%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE063+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.Z61S3loBEf 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 Oct 2 04:40:13 PM UTC 2025
% Result : Theorem 0.43s 1.00s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 62 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 65 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 347 ( 3 ~; 0 |; 0 &; 342 @)
% ( 0 <=>; 2 =>; 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 : 91 ( 0 ^; 91 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(one_type,type,
one: $i ).
thf(sk__type,type,
sk_: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) )
=> ( ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) )
= ( domain @ X1 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) )
=> ( ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) )
= ( domain @ X1 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl18,plain,
( ( addition @ sk_ @ ( multiplication @ ( domain @ sk__1 ) @ sk_ ) )
= ( multiplication @ ( domain @ sk__1 ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(domain3,axiom,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(cnf,[status(esa)],[domain3]) ).
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_cl58,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
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(right_distributivity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( addition @ B @ C ) )
= ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[right_distributivity]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ one @ X1 ) )
= ( addition @ X0 @ ( multiplication @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl794,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X1 @ one )
= ( addition @ X1 @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl58,zip_derived_cl72]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl802,plain,
! [X0: $i,X1: $i] :
( X1
= ( addition @ X1 @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl794,zip_derived_cl5]) ).
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(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_cl119,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ one @ X1 ) @ X0 )
= ( addition @ X0 @ ( multiplication @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).
thf(zip_derived_cl1706,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ one @ X0 )
= ( addition @ X0 @ ( multiplication @ ( multiplication @ one @ ( domain @ X1 ) ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl802,zip_derived_cl119]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl1717,plain,
! [X0: $i,X1: $i] :
( X0
= ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1706,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl1818,plain,
( sk_
= ( multiplication @ ( domain @ sk__1 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl1717]) ).
thf(zip_derived_cl72_004,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ one @ X1 ) )
= ( addition @ X0 @ ( multiplication @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
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_cl135,plain,
( ( addition @ one @ ( domain @ one ) )
= ( domain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl58_006,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl139,plain,
( one
= ( domain @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl58]) ).
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_cl161,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= ( addition @ one @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl139,zip_derived_cl17]) ).
thf(zip_derived_cl58_007,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl58]) ).
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_cl217,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X1 @ ( addition @ one @ X0 ) ) )
= ( domain @ ( multiplication @ X1 @ one ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl14]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X1 @ ( addition @ one @ X0 ) ) )
= ( domain @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl5]) ).
thf(zip_derived_cl785,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X1 @ ( multiplication @ X1 @ X0 ) ) )
= ( domain @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl230]) ).
thf(zip_derived_cl1914,plain,
( ( domain @ ( addition @ ( domain @ sk__1 ) @ sk_ ) )
= ( domain @ ( domain @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1818,zip_derived_cl785]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl6_011,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl14_012,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( domain @ ( multiplication @ one @ X0 ) )
= ( domain @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).
thf(zip_derived_cl6_013,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl6]) ).
thf(zip_derived_cl17_014,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl151,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ ( domain @ X0 ) @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl17]) ).
thf(zip_derived_cl17_015,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ ( domain @ X0 ) @ X1 ) )
= ( domain @ ( addition @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl17]) ).
thf(zip_derived_cl525,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X1 @ ( domain @ X0 ) ) )
= ( domain @ ( addition @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl157]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl94_017,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl6]) ).
thf(zip_derived_cl1920,plain,
( ( domain @ ( addition @ sk_ @ sk__1 ) )
= ( domain @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1914,zip_derived_cl0,zip_derived_cl525,zip_derived_cl0,zip_derived_cl94]) ).
thf(zip_derived_cl19,plain,
( ( addition @ ( domain @ sk_ ) @ ( domain @ sk__1 ) )
!= ( domain @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_018,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl141,plain,
( ( domain @ ( addition @ sk_ @ sk__1 ) )
!= ( domain @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl17]) ).
thf(zip_derived_cl1921,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1920,zip_derived_cl141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KLE063+1 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z61S3loBEf true
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Oct 1 14:01:23 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in FO mode
% 0.42/0.54 % Total configuration time : 435
% 0.42/0.54 % Estimated wc time : 1092
% 0.42/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/1.00 % Solved by fo/fo6_bce.sh.
% 0.43/1.00 % BCE start: 20
% 0.43/1.00 % BCE eliminated: 2
% 0.43/1.00 % PE start: 18
% 0.43/1.00 logic: eq
% 0.43/1.00 % PE eliminated: 0
% 0.43/1.00 % done 295 iterations in 0.360s
% 0.43/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/1.00 % SZS output start Refutation
% See solution above
% 0.43/1.01
% 0.43/1.01
% 0.43/1.01 % Terminating...
% 1.70/1.06 % Runner terminated.
% 1.70/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------