TSTP Solution File: KLE139+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE139+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nfeoiWX26R true
% Computer : n026.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 05:38:46 EDT 2023
% Result : Theorem 12.47s 2.36s
% Output : Refutation 12.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 67 ( 43 unt; 8 typ; 0 def)
% Number of atoms : 75 ( 54 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 448 ( 18 ~; 12 |; 2 &; 414 @)
% ( 1 <=>; 1 =>; 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 : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% 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(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_cl125,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_cl128,plain,
( one
= ( star @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl2]) ).
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(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_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ ( addition @ ( multiplication @ X2 @ X0 ) @ X1 ) @ X0 )
!= X0 )
| ( leq @ ( multiplication @ ( star @ X2 ) @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl12]) ).
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_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ X0 @ ( addition @ ( multiplication @ X2 @ X0 ) @ X1 ) )
!= X0 )
| ( leq @ ( multiplication @ ( star @ X2 ) @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl0]) ).
thf(zip_derived_cl764,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ one @ X1 ) @ X0 )
| ( ( addition @ X0 @ ( addition @ ( multiplication @ zero @ X0 ) @ X1 ) )
!= X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl56]) ).
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_cl9_001,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
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_cl41,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl768,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ X0 )
| ( ( addition @ X0 @ X1 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl764,zip_derived_cl6,zip_derived_cl9,zip_derived_cl41]) ).
thf(goals,conjecture,
! [X0: $i] :
( ( leq @ ( addition @ ( multiplication @ ( strong_iteration @ X0 ) @ X0 ) @ one ) @ ( strong_iteration @ X0 ) )
& ( leq @ ( strong_iteration @ X0 ) @ ( addition @ ( multiplication @ ( strong_iteration @ X0 ) @ X0 ) @ one ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( leq @ ( addition @ ( multiplication @ ( strong_iteration @ X0 ) @ X0 ) @ one ) @ ( strong_iteration @ X0 ) )
& ( leq @ ( strong_iteration @ X0 ) @ ( addition @ ( multiplication @ ( strong_iteration @ X0 ) @ X0 ) @ one ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ~ ( leq @ ( addition @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) @ one ) @ ( strong_iteration @ sk_ ) )
| ~ ( leq @ ( strong_iteration @ sk_ ) @ ( addition @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) @ one ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl214,plain,
( ~ ( leq @ ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) @ ( strong_iteration @ sk_ ) )
| ~ ( leq @ ( strong_iteration @ sk_ ) @ ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl783,plain,
( ( ( addition @ ( strong_iteration @ sk_ ) @ ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) )
!= ( strong_iteration @ sk_ ) )
| ~ ( leq @ ( strong_iteration @ sk_ ) @ ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl214]) ).
thf(zip_derived_cl18_006,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl805,plain,
( ( ( addition @ ( strong_iteration @ sk_ ) @ ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) )
!= ( strong_iteration @ sk_ ) )
| ( ( addition @ ( strong_iteration @ sk_ ) @ ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) )
!= ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl783,zip_derived_cl18]) ).
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(distributivity2,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ ( addition @ A @ B ) @ C )
= ( addition @ ( multiplication @ A @ C ) @ ( multiplication @ B @ C ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( addition @ X0 @ X2 ) @ X1 )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[distributivity2]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ X0 ) @ X1 )
= ( addition @ ( multiplication @ ( star @ X0 ) @ X1 ) @ ( multiplication @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl8]) ).
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_cl9_007,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ X0 ) @ X1 )
= ( addition @ ( multiplication @ ( star @ X0 ) @ X1 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl4,zip_derived_cl9]) ).
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(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_cl129,plain,
! [X0: $i,X1: $i] :
( ( addition @ one @ ( addition @ ( multiplication @ ( star @ X0 ) @ X0 ) @ X1 ) )
= ( addition @ ( star @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl16_008,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ X0 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(cnf,[status(esa)],[isolation]) ).
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(zip_derived_cl206_009,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ X0 ) @ X1 )
= ( addition @ ( multiplication @ ( star @ X0 ) @ X1 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl129_010,plain,
! [X0: $i,X1: $i] :
( ( addition @ one @ ( addition @ ( multiplication @ ( star @ X0 ) @ X0 ) @ X1 ) )
= ( addition @ ( star @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl16_011,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ X0 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(cnf,[status(esa)],[isolation]) ).
thf(zip_derived_cl3_012,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
thf(zip_derived_cl206_013,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ X0 ) @ X1 )
= ( addition @ ( multiplication @ ( star @ X0 ) @ X1 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl129_014,plain,
! [X0: $i,X1: $i] :
( ( addition @ one @ ( addition @ ( multiplication @ ( star @ X0 ) @ X0 ) @ X1 ) )
= ( addition @ ( star @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl16_015,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ X0 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(cnf,[status(esa)],[isolation]) ).
thf(zip_derived_cl10107,plain,
( ( ( strong_iteration @ sk_ )
!= ( strong_iteration @ sk_ ) )
| ( ( strong_iteration @ sk_ )
!= ( strong_iteration @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl805,zip_derived_cl206,zip_derived_cl129,zip_derived_cl16,zip_derived_cl3,zip_derived_cl206,zip_derived_cl129,zip_derived_cl16,zip_derived_cl3,zip_derived_cl206,zip_derived_cl129,zip_derived_cl16]) ).
thf(zip_derived_cl10108,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl10107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE139+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nfeoiWX26R true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 12:05:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.47/2.36 % Solved by fo/fo3_bce.sh.
% 12.47/2.36 % BCE start: 20
% 12.47/2.36 % BCE eliminated: 0
% 12.47/2.36 % PE start: 20
% 12.47/2.36 logic: eq
% 12.47/2.36 % PE eliminated: 0
% 12.47/2.36 % done 874 iterations in 1.646s
% 12.47/2.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.47/2.36 % SZS output start Refutation
% See solution above
% 12.47/2.36
% 12.47/2.36
% 12.47/2.36 % Terminating...
% 12.47/2.43 % Runner terminated.
% 12.47/2.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------