%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE139+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NAJtBGUdwG true
% Computer : n015.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 Oct 2 04:40:20 PM UTC 2025
% Result : Theorem 21.79s 5.92s
% Output : Refutation 21.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 23 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 161 ( 4 ~; 0 |; 0 &; 157 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% 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(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] :
( ( strong_iteration @ X0 )
= ( addition @ ( multiplication @ ( strong_iteration @ X0 ) @ X0 ) @ one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( multiplication @ ( strong_iteration @ X0 ) @ X0 ) @ one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ( strong_iteration @ sk_ )
!= ( addition @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl37,plain,
( ( strong_iteration @ sk_ )
!= ( addition @ one @ ( multiplication @ ( strong_iteration @ sk_ ) @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).
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_cl219,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(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(zip_derived_cl221,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_cl219,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_cl122,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_001,plain,
! [X0: $i] :
( ( strong_iteration @ X0 )
= ( addition @ ( star @ X0 ) @ ( multiplication @ ( strong_iteration @ X0 ) @ zero ) ) ),
inference(cnf,[status(esa)],[isolation]) ).
thf(zip_derived_cl11763,plain,
( ( strong_iteration @ sk_ )
!= ( strong_iteration @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl221,zip_derived_cl122,zip_derived_cl16]) ).
thf(zip_derived_cl11764,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl11763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16 % Problem : KLE139+1 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NAJtBGUdwG true
% 0.09/0.42 % Computer : n015.cluster.edu
% 0.09/0.42 % Model : x86_64 x86_64
% 0.09/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.42 % Memory : 8042.1875MB
% 0.09/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.42 % CPULimit : 300
% 0.09/0.42 % WCLimit : 300
% 0.09/0.42 % DateTime : Wed Oct 1 13:57:23 EDT 2025
% 0.09/0.43 % CPUTime :
% 0.09/0.43 % Running portfolio for 300 s
% 0.09/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43 % Number of cores: 8
% 0.09/0.44 % Python version: Python 3.6.8
% 0.09/0.44 % Running in FO mode
% 0.39/0.77 % Total configuration time : 435
% 0.39/0.77 % Estimated wc time : 1092
% 0.39/0.77 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/1.05 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/1.07 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/1.08 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 21.79/5.92 % Solved by fo/fo3_bce.sh.
% 21.79/5.92 % BCE start: 20
% 21.79/5.92 % BCE eliminated: 0
% 21.79/5.92 % PE start: 20
% 21.79/5.92 logic: eq
% 21.79/5.92 % PE eliminated: 0
% 21.79/5.92 % done 973 iterations in 4.896s
% 21.79/5.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.79/5.92 % SZS output start Refutation
% See solution above
% 21.79/5.92
% 21.79/5.92
% 21.79/5.92 % Terminating...
% 22.04/6.08 % Runner terminated.
% 22.04/6.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------