%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE072+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.cgCm4kp8l9 true
% Computer : n006.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 04:40:14 PM UTC 2025
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 140 ( 4 ~; 0 |; 0 &; 136 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( domain @ ( multiplication @ ( addition @ X0 @ X1 ) @ ( domain @ X2 ) ) )
= ( addition @ ( domain @ ( multiplication @ X0 @ ( domain @ X2 ) ) ) @ ( domain @ ( multiplication @ X1 @ ( domain @ X2 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( domain @ ( multiplication @ ( addition @ X0 @ X1 ) @ ( domain @ X2 ) ) )
= ( addition @ ( domain @ ( multiplication @ X0 @ ( domain @ X2 ) ) ) @ ( domain @ ( multiplication @ X1 @ ( domain @ X2 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl18,plain,
( ( domain @ ( multiplication @ ( addition @ sk_ @ sk__1 ) @ ( domain @ sk__2 ) ) )
!= ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ sk__2 ) ) ) @ ( domain @ ( multiplication @ sk__1 @ ( domain @ sk__2 ) ) ) ) ),
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(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_cl14_002,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(domain5,axiom,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl120,plain,
( ( domain @ ( multiplication @ ( addition @ sk_ @ sk__1 ) @ sk__2 ) )
!= ( domain @ ( addition @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl14,zip_derived_cl14,zip_derived_cl14,zip_derived_cl17]) ).
thf(left_distributivity,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)],[left_distributivity]) ).
thf(zip_derived_cl137,plain,
( ( domain @ ( addition @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) ) )
!= ( domain @ ( addition @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl8]) ).
thf(zip_derived_cl138,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE072+1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cgCm4kp8l9 true
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:57:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % Solved by fo/fo3_bce.sh.
% 0.55/0.73 % BCE start: 19
% 0.55/0.73 % BCE eliminated: 2
% 0.55/0.73 % PE start: 17
% 0.55/0.73 logic: eq
% 0.55/0.73 % PE eliminated: 0
% 0.55/0.73 % done 21 iterations in 0.018s
% 0.55/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.73 % SZS output start Refutation
% See solution above
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 % Terminating...
% 0.61/0.85 % Runner terminated.
% 0.61/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------