TSTP Solution File: KLE135+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE135+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.UgzXhQoeLx true
% Computer : n007.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 05:38:45 EDT 2023
% Result : Theorem 17.69s 3.15s
% Output : Refutation 17.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 125 ( 101 unt; 10 typ; 0 def)
% Number of atoms : 129 ( 128 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 726 ( 13 ~; 11 |; 0 &; 699 @)
% ( 0 <=>; 3 =>; 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 : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 126 ( 0 ^; 126 !; 0 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__type,type,
sk_: $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(forward_diamond_type,type,
forward_diamond: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(zero_type,type,
zero: $i ).
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_cl16_001,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
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_002,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
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_cl94,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ ( domain @ X0 ) ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl94]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( antidomain @ ( domain @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl16]) ).
thf(zip_derived_cl33_004,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
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_cl0_005,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl77,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(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_cl41,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl16_006,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl44,plain,
( ( domain @ one )
= ( antidomain @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl16]) ).
thf(zip_derived_cl44_007,plain,
( ( domain @ one )
= ( antidomain @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl16]) ).
thf(zip_derived_cl94_008,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl97,plain,
( ( addition @ ( antidomain @ one ) @ ( antidomain @ zero ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl94]) ).
thf(zip_derived_cl41_009,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
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_cl0_010,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl101,plain,
( ( antidomain @ zero )
= one ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl41,zip_derived_cl36]) ).
thf(zip_derived_cl105,plain,
( ( domain @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl101]) ).
thf(goals,conjecture,
! [X0: $i] :
( ( ( divergence @ X0 )
= zero )
=> ( ( forward_diamond @ ( star @ X0 ) @ ( antidomain @ X0 ) )
= one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( ( divergence @ X0 )
= zero )
=> ( ( forward_diamond @ ( star @ X0 ) @ ( antidomain @ X0 ) )
= one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl29,plain,
( ( divergence @ sk_ )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl383,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( domain @ X1 ) @ ( addition @ zero @ ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) )
= ( addition @ ( divergence @ sk_ ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) )
| ( ( addition @ ( domain @ X1 ) @ ( addition @ ( forward_diamond @ sk_ @ ( domain @ X1 ) ) @ ( domain @ X0 ) ) )
!= ( addition @ ( forward_diamond @ sk_ @ ( domain @ X1 ) ) @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl28]) ).
thf(zip_derived_cl36_011,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl29_012,plain,
( ( divergence @ sk_ )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_013,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) )
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) )
| ( ( addition @ ( domain @ X1 ) @ ( addition @ ( forward_diamond @ sk_ @ ( domain @ X1 ) ) @ ( domain @ X0 ) ) )
!= ( addition @ ( forward_diamond @ sk_ @ ( domain @ X1 ) ) @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl36,zip_derived_cl29,zip_derived_cl36]) ).
thf(zip_derived_cl438,plain,
! [X0: $i] :
( ( ( addition @ ( domain @ one ) @ ( addition @ ( forward_diamond @ sk_ @ one ) @ ( domain @ X0 ) ) )
!= ( addition @ ( forward_diamond @ sk_ @ ( domain @ one ) ) @ ( domain @ X0 ) ) )
| ( ( addition @ ( domain @ one ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) )
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl408]) ).
thf(zip_derived_cl105_014,plain,
( ( domain @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl101]) ).
thf(zip_derived_cl105_015,plain,
( ( domain @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl101]) ).
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_cl117,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ one )
= ( domain @ ( multiplication @ X0 @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl23]) ).
thf(zip_derived_cl5_016,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ one )
= ( domain @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl5]) ).
thf(zip_derived_cl105_017,plain,
( ( domain @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl101]) ).
thf(zip_derived_cl121_018,plain,
! [X0: $i] :
( ( forward_diamond @ X0 @ one )
= ( domain @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl5]) ).
thf(zip_derived_cl105_019,plain,
( ( domain @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl101]) ).
thf(zip_derived_cl451,plain,
! [X0: $i] :
( ( ( addition @ one @ ( addition @ ( domain @ sk_ ) @ ( domain @ X0 ) ) )
!= ( addition @ ( domain @ sk_ ) @ ( domain @ X0 ) ) )
| ( ( addition @ one @ ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) )
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl105,zip_derived_cl121,zip_derived_cl105,zip_derived_cl121,zip_derived_cl105]) ).
thf(zip_derived_cl23_020,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(additive_idempotence,axiom,
! [A: $i] :
( ( addition @ A @ A )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl94_021,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl1_022,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_cl95,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ X1 ) @ ( addition @ ( domain @ X1 ) @ X0 ) )
= ( addition @ one @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl1]) ).
thf(zip_derived_cl2994,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= ( addition @ one @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl95]) ).
thf(zip_derived_cl94_023,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl3016,plain,
! [X0: $i] :
( one
= ( addition @ one @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2994,zip_derived_cl94]) ).
thf(zip_derived_cl3565,plain,
! [X0: $i,X1: $i] :
( one
= ( addition @ one @ ( forward_diamond @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl3016]) ).
thf(zip_derived_cl3976,plain,
! [X0: $i] :
( ( ( addition @ one @ ( addition @ ( domain @ sk_ ) @ ( domain @ X0 ) ) )
!= ( addition @ ( domain @ sk_ ) @ ( domain @ X0 ) ) )
| ( one
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl451,zip_derived_cl3565]) ).
thf(zip_derived_cl4013,plain,
! [X0: $i] :
( ( ( addition @ ( domain @ X0 ) @ ( addition @ one @ ( domain @ sk_ ) ) )
!= ( addition @ ( domain @ sk_ ) @ ( domain @ X0 ) ) )
| ( one
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl3976]) ).
thf(zip_derived_cl3016_024,plain,
! [X0: $i] :
( one
= ( addition @ one @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2994,zip_derived_cl94]) ).
thf(zip_derived_cl102_025,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( antidomain @ ( domain @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl16]) ).
thf(zip_derived_cl3_026,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl1_027,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_cl84,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl2817,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= ( addition @ ( domain @ X0 ) @ ( antidomain @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl102,zip_derived_cl84]) ).
thf(zip_derived_cl102_028,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( antidomain @ ( domain @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl16]) ).
thf(zip_derived_cl2860,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl2817,zip_derived_cl102]) ).
thf(zip_derived_cl4026,plain,
! [X0: $i] :
( ( one
!= ( addition @ ( domain @ sk_ ) @ ( domain @ X0 ) ) )
| ( one
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4013,zip_derived_cl3016,zip_derived_cl2860]) ).
thf(zip_derived_cl4046,plain,
! [X0: $i] :
( ( one
!= ( addition @ ( domain @ sk_ ) @ ( antidomain @ ( domain @ X0 ) ) ) )
| ( one
= ( forward_diamond @ ( star @ sk_ ) @ ( domain @ ( antidomain @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4026]) ).
thf(zip_derived_cl33_029,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl4056,plain,
! [X0: $i] :
( ( one
!= ( addition @ ( domain @ sk_ ) @ ( antidomain @ ( domain @ X0 ) ) ) )
| ( one
= ( forward_diamond @ ( star @ sk_ ) @ ( antidomain @ ( domain @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4046,zip_derived_cl33]) ).
thf(zip_derived_cl23564,plain,
( ( one != one )
| ( one
= ( forward_diamond @ ( star @ sk_ ) @ ( antidomain @ ( domain @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl4056]) ).
thf(zip_derived_cl23586,plain,
( one
= ( forward_diamond @ ( star @ sk_ ) @ ( antidomain @ ( domain @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23564]) ).
thf(zip_derived_cl23_030,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl16_031,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl13_032,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( forward_diamond @ X1 @ X0 ) @ ( antidomain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl42]) ).
thf(zip_derived_cl23805,plain,
( ( multiplication @ one @ ( antidomain @ ( multiplication @ ( star @ sk_ ) @ ( domain @ ( antidomain @ ( domain @ sk_ ) ) ) ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl23586,zip_derived_cl67]) ).
thf(zip_derived_cl33_033,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
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(zip_derived_cl23827,plain,
( ( antidomain @ ( multiplication @ ( star @ sk_ ) @ ( antidomain @ ( domain @ ( domain @ sk_ ) ) ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl23805,zip_derived_cl33,zip_derived_cl6]) ).
thf(zip_derived_cl33_034,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
thf(domain2,axiom,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ ( multiplication @ X0 @ X1 ) ) @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) )
= ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ ( multiplication @ X0 @ X1 ) ) @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) )
= ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl16_035,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_036,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ ( multiplication @ X0 @ X1 ) ) @ ( antidomain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) )
= ( antidomain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl308,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ ( multiplication @ X1 @ ( antidomain @ X0 ) ) ) @ ( antidomain @ ( multiplication @ X1 @ ( antidomain @ ( domain @ X0 ) ) ) ) )
= ( antidomain @ ( multiplication @ X1 @ ( domain @ ( antidomain @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl299]) ).
thf(zip_derived_cl33_037,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl325,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ ( multiplication @ X1 @ ( antidomain @ X0 ) ) ) @ ( antidomain @ ( multiplication @ X1 @ ( antidomain @ ( domain @ X0 ) ) ) ) )
= ( antidomain @ ( multiplication @ X1 @ ( antidomain @ ( domain @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl33]) ).
thf(zip_derived_cl24058,plain,
( ( addition @ ( antidomain @ ( multiplication @ ( star @ sk_ ) @ ( antidomain @ ( domain @ sk_ ) ) ) ) @ zero )
= ( antidomain @ ( multiplication @ ( star @ sk_ ) @ ( antidomain @ ( domain @ ( domain @ sk_ ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23827,zip_derived_cl325]) ).
thf(zip_derived_cl2_038,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl23827_039,plain,
( ( antidomain @ ( multiplication @ ( star @ sk_ ) @ ( antidomain @ ( domain @ ( domain @ sk_ ) ) ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl23805,zip_derived_cl33,zip_derived_cl6]) ).
thf(zip_derived_cl24103,plain,
( ( antidomain @ ( multiplication @ ( star @ sk_ ) @ ( antidomain @ ( domain @ sk_ ) ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl24058,zip_derived_cl2,zip_derived_cl23827]) ).
thf(zip_derived_cl94_040,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl24239,plain,
( ( addition @ zero @ ( domain @ ( multiplication @ ( star @ sk_ ) @ ( antidomain @ ( domain @ sk_ ) ) ) ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl24103,zip_derived_cl94]) ).
thf(zip_derived_cl33_041,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl23_042,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X1 @ ( antidomain @ X0 ) )
= ( domain @ ( multiplication @ X1 @ ( antidomain @ ( domain @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl23]) ).
thf(zip_derived_cl36_043,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl24289,plain,
( ( forward_diamond @ ( star @ sk_ ) @ ( antidomain @ sk_ ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl24239,zip_derived_cl74,zip_derived_cl36]) ).
thf(zip_derived_cl30,plain,
( ( forward_diamond @ ( star @ sk_ ) @ ( antidomain @ sk_ ) )
!= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24290,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24289,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE135+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.UgzXhQoeLx true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:04:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.69/3.15 % Solved by fo/fo4.sh.
% 17.69/3.15 % done 2688 iterations in 2.354s
% 17.69/3.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.69/3.15 % SZS output start Refutation
% See solution above
% 17.69/3.15
% 17.69/3.15
% 17.69/3.15 % Terminating...
% 17.91/3.19 % Runner terminated.
% 17.91/3.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------