference(demod,[status(thm)],[zip_derived_cl4568,zip_derived_cl6,zip_derived_cl3498]) ).
thf(zip_derived_cl4580,plain,
( ( addition @ one @ ( multiplication @ ( strong_iteration @ one ) @ zero ) )
= ( multiplication @ ( strong_iteration @ one ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl4573]) ).
thf(zip_derived_cl3267_024,plain,
( ( strong_iteration @ one )
= ( addition @ one @ ( multiplication @ ( strong_iteration @ one ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3224,zip_derived_cl16]) ).
thf(zip_derived_cl4581,plain,
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ one ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl4580,zip_derived_cl3267]) ).
thf(multiplicative_associativity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( multiplication @ B @ C ) )
= ( multiplication @ ( multiplication @ A @ B ) @ C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
thf(zip_derived_cl4592,plain,
! [X0: $i] :
( ( multiplication @ ( strong_iteration @ one ) @ ( multiplication @ zero @ X0 ) )
= ( multiplication @ ( strong_iteration @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4581,zip_derived_cl4]) ).
thf(zip_derived_cl9_025,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl4581_026,plain,
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ one ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl4580,zip_derived_cl3267]) ).
thf(zip_derived_cl4611,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4592,zip_derived_cl9,zip_derived_cl4581]) ).
thf(zip_derived_cl4636,plain,
( ( strong_iteration @ one )
!= ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl4611]) ).
thf(zip_derived_cl4637,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE141+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5euQwYl45y true
% 0.14/0.35 % Computer : n013.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 11:52:01 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.70 % Total configuration time : 435
% 0.21/0.70 % Estimated wc time : 1092
% 0.21/0.70 % Estimated cpu time (7 cpus) : 156.0
% 1.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.49/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.87/1.47 % Solved by fo/fo4.sh.
% 5.87/1.47 % done 708 iterations in 0.595s
% 5.87/1.47 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.87/1.47 % SZS output start Refutation
% See solution above
% 5.87/1.48
% 5.87/1.48
% 5.87/1.48 % Terminating...
% 5.87/1.52 % Runner terminated.
% 5.87/1.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------