TSTP Solution File: KLE144+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE144+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.FYncSmtYLg 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 05:38:48 EDT 2023
% Result : Theorem 7.17s 1.65s
% Output : Refutation 7.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 37 unt; 7 typ; 0 def)
% Number of atoms : 79 ( 37 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 372 ( 20 ~; 17 |; 2 &; 331 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 0 ^; 91 !; 0 ?; 91 :)
% 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(sk__type,type,
sk_: $i ).
thf(goals,conjecture,
! [X0: $i] :
( ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( star @ X0 ) ) )
& ( leq @ ( strong_iteration @ ( star @ X0 ) ) @ ( strong_iteration @ one ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( star @ X0 ) ) )
& ( leq @ ( strong_iteration @ ( star @ X0 ) ) @ ( strong_iteration @ one ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ~ ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( star @ sk_ ) ) )
| ~ ( leq @ ( strong_iteration @ ( star @ sk_ ) ) @ ( strong_iteration @ one ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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(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_cl181,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ ( strong_iteration @ X0 ) )
| ~ ( leq @ X1 @ ( addition @ ( multiplication @ X0 @ X1 ) @ one ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl15]) ).
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_cl193,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ ( strong_iteration @ X0 ) )
| ~ ( leq @ X1 @ ( addition @ one @ ( multiplication @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl0]) ).
thf(zip_derived_cl3381,plain,
! [X0: $i] :
( ( leq @ X0 @ ( strong_iteration @ one ) )
| ~ ( leq @ X0 @ ( addition @ one @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl193]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
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_cl31,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
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(zip_derived_cl565,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ ( addition @ X1 @ X0 ) )
| ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).
thf(zip_derived_cl608,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl565]) ).
thf(zip_derived_cl632,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl608]) ).
thf(zip_derived_cl3392,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl3381,zip_derived_cl632]) ).
thf(zip_derived_cl3503,plain,
~ ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( star @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl3392]) ).
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_cl31_002,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl600,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
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_cl18_003,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ X2 @ X0 ) @ ( multiplication @ X1 @ X0 ) )
| ( ( multiplication @ ( addition @ X2 @ X1 ) @ X0 )
!= ( multiplication @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl18]) ).
thf(zip_derived_cl2234,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ one @ X1 ) @ ( multiplication @ ( star @ X0 ) @ X1 ) )
| ( ( multiplication @ ( star @ X0 ) @ X1 )
!= ( multiplication @ ( star @ X0 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl113]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl2275,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ ( multiplication @ ( star @ X0 ) @ X1 ) )
| ( ( multiplication @ ( star @ X0 ) @ X1 )
!= ( multiplication @ ( star @ X0 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2234,zip_derived_cl6]) ).
thf(zip_derived_cl2276,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ ( star @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2275]) ).
thf(zip_derived_cl3392_005,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl3381,zip_derived_cl632]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl3505,plain,
! [X0: $i] :
( ( addition @ X0 @ ( strong_iteration @ one ) )
= ( strong_iteration @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3392,zip_derived_cl17]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl3542,plain,
! [X0: $i] :
( ( addition @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3505,zip_derived_cl0]) ).
thf(zip_derived_cl17_007,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl3765,plain,
! [X0: $i] :
( ( ( strong_iteration @ one )
= X0 )
| ~ ( leq @ ( strong_iteration @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3542,zip_derived_cl17]) ).
thf(zip_derived_cl4061,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( multiplication @ ( star @ X0 ) @ ( strong_iteration @ one ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2276,zip_derived_cl3765]) ).
thf(zip_derived_cl193_008,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ ( strong_iteration @ X0 ) )
| ~ ( leq @ X1 @ ( addition @ one @ ( multiplication @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl0]) ).
thf(zip_derived_cl5335,plain,
! [X0: $i] :
( ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( star @ X0 ) ) )
| ~ ( leq @ ( strong_iteration @ one ) @ ( addition @ one @ ( strong_iteration @ one ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4061,zip_derived_cl193]) ).
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_cl632_009,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl608]) ).
thf(zip_derived_cl669,plain,
! [X0: $i] : ( leq @ one @ ( strong_iteration @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl632]) ).
thf(zip_derived_cl17_010,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl678,plain,
! [X0: $i] :
( ( addition @ one @ ( strong_iteration @ X0 ) )
= ( strong_iteration @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl17]) ).
thf(zip_derived_cl3392_011,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl3381,zip_derived_cl632]) ).
thf(zip_derived_cl5399,plain,
! [X0: $i] : ( leq @ ( strong_iteration @ one ) @ ( strong_iteration @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5335,zip_derived_cl678,zip_derived_cl3392]) ).
thf(zip_derived_cl5512,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3503,zip_derived_cl5399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE144+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FYncSmtYLg true
% 0.14/0.35 % Computer : n026.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:25:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/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
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.81/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.81/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.81/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.17/1.65 % Solved by fo/fo13.sh.
% 7.17/1.65 % done 698 iterations in 0.851s
% 7.17/1.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.17/1.65 % SZS output start Refutation
% See solution above
% 7.17/1.65
% 7.17/1.65
% 7.17/1.65 % Terminating...
% 7.65/1.70 % Runner terminated.
% 7.65/1.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------