%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE146+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qI0xvErGIB true
% Computer : n010.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 04:40:22 PM UTC 2025
% Result : Theorem 0.50s 2.39s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 100 ( 5 ~; 1 |; 0 &; 93 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $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(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(goals,conjecture,
! [X0: $i] : ( leq @ one @ ( strong_iteration @ X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] : ( leq @ one @ ( strong_iteration @ X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
~ ( leq @ one @ ( strong_iteration @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
( ( addition @ one @ ( strong_iteration @ sk_ ) )
!= ( strong_iteration @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl19]) ).
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(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_cl48,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) )
= ( strong_iteration @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl0]) ).
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_cl61,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_cl279,plain,
! [X0: $i] :
( ( addition @ one @ ( strong_iteration @ X0 ) )
= ( addition @ one @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl61]) ).
thf(zip_derived_cl48_001,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ X0 @ ( strong_iteration @ X0 ) ) )
= ( strong_iteration @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl0]) ).
thf(zip_derived_cl292,plain,
! [X0: $i] :
( ( addition @ one @ ( strong_iteration @ X0 ) )
= ( strong_iteration @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl279,zip_derived_cl48]) ).
thf(zip_derived_cl305,plain,
( ( strong_iteration @ sk_ )
!= ( strong_iteration @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl292]) ).
thf(zip_derived_cl306,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.92 % Problem : KLE146+1 : TPTP v9.2.0. Released v4.0.0.
% 0.10/1.02 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qI0xvErGIB true
% 0.12/1.42 % Computer : n010.cluster.edu
% 0.12/1.42 % Model : x86_64 x86_64
% 0.12/1.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.42 % Memory : 8042.1875MB
% 0.12/1.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.42 % CPULimit : 300
% 0.12/1.42 % WCLimit : 300
% 0.12/1.42 % DateTime : Wed Oct 1 14:01:09 EDT 2025
% 0.12/1.44 % CPUTime :
% 0.12/1.44 % Running portfolio for 300 s
% 0.12/1.44 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/1.45 % Number of cores: 8
% 0.12/1.47 % Python version: Python 3.6.8
% 0.12/1.48 % Running in FO mode
% 0.35/1.94 % Total configuration time : 435
% 0.35/1.94 % Estimated wc time : 1092
% 0.35/1.94 % Estimated cpu time (7 cpus) : 156.0
% 0.47/2.18 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/2.27 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/2.28 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/2.29 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/2.31 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/2.33 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/2.33 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/2.39 % Solved by fo/fo3_bce.sh.
% 0.50/2.39 % BCE start: 20
% 0.50/2.39 % BCE eliminated: 0
% 0.50/2.39 % PE start: 20
% 0.50/2.39 logic: eq
% 0.50/2.39 % PE eliminated: 0
% 0.50/2.39 % done 55 iterations in 0.092s
% 0.50/2.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/2.39 % SZS output start Refutation
% See solution above
% 0.50/2.39
% 0.50/2.39
% 0.50/2.39 % Terminating...
% 1.27/2.61 % Runner terminated.
% 1.27/2.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------