TSTP Solution File: KLE017+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE017+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.USw86OkxJ0 true
% Computer : n026.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 05:38:18 EDT 2023
% Result : Theorem 9.82s 2.18s
% Output : Refutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 23
% Syntax : Number of formulae : 160 ( 76 unt; 11 typ; 0 def)
% Number of atoms : 238 ( 109 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 898 ( 65 ~; 74 |; 8 &; 744 @)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 183 ( 0 ^; 182 !; 1 ?; 183 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(test_type,type,
test: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( test @ X0 )
& ( test @ X1 )
& ( test @ X2 ) )
=> ( ( leq @ X2 @ ( multiplication @ X0 @ X1 ) )
<=> ( ( leq @ X2 @ X0 )
& ( leq @ X2 @ X1 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( test @ X0 )
& ( test @ X1 )
& ( test @ X2 ) )
=> ( ( leq @ X2 @ ( multiplication @ X0 @ X1 ) )
<=> ( ( leq @ X2 @ X0 )
& ( leq @ X2 @ X1 ) ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl24,plain,
( ~ ( leq @ sk__3 @ sk__2 )
| ~ ( leq @ sk__3 @ sk__1 )
| ~ ( leq @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(test_1,axiom,
! [X0: $i] :
( ( test @ X0 )
<=> ? [X1: $i] : ( complement @ X1 @ X0 ) ) ).
thf(zip_derived_cl13,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_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
= one )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( sk_ @ X0 ) )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).
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_cl22,plain,
( ( leq @ sk__3 @ sk__1 )
| ( leq @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl83,plain,
( ( leq @ sk__3 @ sk__1 )
| ( ( addition @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) )
= ( multiplication @ sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
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_cl143,plain,
! [X0: $i] :
( ( ( addition @ sk__3 @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) )
= ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) )
| ( leq @ sk__3 @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl253,plain,
! [X0: $i] :
( ( ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 )
!= ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) )
| ( leq @ sk__3 @ sk__1 )
| ( leq @ sk__3 @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl12]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] :
( ( leq @ sk__3 @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) )
| ( leq @ sk__3 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl275,plain,
! [X0: $i] :
( ( leq @ sk__3 @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ X0 ) ) )
| ( leq @ sk__3 @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl268]) ).
thf(zip_derived_cl604,plain,
( ( leq @ sk__3 @ ( multiplication @ sk__1 @ one ) )
| ~ ( test @ sk__2 )
| ( leq @ sk__3 @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl275]) ).
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_cl27,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl612,plain,
( ( leq @ sk__3 @ sk__1 )
| ( leq @ sk__3 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl5,zip_derived_cl27]) ).
thf(zip_derived_cl613,plain,
leq @ sk__3 @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl614,plain,
( ~ ( leq @ sk__3 @ sk__2 )
| ~ ( leq @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl613]) ).
thf(zip_derived_cl50_001,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( sk_ @ X0 ) )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).
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_002,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_cl62,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_cl12_003,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1209,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl12]) ).
thf(zip_derived_cl1268,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1209]) ).
thf(zip_derived_cl1294,plain,
! [X0: $i] :
( ( leq @ X0 @ one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl1268]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1307,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ one )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl1294,zip_derived_cl11]) ).
thf(zip_derived_cl613_005,plain,
leq @ sk__3 @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl612]) ).
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_cl615,plain,
( ( addition @ sk__3 @ sk__1 )
= sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl613,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_cl636,plain,
! [X0: $i] :
( ( addition @ sk__3 @ ( addition @ sk__1 @ X0 ) )
= ( addition @ sk__1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl1]) ).
thf(zip_derived_cl1571,plain,
( ( ( addition @ sk__3 @ one )
= ( addition @ sk__1 @ one ) )
| ~ ( test @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1307,zip_derived_cl636]) ).
thf(zip_derived_cl50_008,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( sk_ @ X0 ) )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).
thf(zip_derived_cl636_009,plain,
! [X0: $i] :
( ( addition @ sk__3 @ ( addition @ sk__1 @ X0 ) )
= ( addition @ sk__1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl1]) ).
thf(zip_derived_cl12_010,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl766,plain,
! [X0: $i] :
( ( ( addition @ sk__1 @ X0 )
!= ( addition @ sk__1 @ X0 ) )
| ( leq @ sk__3 @ ( addition @ sk__1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl12]) ).
thf(zip_derived_cl788,plain,
! [X0: $i] : ( leq @ sk__3 @ ( addition @ sk__1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl766]) ).
thf(zip_derived_cl799,plain,
( ( leq @ sk__3 @ one )
| ~ ( test @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl788]) ).
thf(zip_derived_cl26,plain,
test @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl801,plain,
leq @ sk__3 @ one,
inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl26]) ).
thf(zip_derived_cl11_011,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl802,plain,
( ( addition @ sk__3 @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl801,zip_derived_cl11]) ).
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_cl26_012,plain,
test @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1584,plain,
( one
= ( addition @ one @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1571,zip_derived_cl802,zip_derived_cl0,zip_derived_cl26]) ).
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_cl1268_014,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1209]) ).
thf(zip_derived_cl1285,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1268]) ).
thf(zip_derived_cl1603,plain,
leq @ sk__1 @ one,
inference('sup+',[status(thm)],[zip_derived_cl1584,zip_derived_cl1285]) ).
thf(zip_derived_cl11_015,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1628,plain,
( ( addition @ sk__1 @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl1603,zip_derived_cl11]) ).
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_cl12_016,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( multiplication @ ( addition @ X2 @ X1 ) @ X0 )
!= ( multiplication @ X1 @ X0 ) )
| ( leq @ ( multiplication @ X2 @ X0 ) @ ( multiplication @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl3700,plain,
! [X0: $i] :
( ( ( multiplication @ one @ X0 )
!= ( multiplication @ one @ X0 ) )
| ( leq @ ( multiplication @ sk__1 @ X0 ) @ ( multiplication @ one @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1628,zip_derived_cl223]) ).
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_cl6_017,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl6_018,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl3739,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( leq @ ( multiplication @ sk__1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3700,zip_derived_cl6,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl3740,plain,
! [X0: $i] : ( leq @ ( multiplication @ sk__1 @ X0 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl3739]) ).
thf(zip_derived_cl11_019,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl3772,plain,
! [X0: $i] :
( ( addition @ ( multiplication @ sk__1 @ X0 ) @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3740,zip_derived_cl11]) ).
thf(zip_derived_cl23,plain,
( ( leq @ sk__3 @ sk__2 )
| ( leq @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_020,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl85,plain,
( ( leq @ sk__3 @ sk__2 )
| ( ( addition @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) )
= ( multiplication @ sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl11]) ).
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_cl149,plain,
! [X0: $i] :
( ( ( addition @ sk__3 @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) )
= ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ X0 ) )
| ( leq @ sk__3 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl1]) ).
thf(zip_derived_cl4202,plain,
( ( ( addition @ sk__3 @ sk__2 )
= ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ sk__2 ) )
| ( leq @ sk__3 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3772,zip_derived_cl149]) ).
thf(zip_derived_cl0_022,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl3772_023,plain,
! [X0: $i] :
( ( addition @ ( multiplication @ sk__1 @ X0 ) @ X0 )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3740,zip_derived_cl11]) ).
thf(zip_derived_cl4246,plain,
( ( ( addition @ sk__2 @ sk__3 )
= sk__2 )
| ( leq @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4202,zip_derived_cl0,zip_derived_cl3772]) ).
thf(zip_derived_cl0_024,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl12_025,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] :
( ( ( addition @ X1 @ X0 )
!= X1 )
| ( leq @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).
thf(zip_derived_cl4665,plain,
leq @ sk__3 @ sk__2,
inference(clc,[status(thm)],[zip_derived_cl4246,zip_derived_cl34]) ).
thf(zip_derived_cl4666,plain,
~ ( leq @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl4665]) ).
thf(zip_derived_cl50_026,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( sk_ @ X0 ) )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).
thf(zip_derived_cl13_027,plain,
! [X0: $i] :
( ( complement @ ( sk_ @ X0 ) @ X0 )
| ~ ( test @ X0 ) ),
inference(cnf,[status(esa)],[test_1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( ( multiplication @ X0 @ X1 )
= zero )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( multiplication @ X0 @ ( sk_ @ X0 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl7_028,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_cl557,plain,
! [X0: $i,X1: $i] :
( ( ( multiplication @ X0 @ ( addition @ X1 @ ( sk_ @ X0 ) ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ zero ) )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl7]) ).
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_cl564,plain,
! [X0: $i,X1: $i] :
( ( ( multiplication @ X0 @ ( addition @ X1 @ ( sk_ @ X0 ) ) )
= ( multiplication @ X0 @ X1 ) )
| ~ ( test @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl2]) ).
thf(zip_derived_cl10775,plain,
! [X0: $i] :
( ( ( multiplication @ X0 @ one )
= ( multiplication @ X0 @ X0 ) )
| ~ ( test @ X0 )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl564]) ).
thf(zip_derived_cl5_029,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl10797,plain,
! [X0: $i] :
( ( X0
= ( multiplication @ X0 @ X0 ) )
| ~ ( test @ X0 )
| ~ ( test @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10775,zip_derived_cl5]) ).
thf(zip_derived_cl10798,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( X0
= ( multiplication @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10797]) ).
thf(zip_derived_cl4665_030,plain,
leq @ sk__3 @ sk__2,
inference(clc,[status(thm)],[zip_derived_cl4246,zip_derived_cl34]) ).
thf(zip_derived_cl11_031,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl4667,plain,
( ( addition @ sk__3 @ sk__2 )
= sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl4665,zip_derived_cl11]) ).
thf(zip_derived_cl7_032,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_cl12_033,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( multiplication @ X2 @ ( addition @ X1 @ X0 ) )
!= ( multiplication @ X2 @ X0 ) )
| ( leq @ ( multiplication @ X2 @ X1 ) @ ( multiplication @ X2 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl12]) ).
thf(zip_derived_cl4682,plain,
! [X0: $i] :
( ( ( multiplication @ X0 @ sk__2 )
!= ( multiplication @ X0 @ sk__2 ) )
| ( leq @ ( multiplication @ X0 @ sk__3 ) @ ( multiplication @ X0 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4667,zip_derived_cl182]) ).
thf(zip_derived_cl4697,plain,
! [X0: $i] : ( leq @ ( multiplication @ X0 @ sk__3 ) @ ( multiplication @ X0 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4682]) ).
thf(zip_derived_cl10917,plain,
( ( leq @ sk__3 @ ( multiplication @ sk__3 @ sk__2 ) )
| ~ ( test @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10798,zip_derived_cl4697]) ).
thf(zip_derived_cl25,plain,
test @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11001,plain,
leq @ sk__3 @ ( multiplication @ sk__3 @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl10917,zip_derived_cl25]) ).
thf(zip_derived_cl11_034,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl12264,plain,
( ( addition @ sk__3 @ ( multiplication @ sk__3 @ sk__2 ) )
= ( multiplication @ sk__3 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11001,zip_derived_cl11]) ).
thf(zip_derived_cl4667_035,plain,
( ( addition @ sk__3 @ sk__2 )
= sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl4665,zip_derived_cl11]) ).
thf(zip_derived_cl0_036,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1307_037,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ one )
= one ) ),
inference('sup-',[status(thm)],[zip_derived_cl1294,zip_derived_cl11]) ).
thf(zip_derived_cl802_038,plain,
( ( addition @ sk__3 @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl801,zip_derived_cl11]) ).
thf(zip_derived_cl1_039,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_040,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( addition @ X2 @ ( addition @ X1 @ X0 ) )
!= X0 )
| ( leq @ ( addition @ X2 @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
thf(zip_derived_cl909,plain,
! [X0: $i] :
( ( ( addition @ X0 @ one )
!= one )
| ( leq @ ( addition @ X0 @ sk__3 ) @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl56]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i] :
( ( one != one )
| ~ ( test @ X0 )
| ( leq @ ( addition @ X0 @ sk__3 ) @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl1307,zip_derived_cl909]) ).
thf(zip_derived_cl1582,plain,
! [X0: $i] :
( ( leq @ ( addition @ X0 @ sk__3 ) @ one )
| ~ ( test @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1565]) ).
thf(zip_derived_cl1992,plain,
! [X0: $i] :
( ( leq @ ( addition @ sk__3 @ X0 ) @ one )
| ~ ( test @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1582]) ).
thf(zip_derived_cl4693,plain,
( ( leq @ sk__2 @ one )
| ~ ( test @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4667,zip_derived_cl1992]) ).
thf(zip_derived_cl27_041,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4703,plain,
leq @ sk__2 @ one,
inference(demod,[status(thm)],[zip_derived_cl4693,zip_derived_cl27]) ).
thf(zip_derived_cl11_042,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl4868,plain,
( ( addition @ sk__2 @ one )
= one ),
inference('sup-',[status(thm)],[zip_derived_cl4703,zip_derived_cl11]) ).
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_cl5120,plain,
( ( addition @ one @ sk__2 )
= one ),
inference('sup+',[status(thm)],[zip_derived_cl4868,zip_derived_cl0]) ).
thf(zip_derived_cl5_044,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl7_045,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_cl194,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_cl5491,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= ( addition @ X0 @ ( multiplication @ X0 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5120,zip_derived_cl194]) ).
thf(zip_derived_cl5_046,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl5522,plain,
! [X0: $i] :
( X0
= ( addition @ X0 @ ( multiplication @ X0 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5491,zip_derived_cl5]) ).
thf(zip_derived_cl12265,plain,
( sk__3
= ( multiplication @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl12264,zip_derived_cl5522]) ).
thf(zip_derived_cl615_047,plain,
( ( addition @ sk__3 @ sk__1 )
= sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl11]) ).
thf(zip_derived_cl223_048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( multiplication @ ( addition @ X2 @ X1 ) @ X0 )
!= ( multiplication @ X1 @ X0 ) )
| ( leq @ ( multiplication @ X2 @ X0 ) @ ( multiplication @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl3707,plain,
! [X0: $i] :
( ( ( multiplication @ sk__1 @ X0 )
!= ( multiplication @ sk__1 @ X0 ) )
| ( leq @ ( multiplication @ sk__3 @ X0 ) @ ( multiplication @ sk__1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl223]) ).
thf(zip_derived_cl3748,plain,
! [X0: $i] : ( leq @ ( multiplication @ sk__3 @ X0 ) @ ( multiplication @ sk__1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3707]) ).
thf(zip_derived_cl12311,plain,
leq @ sk__3 @ ( multiplication @ sk__1 @ sk__2 ),
inference('sup+',[status(thm)],[zip_derived_cl12265,zip_derived_cl3748]) ).
thf(zip_derived_cl13326,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4666,zip_derived_cl12311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KLE017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.USw86OkxJ0 true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:47:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.82/2.18 % Solved by fo/fo5.sh.
% 9.82/2.18 % done 2234 iterations in 1.384s
% 9.82/2.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.82/2.18 % SZS output start Refutation
% See solution above
% 9.82/2.19
% 9.82/2.19
% 9.82/2.19 % Terminating...
% 11.27/2.26 % Runner terminated.
% 11.27/2.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------