TSTP Solution File: KLE048+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE048+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.mBZgLaPGVW true
% Computer : n027.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 05:38:28 EDT 2023
% Result : Theorem 52.54s 8.08s
% Output : Refutation 52.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 169 ( 111 unt; 10 typ; 0 def)
% Number of atoms : 209 ( 123 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 864 ( 43 ~; 41 |; 2 &; 771 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 188 ( 0 ^; 187 !; 1 ?; 188 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(test_type,type,
test: $i > $o ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(test_1,axiom,
! [X0: $i] :
( ( test @ X0 )
<=> ? [X1: $i] : ( complement @ X1 @ X0 ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( complement @ ( sk_ @ X0 ) @ X0 )
| ~ ( test @ X0 ) ),
inference(cnf,[status(esa)],[test_1]) ).
thf(test_2,axiom,
! [X0: $i,X1: $i] :
( ( complement @ X1 @ X0 )
<=> ( ( ( multiplication @ X0 @ X1 )
= zero )
& ( ( multiplication @ X1 @ X0 )
= zero )
& ( ( addition @ X0 @ X1 )
= one ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
= one )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( sk_ @ X0 ) )
= one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl21]) ).
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_cl55,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl730,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ one )
= one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl55]) ).
thf(goals,conjecture,
! [X0: $i] :
( ( test @ X0 )
=> ( ( star @ X0 )
= one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( test @ X0 )
=> ( ( star @ X0 )
= one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl26,plain,
test @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl758,plain,
( ( addition @ sk__1 @ one )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl26]) ).
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_cl763,plain,
( ( addition @ one @ sk__1 )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl0]) ).
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(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_cl155,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ one @ X1 ) )
= ( addition @ X0 @ ( multiplication @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl3298,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= ( addition @ X0 @ ( multiplication @ X0 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl155]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl3311,plain,
! [X0: $i] :
( X0
= ( addition @ X0 @ ( multiplication @ X0 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3298,zip_derived_cl5]) ).
thf(zip_derived_cl763_002,plain,
( ( addition @ one @ sk__1 )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl0]) ).
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(star_induction_left,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ ( addition @ ( multiplication @ A @ B ) @ C ) @ B )
=> ( leq @ ( multiplication @ ( star @ A ) @ C ) @ B ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_left]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 )
| ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl1656,plain,
( ( leq @ ( multiplication @ ( star @ one ) @ sk__1 ) @ one )
| ~ ( leq @ one @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl763,zip_derived_cl117]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( leq @ X0 @ X0 )
| ( X0 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl1667,plain,
leq @ ( multiplication @ ( star @ one ) @ sk__1 ) @ one,
inference(demod,[status(thm)],[zip_derived_cl1656,zip_derived_cl39]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1729,plain,
( ( addition @ ( multiplication @ ( star @ one ) @ sk__1 ) @ one )
= one ),
inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl11]) ).
thf(star_induction_right,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ ( addition @ ( multiplication @ A @ B ) @ C ) @ A )
=> ( leq @ ( multiplication @ C @ ( star @ B ) ) @ A ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ X0 @ ( star @ X1 ) ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X2 @ X1 ) @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_right]) ).
thf(zip_derived_cl1751,plain,
( ( leq @ ( multiplication @ one @ ( star @ sk__1 ) ) @ ( star @ one ) )
| ~ ( leq @ one @ ( star @ one ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl16]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl6_005,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(star_unfold_right,axiom,
! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) ) @ ( star @ A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_right]) ).
thf(zip_derived_cl80,plain,
leq @ ( addition @ one @ ( star @ one ) ) @ ( star @ one ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf(zip_derived_cl11_006,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl203,plain,
( ( addition @ ( addition @ one @ ( star @ one ) ) @ ( star @ one ) )
= ( star @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl11]) ).
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_cl210,plain,
( ( addition @ one @ ( addition @ ( star @ one ) @ ( star @ one ) ) )
= ( star @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl1]) ).
thf(zip_derived_cl3_008,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl212,plain,
( ( addition @ one @ ( star @ one ) )
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl3]) ).
thf(zip_derived_cl12_009,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl216,plain,
( ( leq @ one @ ( star @ one ) )
| ( ( star @ one )
!= ( star @ one ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl12]) ).
thf(zip_derived_cl219,plain,
leq @ one @ ( star @ one ),
inference(simplify,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl1766,plain,
leq @ ( star @ sk__1 ) @ ( star @ one ),
inference(demod,[status(thm)],[zip_derived_cl1751,zip_derived_cl6,zip_derived_cl219]) ).
thf(zip_derived_cl11_010,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1768,plain,
( ( addition @ ( star @ sk__1 ) @ ( star @ one ) )
= ( star @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1766,zip_derived_cl11]) ).
thf(zip_derived_cl212_011,plain,
( ( addition @ one @ ( star @ one ) )
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl3]) ).
thf(zip_derived_cl3_012,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl758_014,plain,
( ( addition @ sk__1 @ one )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl26]) ).
thf(zip_derived_cl1_015,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_cl764,plain,
! [X0: $i] :
( ( addition @ sk__1 @ ( addition @ one @ X0 ) )
= ( addition @ one @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl1]) ).
thf(zip_derived_cl763_016,plain,
( ( addition @ one @ sk__1 )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl0]) ).
thf(zip_derived_cl1_017,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_cl12_018,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( addition @ X2 @ X1 ) @ X0 )
| ( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
thf(zip_derived_cl796,plain,
! [X0: $i] :
( ( leq @ one @ X0 )
| ( ( addition @ one @ ( addition @ sk__1 @ X0 ) )
!= X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl49]) ).
thf(zip_derived_cl1019,plain,
! [X0: $i] :
( ( leq @ one @ ( addition @ one @ X0 ) )
| ( ( addition @ one @ ( addition @ one @ X0 ) )
!= ( addition @ one @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl796]) ).
thf(zip_derived_cl55_019,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl1049,plain,
! [X0: $i] :
( ( leq @ one @ ( addition @ one @ X0 ) )
| ( ( addition @ one @ X0 )
!= ( addition @ one @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1019,zip_derived_cl55]) ).
thf(zip_derived_cl1050,plain,
! [X0: $i] : ( leq @ one @ ( addition @ one @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1049]) ).
thf(zip_derived_cl1252,plain,
! [X0: $i] : ( leq @ one @ ( addition @ X0 @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1050]) ).
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_cl15_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction_left]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ ( star @ zero ) @ X1 ) @ X0 )
| ~ ( leq @ ( addition @ zero @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).
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_021,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ ( star @ zero ) @ X1 ) @ X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl29]) ).
thf(zip_derived_cl1785,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ zero ) @ one ) @ ( addition @ X0 @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl121]) ).
thf(zip_derived_cl5_022,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl1803,plain,
! [X0: $i] : ( leq @ ( star @ zero ) @ ( addition @ X0 @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl1785,zip_derived_cl5]) ).
thf(zip_derived_cl2267,plain,
leq @ ( star @ zero ) @ one,
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1803]) ).
thf(zip_derived_cl11_023,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl2274,plain,
( ( addition @ ( star @ zero ) @ one )
= one ),
inference('s_sup-',[status(thm)],[zip_derived_cl2267,zip_derived_cl11]) ).
thf(zip_derived_cl117_024,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 )
| ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl2280,plain,
( ( leq @ ( multiplication @ ( star @ one ) @ one ) @ ( star @ zero ) )
| ~ ( leq @ one @ ( star @ zero ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2274,zip_derived_cl117]) ).
thf(zip_derived_cl5_025,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl10_026,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl13_027,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_right]) ).
thf(zip_derived_cl79,plain,
leq @ ( addition @ one @ zero ) @ ( star @ zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).
thf(zip_derived_cl2_028,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl81,plain,
leq @ one @ ( star @ zero ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl2]) ).
thf(zip_derived_cl2304,plain,
leq @ ( star @ one ) @ ( star @ zero ),
inference(demod,[status(thm)],[zip_derived_cl2280,zip_derived_cl5,zip_derived_cl81]) ).
thf(zip_derived_cl81_029,plain,
leq @ one @ ( star @ zero ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl2]) ).
thf(zip_derived_cl11_030,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl82,plain,
( ( addition @ one @ ( star @ zero ) )
= ( star @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl11]) ).
thf(zip_derived_cl2274_031,plain,
( ( addition @ ( star @ zero ) @ one )
= one ),
inference('s_sup-',[status(thm)],[zip_derived_cl2267,zip_derived_cl11]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl2276,plain,
( ( addition @ one @ ( star @ zero ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl2274,zip_derived_cl0]) ).
thf(zip_derived_cl2353,plain,
( one
= ( star @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl2276]) ).
thf(zip_derived_cl2574,plain,
leq @ ( star @ one ) @ one,
inference(demod,[status(thm)],[zip_derived_cl2304,zip_derived_cl2353]) ).
thf(zip_derived_cl11_033,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl2575,plain,
( ( addition @ ( star @ one ) @ one )
= one ),
inference('s_sup-',[status(thm)],[zip_derived_cl2574,zip_derived_cl11]) ).
thf(zip_derived_cl0_034,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl2576,plain,
( ( addition @ one @ ( star @ one ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl2575,zip_derived_cl0]) ).
thf(zip_derived_cl2619,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl2576]) ).
thf(zip_derived_cl0_035,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl2619_036,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl2576]) ).
thf(zip_derived_cl2684,plain,
( ( addition @ one @ ( star @ sk__1 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1768,zip_derived_cl2619,zip_derived_cl0,zip_derived_cl2619]) ).
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_cl0_038,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl12_039,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X1 @ X0 )
!= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( addition @ X2 @ X1 ) )
| ( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
!= ( addition @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl34]) ).
thf(zip_derived_cl5277,plain,
! [X0: $i] :
( ( leq @ X0 @ one )
| ( ( addition @ one @ ( addition @ ( star @ sk__1 ) @ X0 ) )
!= one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2684,zip_derived_cl226]) ).
thf(zip_derived_cl11966,plain,
( ( leq @ ( multiplication @ ( star @ sk__1 ) @ sk__1 ) @ one )
| ( ( addition @ one @ ( star @ sk__1 ) )
!= one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3311,zip_derived_cl5277]) ).
thf(zip_derived_cl2684_040,plain,
( ( addition @ one @ ( star @ sk__1 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1768,zip_derived_cl2619,zip_derived_cl0,zip_derived_cl2619]) ).
thf(zip_derived_cl11986,plain,
( ( leq @ ( multiplication @ ( star @ sk__1 ) @ sk__1 ) @ one )
| ( one != one ) ),
inference(demod,[status(thm)],[zip_derived_cl11966,zip_derived_cl2684]) ).
thf(zip_derived_cl11987,plain,
leq @ ( multiplication @ ( star @ sk__1 ) @ sk__1 ) @ one,
inference(simplify,[status(thm)],[zip_derived_cl11986]) ).
thf(zip_derived_cl0_041,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1252_042,plain,
! [X0: $i] : ( leq @ one @ ( addition @ X0 @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1050]) ).
thf(zip_derived_cl11_043,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1371,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ X0 @ one ) )
= ( addition @ X0 @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl11]) ).
thf(zip_derived_cl1371_044,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ X0 @ one ) )
= ( addition @ X0 @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl11]) ).
thf(zip_derived_cl1_045,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_046,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl3792,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ one @ X0 ) )
= ( addition @ X0 @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1371,zip_derived_cl47]) ).
thf(zip_derived_cl4441,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ X0 @ one ) )
= ( addition @ ( addition @ X0 @ one ) @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1371,zip_derived_cl3792]) ).
thf(zip_derived_cl1371_047,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ X0 @ one ) )
= ( addition @ X0 @ one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl11]) ).
thf(zip_derived_cl4452,plain,
! [X0: $i] :
( ( addition @ X0 @ one )
= ( addition @ ( addition @ X0 @ one ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl4441,zip_derived_cl1371]) ).
thf(zip_derived_cl5623,plain,
! [X0: $i] :
( ( addition @ one @ X0 )
= ( addition @ ( addition @ one @ X0 ) @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4452]) ).
thf(zip_derived_cl1_048,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_cl6559,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ X0 @ one ) )
= ( addition @ one @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5623,zip_derived_cl1]) ).
thf(zip_derived_cl47_049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl11_050,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X2 ) )
| ~ ( leq @ X1 @ ( addition @ X0 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl11]) ).
thf(zip_derived_cl7544,plain,
! [X0: $i] :
( ( ( addition @ one @ X0 )
= ( addition @ one @ one ) )
| ~ ( leq @ X0 @ ( addition @ one @ one ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6559,zip_derived_cl307]) ).
thf(zip_derived_cl3_051,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl3_052,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl7651,plain,
! [X0: $i] :
( ( ( addition @ one @ X0 )
= one )
| ~ ( leq @ X0 @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl7544,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl20357,plain,
( ( addition @ one @ ( multiplication @ ( star @ sk__1 ) @ sk__1 ) )
= one ),
inference('s_sup-',[status(thm)],[zip_derived_cl11987,zip_derived_cl7651]) ).
thf(star_unfold_left,axiom,
! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ ( star @ A ) @ A ) ) @ ( star @ A ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_left]) ).
thf(zip_derived_cl11_053,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( ( addition @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl20609,plain,
( ( addition @ one @ ( star @ sk__1 ) )
= ( star @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20357,zip_derived_cl199]) ).
thf(zip_derived_cl2684_054,plain,
( ( addition @ one @ ( star @ sk__1 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1768,zip_derived_cl2619,zip_derived_cl0,zip_derived_cl2619]) ).
thf(zip_derived_cl20663,plain,
( one
= ( star @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20609,zip_derived_cl2684]) ).
thf(zip_derived_cl27,plain,
( ( star @ sk__1 )
!= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20664,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20663,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mBZgLaPGVW true
% 0.13/0.35 % Computer : n027.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 12:13:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.60 % Total configuration time : 435
% 0.21/0.60 % Estimated wc time : 1092
% 0.21/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 52.54/8.08 % Solved by fo/fo13.sh.
% 52.54/8.08 % done 1415 iterations in 7.327s
% 52.54/8.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.54/8.08 % SZS output start Refutation
% See solution above
% 52.54/8.09
% 52.54/8.09
% 52.54/8.09 % Terminating...
% 53.12/8.16 % Runner terminated.
% 53.12/8.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------