TSTP Solution File: KLE040+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE040+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.pQWcvwyuZA true
% Computer : n017.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 05:38:26 EDT 2023
% Result : Theorem 155.19s 22.83s
% Output : Refutation 155.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 142 ( 109 unt; 6 typ; 0 def)
% Number of atoms : 163 ( 101 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 863 ( 27 ~; 24 |; 0 &; 809 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 210 ( 0 ^; 210 !; 0 ?; 210 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $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__type,type,
sk_: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(goals,conjecture,
! [X0: $i] :
( ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) )
= ( star @ X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl17,plain,
( ( multiplication @ ( star @ sk_ ) @ ( star @ sk_ ) )
!= ( star @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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_001,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl24,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_cl0_002,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X0 @ X2 ) @ X1 )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl0]) ).
thf(zip_derived_cl3882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ X2 )
= ( addition @ X1 @ ( addition @ X2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl233]) ).
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(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( addition @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl4972,plain,
! [X0: $i] :
( ( addition @ one @ ( addition @ ( star @ X0 ) @ ( multiplication @ ( star @ X0 ) @ X0 ) ) )
= ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3882,zip_derived_cl96]) ).
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_cl173,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ one @ X1 ) )
= ( addition @ X0 @ ( multiplication @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl5066,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4972,zip_derived_cl173]) ).
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_003,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_cl31,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_cl28238,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5066,zip_derived_cl31]) ).
thf(zip_derived_cl5066_004,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4972,zip_derived_cl173]) ).
thf(zip_derived_cl28443,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28238,zip_derived_cl5066]) ).
thf(zip_derived_cl5066_005,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4972,zip_derived_cl173]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
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_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl6_007,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_cl94,plain,
leq @ ( addition @ one @ ( star @ one ) ) @ ( star @ one ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl3_009,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl109_010,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ one ) @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl605,plain,
! [X0: $i] :
( ~ ( leq @ X0 @ X0 )
| ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl109]) ).
thf(zip_derived_cl3_011,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( leq @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl617,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ one ) @ X0 ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl605,zip_derived_cl88]) ).
thf(zip_derived_cl623,plain,
leq @ ( star @ one ) @ one,
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl617]) ).
thf(zip_derived_cl11_012,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl626,plain,
( ( addition @ ( star @ one ) @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl11]) ).
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_cl627,plain,
( ( addition @ one @ ( star @ one ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl626,zip_derived_cl0]) ).
thf(zip_derived_cl654,plain,
leq @ one @ ( star @ one ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl627]) ).
thf(zip_derived_cl11_014,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl682,plain,
( ( addition @ one @ ( star @ one ) )
= ( star @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl11]) ).
thf(zip_derived_cl627_015,plain,
( ( addition @ one @ ( star @ one ) )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl626,zip_derived_cl0]) ).
thf(zip_derived_cl683,plain,
( one
= ( star @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl682,zip_derived_cl627]) ).
thf(zip_derived_cl6_016,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl684,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X0 @ X1 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl683,zip_derived_cl6]) ).
thf(zip_derived_cl825,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( addition @ X1 @ X0 ) @ X0 )
| ( leq @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl684]) ).
thf(zip_derived_cl28300,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) )
| ( leq @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5066,zip_derived_cl825]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl5_018,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl7_019,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_cl168,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_cl0_020,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl31_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_cl42,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).
thf(zip_derived_cl12_022,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X0 @ X1 ) )
| ( leq @ X1 @ ( addition @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl12]) ).
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_cl89,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X0 @ X1 ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl83,zip_derived_cl0]) ).
thf(zip_derived_cl3972,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ X1 @ ( addition @ X0 @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl89]) ).
thf(zip_derived_cl4155,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ X1 @ ( addition @ one @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3972]) ).
thf(zip_derived_cl28476,plain,
! [X0: $i] : ( leq @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28300,zip_derived_cl4155]) ).
thf(zip_derived_cl11_024,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl34248,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) )
= ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28476,zip_derived_cl11]) ).
thf(zip_derived_cl5066_025,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4972,zip_derived_cl173]) ).
thf(zip_derived_cl34294,plain,
! [X0: $i] :
( ( star @ X0 )
= ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34248,zip_derived_cl5066]) ).
thf(zip_derived_cl34427,plain,
! [X0: $i] :
( ( star @ ( star @ X0 ) )
= ( multiplication @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28443,zip_derived_cl34294]) ).
thf(zip_derived_cl34294_026,plain,
! [X0: $i] :
( ( star @ X0 )
= ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34248,zip_derived_cl5066]) ).
thf(zip_derived_cl173_027,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ one @ X1 ) )
= ( addition @ X0 @ ( multiplication @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl0_028,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
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_cl113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ ( addition @ X2 @ ( multiplication @ X1 @ X0 ) ) @ X1 )
| ( leq @ ( multiplication @ X2 @ ( star @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).
thf(zip_derived_cl4291,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( multiplication @ X1 @ ( addition @ one @ X0 ) ) @ X1 )
| ( leq @ ( multiplication @ X1 @ ( star @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl113]) ).
thf(zip_derived_cl34387,plain,
! [X0: $i] :
( ~ ( leq @ ( star @ X0 ) @ ( star @ X0 ) )
| ( leq @ ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) ) @ ( star @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34294,zip_derived_cl4291]) ).
thf(zip_derived_cl88_029,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl34498,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) ) @ ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl34387,zip_derived_cl88]) ).
thf(zip_derived_cl28443_030,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28238,zip_derived_cl5066]) ).
thf(zip_derived_cl6_031,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
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_cl209,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ one @ X1 ) @ X0 )
= ( addition @ X0 @ ( multiplication @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).
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_cl15_033,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_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ ( addition @ X2 @ ( multiplication @ X1 @ X0 ) ) @ X0 )
| ( leq @ ( multiplication @ ( star @ X1 ) @ X2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).
thf(zip_derived_cl7179,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( multiplication @ ( addition @ one @ X1 ) @ X0 ) @ X0 )
| ( leq @ ( multiplication @ ( star @ X1 ) @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl100]) ).
thf(zip_derived_cl28931,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X1 )
| ( leq @ ( multiplication @ ( star @ ( star @ X0 ) ) @ X1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28443,zip_derived_cl7179]) ).
thf(zip_derived_cl46283,plain,
! [X0: $i] : ( leq @ ( multiplication @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ) @ ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34498,zip_derived_cl28931]) ).
thf(zip_derived_cl34427_034,plain,
! [X0: $i] :
( ( star @ ( star @ X0 ) )
= ( multiplication @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28443,zip_derived_cl34294]) ).
thf(zip_derived_cl46290,plain,
! [X0: $i] : ( leq @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl46283,zip_derived_cl34427]) ).
thf(zip_derived_cl11_035,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl46295,plain,
! [X0: $i] :
( ( addition @ ( star @ ( star @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46290,zip_derived_cl11]) ).
thf(zip_derived_cl34294_036,plain,
! [X0: $i] :
( ( star @ X0 )
= ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34248,zip_derived_cl5066]) ).
thf(zip_derived_cl6_037,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl8_038,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_cl204,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ one ) @ X0 )
= ( addition @ ( multiplication @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).
thf(zip_derived_cl34330,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ ( star @ X0 ) @ one ) @ ( addition @ one @ X0 ) )
= ( addition @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl34294,zip_derived_cl204]) ).
thf(zip_derived_cl28443_039,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28238,zip_derived_cl5066]) ).
thf(zip_derived_cl3_040,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl24_041,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_cl270,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl24]) ).
thf(zip_derived_cl28797,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ one )
= ( addition @ one @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28443,zip_derived_cl270]) ).
thf(zip_derived_cl28443_042,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28238,zip_derived_cl5066]) ).
thf(zip_derived_cl28960,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ one )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28797,zip_derived_cl28443]) ).
thf(zip_derived_cl34294_043,plain,
! [X0: $i] :
( ( star @ X0 )
= ( multiplication @ ( star @ X0 ) @ ( addition @ one @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34248,zip_derived_cl5066]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl24_045,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_cl268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ ( addition @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl24]) ).
thf(zip_derived_cl28443_046,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28238,zip_derived_cl5066]) ).
thf(zip_derived_cl34458,plain,
! [X0: $i] :
( ( star @ X0 )
= ( addition @ X0 @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34330,zip_derived_cl28960,zip_derived_cl34294,zip_derived_cl268,zip_derived_cl28443]) ).
thf(zip_derived_cl270_047,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ ( addition @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl24]) ).
thf(zip_derived_cl35237,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ X0 )
= ( addition @ X0 @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl34458,zip_derived_cl270]) ).
thf(zip_derived_cl34458_048,plain,
! [X0: $i] :
( ( star @ X0 )
= ( addition @ X0 @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34330,zip_derived_cl28960,zip_derived_cl34294,zip_derived_cl268,zip_derived_cl28443]) ).
thf(zip_derived_cl35441,plain,
! [X0: $i] :
( ( addition @ ( star @ X0 ) @ X0 )
= ( star @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl35237,zip_derived_cl34458]) ).
thf(zip_derived_cl46492,plain,
! [X0: $i] :
( ( star @ X0 )
= ( star @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46295,zip_derived_cl35441]) ).
thf(zip_derived_cl46492_049,plain,
! [X0: $i] :
( ( star @ X0 )
= ( star @ ( star @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46295,zip_derived_cl35441]) ).
thf(zip_derived_cl46606,plain,
! [X0: $i] :
( ( star @ X0 )
= ( multiplication @ ( star @ X0 ) @ ( star @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34427,zip_derived_cl46492,zip_derived_cl46492]) ).
thf(zip_derived_cl47289,plain,
( ( star @ sk_ )
!= ( star @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl46606]) ).
thf(zip_derived_cl47290,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl47289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE040+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pQWcvwyuZA true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 12:04:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 155.19/22.83 % Solved by fo/fo5.sh.
% 155.19/22.83 % done 2380 iterations in 22.048s
% 155.19/22.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 155.19/22.83 % SZS output start Refutation
% See solution above
% 155.19/22.83
% 155.19/22.83
% 155.19/22.83 % Terminating...
% 155.19/22.91 % Runner terminated.
% 155.19/22.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------