TSTP Solution File: KLE099+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE099+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.ErAkZORTBT true
% Computer : n032.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 05:38:38 EDT 2023
% Result : Theorem 16.78s 2.86s
% Output : Refutation 16.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 116 ( 103 unt; 11 typ; 0 def)
% Number of atoms : 107 ( 106 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 552 ( 2 ~; 0 |; 0 &; 548 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 135 ( 0 ^; 135 !; 0 ?; 135 :)
% 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(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(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_cl171,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_cl173,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( antidomain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ ( forward_diamond @ X1 @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl171]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) @ ( domain @ X2 ) )
= ( domain @ X2 ) )
=> ( ( multiplication @ ( antidomain @ X2 ) @ ( multiplication @ X0 @ ( domain @ X1 ) ) )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) @ ( domain @ X2 ) )
= ( domain @ X2 ) )
=> ( ( multiplication @ ( antidomain @ X2 ) @ ( multiplication @ X0 @ ( domain @ X1 ) ) )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl27,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_002,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl37,plain,
( ( addition @ ( domain @ sk__2 ) @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) )
= ( domain @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).
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_cl98,plain,
! [X0: $i] :
( ( addition @ ( domain @ sk__2 ) @ ( addition @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) @ X0 ) )
= ( addition @ ( domain @ sk__2 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).
thf(zip_derived_cl279,plain,
! [X0: $i] :
( ( addition @ ( domain @ sk__2 ) @ ( addition @ X0 @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) ) )
= ( addition @ ( domain @ sk__2 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl98]) ).
thf(zip_derived_cl8615,plain,
( ( addition @ ( domain @ sk__2 ) @ one )
= ( addition @ ( domain @ sk__2 ) @ ( antidomain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl279]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_004,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl31,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_cl48,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).
thf(zip_derived_cl171_005,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_cl175,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( c @ X0 ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl171]) ).
thf(zip_derived_cl16_006,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl181,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( c @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl16]) ).
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_cl1_007,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_cl94,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_cl1658,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= ( addition @ ( domain @ X0 ) @ ( c @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl181,zip_derived_cl94]) ).
thf(zip_derived_cl181_008,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( c @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl16]) ).
thf(zip_derived_cl1696,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1658,zip_derived_cl181]) ).
thf(zip_derived_cl8724,plain,
( one
= ( addition @ ( domain @ sk__2 ) @ ( antidomain @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8615,zip_derived_cl1696]) ).
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(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_cl248,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( antidomain @ X0 ) ) @ X0 )
= ( addition @ ( multiplication @ X1 @ X0 ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).
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_cl266,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( antidomain @ X0 ) ) @ X0 )
= ( multiplication @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl2]) ).
thf(zip_derived_cl8735,plain,
( ( multiplication @ one @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) )
= ( multiplication @ ( domain @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8724,zip_derived_cl266]) ).
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_cl8745,plain,
( ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) )
= ( multiplication @ ( domain @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8735,zip_derived_cl6]) ).
thf(zip_derived_cl16_009,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl16_010,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( antidomain @ X0 ) ) ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl13_011,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).
thf(zip_derived_cl107,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ ( antidomain @ X0 ) ) @ ( domain @ X0 ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl44]) ).
thf(zip_derived_cl48_012,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( multiplication @ ( c @ X0 ) @ ( domain @ X0 ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl48]) ).
thf(multiplicative_associativity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( multiplication @ B @ C ) )
= ( multiplication @ ( multiplication @ A @ B ) @ C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( c @ X1 ) @ ( multiplication @ ( domain @ X1 ) @ X0 ) )
= ( multiplication @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl121,zip_derived_cl4]) ).
thf(left_annihilation,axiom,
! [A: $i] :
( ( multiplication @ zero @ A )
= zero ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( c @ X1 ) @ ( multiplication @ ( domain @ X1 ) @ X0 ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl10]) ).
thf(zip_derived_cl8786,plain,
( ( multiplication @ ( c @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ ( domain @ sk__1 ) ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl8745,zip_derived_cl169]) ).
thf(zip_derived_cl181_013,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ ( c @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl16]) ).
thf(zip_derived_cl13_014,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ X0 )
= zero ),
inference(cnf,[status(esa)],[domain1]) ).
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_cl206,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_015,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ ( addition @ X1 @ X0 ) )
= ( multiplication @ ( antidomain @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl2]) ).
thf(zip_derived_cl13909,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ ( c @ X0 ) ) @ one )
= ( multiplication @ ( antidomain @ ( c @ X0 ) ) @ ( domain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl181,zip_derived_cl225]) ).
thf(zip_derived_cl21_016,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl16_017,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(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_cl50_018,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( antidomain @ ( c @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(zip_derived_cl171_019,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_cl0_020,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl94_021,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_cl1635,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl94]) ).
thf(zip_derived_cl1980,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= ( addition @ ( domain @ X0 ) @ ( antidomain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl1635]) ).
thf(zip_derived_cl1696_022,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1658,zip_derived_cl181]) ).
thf(zip_derived_cl2020,plain,
! [X0: $i] :
( one
= ( addition @ ( domain @ X0 ) @ ( antidomain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1980,zip_derived_cl1696]) ).
thf(zip_derived_cl266_023,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( antidomain @ X0 ) ) @ X0 )
= ( multiplication @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl2]) ).
thf(zip_derived_cl3733,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2020,zip_derived_cl266]) ).
thf(zip_derived_cl6_024,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl3748,plain,
! [X0: $i] :
( X0
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3733,zip_derived_cl6]) ).
thf(zip_derived_cl13997,plain,
! [X0: $i] :
( ( domain @ ( domain @ X0 ) )
= ( domain @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13909,zip_derived_cl50,zip_derived_cl5,zip_derived_cl50,zip_derived_cl3748]) ).
thf(zip_derived_cl14208,plain,
( ( multiplication @ ( c @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl8786,zip_derived_cl13997]) ).
thf(zip_derived_cl171_025,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_cl225_026,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( antidomain @ X0 ) @ ( addition @ X1 @ X0 ) )
= ( multiplication @ ( antidomain @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl2]) ).
thf(zip_derived_cl13895,plain,
! [X0: $i] :
( ( multiplication @ ( antidomain @ ( domain @ X0 ) ) @ one )
= ( multiplication @ ( antidomain @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl225]) ).
thf(zip_derived_cl21_027,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl5_028,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl21_029,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ ( domain @ X0 ) ) ),
inference(cnf,[status(esa)],[complement]) ).
thf(zip_derived_cl48_030,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( c @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).
thf(zip_derived_cl3748_031,plain,
! [X0: $i] :
( X0
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3733,zip_derived_cl6]) ).
thf(zip_derived_cl3787,plain,
! [X0: $i] :
( ( antidomain @ X0 )
= ( multiplication @ ( c @ X0 ) @ ( antidomain @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl3748]) ).
thf(zip_derived_cl13986,plain,
! [X0: $i] :
( ( c @ X0 )
= ( antidomain @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13895,zip_derived_cl21,zip_derived_cl5,zip_derived_cl21,zip_derived_cl3787]) ).
thf(zip_derived_cl15301,plain,
( ( multiplication @ ( antidomain @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl14208,zip_derived_cl13986]) ).
thf(zip_derived_cl28,plain,
( ( multiplication @ ( antidomain @ sk__2 ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15302,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15301,zip_derived_cl28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : KLE099+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ErAkZORTBT true
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Aug 29 12:28:01 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % Running portfolio for 300 s
% 0.08/0.27 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.12/0.49 % Total configuration time : 435
% 0.12/0.49 % Estimated wc time : 1092
% 0.12/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.12/0.54 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.12/0.54 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.12/0.54 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.12/0.54 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.12/0.54 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.12/0.57 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.78/2.86 % Solved by fo/fo4.sh.
% 16.78/2.86 % done 1391 iterations in 2.221s
% 16.78/2.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.78/2.86 % SZS output start Refutation
% See solution above
% 16.78/2.86
% 16.78/2.86
% 16.78/2.86 % Terminating...
% 16.78/3.02 % Runner terminated.
% 16.78/3.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------