TSTP Solution File: KLE128+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE128+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jPBD0oVosp true
% Computer : n031.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 05:38:44 EDT 2023
% Result : Theorem 1.20s 0.81s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 71 ( 53 unt; 11 typ; 0 def)
% Number of atoms : 69 ( 68 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 417 ( 6 ~; 4 |; 0 &; 402 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(antidomain_type,type,
antidomain: $i > $i ).
thf(divergence_type,type,
divergence: $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(forward_diamond_type,type,
forward_diamond: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(domain1,axiom,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
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_cl71,plain,
( zero
= ( antidomain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(domain4,axiom,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl103,plain,
( ( domain @ one )
= ( antidomain @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl16]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl106,plain,
( ( domain @ zero )
= ( antidomain @ ( domain @ one ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl16]) ).
thf(zip_derived_cl71_002,plain,
( zero
= ( antidomain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(domain3,axiom,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
= one ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
= one ),
inference(cnf,[status(esa)],[domain3]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl191,plain,
( ( addition @ ( domain @ one ) @ zero )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl188]) ).
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_cl226,plain,
( one
= ( domain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl2]) ).
thf(zip_derived_cl71_004,plain,
( zero
= ( antidomain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl229,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl226,zip_derived_cl71]) ).
thf(goals,conjecture,
! [X0: $i] :
( ( ( divergence @ X0 )
= zero )
=> ! [X1: $i] :
( ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
= ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
=> ( ( domain @ X1 )
= zero ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( ( divergence @ X0 )
= zero )
=> ! [X1: $i] :
( ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
= ( forward_diamond @ X0 @ ( domain @ X1 ) ) )
=> ( ( domain @ X1 )
= zero ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl31,plain,
( ( addition @ ( domain @ sk__1 ) @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) )
= ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(forward_diamond,axiom,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl23_005,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl252,plain,
( ( addition @ ( domain @ sk__1 ) @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) )
= ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl23,zip_derived_cl23]) ).
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_cl377,plain,
! [X0: $i] :
( ( addition @ ( domain @ sk__1 ) @ ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) @ X0 ) )
= ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl252,zip_derived_cl1]) ).
thf(divergence2,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ ( domain @ X0 ) @ ( addition @ ( forward_diamond @ X1 @ ( domain @ X0 ) ) @ ( domain @ X2 ) ) )
= ( addition @ ( forward_diamond @ X1 @ ( domain @ X0 ) ) @ ( domain @ X2 ) ) )
=> ( ( addition @ ( domain @ X0 ) @ ( addition @ ( divergence @ X1 ) @ ( forward_diamond @ ( star @ X1 ) @ ( domain @ X2 ) ) ) )
= ( addition @ ( divergence @ X1 ) @ ( forward_diamond @ ( star @ X1 ) @ ( domain @ X2 ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ ( domain @ X2 ) @ ( addition @ ( divergence @ X0 ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain @ X1 ) ) ) )
= ( addition @ ( divergence @ X0 ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain @ X1 ) ) ) )
| ( ( addition @ ( domain @ X2 ) @ ( addition @ ( forward_diamond @ X0 @ ( domain @ X2 ) ) @ ( domain @ X1 ) ) )
!= ( addition @ ( forward_diamond @ X0 @ ( domain @ X2 ) ) @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[divergence2]) ).
thf(zip_derived_cl23_006,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl23_007,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl23_008,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl23_009,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ ( domain @ X2 ) @ ( addition @ ( divergence @ X0 ) @ ( domain @ ( multiplication @ ( star @ X0 ) @ ( domain @ ( domain @ X1 ) ) ) ) ) )
= ( addition @ ( divergence @ X0 ) @ ( domain @ ( multiplication @ ( star @ X0 ) @ ( domain @ ( domain @ X1 ) ) ) ) ) )
| ( ( addition @ ( domain @ X2 ) @ ( addition @ ( domain @ ( multiplication @ X0 @ ( domain @ ( domain @ X2 ) ) ) ) @ ( domain @ X1 ) ) )
!= ( addition @ ( domain @ ( multiplication @ X0 @ ( domain @ ( domain @ X2 ) ) ) ) @ ( domain @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl23,zip_derived_cl23,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl390,plain,
! [X0: $i] :
( ( ( addition @ ( domain @ sk__1 ) @ ( addition @ ( divergence @ sk_ ) @ ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( domain @ X0 ) ) ) ) ) )
= ( addition @ ( divergence @ sk_ ) @ ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( domain @ X0 ) ) ) ) ) )
| ( ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) @ ( domain @ X0 ) )
!= ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) @ ( domain @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl329]) ).
thf(zip_derived_cl29,plain,
( ( divergence @ sk_ )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_010,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
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_cl36,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl29_011,plain,
( ( divergence @ sk_ )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_012,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl397,plain,
! [X0: $i] :
( ( ( addition @ ( domain @ sk__1 ) @ ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( domain @ X0 ) ) ) ) )
= ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( domain @ X0 ) ) ) ) )
| ( ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) @ ( domain @ X0 ) )
!= ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl29,zip_derived_cl36,zip_derived_cl29,zip_derived_cl36]) ).
thf(zip_derived_cl398,plain,
! [X0: $i] :
( ( addition @ ( domain @ sk__1 ) @ ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( domain @ X0 ) ) ) ) )
= ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( domain @ X0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl397]) ).
thf(zip_derived_cl522,plain,
( ( addition @ ( domain @ sk__1 ) @ ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ zero ) ) ) )
= ( domain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ zero ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl398]) ).
thf(zip_derived_cl229_013,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl226,zip_derived_cl71]) ).
thf(right_annihilation,axiom,
! [A: $i] :
( ( multiplication @ A @ zero )
= zero ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( multiplication @ X0 @ zero )
= zero ),
inference(cnf,[status(esa)],[right_annihilation]) ).
thf(zip_derived_cl229_014,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl226,zip_derived_cl71]) ).
thf(zip_derived_cl2_015,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl229_016,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl226,zip_derived_cl71]) ).
thf(zip_derived_cl9_017,plain,
! [X0: $i] :
( ( multiplication @ X0 @ zero )
= zero ),
inference(cnf,[status(esa)],[right_annihilation]) ).
thf(zip_derived_cl229_018,plain,
( ( domain @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl226,zip_derived_cl71]) ).
thf(zip_derived_cl527,plain,
( ( domain @ sk__1 )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl229,zip_derived_cl9,zip_derived_cl229,zip_derived_cl2,zip_derived_cl229,zip_derived_cl9,zip_derived_cl229]) ).
thf(zip_derived_cl30,plain,
( ( domain @ sk__1 )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl528,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl527,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE128+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jPBD0oVosp true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Tue Aug 29 12:25:26 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.36 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.73/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.73/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.81 % Solved by fo/fo6_bce.sh.
% 1.20/0.81 % BCE start: 32
% 1.20/0.81 % BCE eliminated: 2
% 1.20/0.81 % PE start: 30
% 1.20/0.81 logic: eq
% 1.20/0.81 % PE eliminated: 0
% 1.20/0.81 % done 93 iterations in 0.070s
% 1.20/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.81 % SZS output start Refutation
% See solution above
% 1.20/0.81
% 1.20/0.81
% 1.20/0.81 % Terminating...
% 1.51/0.88 % Runner terminated.
% 1.51/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------