TSTP Solution File: KLE100+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE100+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.bvakLuCKmG true
% Computer : n009.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 05:38:39 EDT 2023
% Result : Theorem 82.60s 12.47s
% Output : Refutation 82.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 170 ( 156 unt; 12 typ; 0 def)
% Number of atoms : 160 ( 159 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 849 ( 4 ~; 0 |; 0 &; 843 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 199 ( 0 ^; 199 !; 0 ?; 199 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(one_type,type,
one: $i ).
thf(sk__type,type,
sk_: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(antidomain_type,type,
antidomain: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(c_type,type,
c: $i > $i ).
thf(forward_diamond_type,type,
forward_diamond: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(domain_difference_type,type,
domain_difference: $i > $i > $i ).
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(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(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_cl185,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( multiplication @ ( antidomain @ X2 ) @ ( multiplication @ X0 @ ( domain @ X1 ) ) )
= zero )
=> ( ( addition @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) @ ( domain @ X2 ) )
= ( domain @ X2 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( multiplication @ ( antidomain @ X2 ) @ ( multiplication @ X0 @ ( domain @ X1 ) ) )
= zero )
=> ( ( addition @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) @ ( domain @ X2 ) )
= ( domain @ X2 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl27,plain,
( ( multiplication @ ( antidomain @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_001,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_002,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl336,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_cl352,plain,
( ( addition @ ( antidomain @ zero ) @ ( antidomain @ ( multiplication @ ( antidomain @ sk__2 ) @ ( domain @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) ) ) ) )
= ( antidomain @ ( multiplication @ ( antidomain @ sk__2 ) @ ( domain @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl336]) ).
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_cl40,plain,
( zero
= ( antidomain @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl43,plain,
( ( domain @ one )
= ( antidomain @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl16]) ).
thf(zip_derived_cl185_004,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_cl188,plain,
( ( addition @ ( antidomain @ one ) @ ( antidomain @ zero ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl185]) ).
thf(zip_derived_cl40_005,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_006,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl194,plain,
( ( antidomain @ zero )
= one ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl40,zip_derived_cl35]) ).
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_007,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl370,plain,
( ( addition @ one @ ( antidomain @ ( multiplication @ ( antidomain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ) )
= ( antidomain @ ( multiplication @ ( antidomain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl194,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl185_008,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16,zip_derived_cl0]) ).
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(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_cl101,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_cl1957,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ one )
= ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl101]) ).
thf(zip_derived_cl185_009,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_cl1978,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl185]) ).
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_cl1997,plain,
! [X0: $i] :
( ( addition @ one @ ( antidomain @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl1978,zip_derived_cl0]) ).
thf(zip_derived_cl2092,plain,
( one
= ( antidomain @ ( multiplication @ ( antidomain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl1997]) ).
thf(zip_derived_cl13_011,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl2117,plain,
( ( multiplication @ one @ ( multiplication @ ( antidomain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl2092,zip_derived_cl13]) ).
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_cl2289,plain,
( zero
= ( multiplication @ ( antidomain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2117,zip_derived_cl6]) ).
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_cl2304,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ ( antidomain @ sk__2 ) @ X0 ) @ ( forward_diamond @ sk_ @ sk__1 ) )
= ( addition @ zero @ ( multiplication @ X0 @ ( forward_diamond @ sk_ @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2289,zip_derived_cl8]) ).
thf(zip_derived_cl35_012,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl2314,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ ( antidomain @ sk__2 ) @ X0 ) @ ( forward_diamond @ sk_ @ sk__1 ) )
= ( multiplication @ X0 @ ( forward_diamond @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2304,zip_derived_cl35]) ).
thf(zip_derived_cl124929,plain,
( ( multiplication @ one @ ( forward_diamond @ sk_ @ sk__1 ) )
= ( multiplication @ ( domain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl2314]) ).
thf(zip_derived_cl6_013,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl124952,plain,
( ( forward_diamond @ sk_ @ sk__1 )
= ( multiplication @ ( domain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl124929,zip_derived_cl6]) ).
thf(zip_derived_cl5_014,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_cl215,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ one ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl125666,plain,
( ( multiplication @ ( domain @ sk__2 ) @ ( addition @ ( forward_diamond @ sk_ @ sk__1 ) @ one ) )
= ( addition @ ( forward_diamond @ sk_ @ sk__1 ) @ ( domain @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl124952,zip_derived_cl215]) ).
thf(zip_derived_cl23_015,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl16_016,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_017,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl16]) ).
thf(complement,axiom,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl21]) ).
thf(zip_derived_cl185_018,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_cl189,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( c @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl185]) ).
thf(zip_derived_cl16_019,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( c @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl16]) ).
thf(zip_derived_cl101_020,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_cl1961,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= ( addition @ ( domain @ X0 ) @ ( c @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl101]) ).
thf(zip_derived_cl195_021,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( c @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl16]) ).
thf(zip_derived_cl1982,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1961,zip_derived_cl195]) ).
thf(zip_derived_cl2017,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( forward_diamond @ X1 @ X0 ) @ one )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl1982]) ).
thf(zip_derived_cl5_022,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl0_023,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl125734,plain,
( ( domain @ sk__2 )
= ( addition @ ( domain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl125666,zip_derived_cl2017,zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl28,plain,
( ( addition @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) @ ( domain @ sk__2 ) )
!= ( domain @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_024,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl33,plain,
( ( addition @ ( domain @ sk__2 ) @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) )
!= ( domain @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl0]) ).
thf(zip_derived_cl87_025,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl21]) ).
thf(zip_derived_cl16_026,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl87_027,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl21]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( c @ ( antidomain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl87]) ).
thf(zip_derived_cl6_028,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl336_029,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_cl340,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( multiplication @ one @ X0 ) ) @ ( antidomain @ ( domain @ X0 ) ) )
= ( antidomain @ ( multiplication @ one @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl336]) ).
thf(zip_derived_cl6_030,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl21_031,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl6_032,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl21_033,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl359,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( c @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl6,zip_derived_cl21,zip_derived_cl6,zip_derived_cl21]) ).
thf(zip_derived_cl1453,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( domain @ ( domain @ X0 ) ) )
= ( c @ ( antidomain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl359]) ).
thf(zip_derived_cl16_034,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl92_035,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( c @ ( antidomain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl87]) ).
thf(zip_derived_cl1470,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( domain @ ( domain @ X0 ) ) )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1453,zip_derived_cl16,zip_derived_cl92]) ).
thf(zip_derived_cl185_036,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_037,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_cl186,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ X1 ) @ ( addition @ ( domain @ X1 ) @ X0 ) )
= ( addition @ one @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl1]) ).
thf(zip_derived_cl9321,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ ( domain @ X0 ) ) )
= ( addition @ one @ ( domain @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1470,zip_derived_cl186]) ).
thf(zip_derived_cl1982_038,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1961,zip_derived_cl195]) ).
thf(zip_derived_cl0_039,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl2012,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl1982,zip_derived_cl0]) ).
thf(zip_derived_cl9360,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ ( domain @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl9321,zip_derived_cl2012]) ).
thf(zip_derived_cl9461,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( domain @ ( c @ X0 ) ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl9360]) ).
thf(zip_derived_cl16_040,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl9486,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( domain @ ( c @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl9461,zip_derived_cl16]) ).
thf(zip_derived_cl16_041,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl13_042,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).
thf(zip_derived_cl8_043,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_cl269,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) )
= ( addition @ ( multiplication @ X1 @ ( antidomain @ X0 ) ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl8]) ).
thf(zip_derived_cl2_044,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl288,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ X1 @ ( antidomain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl2]) ).
thf(zip_derived_cl22423,plain,
! [X0: $i] :
( ( multiplication @ one @ ( antidomain @ ( c @ X0 ) ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( c @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9486,zip_derived_cl288]) ).
thf(zip_derived_cl21_045,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl16_046,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( antidomain @ ( c @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(zip_derived_cl6_047,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl50_048,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( antidomain @ ( c @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(zip_derived_cl50_049,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( antidomain @ ( c @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(domain_difference,axiom,
! [X0: $i,X1: $i] :
( ( domain_difference @ X0 @ X1 )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( domain_difference @ X0 @ X1 )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain_difference]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( domain_difference @ X1 @ ( c @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( domain @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl22]) ).
thf(zip_derived_cl9360_050,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ ( domain @ X0 ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl9321,zip_derived_cl2012]) ).
thf(zip_derived_cl3_051,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl1_052,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_053,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl94,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(zip_derived_cl3852,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl94]) ).
thf(zip_derived_cl9438,plain,
! [X0: $i] :
( ( addition @ ( domain @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) )
= ( addition @ ( antidomain @ X0 ) @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl9360,zip_derived_cl3852]) ).
thf(zip_derived_cl1978_054,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl185]) ).
thf(zip_derived_cl9502,plain,
! [X0: $i] :
( ( addition @ ( domain @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl9438,zip_derived_cl1978]) ).
thf(zip_derived_cl13_055,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl7_056,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_cl220,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ ( addition @ X1 @ X0 ) )
= ( addition @ ( multiplication @ ( antidomain @ X0 ) @ X1 ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).
thf(zip_derived_cl2_057,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ ( addition @ X1 @ X0 ) )
= ( multiplication @ ( antidomain @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl2]) ).
thf(zip_derived_cl14277,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ ( antidomain @ X0 ) ) @ one )
= ( multiplication @ ( antidomain @ ( antidomain @ X0 ) ) @ ( domain @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9502,zip_derived_cl241]) ).
thf(zip_derived_cl16_058,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl5_059,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl16_060,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl134_061,plain,
! [X0: $i,X1: $i] :
( ( domain_difference @ X1 @ ( c @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( domain @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl22]) ).
thf(zip_derived_cl14342,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain_difference @ X0 @ ( c @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14277,zip_derived_cl16,zip_derived_cl5,zip_derived_cl16,zip_derived_cl134]) ).
thf(zip_derived_cl22470,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( domain @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22423,zip_derived_cl50,zip_derived_cl6,zip_derived_cl50,zip_derived_cl134,zip_derived_cl14342]) ).
thf(zip_derived_cl23_062,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl22591,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X1 @ ( domain @ X0 ) )
= ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22470,zip_derived_cl23]) ).
thf(zip_derived_cl23_063,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X0 @ X1 )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[forward_diamond]) ).
thf(zip_derived_cl22656,plain,
! [X0: $i,X1: $i] :
( ( forward_diamond @ X1 @ ( domain @ X0 ) )
= ( forward_diamond @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22591,zip_derived_cl23]) ).
thf(zip_derived_cl31585,plain,
( ( addition @ ( domain @ sk__2 ) @ ( forward_diamond @ sk_ @ sk__1 ) )
!= ( domain @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl22656]) ).
thf(zip_derived_cl125735,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl125734,zip_derived_cl31585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE100+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bvakLuCKmG true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 11:01:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 82.60/12.47 % Solved by fo/fo4.sh.
% 82.60/12.47 % done 9233 iterations in 11.706s
% 82.60/12.47 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.60/12.47 % SZS output start Refutation
% See solution above
% 82.60/12.47
% 82.60/12.47
% 82.60/12.47 % Terminating...
% 83.04/12.58 % Runner terminated.
% 83.08/12.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------