TSTP Solution File: KLE010+4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE010+4 : 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.qzIPEJYQfW true
% Computer : n003.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 05:38:16 EDT 2023
% Result : Theorem 5.52s 1.37s
% Output : Refutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 137 ( 77 unt; 10 typ; 0 def)
% Number of atoms : 198 ( 95 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1149 ( 78 ~; 58 |; 6 &;1000 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 179 ( 0 ^; 178 !; 1 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(c_type,type,
c: $i > $i ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(one_type,type,
one: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(test_type,type,
test: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(test_3,axiom,
! [X0: $i,X1: $i] :
( ( test @ X0 )
=> ( ( ( c @ X0 )
= X1 )
<=> ( complement @ X0 @ X1 ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( test @ X0 )
| ( complement @ X0 @ X1 )
| ( ( c @ X0 )
!= X1 ) ),
inference(cnf,[status(esa)],[test_3]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( complement @ X0 @ ( c @ X0 ) )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
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_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
= one )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl289,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ ( c @ X0 ) @ X0 )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl17]) ).
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_cl494,plain,
! [X0: $i] :
( ( ( addition @ X0 @ ( c @ X0 ) )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl0]) ).
thf(zip_derived_cl494_001,plain,
! [X0: $i] :
( ( ( addition @ X0 @ ( c @ X0 ) )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl0]) ).
thf(zip_derived_cl289_002,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ ( c @ X0 ) @ X0 )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl17]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
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_cl52,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
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_cl147,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl12]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl168]) ).
thf(zip_derived_cl504,plain,
! [X0: $i] :
( ( leq @ X0 @ one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl172]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl521,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ one )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl11]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl617,plain,
! [X0: $i] :
( ( ( addition @ one @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl0]) ).
thf(zip_derived_cl617_005,plain,
! [X0: $i] :
( ( ( addition @ one @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl0]) ).
thf(zip_derived_cl494_006,plain,
! [X0: $i] :
( ( ( addition @ X0 @ ( c @ X0 ) )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl0]) ).
thf(zip_derived_cl494_007,plain,
! [X0: $i] :
( ( ( addition @ X0 @ ( c @ X0 ) )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl0]) ).
thf(zip_derived_cl504_008,plain,
! [X0: $i] :
( ( leq @ X0 @ one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl172]) ).
thf(zip_derived_cl494_009,plain,
! [X0: $i] :
( ( ( addition @ X0 @ ( c @ X0 ) )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl0]) ).
thf(zip_derived_cl494_010,plain,
! [X0: $i] :
( ( ( addition @ X0 @ ( c @ X0 ) )
= one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl0]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( test @ X1 )
& ( test @ X0 ) )
=> ( ( leq @ one @ ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ ( multiplication @ X0 @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) )
& ( leq @ ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ ( multiplication @ X0 @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) @ one ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( test @ X1 )
& ( test @ X0 ) )
=> ( ( leq @ one @ ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ ( multiplication @ X0 @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) )
& ( leq @ ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ ( multiplication @ X0 @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) @ one ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl24,plain,
( ~ ( leq @ one @ ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ ( multiplication @ sk__1 @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) ) )
| ~ ( leq @ ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ ( multiplication @ sk__1 @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) ) @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl0_011,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_012,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_013,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_014,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_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_cl0_016,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl8_017,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_cl0_018,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_019,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_020,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_021,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_cl1_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl0_023,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl220,plain,
( ~ ( leq @ one @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl8,zip_derived_cl0,zip_derived_cl1,zip_derived_cl0,zip_derived_cl1,zip_derived_cl1,zip_derived_cl0,zip_derived_cl8,zip_derived_cl0,zip_derived_cl1,zip_derived_cl0,zip_derived_cl1,zip_derived_cl1,zip_derived_cl0]) ).
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_cl1_024,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_cl118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( addition @ ( multiplication @ X2 @ X1 ) @ ( addition @ ( multiplication @ X2 @ X0 ) @ X3 ) )
= ( addition @ ( multiplication @ X2 @ ( addition @ X1 @ X0 ) ) @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl118_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( addition @ ( multiplication @ X2 @ X1 ) @ ( addition @ ( multiplication @ X2 @ X0 ) @ X3 ) )
= ( addition @ ( multiplication @ X2 @ ( addition @ X1 @ X0 ) ) @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl0_027,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl2674,plain,
( ~ ( leq @ one @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl118,zip_derived_cl0,zip_derived_cl118,zip_derived_cl0]) ).
thf(zip_derived_cl3107,plain,
( ~ ( leq @ one @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ one ) ) ) )
| ~ ( test @ sk__2 )
| ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl2674]) ).
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_cl0_028,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_029,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_030,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl44,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_031,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl25,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3112,plain,
( ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl3107,zip_derived_cl5,zip_derived_cl0,zip_derived_cl44,zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl3118,plain,
( ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ one ) ) ) @ one )
| ~ ( test @ sk__2 )
| ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl3112]) ).
thf(zip_derived_cl5_032,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl0_033,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl44_034,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_035,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl25_036,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3123,plain,
( ~ ( leq @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) @ one )
| ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3118,zip_derived_cl5,zip_derived_cl0,zip_derived_cl44,zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl3128,plain,
( ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) )
| ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl3123]) ).
thf(zip_derived_cl3356,plain,
( ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ one @ sk__1 ) ) ) )
| ~ ( test @ sk__2 )
| ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl3128]) ).
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_cl5_037,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl7_038,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_cl125,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_039,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl25_040,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3359,plain,
( ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) )
| ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3356,zip_derived_cl6,zip_derived_cl125,zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl3362,plain,
( ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ one @ sk__1 ) ) ) )
| ~ ( test @ sk__2 )
| ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl3359]) ).
thf(zip_derived_cl6_041,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl125_042,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_043,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl25_044,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3365,plain,
( ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) )
| ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3362,zip_derived_cl6,zip_derived_cl125,zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl3368,plain,
( ~ ( leq @ one @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ one ) ) )
| ~ ( test @ sk__2 )
| ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl3365]) ).
thf(zip_derived_cl5_045,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
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_cl25_047,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3370,plain,
( ~ ( leq @ one @ ( addition @ sk__1 @ ( c @ sk__1 ) ) )
| ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3368,zip_derived_cl5,zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl3372,plain,
( ~ ( test @ ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ one ) ) )
| ~ ( test @ sk__2 )
| ~ ( leq @ one @ ( addition @ sk__1 @ ( c @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl3370]) ).
thf(zip_derived_cl5_048,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl0_049,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl25_050,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3374,plain,
( ~ ( test @ ( addition @ sk__1 @ ( c @ sk__1 ) ) )
| ~ ( leq @ one @ ( addition @ sk__1 @ ( c @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3372,zip_derived_cl5,zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl3376,plain,
( ~ ( leq @ one @ one )
| ~ ( test @ sk__1 )
| ~ ( test @ ( addition @ sk__1 @ ( c @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl3374]) ).
thf(zip_derived_cl3_051,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl12_052,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( leq @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl26,plain,
test @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3378,plain,
~ ( test @ ( addition @ sk__1 @ ( c @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3376,zip_derived_cl38,zip_derived_cl26]) ).
thf(zip_derived_cl3495,plain,
( ~ ( test @ one )
| ~ ( test @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl3378]) ).
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_cl18,plain,
! [X0: $i,X1: $i] :
( ( complement @ X0 @ X1 )
| ( ( addition @ X1 @ X0 )
!= one )
| ( ( multiplication @ X0 @ X1 )
!= zero )
| ( ( multiplication @ X1 @ X0 )
!= zero ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ( X0 != one )
| ( ( multiplication @ X0 @ zero )
!= zero )
| ( ( multiplication @ zero @ X0 )
!= zero )
| ( complement @ zero @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl18]) ).
thf(right_annihilation,axiom,
! [A: $i] :
( ( multiplication @ A @ zero )
= zero ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( multiplication @ X0 @ zero )
= zero ),
inference(cnf,[status(esa)],[right_annihilation]) ).
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_cl81,plain,
! [X0: $i] :
( ( X0 != one )
| ( zero != zero )
| ( zero != zero )
| ( complement @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( complement @ zero @ X0 )
| ( X0 != one ) ),
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl213,plain,
complement @ zero @ one,
inference(eq_res,[status(thm)],[zip_derived_cl82]) ).
thf(test_1,axiom,
! [X0: $i] :
( ( test @ X0 )
<=> ? [X1: $i] : ( complement @ X1 @ X0 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( test @ X0 )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_1]) ).
thf(zip_derived_cl215,plain,
test @ one,
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl14]) ).
thf(zip_derived_cl26_053,plain,
test @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3497,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3495,zip_derived_cl215,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE010+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qzIPEJYQfW true
% 0.13/0.34 % Computer : n003.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 11:46:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.63/0.64 % Total configuration time : 435
% 0.63/0.64 % Estimated wc time : 1092
% 0.63/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.52/1.37 % Solved by fo/fo5.sh.
% 5.52/1.37 % done 605 iterations in 0.592s
% 5.52/1.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.52/1.37 % SZS output start Refutation
% See solution above
% 5.52/1.38
% 5.52/1.38
% 5.52/1.38 % Terminating...
% 5.52/1.45 % Runner terminated.
% 5.52/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------