TSTP Solution File: KLE064+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE064+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fl8zhJ54Kx true
% Computer : n019.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 Aug 31 05:38:32 EDT 2023
% Result : Theorem 44.50s 6.93s
% Output : Refutation 44.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 78 ( 70 unt; 6 typ; 0 def)
% Number of atoms : 74 ( 73 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 415 ( 3 ~; 0 |; 0 &; 410 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 99 ( 0 ^; 99 !; 0 ?; 99 :)
% 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(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(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(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_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
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(zip_derived_cl1_001,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_cl39,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( addition @ one @ X0 ) )
= ( addition @ one @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl1]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) )
= ( domain @ X1 ) )
=> ( ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) )
= ( domain @ X1 ) )
=> ( ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl18,plain,
( ( addition @ ( domain @ sk_ ) @ ( domain @ sk__1 ) )
= ( domain @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl79,plain,
( ( domain @ ( addition @ sk_ @ sk__1 ) )
= ( domain @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl17]) ).
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(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_cl66,plain,
! [X0: $i] :
( ( domain @ ( multiplication @ one @ X0 ) )
= ( domain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl6]) ).
thf(zip_derived_cl17_003,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) )
= ( domain @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl608,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( domain @ X0 ) )
= ( domain @ ( addition @ ( domain @ X0 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl75]) ).
thf(zip_derived_cl918,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( domain @ sk__1 ) )
= ( domain @ ( addition @ ( domain @ ( addition @ sk_ @ sk__1 ) ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl608]) ).
thf(zip_derived_cl75_005,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) )
= ( domain @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl79_006,plain,
( ( domain @ ( addition @ sk_ @ sk__1 ) )
= ( domain @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl17]) ).
thf(zip_derived_cl988,plain,
! [X0: $i] :
( ( domain @ ( addition @ sk__1 @ X0 ) )
= ( domain @ ( addition @ ( domain @ sk__1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl918,zip_derived_cl75,zip_derived_cl79]) ).
thf(zip_derived_cl1165,plain,
! [X0: $i] :
( ( domain @ ( addition @ sk__1 @ ( addition @ one @ X0 ) ) )
= ( domain @ ( addition @ one @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl988]) ).
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(zip_derived_cl13_007,plain,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl99,plain,
( ( addition @ one @ ( domain @ one ) )
= ( multiplication @ ( domain @ one ) @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl104,plain,
( ( addition @ one @ ( domain @ one ) )
= ( domain @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl5]) ).
thf(zip_derived_cl15_009,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(cnf,[status(esa)],[domain3]) ).
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_cl26,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl233,plain,
( one
= ( domain @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl26]) ).
thf(zip_derived_cl17_011,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= ( addition @ one @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl17]) ).
thf(zip_derived_cl26_012,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl242,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl26]) ).
thf(zip_derived_cl1175,plain,
! [X0: $i] :
( ( domain @ ( addition @ sk__1 @ ( addition @ one @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1165,zip_derived_cl242]) ).
thf(zip_derived_cl1751,plain,
! [X0: $i] :
( ( domain @ ( addition @ X0 @ ( addition @ sk__1 @ one ) ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl1175]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1767,plain,
! [X0: $i] :
( ( domain @ ( addition @ X0 @ ( addition @ one @ sk__1 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1751,zip_derived_cl0]) ).
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(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_cl171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ X2 )
= ( addition @ ( multiplication @ ( domain @ X1 ) @ X2 ) @ ( multiplication @ ( domain @ X0 ) @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).
thf(zip_derived_cl9597,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ one @ X0 )
= ( addition @ ( multiplication @ ( domain @ X1 ) @ X0 ) @ ( multiplication @ ( domain @ ( addition @ one @ sk__1 ) ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1767,zip_derived_cl171]) ).
thf(zip_derived_cl6_015,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl242_016,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl26]) ).
thf(zip_derived_cl6_017,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl0_018,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl9674,plain,
! [X0: $i,X1: $i] :
( X0
= ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9597,zip_derived_cl6,zip_derived_cl242,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl9767,plain,
! [X0: $i] :
( X0
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl9674]) ).
thf(zip_derived_cl18_019,plain,
( ( addition @ ( domain @ sk_ ) @ ( domain @ sk__1 ) )
= ( domain @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_020,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_cl172,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ sk__1 ) @ X0 )
= ( addition @ ( multiplication @ ( domain @ sk_ ) @ X0 ) @ ( multiplication @ ( domain @ sk__1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).
thf(zip_derived_cl10061,plain,
( ( multiplication @ ( domain @ sk__1 ) @ sk_ )
= ( addition @ sk_ @ ( multiplication @ ( domain @ sk__1 ) @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9767,zip_derived_cl172]) ).
thf(zip_derived_cl9674_021,plain,
! [X0: $i,X1: $i] :
( X0
= ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9597,zip_derived_cl6,zip_derived_cl242,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl10078,plain,
( ( multiplication @ ( domain @ sk__1 ) @ sk_ )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl10061,zip_derived_cl9674]) ).
thf(zip_derived_cl19,plain,
( ( addition @ sk_ @ ( multiplication @ ( domain @ sk__1 ) @ sk_ ) )
!= ( multiplication @ ( domain @ sk__1 ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9674_022,plain,
! [X0: $i,X1: $i] :
( X0
= ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9597,zip_derived_cl6,zip_derived_cl242,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl9768,plain,
( sk_
!= ( multiplication @ ( domain @ sk__1 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl9674]) ).
thf(zip_derived_cl10079,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10078,zip_derived_cl9768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE064+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fl8zhJ54Kx true
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 11:25:13 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.16/0.33 % Python version: Python 3.6.8
% 0.16/0.34 % Running in FO mode
% 0.17/0.57 % Total configuration time : 435
% 0.17/0.57 % Estimated wc time : 1092
% 0.17/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 44.50/6.93 % Solved by fo/fo3_bce.sh.
% 44.50/6.93 % BCE start: 20
% 44.50/6.93 % BCE eliminated: 2
% 44.50/6.93 % PE start: 18
% 44.50/6.93 logic: eq
% 44.50/6.93 % PE eliminated: 0
% 44.50/6.93 % done 544 iterations in 6.208s
% 44.50/6.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 44.50/6.93 % SZS output start Refutation
% See solution above
% 44.50/6.93
% 44.50/6.93
% 44.50/6.93 % Terminating...
% 44.50/7.02 % Runner terminated.
% 44.50/7.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------