%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE065+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.xHcXC5sPLU true
% Computer : n011.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 04:40:13 PM UTC 2025
% Result : Theorem 0.98s 0.91s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 136 ( 2 ~; 0 |; 0 &; 132 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( multiplication @ X0 @ X1 )
= zero )
=> ( ( multiplication @ X0 @ ( domain @ X1 ) )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( multiplication @ X0 @ X1 )
= zero )
=> ( ( multiplication @ X0 @ ( domain @ X1 ) )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl18,plain,
( ( multiplication @ sk_ @ sk__1 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(domain2,axiom,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(domain1,axiom,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( multiplication @ X1 @ ( domain @ X0 ) ) @ ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
= ( multiplication @ ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( multiplication @ X1 @ ( domain @ X0 ) ) @ ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
= ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl14]) ).
thf(zip_derived_cl1183,plain,
( ( addition @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) @ ( multiplication @ ( domain @ zero ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) ) )
= ( multiplication @ ( domain @ ( multiplication @ sk_ @ sk__1 ) ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl72]) ).
thf(domain4,axiom,
( ( domain @ zero )
= zero ) ).
thf(zip_derived_cl16,plain,
( ( domain @ zero )
= zero ),
inference(cnf,[status(esa)],[domain4]) ).
thf(left_annihilation,axiom,
! [A: $i] :
( ( multiplication @ zero @ A )
= zero ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
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_cl18_002,plain,
( ( multiplication @ sk_ @ sk__1 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_003,plain,
( ( domain @ zero )
= zero ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl1234,plain,
( ( multiplication @ sk_ @ ( domain @ sk__1 ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl1183,zip_derived_cl16,zip_derived_cl10,zip_derived_cl2,zip_derived_cl18,zip_derived_cl16,zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
( ( multiplication @ sk_ @ ( domain @ sk__1 ) )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1235,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1234,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : KLE065+1 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xHcXC5sPLU true
% 0.09/0.30 % Computer : n011.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 14:01:08 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.49/0.56 % Total configuration time : 435
% 0.49/0.56 % Estimated wc time : 1092
% 0.49/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.98/0.91 % Solved by fo/fo5.sh.
% 0.98/0.91 % done 190 iterations in 0.221s
% 0.98/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.98/0.91 % SZS output start Refutation
% See solution above
% 0.98/0.91
% 0.98/0.91
% 0.98/0.91 % Terminating...
% 1.03/0.99 % Runner terminated.
% 1.03/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------